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Differential–algebraic equations in multibody system modeling

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Abstract

Numerical methods for the efficient integration of both stiff and nonstiff equations of motion of multibody systems having the form of differential-algebraic equations (DAE) of index 3 are discussed. Linear multi-step ABM and BDF methods are considered for the non-iterational integration of nonstiff DAE. The Park method is proposed for integration of stiff equations.

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Authors and Affiliations

  1. Department of Applied Mechanics, Bryansk State Technical University, b. 50 let Oktyabrya 7, 241035, Bryansk, Russia

    D. Pogorelov

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  1. D. Pogorelov
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Pogorelov, D. Differential–algebraic equations in multibody system modeling. Numerical Algorithms 19, 183–194 (1998). https://doi.org/10.1023/A:1019131212618

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