The linearized stability analysis of dynamical systems modeled using finite element-based multibody formulations is addressed in this paper. The use of classical methods for stability analysis of these systems, such as the characteristic exponent method or Floquet theory, results in computationally prohibitive costs. Since comprehensive multibody models are “virtual prototypes” of actual systems, the applicability to numerical models of the stability analysis tools that are used in experimental settings is investigated in this work. Various experimental tools for stability analysis are reviewed. It is proved that Prony’s method, generally regarded as a curve-fitting method, is equivalent, and sometimes identical, to Floquet theory and to the partial Floquet method. This observation gives Prony’s method a sound theoretical footing, and considerably improves the robustness of its predictions when applied to comprehensive models of complex multibody systems. Numerical and experimental applications are presented to demonstrate the efficiency of the proposed procedure.
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January 2006
Research Papers
Stability Analysis of Complex Multibody Systems
Olivier A. Bauchau,
Olivier A. Bauchau
Daniel Guggenheim School of Aerospace Engineering,
Georgia Institute of Technology
, 270 Ferst Dr., Atlanta, GA 30332
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Jielong Wang
Jielong Wang
Daniel Guggenheim School of Aerospace Engineering,
Georgia Institute of Technology
, 270 Ferst Dr., Atlanta, GA 30332
Search for other works by this author on:
Olivier A. Bauchau
Daniel Guggenheim School of Aerospace Engineering,
Georgia Institute of Technology
, 270 Ferst Dr., Atlanta, GA 30332
Jielong Wang
Daniel Guggenheim School of Aerospace Engineering,
Georgia Institute of Technology
, 270 Ferst Dr., Atlanta, GA 30332J. Comput. Nonlinear Dynam. Jan 2006, 1(1): 71-80 (10 pages)
Published Online: May 1, 2005
Article history
Revised:
May 1, 2005
Citation
Bauchau, O. A., and Wang, J. (May 1, 2005). "Stability Analysis of Complex Multibody Systems." ASME. J. Comput. Nonlinear Dynam. January 2006; 1(1): 71–80. https://doi.org/10.1115/1.1944733
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