Analysis of nonphysical attraction force and new coefficient of restitution based on a nonlinear viscoelastic contact model in cohesionless granular system

IF 4.5 1区工程技术 Q1 ENGINEERING, MECHANICAL

Mechanism and Machine Theory Pub Date : 2024-10-28 DOI:10.1016/j.mechmachtheory.2024.105821

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引用次数: 0

Abstract

This investigation implements systematical research on the coefficient of restitution (CoR) and nonphysical attraction force. Firstly, a characteristic length is redefined based on energy conservation. On this basis, a new general CoR model is derived through characteristic length. Subsequently, a new constraint equation of the power exponents is proposed from the new CoR model. The new CoR model is validated by experimental data regardless of whether the initial impact velocity is very low or high speed. Secondly, we systematically analyze the real reason for the nonphysical attraction force in the viscous damping loop. The simulation shows the nonphysical attraction force cannot be removed from the viscous damping loop. The real reason for the nonphysical attraction force lies in the natural property of the viscous damping factor. Finally, to eliminate the effect of the attraction force on the motion status of colliding particles after impact, a balance coefficient is introduced to compensate for the deficiency of nonphysical attraction force and original damping factor. The simulation proves that the post-impact velocity of colliding particles can be precisely captured using a viscous contact force model with a balance coefficient.

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基于非线性粘弹性接触模型的无内聚力颗粒体系中的非物理吸引力和新的恢复系数分析

本研究对弹性模量（CoR）和非物理吸引力进行了系统研究。首先，基于能量守恒重新定义了特征长度。在此基础上，通过特征长度推导出新的通用 CoR 模型。随后，根据新的 CoR 模型提出了一个新的功率指数约束方程。无论初始冲击速度是很低还是很高，新的 CoR 模型都得到了实验数据的验证。其次，我们系统地分析了粘性阻尼回路中产生非物理吸引力的真正原因。模拟结果表明，粘性阻尼回路中的非物理吸引力无法消除。非物理吸引力的真正原因在于粘性阻尼因子的自然属性。最后，为了消除吸引力对碰撞后粒子运动状态的影响，引入了平衡系数来弥补非物理吸引力和原始阻尼系数的不足。仿真证明，使用带有平衡系数的粘性接触力模型可以精确地捕捉到碰撞后粒子的速度。

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

Mechanism and Machine Theory 工程技术-工程：机械

CiteScore

9.90

自引率

23.10%

发文量

450

审稿时长

20 days

期刊介绍： Mechanism and Machine Theory provides a medium of communication between engineers and scientists engaged in research and development within the fields of knowledge embraced by IFToMM, the International Federation for the Promotion of Mechanism and Machine Science, therefore affiliated with IFToMM as its official research journal. The main topics are: Design Theory and Methodology; Haptics and Human-Machine-Interfaces; Robotics, Mechatronics and Micro-Machines; Mechanisms, Mechanical Transmissions and Machines; Kinematics, Dynamics, and Control of Mechanical Systems; Applications to Bioengineering and Molecular Chemistry