{"title":"A new model with uniform damping force for frictionless impacts with non-permanent deformation at the time of separation","authors":"Mohammad Poursina, Parviz E. Nikravesh","doi":"10.1007/s11044-024-10003-7","DOIUrl":null,"url":null,"abstract":"<p>This paper presents a new approach to modeling the contact force in continuous method of modeling an impact. This method considers the traditionally used Hertz spring force to represent the elastic behavior of the impact. A new nonlinear damping force is introduced to model the energy dissipation during the impact. Unlike the traditional spring-damping force elements used in some continuous contact force models, the introduced nonlinear damper can address impacts with non-permanent local deformation at the time of separation. We conduct both analytical and numerical investigations to mathematically express the damping factor as an explicit function of system parameters. In order to ensure that the presented force model can recover the desired restitution, an optimization approach is introduced and implemented to determine the optimal damping factor. The proposed force model is numerically verified on random systems. Finally, this new model is used to study the behavior of two colliding pendulums along with well-established piecewise and continuous approaches for modeling impacts.</p>","PeriodicalId":49792,"journal":{"name":"Multibody System Dynamics","volume":null,"pages":null},"PeriodicalIF":2.6000,"publicationDate":"2024-07-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Multibody System Dynamics","FirstCategoryId":"5","ListUrlMain":"https://doi.org/10.1007/s11044-024-10003-7","RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MECHANICS","Score":null,"Total":0}
引用次数: 0
Abstract
This paper presents a new approach to modeling the contact force in continuous method of modeling an impact. This method considers the traditionally used Hertz spring force to represent the elastic behavior of the impact. A new nonlinear damping force is introduced to model the energy dissipation during the impact. Unlike the traditional spring-damping force elements used in some continuous contact force models, the introduced nonlinear damper can address impacts with non-permanent local deformation at the time of separation. We conduct both analytical and numerical investigations to mathematically express the damping factor as an explicit function of system parameters. In order to ensure that the presented force model can recover the desired restitution, an optimization approach is introduced and implemented to determine the optimal damping factor. The proposed force model is numerically verified on random systems. Finally, this new model is used to study the behavior of two colliding pendulums along with well-established piecewise and continuous approaches for modeling impacts.
期刊介绍:
The journal Multibody System Dynamics treats theoretical and computational methods in rigid and flexible multibody systems, their application, and the experimental procedures used to validate the theoretical foundations.
The research reported addresses computational and experimental aspects and their application to classical and emerging fields in science and technology. Both development and application aspects of multibody dynamics are relevant, in particular in the fields of control, optimization, real-time simulation, parallel computation, workspace and path planning, reliability, and durability. The journal also publishes articles covering application fields such as vehicle dynamics, aerospace technology, robotics and mechatronics, machine dynamics, crashworthiness, biomechanics, artificial intelligence, and system identification if they involve or contribute to the field of Multibody System Dynamics.