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动力学方程的积分型直接积分法

吕和祥 于洪洁 裘春航

应用数学和力学2001,Vol.22Issue(2):151-156,6.
应用数学和力学2001,Vol.22Issue(2):151-156,6.

动力学方程的积分型直接积分法

Direct Integration Methods With Integral Model for Dynamic Systems

吕和祥 1于洪洁 1裘春航1

作者信息

  • 1. 大连理工大学 工程力学系,
  • 折叠

摘要

Abstract

A new approach which is a direct integration method with integral model (DIM_IM) to solve dynamic governing equations is presented. The governing equations are integrated into the integral equations. An algorithm with explicit and predict_correct and self_starting and four order accuracy to integrate the integral equations is given. Theoretical analysis and numerical examples show that DIM_IM discribed in this paper suitable for strong non_linear and non_conservative system have higher accuracy than central difference,Houbolt,Newmark and Wilson_Theta methods.

关键词

数值积分/逐步积分/非线性/积分方程

分类

数理科学

引用本文复制引用

吕和祥,于洪洁,裘春航..动力学方程的积分型直接积分法[J].应用数学和力学,2001,22(2):151-156,6.

应用数学和力学

OA北大核心CSCD

1000-0887

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