Automating the Derivation of the Equations of Motion of a Multibody Dynamic System With Uncertainty Using Polynomial Chaos Theory and Variational Work
Document Type
Article
Publication Date
1-2020
Publisher
American Society of Mechanical Engineers (ASME)
Source Publication
Journal of Computational and Nonlinear Dynamics
Source ISSN
1555-1415
Original Item ID
DOI: 10.1115/1.4045239
Abstract
Understanding how variation impacts a multibody dynamic (MBD) system's response is important to ensure the robustness of a system. However, how the variation propagates into the MBD system is complicated because MBD systems are typically governed by a system of large differential algebraic equations. This paper presents a novel process, variational work, along with the polynomial chaos multibody dynamics (PCMBoD) automation process for utilizing polynomial chaos theory (PCT) in the analysis of uncertainties in an MBD system. Variational work allows the complexity of the traditional PCT approach to be reduced. With variational work and the constrained Lagrangian formulation, the equations of motion of an MBD PCT system can be constructed using the PCMBoD automated process. To demonstrate the PCMBoD process, two examples, a mass-spring-damper and a two link slider–crank mechanism, are shown.
Recommended Citation
Ryan, Paul S.; Baxter, Sarah C.; and Voglewede, Philip A., "Automating the Derivation of the Equations of Motion of a Multibody Dynamic System With Uncertainty Using Polynomial Chaos Theory and Variational Work" (2020). Mechanical Engineering Faculty Research and Publications. 345.
https://epublications.marquette.edu/mechengin_fac/345
Comments
Journal of Computational and Nonlinear Dynamics, Vol. 15, No. 1 (January 2020). DOI.