{"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}
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.