青岛大学学报（自然科学版）2017，Vol.30Issue(4)：19-24,6.DOI:10.3969/j.issn.1006-1037.2017.11.05
多体系统动力学非线性常微分方程微分求积法
Differential Quadrature Method for Nonlinear Ordinary Differential Equations of Multibody System Dynamics
摘要
Abstract
Differential quadrature method (DQ) is developed for the nonlinear ordinary differential equations (ODE) of multibody system dynamics.The nonlinear equations with discrete state variables on the nodes of time domain is obtained by DQ method,and solved to get the discrete state variables at each node,which are the numerical solutions of the ODE satisfy the engineering application.As an example,the planar two-link system is used to verify the DQ method.Results show that the method has the advantages of simple principle,convenient use and high accuracy.It is an effective method to solve the nonlinear ODE of mutibody system dynamics.关键词
多体系统动力学/微分求积法/非线性/常微分方程Key words
multibody system dynamics/differential quadrature method/nonlinear/ordinary differential equation分类
信息技术与安全科学引用本文复制引用
董贺威,丁洁玉,潘坤,张冰冰..多体系统动力学非线性常微分方程微分求积法[J].青岛大学学报（自然科学版）,2017,30(4):19-24,6.基金项目
国家自然科学基金项目(批准号:11272166,11472143)资助. （批准号:11272166,11472143）
