噪声与振动控制2016，Vol.36Issue(3)：16-20,56,6.DOI:10.3969/j.issn.1006-1335.2016.03.004
时变长度轴向移动绳横向受迫振动数值分析
Numerical Analysis of Transversely Forced Vibration for an Axially Travelling String with Time-Varying Length
摘要
Abstract
The physical models of an axially travelling string system with time-varying length under the action of moving concentrated load and moving distributed load are established. Two kinds of moving forced string models are considered with different means. The nonlinear transversely forced vibration equations with time varying parameters of the string under different conditions are derived using the extended Hamilton’s principle and Leibniz’s rule, and discretized using different order Galerkin method into a series of ordinary differential equations. The modified 4th-order Runge-Kutta method is employed to solve the nonlinear transverse vibration equations by means of Matlab code. The numerical results also obtained by the Newmark-β method based on finite element analysis. The effects of parameters changing with the moving loads are also simulated. The results demonstrate the correctness of the proposed physical and mathematical models and the effectiveness of the solutiion methods with time varying parameters. It also indicates that the proper choosing of Galerkin truncation order can achieve better convergence and calculation accuracy in different situations.关键词
振动与波/时变长度移动绳/Galerkin法/Newmark-β法/移动载荷/横向受迫振动Key words
vibration and wave/travelling string with time-varying length/Galerkin method/Newmark-β method/moving force/transversely forced vibration分类
通用工业技术引用本文复制引用
杨历,陈恩伟,吝辉辉,刘正士..时变长度轴向移动绳横向受迫振动数值分析[J].噪声与振动控制,2016,36(3):16-20,56,6.基金项目
国家自然科学基金资助项目 （）
