噪声与振动控制2011，Vol.31Issue(4)：68-72,5.DOI:10.3969/j.issn.1006-1355-2011.04.016
用改进傅里叶级数的方法研究轴系横向振动特性
Transverse Vibration Analysis of Shafting Based on an Improved Fourier Series Method
周海军 1吕秉琳 1杜敬涛 1李文龙 2李玩幽1
作者信息
- 1. 哈尔滨工程大学动力与能源工程学院,哈尔滨150001
- 2. 韦恩州立大学机械工程学院,底特律48202,美国
- 折叠
摘要
Abstract
In this paper, an improved Fourier series method (IFSM) is employed to determine the transverse free vibration of a multi-span non-uniform shafting system with arbitrary boundary conditions. At first, the differential equation for the transverse free vibration of a uniform beam with lumped masses is formulated. Then, the mass and stiffness matrices for the shafting are derived using the IFSM, and then all the eigenvalues and eigenvectors are readily obtained by solving a standard matrix eigenvalue equation. In this method, the displacement function is expanded as a single Fourier cosine series plus an auxiliary polynomial function. The auxiliary function is used to overcome the discontinuities of the resilient boundary. Numerical results are presented to validate the correct of the method. And the stiffness effect of connecting flange is described.关键词
振动与波/轴系/横振/改进傅里叶级数/辅助函数/弹性支撑边界Key words
vibration and wave / shafting / transverse vibration / improved Fourier series method / auxiliary function / resilient boundary分类
交通工程引用本文复制引用
周海军,吕秉琳,杜敬涛,李文龙,李玩幽..用改进傅里叶级数的方法研究轴系横向振动特性[J].噪声与振动控制,2011,31(4):68-72,5.
