Continuous contact force models for impact analysis in multibody systems
Continuous contact force models for impact analysis in multibody systems
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DOI：
10.1007/bf00045676
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发表时间：
1994-03
影响因子：
5.6
通讯作者：
H. Lankarani;P. Nikravesh
中科院分区：
文献类型：
--
作者：
H. Lankarani;P. Nikravesh
预测多体系统碰撞响应的一种方法是基于碰撞体发生局部变形且接触力连续的假设。在连续分析中，系统运动方程的积分是在接触期间进行的，因此需要一个计算接触力的模型。本文提出了两种基于两个固体颗粒直接中心碰撞的赫兹接触力模型，在低速碰撞时，碰撞过程中的能量耗散可以用材料阻尼来表示。根据赫兹接触定律的一般趋势，结合滞后阻尼函数，建立了一个模型。未知参数是根据给定的恢复系数和碰撞速度确定的。当局部塑性效应是高冲击速度下能量耗散的主导因素时，建立了含永久压痕的赫兹接触力模型。利用能量和动量的考虑，在模型中的未知参数再次评估。将两质点模型推广到多体系统中两体碰撞分析。
One method for predicting the impact response of a multibody system is based on the assumption that the impacting bodies undergo local deformations and the contact forces are continuous. In a continuous analysis, the integration of the system equations of motion is carried out during the period of contact; therefore, a model for evaluating the contact forces is required. In this paper, two such contact force models are presented, both Hertzian in nature and based upon the direct-central impact of two solid particles.At low impact velocities, the energy dissipation during impact can be represented by material damping. A model is constructed based on the general trend of the Hertz contact law in conjuction with a hysteresis damping function. The unknown parameters are determined in terms of a given coefficient of restitution and the impact velocity. When local plasticity effects are the dominant factor accounting for the dissipation of energy at high impact velocities, a Hertzian contact force model with permanent indentation is constructed. Utilizing energy and momentum considerations, the unknown parameters in the model are again evaluated. The two particle models are generalized to an impact analysis between two bodies of a multibody system.