多体动力学碰撞分析的连续接触力模型
A continuous contact force model for impact analysis in multibody dynamics
摘要：
本文提出并讨论了一种新的连续接触力模型，用于多体系统中具有规则或不规则接触面的接触问题和能量耗散问题。该模型根据赫兹定律建立，并引入迟滞阻尼力来模拟接触过程中的能量耗散。由于基于系统动力学方程几乎不可能得到解析解，因此提出了碰撞系统的近似动力学方程，实现了系统动力学方程的良好近似。在近似动力学方程的基础上，建立了变形速度与变形之间的近似函数，并利用该函数计算了阻尼力引起的能量损失。该模型是通过修正原滞回阻尼参数公式建立的，该公式是由能量平衡和线动量守恒定律相结合推导出的。五个不同的连续接触模型的数值结果揭示了我们的新模型的能力，以及接触表面的动态系统响应的几何形状的效果。
英文摘要：
A new continuous contact force model for contacting problems with regular or irregular contacting surfaces and energy dissipations in multibody systems is presented and discussed in this work. The model is developed according to Hertz law and a hysteresis damping force is introduced for modeling the energy dissipation during the contact process. As it is almost impossible to obtain an analytical solution based on the system dynamic equation, an approximate dynamic equation for the collision system is proposed, achieving a good approximation of the system dynamic equation. An approximate function between deformation velocity and deformation is founded on the approximate dynamic equation, then it is utilized to calculate the energy loss due to the damping force. The model is established through modifying the original formula of the hysteresis damping parameter derived by combining the energy balance and the law of conservation of linear momentum. Numerical results of five different continuous contact models reveal the capability of our new model as well as the effect of the geometry of the contacting surfaces on the dynamic system response.
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