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A new algorithm for solving differential/algebraic equations of multibody system dynamics

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Abstract

The second order Euler-Lagrange equations are transformed to a set of first order differentiallalgebraic equations, which are then transformed to state equations by using local parameierization. The corresponding discretization method is presented, and the results can be used to implementation of various numerical integration methods. A numerical example is presented finally.

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Communicated by Cheng Gengdong

Project supported by Natural Science Foundation of China and Shangdong Province

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Yibing, W., Weijia, Z. & Zhenkuan, P. A new algorithm for solving differential/algebraic equations of multibody system dynamics. Appl Math Mech 18, 905–912 (1997). https://doi.org/10.1007/BF00133349

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  • DOI: https://doi.org/10.1007/BF00133349

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