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Numerical methods in multibody system dynamics

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Bibliographic Details
Summary:This chapter includes the main numerical methods commonly utilized in multibody systems, namely those necessary to solve the dynamic equations of motion for constrained multibody systems. In this process, the fundamental aspects associated with the use of direct integration method together with the use of Baumgarte stabilization technique are described. In addition, several numerical algorithms for the integration process of the dynamics equations of motion are presented. An algorithm on contact detection for multibody systems encountering contact-impact events is discussed. Finally, numerical methods to systems of linear and nonlinear equations are analyzed.
Main Authors:Flores, Paulo
Other Authors:Lankarani, Hamid M.
Subject:Dynamic analysis Direct integration method Baumgarte stabilization method Systems of linear equations Systems of nonlinear equations Engenharia e Tecnologia::Engenharia Mecânica
Year:2016
Country:Portugal
Document type:book part
Access type:restricted access
Associated institution:Universidade do Minho
Language:English
Origin:RepositóriUM - Universidade do Minho
Description
Summary:This chapter includes the main numerical methods commonly utilized in multibody systems, namely those necessary to solve the dynamic equations of motion for constrained multibody systems. In this process, the fundamental aspects associated with the use of direct integration method together with the use of Baumgarte stabilization technique are described. In addition, several numerical algorithms for the integration process of the dynamics equations of motion are presented. An algorithm on contact detection for multibody systems encountering contact-impact events is discussed. Finally, numerical methods to systems of linear and nonlinear equations are analyzed.