汽车抗碰撞分析中的摩擦力计算

本文提出了一种在汽车抗碰撞分析中计及摩擦力的计算方法。这是一种假定服从库仑摩擦定律的计算摩擦力的的有限元分析显式计算法，称为“防御节点法”。很多情况，包括物体间接触碰撞的大变形、大位移，以及碰撞接触面上大的相对滑动等情况都可应用此法进行计算。同时，在此法中还可应用拉格朗日乘子来表征粘滞状态并进行显式的的动力学分析，数值分析的结果证明本方法是有效的可靠的。

Calculation of Friction Force in Analysis of Automobile Crashworthiness

An algorithm for evaluation of friction in automobile crashworthiness analysis is described. The algorithm is based on an explicit finite dement method with the Coulomb's friction law assumed. The defence node algorithm is used such that the sticking condition can be imposed with the Lagrange multiplier method even in the explicit dynamic analysis. The algorithm is supposed to be applicable to many general situations, including large deformations of the contact-impact bodies and large relative slidings between the contact-impact boundaries. Numerical results are presented to demonstrate the performance of the algorithm.