A Contact Force Model with Nonlinear Compliance and Residual Indentation
A Contact Force Model with Nonlinear Compliance and Residual Indentation
复制标题
具有非线性柔度和残余压痕的接触力模型
DOI：
10.1115/1.4024403
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发表时间：
2014
期刊：
影响因子：
--
通讯作者：
and Motoji Yamamoto
中科院分区：
文献类型：
--
作者：
Xiaogang Xiong;Ryo Kikuuwe;and Motoji Yamamoto
两个物体之间的接触是一种复杂的现象，其中力和相对位置具有非线性关系。文献中的经验结果表明，在某些机械系统，如生物组织，接触力和压痕之间的关系具有以下三个特征：（i）在碰撞时的力的连续性，（ii）赫兹样的非线性力压痕曲线，（iii）非零压痕时的接触力损失。传统的Hunt-Crossley（HC）模型不捕获特征（iii），因为该模型使接触力和压痕同时达到零。本文提出了一种基于微分代数方程的柔顺接触模型，满足所有三个特征。通过数值模拟研究了模型的行为以及模型中参数的影响。
The contact between two bodies is a complicated phenomenon in which the force and the relative position have nonlinear relations. Empirical results in the literature show that, in some mechanical systems such as biological tissues, the relation between the contact force and the indentation is characterized by the following three features: (i) continuity of the force at the time of collision, (ii) a Hertz-like nonlinear force-indentation curve, and (iii) nonzero indentation at the time of loss of contact force. The conventional Hunt–Crossley (HC) model does not capture the feature (iii) as the model makes the contact force and the indentation reach zero simultaneously. This paper proposes a compliant contact model based on a differential-algebraic equation that satisfies all three features. The behaviors of the model and the effect of the parameters in the model are investigated through numerical simulations.