Contact/impact dynamics of multi-body system based on LCP

被引：0

作者：

Zhang X. ^{[1
]}

Qi Z. ^{[2
]}

Wang G. ^{[3
]}

Guo S. ^{[2
]}

Wu Z. ^{[2
]}

机构：

[1] School of Science, Qingdao University of Technology, Qingdao

[2] State Key Lab of Structural Analysis for Industrial Equipment, Dalian University of Technology, Dalian

[3] School of Ocean Science and Technology, Dalian University of Technology, Panjin

来源：

Zhendong yu Chongji/Journal of Vibration and Shock | 2021年 / 40卷 / 05期

关键词：

Contact/impact; Flexible multibody system; Linear complementarity problem (LCP); Unilateral constraint;

D O I：

10.13465/j.cnki.jvs.2021.05.036

中图分类号：

学科分类号：

摘要：

Multibody systems may contain a large number of contact/impact behaviors, these non-smooth events cause discontinuity or piecewise continuous of dynamic equations of multi-body system and make these equations' numerical solving be more difficult. Here, in order to comprehensively consider smooth contact and collision, a non-smooth dynamic method based on linear complementarity problem (LCP) was proposed. Firstly, the gap function was homogenized within a short time duration starting from the current moment, and then a standard linear complementary equation was established for the gap function and the normal contact force. Finally, the linear complementarity equation was converted into a set of nonlinear algebraic equations to directly solve the contact force with nonlinear iteration. Example results showed that the proposed method does not need to switch the model when the contact state changes, it strictly satisfies the complementary relationship to ensure the non-negativity of contact force; the research results can be a new way to solve contact/collision problems of flexible multi-body systems. © 2021, Editorial Office of Journal of Vibration and Shock. All right reserved.

引用

页码：276 / 282

页数：6

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