刚体碰撞中刚度的两种解释

A. Chatterjee, A. Ruina
{"title":"刚体碰撞中刚度的两种解释","authors":"A. Chatterjee, A. Ruina","doi":"10.1115/imece1997-0522","DOIUrl":null,"url":null,"abstract":"\n We distinguish between, and discuss the applicability of, two levels of rigidity in rigid-body collision modeling.\n For rigidity in the strong, force-response, sense collisional contact deformations must be highly localized. The bodies then move according to 2nd order rigid-body mechanics during the collision. Incremental collision laws and most collision models using continuum mechanics for the contact region depend on force-response rigidity.\n For rigidity in the weaker, impulse-response, sense the deformations need not be localized but displacements during the collision need to be small everywhere. Only the time-integrated rigid-body equations, involving before-collision and after-collision velocities, then need apply. Although a force-response rigid body is also impulse-response rigid the converse is not true. Algebraic collision laws depend only on impulse-response rigidity. Elastic vibration models of collisions are also generally consistent with impulse-response rigidity.","PeriodicalId":407468,"journal":{"name":"Recent Advances in Solids/Structures and Application of Metallic Materials","volume":"234 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1997-11-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Two Interpretations of Rigidity in Rigid Body Collisions\",\"authors\":\"A. Chatterjee, A. Ruina\",\"doi\":\"10.1115/imece1997-0522\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"\\n We distinguish between, and discuss the applicability of, two levels of rigidity in rigid-body collision modeling.\\n For rigidity in the strong, force-response, sense collisional contact deformations must be highly localized. The bodies then move according to 2nd order rigid-body mechanics during the collision. Incremental collision laws and most collision models using continuum mechanics for the contact region depend on force-response rigidity.\\n For rigidity in the weaker, impulse-response, sense the deformations need not be localized but displacements during the collision need to be small everywhere. Only the time-integrated rigid-body equations, involving before-collision and after-collision velocities, then need apply. Although a force-response rigid body is also impulse-response rigid the converse is not true. Algebraic collision laws depend only on impulse-response rigidity. Elastic vibration models of collisions are also generally consistent with impulse-response rigidity.\",\"PeriodicalId\":407468,\"journal\":{\"name\":\"Recent Advances in Solids/Structures and Application of Metallic Materials\",\"volume\":\"234 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1997-11-16\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Recent Advances in Solids/Structures and Application of Metallic Materials\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1115/imece1997-0522\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Recent Advances in Solids/Structures and Application of Metallic Materials","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1115/imece1997-0522","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0

摘要

在刚体碰撞建模中,我们区分并讨论了两种级别的刚度的适用性。对于刚性强、力响应强、感觉碰撞接触变形必须高度局部化。在碰撞过程中,物体根据二阶刚体力学运动。增量碰撞定律和大多数使用连续介质力学的接触区域碰撞模型依赖于力响应刚度。对于刚性较弱、脉冲响应较弱的传感器,不需要局部变形,但碰撞过程中的位移需要处处小。此时只需要应用涉及碰撞前和碰撞后速度的时间积分刚体方程。虽然力响应刚体也是脉冲响应刚体,但反之则不成立。代数碰撞律只依赖于脉冲响应刚性。碰撞的弹性振动模型一般也与脉冲响应刚度一致。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Two Interpretations of Rigidity in Rigid Body Collisions
We distinguish between, and discuss the applicability of, two levels of rigidity in rigid-body collision modeling. For rigidity in the strong, force-response, sense collisional contact deformations must be highly localized. The bodies then move according to 2nd order rigid-body mechanics during the collision. Incremental collision laws and most collision models using continuum mechanics for the contact region depend on force-response rigidity. For rigidity in the weaker, impulse-response, sense the deformations need not be localized but displacements during the collision need to be small everywhere. Only the time-integrated rigid-body equations, involving before-collision and after-collision velocities, then need apply. Although a force-response rigid body is also impulse-response rigid the converse is not true. Algebraic collision laws depend only on impulse-response rigidity. Elastic vibration models of collisions are also generally consistent with impulse-response rigidity.
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
自引率
0.00%
发文量
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
copy
已复制链接
快去分享给好友吧!
我知道了
右上角分享
点击右上角分享
0
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:604180095
Book学术官方微信