Chapter 5 -- Numerical methods in multibody system dynamics
Flores, Paulo Lankarani, Hamid M.
Flores, Paulo
Lankarani, Hamid M.
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2016-03-16
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Book chapter
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Keywords
Dynamic analysis,Direct integration method,Baumgarte stabilization method,Systems of linear equations,Systems of nonlinear equations
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Citation
Flores, Paulo; Lankarani, Hamid M. 2016. Chapter 5 -- Numerical methods in multibody system dynamics, In: Contact Force Models for Multibody Dynamics by: Paulo Flores, Hamid M. Lankarani, ISBN: 978-3-319-30896-8, DOI: http://dx.doi.org/10.1007/978-3-319-30897-5, Solid mechanics and its applications, Springer, 2016, vol. 226:pp 93-134
Abstract
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.
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Springer International Publishing AG
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Series
Solid mechanics and its applications;v.226
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0925-0042