Analysis and Design of Nonlinearly Constrained Dynamic Systems
Chen, Shanshin
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https://hdl.handle.net/2142/84005
Description
Title
Analysis and Design of Nonlinearly Constrained Dynamic Systems
Author(s)
Chen, Shanshin
Issue Date
2000
Doctoral Committee Chair(s)
David A. Tortorelli
Department of Study
Mechanical Engineering
Discipline
Mechanical Engineering
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
Engineering, Civil
Language
eng
Abstract
In this manuscript, rigid body and elastodynamic systems are considered separately. A unifying formulation, i.e. one that augments rigid body formulations with flexible members, is not pursued due to that fact that the rigid body formulations described herein, exhibit recursive behavior, which augmented with flexibility effects, do not account for geometric stiffening effects. The introduction of flexibility drastically increases the number of degrees of freedom and destroys the recursive nature and fine-grain parallelism of the problem. As a result, algorithms that are best suited to the study of rigid body systems are no longer computationally efficient. Instead, a total Lagrangian approach based on constrained nonlinear elasticity is pursued to study flexible multibody systems. In the finite element formulation of this approach, domain decomposition is used to exploit course-grain parallelism.
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