Direct Integration Methods With Integral Model for Dynamic Systems

LÜ He-xiang; YU Hong-jie; QIU Chun-hang

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Article Navigation > Applied Mathematics and Mechanics > 2001 > 22(2): 151-156

LÜ He-xiang, YU Hong-jie, QIU Chun-hang. Direct Integration Methods With Integral Model for Dynamic Systems[J]. Applied Mathematics and Mechanics, 2001, 22(2): 151-156.

Citation:

LÜ He-xiang, YU Hong-jie, QIU Chun-hang. Direct Integration Methods With Integral Model for Dynamic Systems[J]. Applied Mathematics and Mechanics, 2001, 22(2): 151-156.

Citation:

LÜ He-xiang, YU Hong-jie, QIU Chun-hang. Direct Integration Methods With Integral Model for Dynamic Systems[J]. Applied Mathematics and Mechanics, 2001, 22(2): 151-156.

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Direct Integration Methods With Integral Model for Dynamic Systems

Department of Engineering Mechanics, Dalian University of Technology, Dalian 116023, P. R. China

Received Date: 2000-01-07
Rev Recd Date: 2000-08-02
Publish Date: 2001-02-15

Abstract

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.
- numerical integration,
- step-by-step integration,
- non-linear,
- integral equation

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References(8)

References

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