Research on Collision with Low Restitution Coefficient

He Jian, Ma Ji-sheng, Wu Dalin, Deng Shijie
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Abstract

The Hertz contact theory remains the foundation for almost all of the available contact force models, but by itself, it is not appropriate for most impacts in practice due to the amount of energy dissipated during the impact. So, there are several dissipative contact force models that considering the damping term based on the Hertz contact force model, the article mainly does the research to several typical dissipative contact force model including the Hunt-Crossley model, Lankarani-Nikravesh model and Gonthier model, analysis their difference and scope of application, the results show that: for the collision which the material has the high coefficient of restitution, three dissipative models are closed and both has a good precision, for the collision with low coefficient of restitution, that Gonthier model is more suitable.
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低恢复系数碰撞的研究
赫兹接触理论仍然是几乎所有可用的接触力模型的基础,但由于撞击过程中能量耗散的数量,它本身并不适用于实际中的大多数撞击。因此,考虑到基于Hertz接触力模型的阻尼项的耗散接触力模型有几种,本文主要对几种典型的耗散接触力模型进行研究,包括Hunt-Crossley模型、Lankarani-Nikravesh模型和Gonthier模型,分析它们的区别和适用范围,结果表明:对于材料具有高恢复系数的碰撞,三种耗散模型都是封闭的,都具有较好的精度,对于具有低恢复系数的碰撞,Gonthier模型更适合。
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