A Study on Timing Belt Noise (Theoretical Analysis for Forced Transverse Vibration of Timing Belt With Parametric Excitation)

[+] Author and Article Information
K. Watanabe

Department of Mechanical Engineering, Yamagata University, Yonezawa, Japan

T. Koyama

Department of Mechanical Engineering, Osaka Institute of Technology, Osaka, Japan

K. Nagai

Department of Mechanical Engineering, College of Technology, Kiryu University, Gunma, Japan

M. Kagotani

Department of Mechanical Engineering, Osaka Sangyo University, Osaka, Japan

J. Mech. Des 112(3), 424-429 (Sep 01, 1990) (6 pages) doi:10.1115/1.2912625 History: Received November 01, 1989; Online June 02, 2008


A theoretical analysis is made for two kinds of noise reduction methods of timing belts. The methods are confirmed experimentally in a companion paper [1]. Modeling the traveling belt as a string with parametric excitation in tension and density, we obtain an approximate solution for the amplitude of the transverse vibration and carry out some numerical computations for the response of the belt. It is shown that the maximum amplitude of the transverse vibration at resonance is reduced by the two kinds of parametric excitation. The method of variable tension suppresses the maximum amplitude almost for all modes of vibration at resonance and that of the variable density is effective for higher modes except the first mode at resonance.

Copyright © 1990 by The American Society of Mechanical Engineers
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