Contact/impact dynamics of multi-body system based on LCP
ZHANG Xingang1, QI Zhaohui2, WANG Gang3, GUO Shudong2, WU Zhigang2
1.School of Science, Qingdao University of Technology, Qingdao 266525, China;
2.State Key Lab ofStructural Analysis for Industrial Equipment, Dalian University of Technology, Dalian 116024, China;
3.School of Ocean Science and Technology, Dalian University of Technology, Panjin 124221, China
Multibody systems always contain plenty of contact-impact behaviors, these non-smooth events cause the discontinuity or piecewise continuous of the govern equations and make the numerical solution more difficult. To overcome this difficulty, first, the instant gap function can be replaced by its time-averaged gap to set the standard linear complementarity equation. In the following, these equations can be modified as its equivalent non-linear equations, contact force can then be solved by nonlinear iteration. Numerical results showed that impact and smoothing contact are comprehensive consideration without change contact force model when contact status changes. Moreover, the non-negativity of the contact fore is guaranteed by the strict complementarity condition. The proposed method can be a new available approach to numerical analysis of contact/impact problems of flexible multibody systems.
张欣刚1，齐朝晖2，王刚3，国树东2，吴志刚2. 基于线性互补问题的多体系统接触/碰撞动力学研究[J]. 振动与冲击, 2021, 40(5): 276-282.
ZHANG Xingang1, QI Zhaohui2, WANG Gang3, GUO Shudong2, WU Zhigang2. Contact/impact dynamics of multi-body system based on LCP. JOURNAL OF VIBRATION AND SHOCK, 2021, 40(5): 276-282.
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