Multi-rigid-body dynamic contact systems, in other words Non Smooth Contact Dynamics (NSCD) problems, generate some inherent difficulties to multivocal laws, which results in non-linearities and non-smoothness associated to frictional contact models. Recently, Primal–Dual Active Set strategies (PDAS) have emerged as a promising method for solving contact problems. These methods are based on the following principle: the frictional contact conditions are restated as non-linear complementary functions for which the solution is provided by the iterative semi-smooth Newton method. Based on these prerequisites, this contribution aims to provide a generalization of the NSCD-PDAS for dynamic frictional contact problems. Several numerical experiments are reported for algorithm validation purposes and also to assess the efficiency and performances of PDAS methods with respect to the Newton/Augmented Lagrangian and the Bi-Potential methods.

多刚体动态接触系统，即非平滑接触动力学 (NSCD) 问题，会对多声定律产生一些固有的困难，从而导致与摩擦接触模型相关的非线性和非平滑性。最近，原始-双主动集策略（PDAS）已成为解决接触问题的一种有前途的方法。这些方法基于以下原则：摩擦接触条件被重新表述为非线性互补函数，其解由迭代半光滑牛顿法提供. 基于这些先决条件，该贡献旨在为动态摩擦接触问题提供 NSCD-PDAS 的推广。报告了几个数值实验用于算法验证目的，也用于评估 PDAS 方法相对于牛顿/增广拉格朗日和双势方法的效率和性能。