Energy adjusting algorithm for the nonlinear dynamic equation with multi-degrees of freedom

被引：0

作者：

Li, Weidong ^{[1
]}

Lu, Hexiang ^{[1
]}

机构：

[1] State Key Laboratory of Structural Analysis of Industrial Equipment, Dalian University of Technology, Dalian 116024, China

来源：

Lixue Xuebao/Chinese Journal of Theoretical and Applied Mechanics | 2007年 / 39卷 / 03期

关键词：

Computer simulation - Damping - Integration - Mathematical transformations - Ordinary differential equations - Runge Kutta methods;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

An energy adjusting numerical algorithm for the nonlinear dynamic equation with multi-degree of freedom is proposed. First, by the Taylor's expansion and Duhamel integration, an integral iteration formula with an undetermined parameter is obtained. Second, the original dynamical equation is transformed into an energy adjusting equation to determine the undetermined parameter. Finally, substituting the parameter into the integral iteration formula, an accurate numerical value is obtained. Some examples show that the method can eliminate the algorithm damping and enjoys better stability than the Runge-Kutta method under a large integral step.

引用

页码：356 / 364