This article introduces benchmark cases for time integrators devoted to non-smooth impact dynamics. It focuses on numerical properties of explicit integrators. Each case tests one necessary numerical property in computational impact dynamics: energy behaviour at impact, angular momentum conservation, non-linear behaviour. The cases are easy to implement and analyse, providing a benchmark well-suited to first numerical studies. We rewrite explicit schemes for non-smooth impact dynamics with unified notations, and analyse them with the benchmark cases.

中文翻译：

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非平稳瞬态动力学中鲁棒显式时间积分器的基准案例

本文介绍了致力于非平稳冲击动力学的时间积分器的基准案例。它着重于显式积分器的数值性质。每个案例都在计算冲击动力学时测试了一个必要的数值属性：冲击时的能量行为，角动量守恒，非线性行为。这些案例易于实施和分析，提供了非常适合首次数值研究的基准。我们用统一的符号重写非光滑冲击动力学的显式方案，并用基准案例进行分析。