与外载荷非线性粘弹性接触的近似恢复系数

IF 2.4 3区工程技术 Granular Matter Pub Date : 2022-10-17 DOI:10.1007/s10035-022-01284-w

Abhishek Chatterjee, Guillaume James, Bernard Brogliato

{"title":"与外载荷非线性粘弹性接触的近似恢复系数","authors":"Abhishek Chatterjee, Guillaume James, Bernard Brogliato","doi":"10.1007/s10035-022-01284-w","DOIUrl":null,"url":null,"abstract":"<div><p>We derive an approximate coefficient of restitution (CoR) for a single bead impacting the ground when a constant external load acts upon the colliding body. Some of the main applications concern classical nonlinear viscoelastic models such as the <i>Kuwabara-Kono</i> model, <i>Simon-Hunt-Crossley</i> model, and Hertzian stiffness with linear damping, however the proposed approach applies to a wide class of nonlinear viscoelastic contact models. It is shown that suitable expansions allow to derive a computable expression of the CoR which provides accurate predictions for a valuable range of external loads, viscosity coefficients and impact velocities.</p><h3>Graphical abstract</h3>\n <figure><div><div><div><picture><img></picture></div></div></div></figure>\n </div>","PeriodicalId":49323,"journal":{"name":"Granular Matter","volume":"24 4","pages":""},"PeriodicalIF":2.4000,"publicationDate":"2022-10-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Approximate coefficient of restitution for nonlinear viscoelastic contact with external load\",\"authors\":\"Abhishek Chatterjee, Guillaume James, Bernard Brogliato\",\"doi\":\"10.1007/s10035-022-01284-w\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>We derive an approximate coefficient of restitution (CoR) for a single bead impacting the ground when a constant external load acts upon the colliding body. Some of the main applications concern classical nonlinear viscoelastic models such as the <i>Kuwabara-Kono</i> model, <i>Simon-Hunt-Crossley</i> model, and Hertzian stiffness with linear damping, however the proposed approach applies to a wide class of nonlinear viscoelastic contact models. It is shown that suitable expansions allow to derive a computable expression of the CoR which provides accurate predictions for a valuable range of external loads, viscosity coefficients and impact velocities.</p><h3>Graphical abstract</h3>\\n <figure><div><div><div><picture><img></picture></div></div></div></figure>\\n </div>\",\"PeriodicalId\":49323,\"journal\":{\"name\":\"Granular Matter\",\"volume\":\"24 4\",\"pages\":\"\"},\"PeriodicalIF\":2.4000,\"publicationDate\":\"2022-10-17\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Granular Matter\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s10035-022-01284-w\",\"RegionNum\":3,\"RegionCategory\":\"工程技术\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Granular Matter","FirstCategoryId":"5","ListUrlMain":"https://link.springer.com/article/10.1007/s10035-022-01284-w","RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}

引用次数: 0

摘要

我们推导了在恒定的外部载荷作用于碰撞体时单个头部撞击地面的近似恢复系数(CoR)。一些主要的应用涉及经典的非线性粘弹性模型，如Kuwabara-Kono模型、Simon-Hunt-Crossley模型和带线性阻尼的赫兹刚度模型，然而，所提出的方法适用于广泛的非线性粘弹性接触模型。结果表明，适当的扩展可以推导出可计算的CoR表达式，该表达式可以准确预测有价值的外载荷，粘度系数和冲击速度范围。图形抽象

本文章由计算机程序翻译，如有差异，请以英文原文为准。

摘要图片

查看原文

微信好友朋友圈 QQ好友复制链接

本刊更多论文

Approximate coefficient of restitution for nonlinear viscoelastic contact with external load

We derive an approximate coefficient of restitution (CoR) for a single bead impacting the ground when a constant external load acts upon the colliding body. Some of the main applications concern classical nonlinear viscoelastic models such as the Kuwabara-Kono model, Simon-Hunt-Crossley model, and Hertzian stiffness with linear damping, however the proposed approach applies to a wide class of nonlinear viscoelastic contact models. It is shown that suitable expansions allow to derive a computable expression of the CoR which provides accurate predictions for a valuable range of external loads, viscosity coefficients and impact velocities.

Graphical abstract

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Granular Matter MATERIALS SCIENCE, MULTIDISCIPLINARY-MECHANICS

CiteScore

4.30

自引率

8.30%

发文量

期刊介绍： Although many phenomena observed in granular materials are still not yet fully understood, important contributions have been made to further our understanding using modern tools from statistical mechanics, micro-mechanics, and computational science. These modern tools apply to disordered systems, phase transitions, instabilities or intermittent behavior and the performance of discrete particle simulations. >> Until now, however, many of these results were only to be found scattered throughout the literature. Physicists are often unaware of the theories and results published by engineers or other fields - and vice versa. The journal Granular Matter thus serves as an interdisciplinary platform of communication among researchers of various disciplines who are involved in the basic research on granular media. It helps to establish a common language and gather articles under one single roof that up to now have been spread over many journals in a variety of fields. Notwithstanding, highly applied or technical work is beyond the scope of this journal.