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

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Journal of Vibration and Shock ›› 2021, Vol. 40 ›› Issue (5) : 276-282.

ZHANG Xingang1, QI Zhaohui2, WANG Gang3, GUO Shudong2, WU Zhigang2

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Abstract

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.

Key words

flexible multibody system / contact-impact / linear complementarity problem (LCP);unilateral constraint

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ZHANG Xingang1, QI Zhaohui2, WANG Gang3, GUO Shudong2, WU Zhigang2. Contact/impact dynamics of multi-body system based on LCP[J]. Journal of Vibration and Shock, 2021, 40(5): 276-282

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