Semi-analytical and numerical solutions of multi-degree-of-freedom nonlinear oscillation systems with linear coupling

被引：6

作者：

Department of Industrial Systems Engineering, Faculty of Engineering, University of Regina, 3737 Wascana Parkway, Regina, Sask. S4S 0A2, Canada ^{[1
]}

不详 ^{[2
]}

机构：

[1] Department of Industrial Systems Engineering, Faculty of Engineering, University of Regina, Regina, Sask. S4S 0A2

[2] Department of Mechanics, College of Traffic and Communications, South China University of Technology, Guangzhou

来源：

Comm. Nonlinear Sci. Numer. Simul. | 2006年 / 7卷 / 831-844期

基金：

加拿大创新基金会; 加拿大自然科学与工程研究理事会;

关键词：

Linear coupling systems; MDOF systems; Nonlinear oscillation; Numerical analysis; P-T method; Piecewise constant arguments;

D O I：

10.1016/j.cnsns.2004.12.009

中图分类号：

学科分类号：

摘要：

This research focuses on the development of an approach for solving multi-degree-of-freedom (MDOF) nonlinear oscillation problems with linear coupling. The original physical information included in the governing equations is mostly transferred into semi-analytical and numerical solutions. The semi-analytical solutions generated by the present approach are continuous everywhere and reflect more accurately the characteristics of the motion of the nonlinear dynamic systems. General procedures for three types of nonlinear oscillation problems are formulated in detail for allocation in nonlinear dynamic analysis. Two nonlinear oscillation systems with quadratic and cubic nonlinearities are solved to demonstrate the applications of the present approach. © 2005 Elsevier B.V. All rights reserved.

引用

页码：831 / 844

页数：13