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Direct Integration Methods with Integral Model for Dynamic Systems

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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.

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Authors
  1. He-xiang Lü
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  2. Hong-jie Yu
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  3. Chun-hang Qiu
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Lü, Hx., Yu, Hj. & Qiu, Ch. Direct Integration Methods with Integral Model for Dynamic Systems. Applied Mathematics and Mechanics 22, 173–179 (2001). https://doi.org/10.1023/A:1015532629854

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  • DOI: https://doi.org/10.1023/A:1015532629854

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