Solving Method for Dynamic Equations of Mechanical Multibody
 System by Using Bathe Integration Algorithm

doi:10.16183/j.cnki.jsjtu.2019.018

Abstract

Abstract: Accurate and efficient solving algorithms have always been the key issue in the field of multibody system dynamics. Solving dynamic equations of mechanical multibody system by using Bathe integration algorithm was investigated. The dynamic equations of multibody system were arranged into a general form containing the explicitly generalized damping matrix. Based on Bathe integration algorithm, the solution process according to the form of dynamic equations was derived, and the generalized damping matrix was used in obtaining the initial value of Jacobian matrix during iterative calculation which reduces the number of iterations. In order to reduce the influence of constraint violation, the Baumgarte constraint stabilization items were added to the dynamic equations. The numerical examples show that solving the dynamic equations of multibody system by utilizing the Bathe integration algorithm has a high accuracy, a good stability, and a low numerical dissipation, and the dynamic equation form with an explicity generalized damping matrix obviously makes the solution more efficient.

Key words: Bathe integration algorithm; dynamic equations of mechanical multibody system; generalized damping matrix; Baumgarte constraint stabilization items

CLC Number:

O 313.7

JI Lei,QIAN Linfang,CHEN Guangsong,YIN Qiang. Solving Method for Dynamic Equations of Mechanical Multibody System by Using Bathe Integration Algorithm[J]. Journal of Shanghai Jiaotong University, 2020, 54(11): 1218-1226.

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[2]	SHI Wang, LIU Jin-Yang. Investigation on Rigid-Flexible Coupling Dynamics for Elasto-Plastic Beam with Large Deformation [J]. Journal of Shanghai Jiaotong University, 2011, 45(10): 1469-1474.

Solving Method for Dynamic Equations of Mechanical Multibody System by Using Bathe Integration Algorithm

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