A contact force model considering constant external forces for impact analysis in multibody dynamics
A contact force model considering constant external forces for impact analysis in multibody dynamics
复制标题
考虑恒定外力的接触力模型，用于多体动力学影响分析
DOI：
10.1007/s11044-018-09638-0
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发表时间：
2018-08
影响因子：
3.4
通讯作者：
Yaozhong Wei
中科院分区：
文献类型：
--
作者：
Yinhua Shen;Dong Xiang;Xiang Wang;Li Jiang;Yaozhong Wei
针对多体系统动力学分析，提出了一种考虑常外力影响的连续接触力模型。在该模型中，赫兹接触定律被用来表示接触的非线性性质，并推导出阻尼力，用于评估在冲击过程中的能量损失。与恢复系数一起，本文定义的外力影响因子需要用于计算与阻尼力相关的滞后阻尼因子。基于文献中常用的能量法推导了滞回阻尼因子的表达式，并针对能量法在恢复系数较小时误差较大的问题，采用指数函数加权组合法对其进行了改进。同时，通过对数值计算得到的滞回阻尼因子参数曲面进行拟合，得到了滞回阻尼因子的指数函数。最后，四个接触力模型，包括新的模型，被用来比较一个特殊的弹跳球的动态响应。结果表明，该模型更适合于多体动力学中的碰撞分析。此外，外力和能量损失是多体系统从多次碰撞状态进入稳态接触状态的主要原因。
A continuous contact force model, which considers the influence of constant external forces, is presented for the dynamic analysis of a multibody system. In this model, the Hertz contact law is applied to represent the nonlinear nature of contact, and a damping force is derived for evaluating the energy loss during impact. Together with the restitution coefficient, the external force influence factor defined in this paper is required for calculating the hysteresis damping factor associated with damping force. Moreover, the expression of hysteresis damping factor is deduced based on the energy-based method, which is adopted frequently in literature, and then it is improved by a weighted combination method with an exponential function due to the fact that the energy-based method has great errors when the restitution coefficient is low. Meanwhile, the exponential function is obtained by fitting the parametric surface of hysteresis damping factor gained from a numerical approach. Finally, four contact force models, including the new model, are utilized to compare the dynamic response of a special bouncing ball. The results illustrate that the described model is more suitable for impact analysis in multibody dynamics. In addition, the external forces and the energy loss are the main reasons for the multibody system to enter a steady contact state from repeated impact state.
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影响因子：
5.6
作者：
Pereira, Candida M.;Ramalho, Amilcar L.;Ambrosio, Jorge A.
通讯作者：
Ambrosio, Jorge A.
DOI：
10.1007/978-1-4614-2425-3_5
发表时间：
2012-01
期刊：
--
影响因子：
--
作者：
Ryan A. Menefee;J. Rinker;P. Shin;P. Schembri;A. Siranosian
通讯作者：
Ryan A. Menefee;J. Rinker;P. Shin;P. Schembri;A. Siranosian
影响因子：
5.2
作者：
Siyu Chen;Jinyuan Tang;Li-juan Wu
通讯作者：
Siyu Chen;Jinyuan Tang;Li-juan Wu
影响因子：
5.1
作者：
W. Stronge
通讯作者：
W. Stronge
影响因子：
3.2
作者：
Jong-yun Yoon;Byeongil Kim
通讯作者：
Jong-yun Yoon;Byeongil Kim