Simulation of impacts between spherical rigid bodies with frictional effects

IF 2.7 3区工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY

International Journal for Numerical Methods in Engineering Pub Date : 2024-07-11 DOI:10.1002/nme.7556

Eliana Sánchez, Alejandro Cosimo, Oliver Brüls, Alberto Cardona, Federico J. Cavalieri

引用次数: 0

Abstract

This work studies the impact between spherical rigid bodies in the frame of nonsmooth contact dynamics considering friction effects. A new impact element formulation based on the classical instantaneous local Newton impact law is presented. The kinematics properties of the spheres are described by a rigid body formulation with translational and rotational degrees of freedom referred to an inertial frame. In addition, an extension of the nonsmooth generalized- $α$ time integration scheme applied to collisions with multiple impacts including Coulomb's friction law is given. Six numerical examples are presented to evaluate the robustness and the performance of the proposed methodology.

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利用摩擦效应模拟球形刚体之间的撞击

这项研究考虑了摩擦效应，研究了非光滑接触动力学框架下球形刚体之间的撞击。本文提出了一种基于经典瞬时局部牛顿撞击定律的新撞击元素公式。球体的运动学特性由刚体公式描述，其平移和旋转自由度参照惯性框架。此外，还给出了非光滑广义时间积分方案的扩展，该方案适用于包含库仑摩擦定律的多重碰撞。文中给出了六个数值示例，以评估所提方法的稳健性和性能。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

International Journal for Numerical Methods in Engineering 工程技术-工程：综合

CiteScore

5.70

自引率

6.90%

发文量

276

审稿时长

5.3 months

期刊介绍： The International Journal for Numerical Methods in Engineering publishes original papers describing significant, novel developments in numerical methods that are applicable to engineering problems. The Journal is known for welcoming contributions in a wide range of areas in computational engineering, including computational issues in model reduction, uncertainty quantification, verification and validation, inverse analysis and stochastic methods, optimisation, element technology, solution techniques and parallel computing, damage and fracture, mechanics at micro and nano-scales, low-speed fluid dynamics, fluid-structure interaction, electromagnetics, coupled diffusion phenomena, and error estimation and mesh generation. It is emphasized that this is by no means an exhaustive list, and particularly papers on multi-scale, multi-physics or multi-disciplinary problems, and on new, emerging topics are welcome.