{"id":15972,"date":"2026-09-04T08:51:36","date_gmt":"2026-09-04T08:51:36","guid":{"rendered":"https:\/\/www.hndfcrane.com\/?post_type=posts&#038;p=15972"},"modified":"2026-09-04T08:51:39","modified_gmt":"2026-09-04T08:51:39","slug":"overhead-crane-reducer-noise-gear-eccentricity-analysis-and-solutions","status":"publish","type":"posts","link":"https:\/\/www.hndfcrane.com\/el\/posts\/overhead-crane-reducer-noise-gear-eccentricity-analysis-and-solutions\/","title":{"rendered":"\u0398\u03cc\u03c1\u03c5\u03b2\u03bf\u03c2 \u03bc\u03b5\u03b9\u03c9\u03c4\u03ae\u03c1\u03b1 \u03b5\u03bd\u03b1\u03ad\u03c1\u03b9\u03b1\u03c2 \u03b3\u03b5\u03c1\u03b1\u03bd\u03bf\u03b3\u03ad\u03c6\u03c5\u03c1\u03b1\u03c2: \u0391\u03bd\u03ac\u03bb\u03c5\u03c3\u03b7 \u03b5\u03ba\u03ba\u03b5\u03bd\u03c4\u03c1\u03b9\u03ba\u03cc\u03c4\u03b7\u03c4\u03b1\u03c2 \u03b3\u03c1\u03b1\u03bd\u03b1\u03b6\u03b9\u03ce\u03bd \u03ba\u03b1\u03b9 \u03bb\u03cd\u03c3\u03b5\u03b9\u03c2"},"content":{"rendered":"<div class=\"wp-block-rank-math-toc-block\" id=\"rank-math-toc\"><p>\u03a0\u03af\u03bd\u03b1\u03ba\u03b1\u03c2 \u03c0\u03b5\u03c1\u03b9\u03b5\u03c7\u03bf\u03bc\u03ad\u03bd\u03c9\u03bd<\/p><nav><ul><li><a href=\"#1-gear-excitation-analysis-under-eccentricity-error\">\u0391\u03bd\u03ac\u03bb\u03c5\u03c3\u03b7 \u03b4\u03b9\u03ad\u03b3\u03b5\u03c1\u03c3\u03b7\u03c2 1 \u03b3\u03c1\u03b1\u03bd\u03b1\u03b6\u03b9\u03bf\u03cd \u03c5\u03c0\u03cc \u03c3\u03c6\u03ac\u03bb\u03bc\u03b1 \u03b5\u03ba\u03ba\u03b5\u03bd\u03c4\u03c1\u03b9\u03ba\u03cc\u03c4\u03b7\u03c4\u03b1\u03c2<\/a><ul><li><a href=\"#1-1-gear-pair-model\">1.1 \u039c\u03bf\u03bd\u03c4\u03ad\u03bb\u03bf \u03b6\u03b5\u03cd\u03b3\u03bf\u03c5\u03c2 \u03b3\u03c1\u03b1\u03bd\u03b1\u03b6\u03b9\u03ce\u03bd<\/a><\/li><\/ul><\/li><li><a href=\"#2-numerical-calculation-of-gear-excitation-in-overhead-crane-reducer-noise\">2 \u0391\u03c1\u03b9\u03b8\u03bc\u03b7\u03c4\u03b9\u03ba\u03cc\u03c2 \u03a5\u03c0\u03bf\u03bb\u03bf\u03b3\u03b9\u03c3\u03bc\u03cc\u03c2 \u03c4\u03b7\u03c2 \u0394\u03b9\u03ad\u03b3\u03b5\u03c1\u03c3\u03b7\u03c2 \u03c4\u03c9\u03bd \u0393\u03c1\u03b1\u03bd\u03b1\u03b6\u03b9\u03ce\u03bd \u03c3\u03c4\u03bf\u03bd \u0398\u03cc\u03c1\u03c5\u03b2\u03bf \u03c4\u03bf\u03c5 \u039c\u03b5\u03b9\u03c9\u03c4\u03ae \u0393\u03b5\u03c1\u03b1\u03bd\u03bf\u03b3\u03ad\u03c6\u03c5\u03c1\u03b1\u03c2<\/a><ul><li><a href=\"#2-1-vibration-differential-equation\">2.1 \u0394\u03b9\u03b1\u03c6\u03bf\u03c1\u03b9\u03ba\u03ae \u0395\u03be\u03af\u03c3\u03c9\u03c3\u03b7 \u0394\u03cc\u03bd\u03b7\u03c3\u03b7\u03c2<\/a><\/li><li><a href=\"#2-2-vibration-analysis-results\">2.2 \u0391\u03c0\u03bf\u03c4\u03b5\u03bb\u03ad\u03c3\u03bc\u03b1\u03c4\u03b1 \u0391\u03bd\u03ac\u03bb\u03c5\u03c3\u03b7\u03c2 \u039a\u03c1\u03b1\u03b4\u03b1\u03c3\u03bc\u03ce\u03bd<\/a><\/li><\/ul><\/li><li><a href=\"#3-radiated-noise-prediction-for-bogie-axle-bridge\">3 \u03a0\u03c1\u03cc\u03b2\u03bb\u03b5\u03c8\u03b7 \u0391\u03ba\u03c4\u03b9\u03bd\u03bf\u03b2\u03bf\u03bb\u03bf\u03cd\u03bc\u03b5\u03bd\u03bf\u03c5 \u0398\u03bf\u03c1\u03cd\u03b2\u03bf\u03c5 \u03b3\u03b9\u03b1 \u0393\u03ad\u03c6\u03c5\u03c1\u03b1 \u0386\u03be\u03bf\u03bd\u03b1 \u03a6\u03bf\u03c1\u03b5\u03af\u03bf\u03c5<\/a><ul><li><a href=\"#3-1-acoustic-model\">3.1 \u0391\u03ba\u03bf\u03c5\u03c3\u03c4\u03b9\u03ba\u03cc \u03bc\u03bf\u03bd\u03c4\u03ad\u03bb\u03bf<\/a><\/li><li><a href=\"#3-2-measures-to-reduce-abnormal-noise\">3.2 \u039c\u03ad\u03c4\u03c1\u03b1 \u03b3\u03b9\u03b1 \u03c4\u03b7 \u03bc\u03b5\u03af\u03c9\u03c3\u03b7 \u03c4\u03bf\u03c5 \u03b1\u03c3\u03c5\u03bd\u03ae\u03b8\u03b9\u03c3\u03c4\u03bf\u03c5 \u03b8\u03bf\u03c1\u03cd\u03b2\u03bf\u03c5<\/a><\/li><\/ul><\/li><li><a href=\"#4-conclusion\">4 \u03a3\u03c5\u03bc\u03c0\u03ad\u03c1\u03b1\u03c3\u03bc\u03b1<\/a><\/li><\/ul><\/nav><\/div>\n\n\n\n<p>\u039f \u03b8\u03cc\u03c1\u03c5\u03b2\u03bf\u03c2 \u03c4\u03bf\u03c5 \u03bc\u03b5\u03b9\u03c9\u03c4\u03ae\u03c1\u03b1 \u03b5\u03bd\u03b1\u03ad\u03c1\u03b9\u03b1\u03c2 \u03b3\u03b5\u03c1\u03b1\u03bd\u03bf\u03b3\u03ad\u03c6\u03c5\u03c1\u03b1\u03c2 \u03b5\u03bd\u03b4\u03ad\u03c7\u03b5\u03c4\u03b1\u03b9 \u03bd\u03b1 \u03c0\u03c1\u03bf\u03ba\u03bb\u03b7\u03b8\u03b5\u03af \u03ba\u03b1\u03c4\u03ac \u03c4\u03b7\u03bd \u03b1\u03bd\u03cd\u03c8\u03c9\u03c3\u03b7 \u03ba\u03b1\u03b9 \u03c4\u03b7 \u03b4\u03b9\u03b1\u03c7\u03b5\u03af\u03c1\u03b9\u03c3\u03b7 \u03c5\u03bb\u03b9\u03ba\u03ce\u03bd \u03c3\u03b5 \u03b5\u03c1\u03b3\u03b1\u03c3\u03c4\u03ae\u03c1\u03b9\u03b1, \u03b5\u03c0\u03b7\u03c1\u03b5\u03ac\u03b6\u03bf\u03bd\u03c4\u03b1\u03c2 \u03c4\u03b7\u03bd \u03ba\u03b1\u03bd\u03bf\u03bd\u03b9\u03ba\u03ae \u03bb\u03b5\u03b9\u03c4\u03bf\u03c5\u03c1\u03b3\u03af\u03b1 \u03c4\u03bf\u03c5 \u03b3\u03b5\u03c1\u03b1\u03bd\u03bf\u03cd. \u0391\u03c5\u03c4\u03cc \u03c4\u03bf \u03ac\u03c1\u03b8\u03c1\u03bf \u03b1\u03bd\u03b1\u03bb\u03cd\u03b5\u03b9 \u03c4\u03bf\u03bd \u03b1\u03c3\u03c5\u03bd\u03ae\u03b8\u03b9\u03c3\u03c4\u03bf \u03b8\u03cc\u03c1\u03c5\u03b2\u03bf \u03b1\u03c0\u03cc \u03c4\u03b7\u03bd \u03bf\u03c0\u03c4\u03b9\u03ba\u03ae \u03b3\u03c9\u03bd\u03af\u03b1 \u03c4\u03bf\u03c5 \u03c3\u03c6\u03ac\u03bb\u03bc\u03b1\u03c4\u03bf\u03c2 \u03b5\u03ba\u03ba\u03b5\u03bd\u03c4\u03c1\u03cc\u03c4\u03b7\u03c4\u03b1\u03c2 \u03c4\u03bf\u03c5 \u03b6\u03b5\u03cd\u03b3\u03bf\u03c5\u03c2 \u03b3\u03c1\u03b1\u03bd\u03b1\u03b6\u03b9\u03ce\u03bd. \u039c\u03b5 \u03b2\u03ac\u03c3\u03b7 \u03c4\u03b1 \u03b1\u03c0\u03bf\u03c4\u03b5\u03bb\u03ad\u03c3\u03bc\u03b1\u03c4\u03b1 \u03c5\u03c0\u03bf\u03bb\u03bf\u03b3\u03b9\u03c3\u03bc\u03bf\u03cd \u03c4\u03bf\u03c5 \u03b4\u03bf\u03bc\u03b9\u03ba\u03bf\u03cd \u03b8\u03bf\u03c1\u03cd\u03b2\u03bf\u03c5 \u03b1\u03c0\u03cc \u03c4\u03b7\u03bd \u03b1\u03bd\u03ac\u03bb\u03c5\u03c3\u03b7 \u03c0\u03c1\u03bf\u03c3\u03bf\u03bc\u03bf\u03af\u03c9\u03c3\u03b7\u03c2, \u03c0\u03b1\u03c1\u03ad\u03c7\u03b5\u03b9 \u03b5\u03c0\u03af\u03c3\u03b7\u03c2 \u03b1\u03bd\u03c4\u03af\u03c3\u03c4\u03bf\u03b9\u03c7\u03b5\u03c2 \u03bb\u03cd\u03c3\u03b5\u03b9\u03c2 \u03c9\u03c2 \u03b1\u03bd\u03b1\u03c6\u03bf\u03c1\u03ac \u03b3\u03b9\u03b1 \u03c4\u03b7 \u03b2\u03b5\u03bb\u03c4\u03af\u03c9\u03c3\u03b7. <a href=\"https:\/\/www.hndfcrane.com\/el\/overhead-cranes\/\">\u03b5\u03bd\u03b1\u03ad\u03c1\u03b9\u03bf\u03c2 \u03b3\u03b5\u03c1\u03b1\u03bd\u03cc\u03c2<\/a> \u03bb\u03b5\u03b9\u03c4\u03bf\u03c5\u03c1\u03b3\u03b9\u03ba\u03ae \u03b1\u03c0\u03cc\u03b4\u03bf\u03c3\u03b7.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1536\" height=\"1024\" src=\"https:\/\/www.hndfcrane.com\/wp-content\/uploads\/2026\/09\/Overhead-Crane-Reducer-Noise.png\" alt=\"\" class=\"wp-image-15994\"\/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"1-gear-excitation-analysis-under-eccentricity-error\">\u0391\u03bd\u03ac\u03bb\u03c5\u03c3\u03b7 \u03b4\u03b9\u03ad\u03b3\u03b5\u03c1\u03c3\u03b7\u03c2 1 \u03b3\u03c1\u03b1\u03bd\u03b1\u03b6\u03b9\u03bf\u03cd \u03c5\u03c0\u03cc \u03c3\u03c6\u03ac\u03bb\u03bc\u03b1 \u03b5\u03ba\u03ba\u03b5\u03bd\u03c4\u03c1\u03b9\u03ba\u03cc\u03c4\u03b7\u03c4\u03b1\u03c2<\/h2>\n\n\n\n<p>\u0397 \u03b3\u03b5\u03c1\u03b1\u03bd\u03bf\u03b3\u03ad\u03c6\u03c5\u03c1\u03b1 \u03c0\u03bf\u03c5 \u03b1\u03bd\u03b1\u03bb\u03cd\u03b5\u03c4\u03b1\u03b9 \u03c3\u03b5 \u03b1\u03c5\u03c4\u03cc \u03c4\u03bf \u03ac\u03c1\u03b8\u03c1\u03bf \u03b5\u03af\u03bd\u03b1\u03b9 \u03ad\u03bd\u03b1 \u03bc\u03bf\u03bd\u03c4\u03ad\u03bb\u03bf LD10 t-28,5 m, \u03b5\u03be\u03bf\u03c0\u03bb\u03b9\u03c3\u03bc\u03ad\u03bd\u03bf \u03bc\u03b5 \u03c4\u03c1\u03b9\u03c6\u03b1\u03c3\u03b9\u03ba\u03cc \u03b1\u03c3\u03cd\u03b3\u03c7\u03c1\u03bf\u03bd\u03bf \u03ba\u03b9\u03bd\u03b7\u03c4\u03ae\u03c1\u03b1 13 kW. \u039f \u03bc\u03b5\u03b9\u03c9\u03c4\u03ae\u03c1\u03b1\u03c2 \u03c7\u03c1\u03b7\u03c3\u03b9\u03bc\u03bf\u03c0\u03bf\u03b9\u03b5\u03af \u03ad\u03bd\u03b1 \u03c4\u03b5\u03c4\u03c1\u03b1\u03b2\u03ac\u03b8\u03bc\u03b9\u03bf \u03b5\u03bb\u03b9\u03ba\u03bf\u03b5\u03b9\u03b4\u03ad\u03c2 \u03ba\u03b9\u03b2\u03ce\u03c4\u03b9\u03bf \u03c4\u03b1\u03c7\u03c5\u03c4\u03ae\u03c4\u03c9\u03bd \u03c0\u03b1\u03c1\u03ac\u03bb\u03bb\u03b7\u03bb\u03bf\u03c5 \u03ac\u03be\u03bf\u03bd\u03b1. \u038c\u03c4\u03b1\u03bd \u03bb\u03b1\u03bc\u03b2\u03ac\u03bd\u03b5\u03c4\u03b1\u03b9 \u03c5\u03c0\u03cc\u03c8\u03b7 \u03c4\u03bf \u03c3\u03c6\u03ac\u03bb\u03bc\u03b1 \u03b5\u03ba\u03ba\u03b5\u03bd\u03c4\u03c1\u03cc\u03c4\u03b7\u03c4\u03b1\u03c2, \u03b7 \u03b1\u03bd\u03ac\u03bb\u03c5\u03c3\u03b7 \u03be\u03b5\u03ba\u03b9\u03bd\u03ac \u03c0\u03c1\u03ce\u03c4\u03b1 \u03b1\u03c0\u03cc \u03ad\u03bd\u03b1 \u03bc\u03cc\u03bd\u03bf \u03b6\u03b5\u03cd\u03b3\u03bf\u03c2 \u03b3\u03c1\u03b1\u03bd\u03b1\u03b6\u03b9\u03ce\u03bd \u03ba\u03b1\u03b9 \u03c4\u03bf \u03bc\u03ae\u03ba\u03bf\u03c2 \u03c4\u03b7\u03c2 \u03b3\u03c1\u03b1\u03bc\u03bc\u03ae\u03c2 \u03b5\u03bc\u03c0\u03bb\u03bf\u03ba\u03ae\u03c2 \u03c4\u03bf\u03c5.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"1-1-gear-pair-model\">1.1 \u039c\u03bf\u03bd\u03c4\u03ad\u03bb\u03bf \u03b6\u03b5\u03cd\u03b3\u03bf\u03c5\u03c2 \u03b3\u03c1\u03b1\u03bd\u03b1\u03b6\u03b9\u03ce\u03bd<\/h3>\n\n\n\n<p>\u038c\u03c4\u03b1\u03bd \u03bb\u03b1\u03bc\u03b2\u03ac\u03bd\u03b5\u03c4\u03b1\u03b9 \u03c5\u03c0\u03cc\u03c8\u03b7 \u03b7 \u03b5\u03ba\u03ba\u03b5\u03bd\u03c4\u03c1\u03cc\u03c4\u03b7\u03c4\u03b1 \u03c4\u03bf\u03c5 \u03b3\u03c1\u03b1\u03bd\u03b1\u03b6\u03b9\u03bf\u03cd, \u03c9\u03c2 \u03c3\u03b7\u03bc\u03b5\u03af\u03bf \u03b5\u03ba\u03ba\u03af\u03bd\u03b7\u03c3\u03b7\u03c2 \u03c7\u03c1\u03b7\u03c3\u03b9\u03bc\u03bf\u03c0\u03bf\u03b9\u03b5\u03af\u03c4\u03b1\u03b9 \u03b7 \u03b5\u03ba\u03ba\u03b5\u03bd\u03c4\u03c1\u03cc\u03c4\u03b7\u03c4\u03b1 \u03c4\u03bf\u03c5 \u03ba\u03b9\u03bd\u03b7\u03c4\u03ae\u03c1\u03b9\u03bf\u03c5 \u03ba\u03b1\u03b9 \u03c4\u03bf\u03c5 \u03ba\u03b9\u03bd\u03bf\u03cd\u03bc\u03b5\u03bd\u03bf\u03c5 \u03b3\u03c1\u03b1\u03bd\u03b1\u03b6\u03b9\u03bf\u03cd. \u039c\u03b5 \u03b2\u03ac\u03c3\u03b7 \u03c4\u03bf\u03bd \u03b3\u03bd\u03c9\u03c3\u03c4\u03cc \u03b1\u03c1\u03b9\u03b8\u03bc\u03cc \u03b4\u03bf\u03bd\u03c4\u03b9\u03ce\u03bd \u03c4\u03bf\u03c5 \u03b3\u03c1\u03b1\u03bd\u03b1\u03b6\u03b9\u03bf\u03cd \u03ba\u03b1\u03b9 \u03c4\u03b7\u03bd \u03c4\u03b1\u03c7\u03cd\u03c4\u03b7\u03c4\u03b1 \u03c4\u03bf\u03c5 \u03ba\u03b9\u03bd\u03b7\u03c4\u03ae\u03c1\u03b9\u03bf\u03c5 \u03b3\u03c1\u03b1\u03bd\u03b1\u03b6\u03b9\u03bf\u03cd, \u03bc\u03c0\u03bf\u03c1\u03b5\u03af \u03bd\u03b1 \u03bb\u03b7\u03c6\u03b8\u03b5\u03af \u03b7 \u03c7\u03b1\u03c1\u03b1\u03ba\u03c4\u03b7\u03c1\u03b9\u03c3\u03c4\u03b9\u03ba\u03ae \u03ba\u03b1\u03bc\u03c0\u03cd\u03bb\u03b7 \u03c7\u03c1\u03cc\u03bd\u03bf\u03c5-\u03c3\u03c5\u03c7\u03bd\u03cc\u03c4\u03b7\u03c4\u03b1\u03c2 \u03c4\u03b7\u03c2 \u03c4\u03b1\u03c7\u03cd\u03c4\u03b7\u03c4\u03b1\u03c2 \u03c4\u03bf\u03c5 \u03ba\u03b9\u03bd\u03bf\u03cd\u03bc\u03b5\u03bd\u03bf\u03c5 \u03b3\u03c1\u03b1\u03bd\u03b1\u03b6\u03b9\u03bf\u03cd \u03ba\u03b1\u03b9 \u03bd\u03b1 \u03c3\u03c5\u03b3\u03ba\u03c1\u03b9\u03b8\u03b5\u03af \u03bc\u03b5 \u03c4\u03bf \u03b1\u03c0\u03bf\u03c4\u03ad\u03bb\u03b5\u03c3\u03bc\u03b1 \u03c5\u03c0\u03cc \u03c4\u03b7\u03bd \u03c5\u03c0\u03cc\u03b8\u03b5\u03c3\u03b7 \u03bc\u03b7\u03b4\u03b5\u03bd\u03b9\u03ba\u03ae\u03c2 \u03b5\u03ba\u03ba\u03b5\u03bd\u03c4\u03c1\u03b9\u03ba\u03cc\u03c4\u03b7\u03c4\u03b1\u03c2. \u03a4\u03bf \u03bc\u03bf\u03bd\u03c4\u03ad\u03bb\u03bf \u03b6\u03b5\u03cd\u03b3\u03bf\u03c5\u03c2 \u03b5\u03ba\u03ba\u03b5\u03bd\u03c4\u03c1\u03b9\u03ba\u03ce\u03bd \u03b3\u03c1\u03b1\u03bd\u03b1\u03b6\u03b9\u03ce\u03bd \u03c6\u03b1\u03af\u03bd\u03b5\u03c4\u03b1\u03b9 \u03c3\u03c4\u03bf \u03a3\u03c7\u03ae\u03bc\u03b1 1.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1385\" height=\"1136\" src=\"https:\/\/www.hndfcrane.com\/wp-content\/uploads\/2026\/09\/Eccentric-gear-pair-model.png\" alt=\"\" class=\"wp-image-15991\"\/><figcaption class=\"wp-element-caption\">\u03a3\u03c7\u03ae\u03bc\u03b1 1 \u039c\u03bf\u03bd\u03c4\u03ad\u03bb\u03bf \u03ad\u03ba\u03ba\u03b5\u03bd\u03c4\u03c1\u03bf\u03c5 \u03b6\u03b5\u03cd\u03b3\u03bf\u03c5\u03c2 \u03b3\u03c1\u03b1\u03bd\u03b1\u03b6\u03b9\u03ce\u03bd<\/figcaption><\/figure>\n\n\n\n<p><code>\u039f1<\/code> \u03ba\u03b1\u03b9 <code>\u039f2<\/code> \u03b5\u03af\u03bd\u03b1\u03b9 \u03c4\u03b1 \u03b3\u03b5\u03c9\u03bc\u03b5\u03c4\u03c1\u03b9\u03ba\u03ac \u03ba\u03ad\u03bd\u03c4\u03c1\u03b1 \u03c4\u03bf\u03c5 \u03b6\u03b5\u03cd\u03b3\u03bf\u03c5\u03c2 \u03b3\u03c1\u03b1\u03bd\u03b1\u03b6\u03b9\u03ce\u03bd \u03c5\u03c0\u03cc \u03c4\u03b7\u03bd \u03c5\u03c0\u03cc\u03b8\u03b5\u03c3\u03b7 \u03bc\u03b7\u03b4\u03b5\u03bd\u03b9\u03ba\u03ae\u03c2 \u03b5\u03ba\u03ba\u03b5\u03bd\u03c4\u03c1\u03b9\u03ba\u03cc\u03c4\u03b7\u03c4\u03b1\u03c2. \u039c\u03b5\u03c4\u03ac \u03c4\u03b9\u03c2 \u03b5\u03ba\u03ba\u03b5\u03bd\u03c4\u03c1\u03cc\u03c4\u03b7\u03c4\u03b5\u03c2 <code>\u03951<\/code> \u03ba\u03b1\u03b9 <code>\u03952<\/code> \u03c3\u03c5\u03bc\u03b2\u03b1\u03af\u03bd\u03bf\u03c5\u03bd, \u03c4\u03b1 \u03b3\u03b5\u03c9\u03bc\u03b5\u03c4\u03c1\u03b9\u03ba\u03ac \u03ba\u03ad\u03bd\u03c4\u03c1\u03b1 \u03c4\u03c9\u03bd \u03b3\u03c1\u03b1\u03bd\u03b1\u03b6\u03b9\u03ce\u03bd \u03b3\u03af\u03bd\u03bf\u03bd\u03c4\u03b1\u03b9 <code>\u039f11<\/code> \u03ba\u03b1\u03b9 <code>\u039f22<\/code>\u039c\u03c0\u03bf\u03c1\u03b5\u03af \u03bd\u03b1 \u03c6\u03b1\u03bd\u03b5\u03af \u03cc\u03c4\u03b9, \u03b1\u03bd\u03b5\u03be\u03ac\u03c1\u03c4\u03b7\u03c4\u03b1 \u03b1\u03c0\u03cc \u03c4\u03b7\u03bd \u03c4\u03b9\u03bc\u03ae \u03c4\u03b7\u03c2 \u03b5\u03ba\u03ba\u03b5\u03bd\u03c4\u03c1\u03cc\u03c4\u03b7\u03c4\u03b1\u03c2, \u03b7 \u03b3\u03c1\u03b1\u03bc\u03bc\u03ae \u03b5\u03bc\u03c0\u03bb\u03bf\u03ba\u03ae\u03c2 \u03c0\u03bf\u03c5 \u03c3\u03c7\u03b7\u03bc\u03b1\u03c4\u03af\u03b6\u03b5\u03c4\u03b1\u03b9 \u03b1\u03c0\u03cc \u03c4\u03b7 \u03c3\u03cd\u03bd\u03b4\u03b5\u03c3\u03b7 \u03c4\u03c9\u03bd \u03b5\u03c6\u03b1\u03c0\u03c4\u03bf\u03bc\u03ad\u03bd\u03c9\u03bd \u03c3\u03b7\u03bc\u03b5\u03af\u03c9\u03bd <code>T1(xT1, yT1)<\/code> \u03ba\u03b1\u03b9 <code>T2(xT2, yT2)<\/code> \u03ad\u03c7\u03b5\u03b9 \u03c0\u03ac\u03bd\u03c4\u03b1 \u03ad\u03bd\u03b1 \u03b4\u03c5\u03bd\u03b1\u03bc\u03b9\u03ba\u03cc \u03c3\u03b7\u03bc\u03b5\u03af\u03bf \u03c4\u03bf\u03bc\u03ae\u03c2 <code>M(xM, yM)<\/code> \u03bc\u03b5 \u03c4\u03b7 \u03b3\u03c1\u03b1\u03bc\u03bc\u03ae \u03c0\u03bf\u03c5 \u03c3\u03c5\u03bd\u03b4\u03ad\u03b5\u03b9 \u03c4\u03b1 \u03b3\u03b5\u03c9\u03bc\u03b5\u03c4\u03c1\u03b9\u03ba\u03ac \u03ba\u03ad\u03bd\u03c4\u03c1\u03b1 \u03c4\u03c9\u03bd \u03b3\u03c1\u03b1\u03bd\u03b1\u03b6\u03b9\u03ce\u03bd.<\/p>\n\n\n\n<p>\u039b\u03b1\u03bc\u03b2\u03ac\u03bd\u03bf\u03bd\u03c4\u03b1\u03c2 \u03c5\u03c0\u03cc\u03c8\u03b7 \u03c4\u03b7\u03bd \u03b1\u03c0\u03cc\u03ba\u03bb\u03b9\u03c3\u03b7, \u03b7 \u03b3\u03c1\u03b1\u03bc\u03bc\u03ae \u03b5\u03bc\u03c0\u03bb\u03bf\u03ba\u03ae\u03c2 \u03c4\u03bf\u03c5 \u03b6\u03b5\u03cd\u03b3\u03bf\u03c5\u03c2 \u03b3\u03c1\u03b1\u03bd\u03b1\u03b6\u03b9\u03ce\u03bd \u03ad\u03c7\u03b5\u03b9 \u03c7\u03c1\u03bf\u03bd\u03b9\u03ba\u03ac \u03bc\u03b5\u03c4\u03b1\u03b2\u03b1\u03bb\u03bb\u03cc\u03bc\u03b5\u03bd\u03b1 \u03c7\u03b1\u03c1\u03b1\u03ba\u03c4\u03b7\u03c1\u03b9\u03c3\u03c4\u03b9\u03ba\u03ac. \u0397 \u03b5\u03be\u03af\u03c3\u03c9\u03c3\u03ae \u03c4\u03b7\u03c2 \u03bc\u03c0\u03bf\u03c1\u03b5\u03af \u03bd\u03b1 \u03b5\u03ba\u03c6\u03c1\u03b1\u03c3\u03c4\u03b5\u03af \u03c9\u03c2:<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1005\" height=\"192\" src=\"https:\/\/www.hndfcrane.com\/wp-content\/uploads\/2026\/09\/Gear-Pair-Meshing-Line-Equation-watermarked.png\" alt=\"\" class=\"wp-image-16002\"\/><\/figure>\n\n\n\n<p>\u038c\u03c4\u03b1\u03bd \u03b7 \u03b1\u03c1\u03c7\u03ae \u03c4\u03c9\u03bd \u03c3\u03c5\u03bd\u03c4\u03b5\u03c4\u03b1\u03b3\u03bc\u03ad\u03bd\u03c9\u03bd \u03c4\u03bf\u03c0\u03bf\u03b8\u03b5\u03c4\u03b5\u03af\u03c4\u03b1\u03b9 \u03c3\u03c4\u03bf \u03c3\u03b7\u03bc\u03b5\u03af\u03bf <code>\u039f11<\/code>, \u03b7 \u03b4\u03c5\u03bd\u03b1\u03bc\u03b9\u03ba\u03ae \u03b5\u03b3\u03ba\u03ac\u03c1\u03c3\u03b9\u03b1 \u03c3\u03c5\u03bd\u03c4\u03b5\u03c4\u03b1\u03b3\u03bc\u03ad\u03bd\u03b7 \u03c4\u03bf\u03c5 \u03c3\u03b7\u03bc\u03b5\u03af\u03bf\u03c5 <code>\u039c<\/code> \u03bc\u03c0\u03bf\u03c1\u03b5\u03af \u03bd\u03b1 \u03b5\u03ba\u03c6\u03c1\u03b1\u03c3\u03c4\u03b5\u03af \u03c9\u03c2:<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"977\" height=\"198\" src=\"https:\/\/www.hndfcrane.com\/wp-content\/uploads\/2026\/09\/Dynamic-Intersection-Point-Coordinate-Equation-watermarked.png\" alt=\"\" class=\"wp-image-16003\"\/><\/figure>\n\n\n\n<p>\u0397 \u03c3\u03c4\u03b9\u03b3\u03bc\u03b9\u03b1\u03af\u03b1 \u03c3\u03c7\u03ad\u03c3\u03b7 \u03bc\u03b5\u03c4\u03ac\u03b4\u03bf\u03c3\u03b7\u03c2 \u03c4\u03bf\u03c5 \u03b6\u03b5\u03cd\u03b3\u03bf\u03c5\u03c2 \u03b3\u03c1\u03b1\u03bd\u03b1\u03b6\u03b9\u03ce\u03bd \u03b5\u03af\u03bd\u03b1\u03b9:<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"924\" height=\"204\" src=\"https:\/\/www.hndfcrane.com\/wp-content\/uploads\/2026\/09\/Instantaneous-Gear-Transmission-Ratio-Equation-watermarked.png\" alt=\"\" class=\"wp-image-16004\"\/><\/figure>\n\n\n\n<p>\u03a3\u03c4\u03bf\u03bd \u03c0\u03c1\u03b1\u03b3\u03bc\u03b1\u03c4\u03b9\u03ba\u03cc \u03c5\u03c0\u03bf\u03bb\u03bf\u03b3\u03b9\u03c3\u03bc\u03cc, \u03c4\u03bf \u03b4\u03c5\u03bd\u03b1\u03bc\u03b9\u03ba\u03cc \u03c3\u03b7\u03bc\u03b5\u03af\u03bf \u03c4\u03bf\u03bc\u03ae\u03c2 <code>\u039c<\/code> \u03ad\u03c7\u03b5\u03b9 \u03bc\u03b9\u03b1 \u03c3\u03c5\u03b3\u03ba\u03b5\u03ba\u03c1\u03b9\u03bc\u03ad\u03bd\u03b7 \u03c3\u03c7\u03ad\u03c3\u03b7 \u03bc\u03b5 \u03c4\u03b7 \u03b3\u03c1\u03b1\u03bc\u03bc\u03ae \u03b5\u03bc\u03c0\u03bb\u03bf\u03ba\u03ae\u03c2, \u03c4\u03b7 \u03b3\u03c9\u03bd\u03af\u03b1 \u03bc\u03b5\u03c4\u03b1\u03be\u03cd \u03c4\u03b7\u03c2 \u03ba\u03b1\u03c4\u03b5\u03cd\u03b8\u03c5\u03bd\u03c3\u03b7\u03c2 \u03ba\u03af\u03bd\u03b7\u03c3\u03b7\u03c2 \u03ba\u03b1\u03b9 \u03c4\u03b7\u03bd \u03c3\u03c4\u03b9\u03b3\u03bc\u03b9\u03b1\u03af\u03b1 \u03c4\u03b1\u03c7\u03cd\u03c4\u03b7\u03c4\u03b1 \u03c4\u03b7\u03c2 \u03b3\u03c1\u03b1\u03bc\u03bc\u03ae\u03c2 \u03b5\u03bc\u03c0\u03bb\u03bf\u03ba\u03ae\u03c2 \u03c4\u03bf\u03c5 \u03b3\u03c1\u03b1\u03bd\u03b1\u03b6\u03b9\u03bf\u03cd. \u0391\u03c6\u03bf\u03cd \u03c0\u03c1\u03bf\u03c3\u03b4\u03b9\u03bf\u03c1\u03b9\u03c3\u03c4\u03b5\u03af \u03c4\u03bf \u03b5\u03cd\u03c1\u03bf\u03c2 \u03b5\u03ba\u03ba\u03b5\u03bd\u03c4\u03c1\u03cc\u03c4\u03b7\u03c4\u03b1\u03c2 \u03ba\u03b1\u03b9 \u03b7 \u03b3\u03c9\u03bd\u03b9\u03b1\u03ba\u03ae \u03c4\u03b1\u03c7\u03cd\u03c4\u03b7\u03c4\u03b1 \u03b5\u03b9\u03c3\u03cc\u03b4\u03bf\u03c5, \u03bc\u03c0\u03bf\u03c1\u03bf\u03cd\u03bd \u03bd\u03b1 \u03c7\u03c1\u03b7\u03c3\u03b9\u03bc\u03bf\u03c0\u03bf\u03b9\u03b7\u03b8\u03bf\u03cd\u03bd \u03bf\u03b9 \u03c4\u03cd\u03c0\u03bf\u03b9 (1) \u03ad\u03c9\u03c2 (3) \u03b3\u03b9\u03b1 \u03bd\u03b1 \u03c5\u03c0\u03bf\u03bb\u03bf\u03b3\u03b9\u03c3\u03c4\u03b5\u03af \u03b7 \u03b3\u03c9\u03bd\u03b9\u03b1\u03ba\u03ae \u03c4\u03b1\u03c7\u03cd\u03c4\u03b7\u03c4\u03b1 \u03c4\u03bf\u03c5 \u03ba\u03b9\u03bd\u03bf\u03cd\u03bc\u03b5\u03bd\u03bf\u03c5 \u03b3\u03c1\u03b1\u03bd\u03b1\u03b6\u03b9\u03bf\u03cd \u03ba\u03b1\u03b9 \u03bd\u03b1 \u03c5\u03c0\u03bf\u03bb\u03bf\u03b3\u03b9\u03c3\u03c4\u03b5\u03af \u03c0\u03b5\u03c1\u03b1\u03b9\u03c4\u03ad\u03c1\u03c9 \u03b7 \u03b4\u03c5\u03bd\u03b1\u03bc\u03b9\u03ba\u03ae \u03b4\u03b9\u03ad\u03b3\u03b5\u03c1\u03c3\u03b7 \u03c4\u03bf\u03c5 \u03b6\u03b5\u03cd\u03b3\u03bf\u03c5\u03c2 \u03b3\u03c1\u03b1\u03bd\u03b1\u03b6\u03b9\u03ce\u03bd \u03c5\u03c0\u03cc \u03c3\u03c6\u03ac\u03bb\u03bc\u03b1 \u03b5\u03ba\u03ba\u03b5\u03bd\u03c4\u03c1\u03cc\u03c4\u03b7\u03c4\u03b1\u03c2.<\/p>\n\n\n\n<p>\u03a3\u03c4\u03b7\u03bd \u03c0\u03c1\u03b1\u03b3\u03bc\u03b1\u03c4\u03b9\u03ba\u03ae \u03ba\u03b1\u03c4\u03b1\u03c3\u03ba\u03b5\u03c5\u03ae, \u03bf\u03b9 \u03b5\u03ba\u03ba\u03b5\u03bd\u03c4\u03c1\u03cc\u03c4\u03b7\u03c4\u03b5\u03c2 <code>\u03951<\/code> \u03ba\u03b1\u03b9 <code>\u03952<\/code> \u03bc\u03c0\u03bf\u03c1\u03b5\u03af \u03bd\u03b1 \u03bb\u03b7\u03c6\u03b8\u03b5\u03af \u03c0\u03b5\u03c1\u03af\u03c0\u03bf\u03c5 \u03c9\u03c2 \u03c4\u03bf \u03af\u03b4\u03b9\u03bf. \u039c\u03b5 \u03b5\u03ba\u03ba\u03b5\u03bd\u03c4\u03c1\u03cc\u03c4\u03b7\u03c4\u03b1 \u03b5\u03bb\u03b9\u03ba\u03bf\u03b5\u03b9\u03b4\u03bf\u03cd\u03c2 \u03b6\u03b5\u03cd\u03b3\u03bf\u03c5\u03c2 \u03b3\u03c1\u03b1\u03bd\u03b1\u03b6\u03b9\u03ce\u03bd 20 \u03bcm \u03ba\u03ac\u03c4\u03c9 \u03b1\u03c0\u03cc \u03c4\u03bf\u03bd \u03b3\u03bd\u03c9\u03c3\u03c4\u03cc \u03b2\u03b1\u03b8\u03bc\u03cc \u03b1\u03ba\u03c1\u03af\u03b2\u03b5\u03b9\u03b1\u03c2, \u03b7 \u03c5\u03c0\u03bf\u03bb\u03bf\u03b3\u03b9\u03c3\u03bc\u03ad\u03bd\u03b7 \u03c7\u03b1\u03c1\u03b1\u03ba\u03c4\u03b7\u03c1\u03b9\u03c3\u03c4\u03b9\u03ba\u03ae \u03ba\u03b1\u03bc\u03c0\u03cd\u03bb\u03b7 \u03c7\u03c1\u03cc\u03bd\u03bf\u03c5-\u03c3\u03c5\u03c7\u03bd\u03cc\u03c4\u03b7\u03c4\u03b1\u03c2 \u03c4\u03bf\u03c5 \u03ba\u03b9\u03bd\u03bf\u03cd\u03bc\u03b5\u03bd\u03bf\u03c5 \u03b3\u03c1\u03b1\u03bd\u03b1\u03b6\u03b9\u03bf\u03cd \u03c6\u03b1\u03af\u03bd\u03b5\u03c4\u03b1\u03b9 \u03c3\u03c4\u03bf \u03a3\u03c7\u03ae\u03bc\u03b1 2.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1033\" height=\"1523\" src=\"https:\/\/www.hndfcrane.com\/wp-content\/uploads\/2026\/09\/Time-frequency-curve-of-driven-gear-angular-velocity.png\" alt=\"\" class=\"wp-image-15989\"\/><figcaption class=\"wp-element-caption\">\u03a3\u03c7\u03ae\u03bc\u03b1 2 \u039a\u03b1\u03bc\u03c0\u03cd\u03bb\u03b7 \u03c7\u03c1\u03cc\u03bd\u03bf\u03c5-\u03c3\u03c5\u03c7\u03bd\u03cc\u03c4\u03b7\u03c4\u03b1\u03c2 \u03c4\u03b7\u03c2 \u03b3\u03c9\u03bd\u03b9\u03b1\u03ba\u03ae\u03c2 \u03c4\u03b1\u03c7\u03cd\u03c4\u03b7\u03c4\u03b1\u03c2 \u03c4\u03bf\u03c5 \u03ba\u03b9\u03bd\u03bf\u03cd\u03bc\u03b5\u03bd\u03bf\u03c5 \u03b3\u03c1\u03b1\u03bd\u03b1\u03b6\u03b9\u03bf\u03cd: (\u03b1) \u03b3\u03c9\u03bd\u03b9\u03b1\u03ba\u03ae \u03c4\u03b1\u03c7\u03cd\u03c4\u03b7\u03c4\u03b1 \u03c3\u03c4\u03bf \u03c7\u03c1\u03bf\u03bd\u03b9\u03ba\u03cc \u03c0\u03b5\u03b4\u03af\u03bf\u00b7 (\u03b2) \u03b3\u03c9\u03bd\u03b9\u03b1\u03ba\u03ae \u03c4\u03b1\u03c7\u03cd\u03c4\u03b7\u03c4\u03b1 \u03c3\u03c4\u03bf \u03c0\u03b5\u03b4\u03af\u03bf \u03c3\u03c5\u03c7\u03bd\u03cc\u03c4\u03b7\u03c4\u03b1\u03c2<\/figcaption><\/figure>\n\n\n\n<p>\u038c\u03c4\u03b1\u03bd \u03b4\u03b5\u03bd \u03c5\u03c0\u03bf\u03c4\u03af\u03b8\u03b5\u03c4\u03b1\u03b9 \u03c3\u03c6\u03ac\u03bb\u03bc\u03b1 \u03b5\u03ba\u03ba\u03b5\u03bd\u03c4\u03c1\u03b9\u03ba\u03cc\u03c4\u03b7\u03c4\u03b1\u03c2, \u03b7 \u03b3\u03c9\u03bd\u03b9\u03b1\u03ba\u03ae \u03c4\u03b1\u03c7\u03cd\u03c4\u03b7\u03c4\u03b1 \u03c4\u03bf\u03c5 \u03ba\u03b9\u03bd\u03bf\u03cd\u03bc\u03b5\u03bd\u03bf\u03c5 \u03b3\u03c1\u03b1\u03bd\u03b1\u03b6\u03b9\u03bf\u03cd \u03b1\u03bd\u03b1\u03c0\u03b1\u03c1\u03af\u03c3\u03c4\u03b1\u03c4\u03b1\u03b9 \u03b1\u03c0\u03cc \u03c4\u03b7\u03bd \u03c1\u03bf\u03b6 \u03b5\u03c5\u03b8\u03b5\u03af\u03b1 \u03b3\u03c1\u03b1\u03bc\u03bc\u03ae \u03c3\u03c4\u03bf \u03a3\u03c7\u03ae\u03bc\u03b1 2\u03b1. \u038c\u03c4\u03b1\u03bd \u03c5\u03c0\u03ac\u03c1\u03c7\u03b5\u03b9 \u03c3\u03c6\u03ac\u03bb\u03bc\u03b1 \u03b5\u03ba\u03ba\u03b5\u03bd\u03c4\u03c1\u03b9\u03ba\u03cc\u03c4\u03b7\u03c4\u03b1\u03c2, \u03b7 \u03b3\u03c9\u03bd\u03b9\u03b1\u03ba\u03ae \u03c4\u03b1\u03c7\u03cd\u03c4\u03b7\u03c4\u03b1 \u03c4\u03bf\u03c5 \u03ba\u03b9\u03bd\u03bf\u03cd\u03bc\u03b5\u03bd\u03bf\u03c5 \u03b3\u03c1\u03b1\u03bd\u03b1\u03b6\u03b9\u03bf\u03cd \u03c0\u03b1\u03c1\u03bf\u03c5\u03c3\u03b9\u03ac\u03b6\u03b5\u03b9 \u03b5\u03bc\u03c6\u03b1\u03bd\u03ae \u03ba\u03b1\u03b9 \u03ba\u03b1\u03bd\u03bf\u03bd\u03b9\u03ba\u03ae \u03b4\u03b9\u03b1\u03ba\u03cd\u03bc\u03b1\u03bd\u03c3\u03b7, \u03c3\u03c5\u03b3\u03ba\u03b5\u03bd\u03c4\u03c1\u03c9\u03bc\u03ad\u03bd\u03b7 \u03c3\u03c4\u03b7\u03bd \u03c0\u03b5\u03c1\u03b9\u03bf\u03c7\u03ae \u03c4\u03c9\u03bd 40,5-41,5 rad\/s. \u03a4\u03bf \u03b1\u03c0\u03bf\u03c4\u03ad\u03bb\u03b5\u03c3\u03bc\u03b1 \u03c3\u03c4\u03bf \u03c0\u03b5\u03b4\u03af\u03bf \u03c3\u03c5\u03c7\u03bd\u03cc\u03c4\u03b7\u03c4\u03b1\u03c2 \u03bc\u03b5\u03c4\u03ac \u03c4\u03bf\u03bd \u03bc\u03b5\u03c4\u03b1\u03c3\u03c7\u03b7\u03bc\u03b1\u03c4\u03b9\u03c3\u03bc\u03cc Fourier \u03b1\u03bd\u03c4\u03b9\u03ba\u03b1\u03c4\u03bf\u03c0\u03c4\u03c1\u03af\u03b6\u03b5\u03b9 \u03c4\u03b7 \u03c3\u03c5\u03c7\u03bd\u03cc\u03c4\u03b7\u03c4\u03b1 \u03c0\u03b5\u03c1\u03b9\u03c3\u03c4\u03c1\u03bf\u03c6\u03ae\u03c2 \u03c4\u03bf\u03c5 \u03ac\u03be\u03bf\u03bd\u03b1 \u03b5\u03b9\u03c3\u03cc\u03b4\u03bf\u03c5 \u03c4\u03c9\u03bd 25 Hz \u03ba\u03b1\u03b9 \u03c4\u03b7 \u03c3\u03c5\u03c7\u03bd\u03cc\u03c4\u03b7\u03c4\u03b1 \u03c0\u03b5\u03c1\u03b9\u03c3\u03c4\u03c1\u03bf\u03c6\u03ae\u03c2 \u03b5\u03be\u03cc\u03b4\u03bf\u03c5 \u03c4\u03bf\u03c5 \u03ba\u03b9\u03bd\u03bf\u03cd\u03bc\u03b5\u03bd\u03bf\u03c5 \u03b3\u03c1\u03b1\u03bd\u03b1\u03b6\u03b9\u03bf\u03cd \u03c4\u03c9\u03bd 6,5 Hz. \u0391\u03c5\u03c4\u03cc \u03c5\u03c0\u03bf\u03b4\u03b5\u03b9\u03ba\u03bd\u03cd\u03b5\u03b9 \u03cc\u03c4\u03b9 \u03b7 \u03b4\u03b9\u03b1\u03ba\u03cd\u03bc\u03b1\u03bd\u03c3\u03b7 \u03b5\u03ba\u03ba\u03b5\u03bd\u03c4\u03c1\u03b9\u03ba\u03cc\u03c4\u03b7\u03c4\u03b1\u03c2 \u03c4\u03bf\u03c5 \u03b6\u03b5\u03cd\u03b3\u03bf\u03c5\u03c2 \u03b3\u03c1\u03b1\u03bd\u03b1\u03b6\u03b9\u03ce\u03bd \u03b5\u03b9\u03c3\u03cc\u03b4\u03bf\u03c5-\u03b2\u03b1\u03b8\u03bc\u03af\u03b4\u03b1\u03c2 \u03bc\u03c0\u03bf\u03c1\u03b5\u03af \u03bd\u03b1 \u03c3\u03c5\u03bd\u03b5\u03c7\u03af\u03c3\u03b5\u03b9 \u03bd\u03b1 \u03bc\u03b5\u03c4\u03b1\u03c6\u03ad\u03c1\u03b5\u03c4\u03b1\u03b9 \u03bc\u03ad\u03c3\u03c9 \u03c4\u03bf\u03c5 \u03c3\u03c5\u03c3\u03c4\u03ae\u03bc\u03b1\u03c4\u03bf\u03c2 \u03b3\u03c1\u03b1\u03bd\u03b1\u03b6\u03b9\u03ce\u03bd \u03ba\u03b1\u03b9 \u03bd\u03b1 \u03b1\u03ba\u03c4\u03b9\u03bd\u03bf\u03b2\u03bf\u03bb\u03b5\u03af \u03c0\u03c1\u03bf\u03c2 \u03c4\u03bf \u03b5\u03be\u03c9\u03c4\u03b5\u03c1\u03b9\u03ba\u03cc \u03c4\u03bf\u03c5 \u03ba\u03b9\u03b2\u03c9\u03c4\u03af\u03bf\u03c5 \u03c4\u03b1\u03c7\u03c5\u03c4\u03ae\u03c4\u03c9\u03bd.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"2-numerical-calculation-of-gear-excitation-in-overhead-crane-reducer-noise\">2 \u0391\u03c1\u03b9\u03b8\u03bc\u03b7\u03c4\u03b9\u03ba\u03cc\u03c2 \u03a5\u03c0\u03bf\u03bb\u03bf\u03b3\u03b9\u03c3\u03bc\u03cc\u03c2 \u03c4\u03b7\u03c2 \u0394\u03b9\u03ad\u03b3\u03b5\u03c1\u03c3\u03b7\u03c2 \u03c4\u03c9\u03bd \u0393\u03c1\u03b1\u03bd\u03b1\u03b6\u03b9\u03ce\u03bd \u03c3\u03c4\u03bf\u03bd \u0398\u03cc\u03c1\u03c5\u03b2\u03bf \u03c4\u03bf\u03c5 \u039c\u03b5\u03b9\u03c9\u03c4\u03ae \u0393\u03b5\u03c1\u03b1\u03bd\u03bf\u03b3\u03ad\u03c6\u03c5\u03c1\u03b1\u03c2<\/h2>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"2-1-vibration-differential-equation\">2.1 \u0394\u03b9\u03b1\u03c6\u03bf\u03c1\u03b9\u03ba\u03ae \u0395\u03be\u03af\u03c3\u03c9\u03c3\u03b7 \u0394\u03cc\u03bd\u03b7\u03c3\u03b7\u03c2<\/h3>\n\n\n\n<p>\u0397 \u03b4\u03b9\u03b1\u03c6\u03bf\u03c1\u03b9\u03ba\u03ae \u03b5\u03be\u03af\u03c3\u03c9\u03c3\u03b7 \u03ba\u03c1\u03b1\u03b4\u03b1\u03c3\u03bc\u03ce\u03bd \u03c4\u03bf\u03c5 \u03c3\u03c5\u03c3\u03c4\u03ae\u03bc\u03b1\u03c4\u03bf\u03c2 \u03b3\u03c1\u03b1\u03bd\u03b1\u03b6\u03b9\u03ce\u03bd \u03c3\u03b5 \u03ad\u03bd\u03b1\u03bd \u03bc\u03b5\u03b9\u03c9\u03c4\u03ae\u03c1\u03b1 \u03b3\u03b5\u03c1\u03b1\u03bd\u03bf\u03cd \u03b1\u03c0\u03bf\u03c4\u03b5\u03bb\u03b5\u03af \u03c3\u03b7\u03bc\u03b1\u03bd\u03c4\u03b9\u03ba\u03ae \u03b2\u03ac\u03c3\u03b7 \u03b3\u03b9\u03b1 \u03c4\u03b7 \u03bc\u03b5\u03bb\u03ad\u03c4\u03b7 \u03c4\u03c9\u03bd \u03b4\u03c5\u03bd\u03b1\u03bc\u03b9\u03ba\u03ce\u03bd \u03c7\u03b1\u03c1\u03b1\u03ba\u03c4\u03b7\u03c1\u03b9\u03c3\u03c4\u03b9\u03ba\u03ce\u03bd \u03c4\u03bf\u03c5. \u039c\u03b5\u03b9\u03ce\u03bd\u03bf\u03bd\u03c4\u03b1\u03c2 \u03c4\u03b7\u03bd \u03c4\u03ac\u03be\u03b7 \u03ba\u03b1\u03b9 \u03c5\u03c0\u03bf\u03bb\u03bf\u03b3\u03af\u03b6\u03bf\u03bd\u03c4\u03b1\u03c2 \u03c4\u03b7 \u03b4\u03c5\u03bd\u03b1\u03bc\u03b9\u03ba\u03ae \u03b4\u03cd\u03bd\u03b1\u03bc\u03b7 \u03b5\u03bc\u03c0\u03bb\u03bf\u03ba\u03ae\u03c2 \u03c4\u03bf\u03c5 \u03b3\u03c1\u03b1\u03bd\u03b1\u03b6\u03b9\u03bf\u03cd, \u03bc\u03c0\u03bf\u03c1\u03bf\u03cd\u03bd \u03bd\u03b1 \u03c0\u03c1\u03bf\u03c3\u03bf\u03bc\u03bf\u03b9\u03c9\u03b8\u03bf\u03cd\u03bd \u03b1\u03c1\u03b9\u03b8\u03bc\u03b7\u03c4\u03b9\u03ba\u03ac \u03c7\u03b1\u03c1\u03b1\u03ba\u03c4\u03b7\u03c1\u03b9\u03c3\u03c4\u03b9\u03ba\u03ac \u03ba\u03c1\u03b1\u03b4\u03b1\u03c3\u03bc\u03ce\u03bd, \u03cc\u03c0\u03c9\u03c2 \u03b7 \u03ad\u03bd\u03c4\u03b1\u03c3\u03b7 \u03c4\u03c9\u03bd \u03ba\u03c1\u03b1\u03b4\u03b1\u03c3\u03bc\u03ce\u03bd \u03ba\u03b1\u03b9 \u03bf \u03b4\u03bf\u03bc\u03b9\u03ba\u03cc\u03c2 \u03b8\u03cc\u03c1\u03c5\u03b2\u03bf\u03c2. \u0397 \u03b1\u03c0\u03b1\u03b9\u03c4\u03bf\u03cd\u03bc\u03b5\u03bd\u03b7 \u03b4\u03b9\u03b1\u03c6\u03bf\u03c1\u03b9\u03ba\u03ae \u03b5\u03be\u03af\u03c3\u03c9\u03c3\u03b7 \u03b4\u03b5\u03cd\u03c4\u03b5\u03c1\u03b7\u03c2 \u03c4\u03ac\u03be\u03b7\u03c2 \u03b5\u03af\u03bd\u03b1\u03b9:<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"965\" height=\"135\" src=\"https:\/\/www.hndfcrane.com\/wp-content\/uploads\/2026\/09\/Gear-System-Vibration-Differential-Equation-watermarked.png\" alt=\"\" class=\"wp-image-16005\"\/><\/figure>\n\n\n\n<p>\u0397 \u03c7\u03c1\u03bf\u03bd\u03b9\u03ba\u03ae \u03b5\u03be\u03af\u03c3\u03c9\u03c3\u03b7 \u03b4\u03c5\u03bd\u03b1\u03bc\u03b9\u03ba\u03ae\u03c2 \u03c3\u03c5\u03bd\u03c4\u03b5\u03c4\u03b1\u03b3\u03bc\u03ad\u03bd\u03b7\u03c2 <code>\u039c<\/code> \u03b1\u03bd\u03c4\u03b9\u03ba\u03b1\u03b8\u03af\u03c3\u03c4\u03b1\u03c4\u03b1\u03b9 \u03c3\u03b5 <code>\u03b8<\/code>, \u03ba\u03b1\u03b9 \u03b7 \u03b1\u03c1\u03c7\u03ae \u03c4\u03b7\u03c2 \u03bc\u03b5\u03af\u03c9\u03c3\u03b7\u03c2 \u03c4\u03ac\u03be\u03b7\u03c2 Runge-Kutta \u03c7\u03c1\u03b7\u03c3\u03b9\u03bc\u03bf\u03c0\u03bf\u03b9\u03b5\u03af\u03c4\u03b1\u03b9 \u03b3\u03b9\u03b1 \u03c4\u03b7\u03bd \u03b5\u03c0\u03af\u03bb\u03c5\u03c3\u03b7 \u03c4\u03b7\u03c2 \u03b4\u03c5\u03bd\u03b1\u03bc\u03b9\u03ba\u03ae\u03c2 \u03b4\u03cd\u03bd\u03b1\u03bc\u03b7\u03c2 \u03b5\u03bc\u03c0\u03bb\u03bf\u03ba\u03ae\u03c2 \u03c4\u03bf\u03c5 \u03b6\u03b5\u03cd\u03b3\u03bf\u03c5\u03c2 \u03b3\u03c1\u03b1\u03bd\u03b1\u03b6\u03b9\u03ce\u03bd \u03c5\u03c8\u03b7\u03bb\u03ae\u03c2 \u03c4\u03b1\u03c7\u03cd\u03c4\u03b7\u03c4\u03b1\u03c2. \u03a4\u03bf \u03a3\u03c7\u03ae\u03bc\u03b1 3 \u03b4\u03b5\u03af\u03c7\u03bd\u03b5\u03b9 \u03c4\u03b1 \u03b1\u03c0\u03bf\u03c4\u03b5\u03bb\u03ad\u03c3\u03bc\u03b1\u03c4\u03b1 \u03c5\u03c0\u03bf\u03bb\u03bf\u03b3\u03b9\u03c3\u03bc\u03bf\u03cd \u03c4\u03b7\u03c2 \u03b4\u03cd\u03bd\u03b1\u03bc\u03b7\u03c2 \u03b5\u03bc\u03c0\u03bb\u03bf\u03ba\u03ae\u03c2 \u03b3\u03b9\u03b1 \u03c4\u03bf \u03c3\u03c4\u03ac\u03b4\u03b9\u03bf \u03b5\u03b9\u03c3\u03cc\u03b4\u03bf\u03c5 \u03ba\u03b1\u03b9 \u03c4\u03bf \u03c4\u03b5\u03bb\u03b9\u03ba\u03cc \u03c3\u03c4\u03ac\u03b4\u03b9\u03bf \u03b5\u03be\u03cc\u03b4\u03bf\u03c5.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1022\" height=\"1538\" src=\"https:\/\/www.hndfcrane.com\/wp-content\/uploads\/2026\/09\/Frequency-domain-of-dynamic-meshing-force.png\" alt=\"\" class=\"wp-image-15978\" srcset=\"https:\/\/www.hndfcrane.com\/wp-content\/uploads\/2026\/09\/Frequency-domain-of-dynamic-meshing-force.png 1022w, https:\/\/www.hndfcrane.com\/wp-content\/uploads\/2026\/09\/Frequency-domain-of-dynamic-meshing-force-1021x1536.png 1021w\" sizes=\"(max-width: 1022px) 100vw, 1022px\" \/><figcaption class=\"wp-element-caption\">\u03a3\u03c7\u03ae\u03bc\u03b1 3 \u03a4\u03bf\u03bc\u03ad\u03b1\u03c2 \u03c3\u03c5\u03c7\u03bd\u03cc\u03c4\u03b7\u03c4\u03b1\u03c2 \u03b4\u03c5\u03bd\u03b1\u03bc\u03b9\u03ba\u03ae\u03c2 \u03b4\u03cd\u03bd\u03b1\u03bc\u03b7\u03c2 \u03b5\u03bc\u03c0\u03bb\u03bf\u03ba\u03ae\u03c2: (\u03b1) \u03c3\u03c4\u03ac\u03b4\u03b9\u03bf \u03b5\u03b9\u03c3\u03cc\u03b4\u03bf\u03c5\u00b7 (\u03b2) \u03c3\u03c4\u03ac\u03b4\u03b9\u03bf \u03b5\u03be\u03cc\u03b4\u03bf\u03c5<\/figcaption><\/figure>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"2-2-vibration-analysis-results\">2.2 \u0391\u03c0\u03bf\u03c4\u03b5\u03bb\u03ad\u03c3\u03bc\u03b1\u03c4\u03b1 \u0391\u03bd\u03ac\u03bb\u03c5\u03c3\u03b7\u03c2 \u039a\u03c1\u03b1\u03b4\u03b1\u03c3\u03bc\u03ce\u03bd<\/h3>\n\n\n\n<p>\u03a4\u03bf \u03a3\u03c7\u03ae\u03bc\u03b1 4 \u03b4\u03b5\u03af\u03c7\u03bd\u03b5\u03b9 \u03c4\u03b7 \u03b4\u03bf\u03bc\u03ae \u03c4\u03bf\u03c5 \u03bc\u03b5\u03b9\u03c9\u03c4\u03ae\u03c1\u03b1. \u039f\u03b9 \u03b8\u03ad\u03c3\u03b5\u03b9\u03c2 \u03ad\u03b4\u03c1\u03b1\u03c3\u03b7\u03c2 \u03c4\u03c9\u03bd \u03c1\u03bf\u03c5\u03bb\u03b5\u03bc\u03ac\u03bd \u03c3\u03c4\u03b1 \u03ac\u03ba\u03c1\u03b1 \u03b5\u03b9\u03c3\u03cc\u03b4\u03bf\u03c5 \u03ba\u03b1\u03b9 \u03b5\u03be\u03cc\u03b4\u03bf\u03c5 \u03b5\u03c0\u03b9\u03bb\u03ad\u03b3\u03bf\u03bd\u03c4\u03b1\u03b9 \u03b3\u03b9\u03b1 \u03c4\u03bf\u03bd \u03c5\u03c0\u03bf\u03bb\u03bf\u03b3\u03b9\u03c3\u03bc\u03cc \u03ba\u03b1\u03b9 \u03bb\u03b1\u03bc\u03b2\u03ac\u03bd\u03bf\u03bd\u03c4\u03b1\u03b9 \u03bf\u03b9 \u03c7\u03b1\u03c1\u03b1\u03ba\u03c4\u03b7\u03c1\u03b9\u03c3\u03c4\u03b9\u03ba\u03ad\u03c2 \u03ba\u03b1\u03bc\u03c0\u03cd\u03bb\u03b5\u03c2 \u03c4\u03b1\u03bb\u03ac\u03bd\u03c4\u03c9\u03c3\u03b7\u03c2 \u03c3\u03c4\u03bf \u03c0\u03b5\u03b4\u03af\u03bf \u03c3\u03c5\u03c7\u03bd\u03cc\u03c4\u03b7\u03c4\u03b1\u03c2 \u03b3\u03b9\u03b1 \u03c3\u03c6\u03ac\u03bb\u03bc\u03b1 \u03b5\u03ba\u03ba\u03b5\u03bd\u03c4\u03c1\u03cc\u03c4\u03b7\u03c4\u03b1\u03c2 20 \u03bcm.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"900\" height=\"600\" src=\"https:\/\/www.hndfcrane.com\/wp-content\/uploads\/2026\/09\/Structure-of-an-overhead-crane-reducer.jpg\" alt=\"\" class=\"wp-image-15976\"\/><figcaption class=\"wp-element-caption\">\u03a3\u03c7\u03ae\u03bc\u03b1 4 \u0394\u03bf\u03bc\u03ae \u03bc\u03b5\u03b9\u03c9\u03c4\u03ae\u03c1\u03b1 \u03b5\u03bd\u03b1\u03ad\u03c1\u03b9\u03b1\u03c2 \u03b3\u03b5\u03c1\u03b1\u03bd\u03bf\u03b3\u03ad\u03c6\u03c5\u03c1\u03b1\u03c2<\/figcaption><\/figure>\n\n\n\n<p>\u038c\u03c0\u03c9\u03c2 \u03c6\u03b1\u03af\u03bd\u03b5\u03c4\u03b1\u03b9 \u03c3\u03c4\u03bf \u03a3\u03c7\u03ae\u03bc\u03b1 5, \u03b1\u03c6\u03bf\u03cd \u03bb\u03b7\u03c6\u03b8\u03b5\u03af \u03c5\u03c0\u03cc\u03c8\u03b7 \u03c4\u03bf \u03c3\u03c6\u03ac\u03bb\u03bc\u03b1 \u03b5\u03ba\u03ba\u03b5\u03bd\u03c4\u03c1\u03cc\u03c4\u03b7\u03c4\u03b1\u03c2, \u03b7 \u03c3\u03c5\u03c7\u03bd\u03cc\u03c4\u03b7\u03c4\u03b1 \u03c0\u03b5\u03c1\u03b9\u03c3\u03c4\u03c1\u03bf\u03c6\u03ae\u03c2 \u03c4\u03bf\u03c5 \u03ac\u03be\u03bf\u03bd\u03b1 \u03b5\u03b9\u03c3\u03cc\u03b4\u03bf\u03c5 \u03c4\u03c9\u03bd 25 Hz \u03b5\u03c0\u03b7\u03c1\u03b5\u03ac\u03b6\u03b5\u03b9 \u03ac\u03bb\u03bb\u03b1 \u03b6\u03b5\u03cd\u03b3\u03b7 \u03b3\u03c1\u03b1\u03bd\u03b1\u03b6\u03b9\u03ce\u03bd \u03c3\u03b5 \u03b4\u03b9\u03b1\u03c6\u03bf\u03c1\u03b5\u03c4\u03b9\u03ba\u03ac \u03c3\u03c4\u03ac\u03b4\u03b9\u03b1, \u03b5\u03b9\u03b4\u03b9\u03ba\u03ac \u03c3\u03c4\u03b7\u03bd \u03ba\u03b1\u03bc\u03c0\u03cd\u03bb\u03b7 \u03bc\u03b5\u03c4\u03b1\u03c4\u03cc\u03c0\u03b9\u03c3\u03b7\u03c2. \u039f \u03c5\u03c0\u03bf\u03bb\u03bf\u03b3\u03b9\u03c3\u03bc\u03cc\u03c2 \u03c4\u03bf\u03c5 \u03b8\u03bf\u03c1\u03cd\u03b2\u03bf\u03c5 \u03bc\u03b5 \u03b2\u03ac\u03c3\u03b7 \u03c4\u03b1 \u03b1\u03c0\u03bf\u03c4\u03b5\u03bb\u03ad\u03c3\u03bc\u03b1\u03c4\u03b1 \u03c4\u03c9\u03bd \u03ba\u03c1\u03b1\u03b4\u03b1\u03c3\u03bc\u03ce\u03bd \u03bc\u03c0\u03bf\u03c1\u03b5\u03af \u03c3\u03c4\u03b7 \u03c3\u03c5\u03bd\u03ad\u03c7\u03b5\u03b9\u03b1 \u03bd\u03b1 \u03b4\u03b5\u03af\u03be\u03b5\u03b9 \u03c4\u03b7\u03bd \u03b5\u03c0\u03af\u03b4\u03c1\u03b1\u03c3\u03b7 \u03c4\u03bf\u03c5 \u03c3\u03c6\u03ac\u03bb\u03bc\u03b1\u03c4\u03bf\u03c2 \u03b5\u03ba\u03ba\u03b5\u03bd\u03c4\u03c1\u03cc\u03c4\u03b7\u03c4\u03b1\u03c2 \u03c3\u03c4\u03bf\u03bd \u03bc\u03b7 \u03c6\u03c5\u03c3\u03b9\u03bf\u03bb\u03bf\u03b3\u03b9\u03ba\u03cc \u03b8\u03cc\u03c1\u03c5\u03b2\u03bf \u03c4\u03bf\u03c5 \u03bc\u03b5\u03b9\u03c9\u03c4\u03ae\u03c1\u03b1.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1006\" height=\"1564\" src=\"https:\/\/www.hndfcrane.com\/wp-content\/uploads\/2026\/09\/Vibration-response-analysis-results.png\" alt=\"\" class=\"wp-image-15979\" srcset=\"https:\/\/www.hndfcrane.com\/wp-content\/uploads\/2026\/09\/Vibration-response-analysis-results.png 1006w, https:\/\/www.hndfcrane.com\/wp-content\/uploads\/2026\/09\/Vibration-response-analysis-results-988x1536.png 988w\" sizes=\"(max-width: 1006px) 100vw, 1006px\" \/><figcaption class=\"wp-element-caption\">\u03a3\u03c7\u03ae\u03bc\u03b1 5 \u0391\u03c0\u03bf\u03c4\u03b5\u03bb\u03ad\u03c3\u03bc\u03b1\u03c4\u03b1 \u03b1\u03bd\u03ac\u03bb\u03c5\u03c3\u03b7\u03c2 \u03b1\u03c0\u03cc\u03ba\u03c1\u03b9\u03c3\u03b7\u03c2 \u03c3\u03b5 \u03ba\u03c1\u03b1\u03b4\u03b1\u03c3\u03bc\u03bf\u03cd\u03c2: (\u03b1) \u03b5\u03c0\u03b9\u03c4\u03ac\u03c7\u03c5\u03bd\u03c3\u03b7\u00b7 (\u03b2) \u03bc\u03b5\u03c4\u03b1\u03c4\u03cc\u03c0\u03b9\u03c3\u03b7 \u03c3\u03b5 \u03ba\u03c1\u03b1\u03b4\u03b1\u03c3\u03bc\u03bf\u03cd\u03c2<\/figcaption><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"3-radiated-noise-prediction-for-bogie-axle-bridge\">3 \u03a0\u03c1\u03cc\u03b2\u03bb\u03b5\u03c8\u03b7 \u0391\u03ba\u03c4\u03b9\u03bd\u03bf\u03b2\u03bf\u03bb\u03bf\u03cd\u03bc\u03b5\u03bd\u03bf\u03c5 \u0398\u03bf\u03c1\u03cd\u03b2\u03bf\u03c5 \u03b3\u03b9\u03b1 \u0393\u03ad\u03c6\u03c5\u03c1\u03b1 \u0386\u03be\u03bf\u03bd\u03b1 \u03a6\u03bf\u03c1\u03b5\u03af\u03bf\u03c5<\/h2>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"3-1-acoustic-model\">3.1 \u0391\u03ba\u03bf\u03c5\u03c3\u03c4\u03b9\u03ba\u03cc \u03bc\u03bf\u03bd\u03c4\u03ad\u03bb\u03bf<\/h3>\n\n\n\n<p>\u03a3\u03cd\u03bc\u03c6\u03c9\u03bd\u03b1 \u03bc\u03b5 \u03c4\u03b9\u03c2 \u03b1\u03bd\u03b1\u03c6\u03b5\u03c1\u03cc\u03bc\u03b5\u03bd\u03b5\u03c2 \u03b1\u03bd\u03b1\u03c6\u03bf\u03c1\u03ad\u03c2, \u03b7 \u03b1\u03ba\u03bf\u03c5\u03c3\u03c4\u03b9\u03ba\u03ae \u03b1\u03bd\u03ae\u03ba\u03b5\u03b9 \u03c3\u03c4\u03bf\u03bd \u03c4\u03bf\u03bc\u03ad\u03b1 \u03c4\u03b7\u03c2 \u03ad\u03c1\u03b5\u03c5\u03bd\u03b1\u03c2 \u03c1\u03b5\u03c5\u03c3\u03c4\u03ce\u03bd. \u0395\u03c0\u03bf\u03bc\u03ad\u03bd\u03c9\u03c2, \u03b7 \u03b5\u03be\u03af\u03c3\u03c9\u03c3\u03b7 \u03b1\u03ba\u03bf\u03c5\u03c3\u03c4\u03b9\u03ba\u03bf\u03cd \u03ba\u03cd\u03bc\u03b1\u03c4\u03bf\u03c2 \u03bc\u03c0\u03bf\u03c1\u03b5\u03af \u03bd\u03b1 \u03bc\u03b5\u03bb\u03b5\u03c4\u03b7\u03b8\u03b5\u03af \u03b1\u03c0\u03cc \u03c4\u03b7\u03bd \u03b5\u03be\u03af\u03c3\u03c9\u03c3\u03b7 \u03c3\u03c5\u03bd\u03ad\u03c7\u03b5\u03b9\u03b1\u03c2 \u03c1\u03b5\u03c5\u03c3\u03c4\u03bf\u03cd. \u038c\u03c3\u03bf\u03bd \u03b1\u03c6\u03bf\u03c1\u03ac \u03c4\u03b7\u03bd \u03ba\u03b1\u03c4\u03ac\u03c3\u03c4\u03b1\u03c3\u03b7 \u03c4\u03bf\u03c5 \u03bc\u03ad\u03c3\u03bf\u03c5, \u03bc\u03c0\u03bf\u03c1\u03b5\u03af \u03bd\u03b1 \u03b5\u03ba\u03c6\u03c1\u03b1\u03c3\u03c4\u03b5\u03af \u03c9\u03c2:<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1224\" height=\"500\" src=\"https:\/\/www.hndfcrane.com\/wp-content\/uploads\/2026\/09\/Acoustic-Wave-Governing-Equations-watermarked.png\" alt=\"\" class=\"wp-image-16006\"\/><\/figure>\n\n\n\n<p>\u03a3\u03c4\u03bf\u03bd \u03c4\u03cd\u03c0\u03bf, <code>\u03c1<\/code>, <code>v<\/code>, <code>\u03c0<\/code>, \u03ba\u03b1\u03b9 <code>\u03bc\u03b9\u03ba\u03c1\u03cc<\/code> \u03b5\u03af\u03bd\u03b1\u03b9 \u03b7 \u03c0\u03c5\u03ba\u03bd\u03cc\u03c4\u03b7\u03c4\u03b1, \u03b7 \u03c4\u03b1\u03c7\u03cd\u03c4\u03b7\u03c4\u03b1, \u03b7 \u03b7\u03c7\u03b7\u03c4\u03b9\u03ba\u03ae \u03c0\u03af\u03b5\u03c3\u03b7 \u03ba\u03b1\u03b9 \u03b7 \u03b5\u03bd\u03c4\u03c1\u03bf\u03c0\u03af\u03b1 \u03c4\u03bf\u03c5 \u03b1\u03ad\u03c1\u03b1, \u03b5\u03bd\u03ce <code>\u03c6\u03ac<\/code> \u03ba\u03b1\u03b9 <code>q<\/code> \u03b5\u03af\u03bd\u03b1\u03b9 \u03b5\u03be\u03c9\u03c4\u03b5\u03c1\u03b9\u03ba\u03ad\u03c2 \u03c0\u03b7\u03b3\u03ad\u03c2 \u03b4\u03b9\u03ad\u03b3\u03b5\u03c1\u03c3\u03b7\u03c2 \u03c4\u03bf\u03c5 \u03b1\u03ad\u03c1\u03b1.<\/p>\n\n\n\n<p>\u039c\u03b5 \u03b2\u03ac\u03c3\u03b7 \u03c4\u03b7\u03bd \u03b1\u03c0\u03cc\u03ba\u03c1\u03b9\u03c3\u03b7 \u03ba\u03c1\u03b1\u03b4\u03b1\u03c3\u03bc\u03ce\u03bd \u03c4\u03bf\u03c5 \u03bc\u03b5\u03b9\u03c9\u03c4\u03ae\u03c1\u03b1 \u03b3\u03b5\u03c1\u03b1\u03bd\u03bf\u03cd, \u03c4\u03bf \u03b1\u03c0\u03bf\u03c4\u03ad\u03bb\u03b5\u03c3\u03bc\u03b1 \u03c5\u03c0\u03bf\u03bb\u03bf\u03b3\u03b9\u03c3\u03bc\u03bf\u03cd \u03b5\u03c0\u03b9\u03c4\u03ac\u03c7\u03c5\u03bd\u03c3\u03b7\u03c2 \u03c5\u03c0\u03bf\u03b2\u03ac\u03bb\u03bb\u03b5\u03c4\u03b1\u03b9 \u03c3\u03b5 \u03b5\u03c0\u03b5\u03be\u03b5\u03c1\u03b3\u03b1\u03c3\u03af\u03b1 \u03bc\u03b5 \u03bc\u03b5\u03c4\u03b1\u03c3\u03c7\u03b7\u03bc\u03b1\u03c4\u03b9\u03c3\u03bc\u03cc Fourier \u03ba\u03b1\u03b9 \u03b5\u03c0\u03b5\u03be\u03b5\u03c1\u03b3\u03b1\u03c3\u03af\u03b1 \u03b5\u03bd\u03cc\u03c2 \u03c4\u03c1\u03af\u03c4\u03bf\u03c5 \u03bf\u03ba\u03c4\u03ac\u03b2\u03b1\u03c2. \u03a4\u03bf \u03b1\u03c0\u03bf\u03c4\u03ad\u03bb\u03b5\u03c3\u03bc\u03b1 \u03c5\u03c0\u03bf\u03bb\u03bf\u03b3\u03b9\u03c3\u03bc\u03bf\u03cd \u03b4\u03bf\u03bc\u03b9\u03ba\u03bf\u03cd \u03b8\u03bf\u03c1\u03cd\u03b2\u03bf\u03c5 \u03c4\u03b7\u03c2 \u03ad\u03b4\u03c1\u03b1\u03c2 \u03b5\u03b4\u03c1\u03ac\u03bd\u03bf\u03c5 \u03c5\u03c8\u03b7\u03bb\u03ae\u03c2 \u03c4\u03b1\u03c7\u03cd\u03c4\u03b7\u03c4\u03b1\u03c2 \u03c4\u03bf\u03c5 \u03bc\u03b5\u03b9\u03c9\u03c4\u03ae\u03c1\u03b1 \u03c6\u03b1\u03af\u03bd\u03b5\u03c4\u03b1\u03b9 \u03c3\u03c4\u03bf \u03a3\u03c7\u03ae\u03bc\u03b1 6.<\/p>\n\n\n\n<p>\u038c\u03c4\u03b1\u03bd \u03bb\u03b1\u03bc\u03b2\u03ac\u03bd\u03b5\u03c4\u03b1\u03b9 \u03c5\u03c0\u03cc\u03c8\u03b7 \u03c4\u03bf \u03c3\u03c6\u03ac\u03bb\u03bc\u03b1 \u03b5\u03ba\u03ba\u03b5\u03bd\u03c4\u03c1\u03cc\u03c4\u03b7\u03c4\u03b1\u03c2, \u03bf \u03b4\u03bf\u03bc\u03b9\u03ba\u03cc\u03c2 \u03b8\u03cc\u03c1\u03c5\u03b2\u03bf\u03c2 \u03c4\u03bf\u03c5 \u03bc\u03b5\u03b9\u03c9\u03c4\u03ae\u03c1\u03b1 \u03b1\u03c5\u03be\u03ac\u03bd\u03b5\u03c4\u03b1\u03b9 \u03c0\u03b9\u03bf \u03ba\u03b1\u03b8\u03b1\u03c1\u03ac \u03c3\u03c4\u03b7\u03bd \u03c0\u03b5\u03c1\u03b9\u03bf\u03c7\u03ae \u03c7\u03b1\u03bc\u03b7\u03bb\u03ce\u03bd \u03c3\u03c5\u03c7\u03bd\u03bf\u03c4\u03ae\u03c4\u03c9\u03bd 0-100 Hz. \u03a3\u03cd\u03bc\u03c6\u03c9\u03bd\u03b1 \u03bc\u03b5 \u03c4\u03b7\u03bd \u03b1\u03ba\u03bf\u03c5\u03c3\u03c4\u03b9\u03ba\u03ae \u03b8\u03b5\u03c9\u03c1\u03af\u03b1, \u03bc\u03b9\u03b1 \u03b4\u03b9\u03b1\u03c6\u03bf\u03c1\u03ac 6 dB \u03b1\u03bd\u03c4\u03b9\u03c0\u03c1\u03bf\u03c3\u03c9\u03c0\u03b5\u03cd\u03b5\u03b9 \u03bc\u03b9\u03b1 \u03b5\u03c6\u03ac\u03c0\u03b1\u03be \u03b4\u03b9\u03b1\u03c6\u03bf\u03c1\u03ac \u03c3\u03c4\u03bf \u03b5\u03c0\u03af\u03c0\u03b5\u03b4\u03bf \u03b5\u03bd\u03ad\u03c1\u03b3\u03b5\u03b9\u03b1\u03c2. \u03a3\u03c4\u03bf \u03a3\u03c7\u03ae\u03bc\u03b1 6, \u03b7 \u03b4\u03b9\u03b1\u03c6\u03bf\u03c1\u03ac \u03b8\u03bf\u03c1\u03cd\u03b2\u03bf\u03c5 \u03c3\u03b5 \u03bf\u03c1\u03b9\u03c3\u03bc\u03ad\u03bd\u03b5\u03c2 \u03b6\u03ce\u03bd\u03b5\u03c2 \u03c3\u03c5\u03c7\u03bd\u03bf\u03c4\u03ae\u03c4\u03c9\u03bd \u03c6\u03c4\u03ac\u03bd\u03b5\u03b9 \u03c0\u03b5\u03c1\u03af\u03c0\u03bf\u03c5 \u03c4\u03b9\u03c2 \u03c4\u03c1\u03b5\u03b9\u03c2 \u03c6\u03bf\u03c1\u03ad\u03c2, \u03b4\u03b5\u03af\u03c7\u03bd\u03bf\u03bd\u03c4\u03b1\u03c2 \u03cc\u03c4\u03b9 \u03c4\u03bf \u03c3\u03c6\u03ac\u03bb\u03bc\u03b1 \u03b5\u03ba\u03ba\u03b5\u03bd\u03c4\u03c1\u03cc\u03c4\u03b7\u03c4\u03b1\u03c2 \u03ad\u03c7\u03b5\u03b9 \u03c3\u03b7\u03bc\u03b1\u03bd\u03c4\u03b9\u03ba\u03ae \u03b5\u03c0\u03af\u03b4\u03c1\u03b1\u03c3\u03b7 \u03c3\u03c4\u03b9\u03c2 \u03b4\u03bf\u03bd\u03ae\u03c3\u03b5\u03b9\u03c2 \u03c7\u03b1\u03bc\u03b7\u03bb\u03ce\u03bd \u03c3\u03c5\u03c7\u03bd\u03bf\u03c4\u03ae\u03c4\u03c9\u03bd \u03c4\u03bf\u03c5 \u03bc\u03b5\u03b9\u03c9\u03c4\u03ae\u03c1\u03b1. \u03a3\u03b1\u03c6\u03b5\u03af\u03c2 \u03ba\u03bf\u03c1\u03c5\u03c6\u03ad\u03c2 \u03b5\u03bc\u03c6\u03b1\u03bd\u03af\u03b6\u03bf\u03bd\u03c4\u03b1\u03b9 \u03b5\u03c0\u03af\u03c3\u03b7\u03c2 \u03c3\u03c4\u03b1 500 Hz \u03ba\u03b1\u03b9 1.000 Hz, \u03bf\u03b9 \u03bf\u03c0\u03bf\u03af\u03b5\u03c2 \u03c0\u03c1\u03bf\u03ba\u03b1\u03bb\u03bf\u03cd\u03bd\u03c4\u03b1\u03b9 \u03b1\u03c0\u03cc \u03c4\u03b7 \u03c3\u03c5\u03c7\u03bd\u03cc\u03c4\u03b7\u03c4\u03b1 \u03b5\u03bc\u03c0\u03bb\u03bf\u03ba\u03ae\u03c2 \u03c4\u03c9\u03bd \u03b3\u03c1\u03b1\u03bd\u03b1\u03b6\u03b9\u03ce\u03bd \u03c4\u03bf\u03c5 \u03c3\u03c4\u03b1\u03b4\u03af\u03bf\u03c5 \u03b5\u03b9\u03c3\u03cc\u03b4\u03bf\u03c5.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1588\" height=\"990\" src=\"https:\/\/www.hndfcrane.com\/wp-content\/uploads\/2026\/09\/Structural-noise-of-the-reducer.png\" alt=\"\" class=\"wp-image-15980\" srcset=\"https:\/\/www.hndfcrane.com\/wp-content\/uploads\/2026\/09\/Structural-noise-of-the-reducer.png 1588w, https:\/\/www.hndfcrane.com\/wp-content\/uploads\/2026\/09\/Structural-noise-of-the-reducer-1536x958.png 1536w\" sizes=\"(max-width: 1588px) 100vw, 1588px\" \/><figcaption class=\"wp-element-caption\">\u03a3\u03c7\u03ae\u03bc\u03b1 6 \u0394\u03bf\u03bc\u03b9\u03ba\u03cc\u03c2 \u03b8\u03cc\u03c1\u03c5\u03b2\u03bf\u03c2 \u03c4\u03bf\u03c5 \u03bc\u03b5\u03b9\u03c9\u03c4\u03ae\u03c1\u03b1<\/figcaption><\/figure>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"3-2-measures-to-reduce-abnormal-noise\">3.2 \u039c\u03ad\u03c4\u03c1\u03b1 \u03b3\u03b9\u03b1 \u03c4\u03b7 \u03bc\u03b5\u03af\u03c9\u03c3\u03b7 \u03c4\u03bf\u03c5 \u03b1\u03c3\u03c5\u03bd\u03ae\u03b8\u03b9\u03c3\u03c4\u03bf\u03c5 \u03b8\u03bf\u03c1\u03cd\u03b2\u03bf\u03c5<\/h3>\n\n\n\n<p>\u0397 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\u03c7\u03b1\u03bc\u03b7\u03bb\u03ad\u03c2, \u03c3\u03c5\u03bd\u03ae\u03b8\u03c9\u03c2 \u03c3\u03c4\u03b7\u03bd \u03c0\u03b5\u03c1\u03b9\u03bf\u03c7\u03ae \u03c4\u03c9\u03bd 50-500 Hz, \u03ba\u03b1\u03b9 \u03bc\u03c0\u03bf\u03c1\u03bf\u03cd\u03bd \u03b5\u03cd\u03ba\u03bf\u03bb\u03b1 \u03bd\u03b1 \u03b5\u03c0\u03b9\u03ba\u03b1\u03bb\u03c5\u03c6\u03b8\u03bf\u03cd\u03bd \u03bc\u03b5 \u03c4\u03b7 \u03c3\u03c5\u03c7\u03bd\u03cc\u03c4\u03b7\u03c4\u03b1 \u03c0\u03b5\u03c1\u03b9\u03c3\u03c4\u03c1\u03bf\u03c6\u03ae\u03c2 \u03c4\u03bf\u03c5 \u03ba\u03b9\u03bd\u03b7\u03c4\u03ae\u03c1\u03b9\u03bf\u03c5 \u03bc\u03b7\u03c7\u03b1\u03bd\u03b9\u03c3\u03bc\u03bf\u03cd \u03ba\u03b1\u03b9 \u03c4\u03b9\u03c2 \u03b1\u03c1\u03bc\u03bf\u03bd\u03b9\u03ba\u03ad\u03c2 \u03c4\u03bf\u03c5, \u03c0\u03c1\u03bf\u03ba\u03b1\u03bb\u03ce\u03bd\u03c4\u03b1\u03c2 \u03c3\u03c5\u03bd\u03c4\u03bf\u03bd\u03b9\u03c3\u03bc\u03cc. \u039c\u03b5 \u03b2\u03ac\u03c3\u03b7 \u03c4\u03b7 \u03b4\u03bf\u03bc\u03ae \u03c4\u03bf\u03c5 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\u03b1\u03c0\u03bf\u03c4\u03b5\u03bb\u03b5\u03c3\u03bc\u03b1\u03c4\u03b9\u03ba\u03ac \u03c4\u03bf\u03bd \u03b1\u03bd\u03ce\u03bc\u03b1\u03bb\u03bf \u03b8\u03cc\u03c1\u03c5\u03b2\u03bf \u03c0\u03bf\u03c5 \u03c0\u03c1\u03bf\u03ba\u03b1\u03bb\u03b5\u03af\u03c4\u03b1\u03b9 \u03b1\u03c0\u03cc \u03c3\u03c6\u03ac\u03bb\u03bc\u03b1 \u03b5\u03ba\u03ba\u03b5\u03bd\u03c4\u03c1\u03cc\u03c4\u03b7\u03c4\u03b1\u03c2.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"4-conclusion\">4 \u03a3\u03c5\u03bc\u03c0\u03ad\u03c1\u03b1\u03c3\u03bc\u03b1<\/h2>\n\n\n\n<p>\u0391\u03c5\u03c4\u03cc \u03c4\u03bf \u03ac\u03c1\u03b8\u03c1\u03bf \u03bb\u03b1\u03bc\u03b2\u03ac\u03bd\u03b5\u03b9 \u03c9\u03c2 \u03b5\u03c1\u03b5\u03c5\u03bd\u03b7\u03c4\u03b9\u03ba\u03cc \u03b1\u03bd\u03c4\u03b9\u03ba\u03b5\u03af\u03bc\u03b5\u03bd\u03bf \u03bc\u03b9\u03b1 \u03b3\u03b5\u03c1\u03b1\u03bd\u03bf\u03b3\u03ad\u03c6\u03c5\u03c1\u03b1 \u03ba\u03b1\u03b9 \u03c4\u03bf\u03bd \u03bc\u03b5\u03b9\u03c9\u03c4\u03ae\u03c1\u03b1 \u03c4\u03b7\u03c2 \u03ba\u03b1\u03b9 \u03b1\u03bd\u03b1\u03bb\u03cd\u03b5\u03b9 \u03c4\u03b7\u03bd \u03b5\u03c0\u03af\u03b4\u03c1\u03b1\u03c3\u03b7 \u03c4\u03bf\u03c5 \u03c3\u03c6\u03ac\u03bb\u03bc\u03b1\u03c4\u03bf\u03c2 \u03b5\u03ba\u03ba\u03b5\u03bd\u03c4\u03c1\u03cc\u03c4\u03b7\u03c4\u03b1\u03c2 \u03c4\u03bf\u03c5 \u03b6\u03b5\u03cd\u03b3\u03bf\u03c5\u03c2 \u03b3\u03c1\u03b1\u03bd\u03b1\u03b6\u03b9\u03ce\u03bd \u03c3\u03c4\u03bf\u03bd \u03bc\u03b7 \u03c6\u03c5\u03c3\u03b9\u03bf\u03bb\u03bf\u03b3\u03b9\u03ba\u03cc \u03b8\u03cc\u03c1\u03c5\u03b2\u03bf \u03c4\u03bf\u03c5 \u03bc\u03b5\u03b9\u03c9\u03c4\u03ae\u03c1\u03b1. \u03a4\u03b1 \u03c3\u03c5\u03bc\u03c0\u03b5\u03c1\u03ac\u03c3\u03bc\u03b1\u03c4\u03b1 \u03b5\u03af\u03bd\u03b1\u03b9 \u03c4\u03b1 \u03b5\u03be\u03ae\u03c2:<\/p>\n\n\n\n<p>1. \u038c\u03c4\u03b1\u03bd \u03bb\u03b1\u03bc\u03b2\u03ac\u03bd\u03b5\u03c4\u03b1\u03b9 \u03c5\u03c0\u03cc\u03c8\u03b7 \u03c4\u03bf \u03c3\u03c6\u03ac\u03bb\u03bc\u03b1 \u03b5\u03ba\u03ba\u03b5\u03bd\u03c4\u03c1\u03cc\u03c4\u03b7\u03c4\u03b1\u03c2, \u03b7 \u03b3\u03c9\u03bd\u03b9\u03b1\u03ba\u03ae \u03c4\u03b1\u03c7\u03cd\u03c4\u03b7\u03c4\u03b1 \u03c4\u03bf\u03c5 \u03ba\u03b9\u03bd\u03bf\u03cd\u03bc\u03b5\u03bd\u03bf\u03c5 \u03b3\u03c1\u03b1\u03bd\u03b1\u03b6\u03b9\u03bf\u03cd \u03c0\u03b1\u03c1\u03bf\u03c5\u03c3\u03b9\u03ac\u03b6\u03b5\u03b9 \u03ba\u03b1\u03bd\u03bf\u03bd\u03b9\u03ba\u03ae \u03b4\u03b9\u03b1\u03ba\u03cd\u03bc\u03b1\u03bd\u03c3\u03b7. \u03a4\u03bf \u03b5\u03cd\u03c1\u03bf\u03c2 \u03b4\u03b9\u03b1\u03ba\u03cd\u03bc\u03b1\u03bd\u03c3\u03b7\u03c2 \u03c3\u03c5\u03b3\u03ba\u03b5\u03bd\u03c4\u03c1\u03ce\u03bd\u03b5\u03c4\u03b1\u03b9 \u03bc\u03b5\u03c4\u03b1\u03be\u03cd 40,5-41,5 rad\/s. \u0391\u03bd\u03c4\u03b1\u03bd\u03b1\u03ba\u03bb\u03ac \u03c4\u03b7 \u03c3\u03c5\u03c7\u03bd\u03cc\u03c4\u03b7\u03c4\u03b1 \u03c0\u03b5\u03c1\u03b9\u03c3\u03c4\u03c1\u03bf\u03c6\u03ae\u03c2 \u03c4\u03bf\u03c5 \u03ac\u03be\u03bf\u03bd\u03b1 \u03b5\u03b9\u03c3\u03cc\u03b4\u03bf\u03c5 \u03c4\u03c9\u03bd 25 Hz \u03ba\u03b1\u03b9 \u03c4\u03b7 \u03c3\u03c5\u03c7\u03bd\u03cc\u03c4\u03b7\u03c4\u03b1 \u03c0\u03b5\u03c1\u03b9\u03c3\u03c4\u03c1\u03bf\u03c6\u03ae\u03c2 \u03b5\u03be\u03cc\u03b4\u03bf\u03c5 \u03c4\u03bf\u03c5 \u03ba\u03b9\u03bd\u03bf\u03cd\u03bc\u03b5\u03bd\u03bf\u03c5 \u03b3\u03c1\u03b1\u03bd\u03b1\u03b6\u03b9\u03bf\u03cd \u03c4\u03c9\u03bd 6,5 Hz \u03ba\u03b1\u03b9 \u03c3\u03c5\u03bd\u03b5\u03c7\u03af\u03b6\u03b5\u03b9 \u03bd\u03b1 \u03b5\u03c0\u03b7\u03c1\u03b5\u03ac\u03b6\u03b5\u03b9 \u03c4\u03b7\u03bd \u03b5\u03c0\u03cc\u03bc\u03b5\u03bd\u03b7 \u03bc\u03b5\u03c4\u03ac\u03b4\u03bf\u03c3\u03b7 \u03c4\u03bf\u03c5 \u03b6\u03b5\u03cd\u03b3\u03bf\u03c5\u03c2 \u03b3\u03c1\u03b1\u03bd\u03b1\u03b6\u03b9\u03ce\u03bd.<\/p>\n\n\n\n<p>2. \u03a5\u03c0\u03cc \u03c3\u03c6\u03ac\u03bb\u03bc\u03b1 \u03b5\u03ba\u03ba\u03b5\u03bd\u03c4\u03c1\u03cc\u03c4\u03b7\u03c4\u03b1\u03c2, \u03bf \u03b4\u03bf\u03bc\u03b9\u03ba\u03cc\u03c2 \u03b8\u03cc\u03c1\u03c5\u03b2\u03bf\u03c2 \u03c4\u03bf\u03c5 \u03bc\u03b5\u03b9\u03c9\u03c4\u03ae\u03c1\u03b1 \u03b1\u03c5\u03be\u03ac\u03bd\u03b5\u03c4\u03b1\u03b9 \u03c0\u03b9\u03bf \u03ad\u03bd\u03c4\u03bf\u03bd\u03b1 \u03c3\u03c4\u03b7\u03bd \u03c0\u03b5\u03c1\u03b9\u03bf\u03c7\u03ae \u03c7\u03b1\u03bc\u03b7\u03bb\u03ce\u03bd \u03c3\u03c5\u03c7\u03bd\u03bf\u03c4\u03ae\u03c4\u03c9\u03bd 0-100 Hz. \u0397 \u03bc\u03ad\u03b3\u03b9\u03c3\u03c4\u03b7 \u03b4\u03b9\u03b1\u03c6\u03bf\u03c1\u03ac \u03c6\u03c4\u03ac\u03bd\u03b5\u03b9 \u03c4\u03b1 15 dB \u03ba\u03b1\u03b9 \u03b7 \u03c3\u03c4\u03ac\u03b8\u03bc\u03b7 \u03b8\u03bf\u03c1\u03cd\u03b2\u03bf\u03c5 \u03b1\u03c5\u03be\u03ac\u03bd\u03b5\u03c4\u03b1\u03b9 \u03ba\u03b1\u03c4\u03ac 2,5 \u03c6\u03bf\u03c1\u03ad\u03c2, \u03b5\u03bd\u03c4\u03b5\u03af\u03bd\u03bf\u03bd\u03c4\u03b1\u03c2 \u03c3\u03b1\u03c6\u03ce\u03c2 \u03c4\u03bf\u03bd \u03b1\u03bd\u03ce\u03bc\u03b1\u03bb\u03bf \u03b8\u03cc\u03c1\u03c5\u03b2\u03bf \u03c4\u03bf\u03c5 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\u03b4\u03bf\u03bc\u03ae\u03c2.<\/p>","protected":false},"excerpt":{"rendered":"\u039f \u03b8\u03cc\u03c1\u03c5\u03b2\u03bf\u03c2 \u03c4\u03bf\u03c5 \u03bc\u03b5\u03b9\u03c9\u03c4\u03ae\u03c1\u03b1 \u03b5\u03bd\u03b1\u03ad\u03c1\u03b9\u03b1\u03c2 \u03b3\u03b5\u03c1\u03b1\u03bd\u03bf\u03b3\u03ad\u03c6\u03c5\u03c1\u03b1\u03c2 \u03b5\u03bd\u03b4\u03ad\u03c7\u03b5\u03c4\u03b1\u03b9 \u03bd\u03b1 \u03c0\u03c1\u03bf\u03ba\u03bb\u03b7\u03b8\u03b5\u03af \u03ba\u03b1\u03c4\u03ac \u03c4\u03b7\u03bd \u03b1\u03bd\u03cd\u03c8\u03c9\u03c3\u03b7 \u03ba\u03b1\u03b9 \u03c4\u03b7 \u03b4\u03b9\u03b1\u03c7\u03b5\u03af\u03c1\u03b9\u03c3\u03b7 \u03c5\u03bb\u03b9\u03ba\u03ce\u03bd \u03c3\u03b5 \u03b5\u03c1\u03b3\u03b1\u03c3\u03c4\u03ae\u03c1\u03b9\u03b1, \u03b5\u03c0\u03b7\u03c1\u03b5\u03ac\u03b6\u03bf\u03bd\u03c4\u03b1\u03c2 \u03c4\u03b7\u03bd \u03ba\u03b1\u03bd\u03bf\u03bd\u03b9\u03ba\u03ae \u03bb\u03b5\u03b9\u03c4\u03bf\u03c5\u03c1\u03b3\u03af\u03b1 \u03c4\u03bf\u03c5 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