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Applied Mathematics and Mechanics (English Edition) ›› 2001, Vol. 22 ›› Issue (2): 173-179.

• 论文 • 上一篇    下一篇

DIRECT INTEGRATION METHODS WITH INTEGRAL MODEL FOR DYNAMIC SYSTEMS

吕和祥, 于洪洁, 裘春航   

  1. Department of Engineering Mechanics, Dalian University of Technology, Dalian 116023, P. R. China
  • 收稿日期:2000-01-07 修回日期:2000-08-12 出版日期:2001-02-18 发布日期:2001-02-18
  • 基金资助:
    the National Natural Science Foundation of China(19990510)

DIRECT INTEGRATION METHODS WITH INTEGRAL MODEL FOR DYNAMIC SYSTEMS

Lü He-xiang, YU Hong-jie, QIU Chun-hang   

  1. Department of Engineering Mechanics, Dalian University of Technology, Dalian 116023, P. R. China
  • Received:2000-01-07 Revised:2000-08-12 Online:2001-02-18 Published:2001-02-18
  • Supported by:
    the National Natural Science Foundation of China(19990510)

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摘要： 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 fourth-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 nonlinear and non-conservative system have higher accuracy than central difference,Houbolt,Newmark and Wilson-Theta methods.

关键词: numerical integration, step-by-step integration, nonlinear, integral equation

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 fourth-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 nonlinear and non-conservative system have higher accuracy than central difference,Houbolt,Newmark and Wilson-Theta methods.

Key words: numerical integration, step-by-step integration, nonlinear, integral equation

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