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Journal Articles Applied Mathematics and Mechanics Year : 2022

Nonsmooth dynamic analysis of rigid-flexible interaction collision

Abstract

This paper aims to explore the deformation of the collided bodies in multi-body systems and to effectively simulate the motion path of colliding bodies. First, we describe the geometrically nonlinear problems of materials by the total Lagrangian formulation. Second, a first-order integration scheme is used to solve the dynamics equations. An algorithm combining the bi-potential method with the node-to-point contact identification is proposed to solve the interface problems of rigid-flexible interaction collision. To observe the collision process more intuitively, the internal software FER/VIEW is introduced to visualize the results. The accuracy is proved by comparing the proposed method with the analytical solution or another numerical solution. Moreover, the proposed method has more numerical robustness, such as occupying less computer storage, saving the computational cost, and broadening the application range of the bi-potential method.

Dates and versions

hal-03862859 , version 1 (21-11-2022)

Identifiers

Cite

Ling Tao, Zhongpan Li, Yan Li, Huijian Chen, Zhiqiang Feng. Nonsmooth dynamic analysis of rigid-flexible interaction collision. Applied Mathematics and Mechanics, 2022, 43 (11), pp.1731-1746. ⟨10.1007/s10483-022-2922-9⟩. ⟨hal-03862859⟩
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