{"title":"Modeling the effect of Rayleigh damping on the stability of real-time finite element models","authors":"S. Marlatt, S. Payandeh","doi":"10.1109/WHC.2005.93","DOIUrl":null,"url":null,"abstract":"The relationship between Rayleigh damping and the critical integration step size of linear explicit finite element models using centered difference integration is explored. From experimental results, an analytical formula is derived that extends the Courant condition to include Rayleigh damping, allowing real-time computation of stable time-step sizes for viscously damped finite element models for haptic simulations.","PeriodicalId":117050,"journal":{"name":"First Joint Eurohaptics Conference and Symposium on Haptic Interfaces for Virtual Environment and Teleoperator Systems. World Haptics Conference","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2005-03-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"First Joint Eurohaptics Conference and Symposium on Haptic Interfaces for Virtual Environment and Teleoperator Systems. World Haptics Conference","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/WHC.2005.93","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 2
Abstract
The relationship between Rayleigh damping and the critical integration step size of linear explicit finite element models using centered difference integration is explored. From experimental results, an analytical formula is derived that extends the Courant condition to include Rayleigh damping, allowing real-time computation of stable time-step sizes for viscously damped finite element models for haptic simulations.