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Analysis on the Nonlinear Vibration Characteristics of a Belt Driven System

벨트 구동계의 비선형 진동특성 해석 제목

  • 김성걸 (서울대학교 정밀기계설계연구소) ;
  • 이신영 (군산대학교 생산기계공학과) ;
  • Published : 1996.04.01

Abstract

In this paper, a mathematical model for a belt driven system is proposed to analyse the vibration characteristics of the driving units with belts and the free and forced vibraiton anlyses are carried out. The mathematical model for a belt-driven system includes belts, pulleys, spindle and bearings. By using Hamilton's principle, four nonlinear governing equations and twelve nonlinear boundary conditions are derived. To linearize and discretize the nonlinear governing equations and boundary conditions, the perturbation method and Galerkin method are used. Also, the free vibration analyses for various parameters of a belt driven system, which are the tension of a belt, the length of a belt, the material properties of belts, the velocity of a velt and the mass of pulley are made. The forced vibration analyses of the system are performed and the dynamic responses for main parameters are anlysed with a belt driven system.

Keywords

Belt Driven System;Free Vibration;Forced Vibration;Perturbation Method;Galerkin Method;Hamiltons Principle