Efficient and reliable sensitivity analyses are critical for topology optimization, especially for multibody dynamics systems, because of the large number of design variables and the complexities and expense in solving the state equations. This research addresses a general and efficient sensitivity analysis method for topology optimization with design objectives associated with time dependent dynamics responses of multibody dynamics systems that include nonlinear geometric effects associated with large translational and rotational motions. An iterative sensitivity analysis relation is proposed, based on typical finite difference methods for the differential algebraic equations (DAEs). These iterative equations can be simplified for specific cases to obtain more efficient sensitivity analysis methods. Since finite difference methods are general and widely used, the iterative sensitivity analysis is also applicable to various numerical solution approaches. The proposed sensitivity analysis method is demonstrated using a truss structure topology optimization problem with consideration of the dynamic response including large translational and rotational motions. The topology optimization problem of the general truss structure is formulated using the SIMP (Simply Isotropic Material with Penalization) assumption for the design variables associated with each truss member. It is shown that the proposed iterative steps sensitivity analysis method is both reliable and efficient.
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ASME 2011 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
August 28–31, 2011
Washington, DC, USA
Conference Sponsors:
- Design Engineering Division and Computers and Information in Engineering Division
ISBN:
978-0-7918-5481-5
PROCEEDINGS PAPER
Efficient Sensitivity Analysis for Multibody Dynamics Systems Using an Iterative Steps Method With Application in Topology Optimization Available to Purchase
Guang Dong,
Guang Dong
University of Michigan, Ann Arbor, MI
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Zheng-Dong Ma,
Zheng-Dong Ma
University of Michigan, Ann Arbor, MI
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Gregory Hulbert,
Gregory Hulbert
University of Michigan, Ann Arbor, MI
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Noboru Kikuchi,
Noboru Kikuchi
University of Michigan, Ann Arbor, MI
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Sudhakar Arepally,
Sudhakar Arepally
U.S. Army TARDEC, Warren, MI
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Ken-An Lou
Ken-An Lou
ArmorWorks, LLC, Chandler, AZ
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Guang Dong
University of Michigan, Ann Arbor, MI
Zheng-Dong Ma
University of Michigan, Ann Arbor, MI
Gregory Hulbert
University of Michigan, Ann Arbor, MI
Noboru Kikuchi
University of Michigan, Ann Arbor, MI
Sudhakar Arepally
U.S. Army TARDEC, Warren, MI
Madan Vunnam
U.S. Army TARDEC, Warren, MI
Ken-An Lou
ArmorWorks, LLC, Chandler, AZ
Paper No:
DETC2011-47578, pp. 337-346; 10 pages
Published Online:
June 12, 2012
Citation
Dong, G, Ma, Z, Hulbert, G, Kikuchi, N, Arepally, S, Vunnam, M, & Lou, K. "Efficient Sensitivity Analysis for Multibody Dynamics Systems Using an Iterative Steps Method With Application in Topology Optimization." Proceedings of the ASME 2011 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. Volume 4: 8th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, Parts A and B. Washington, DC, USA. August 28–31, 2011. pp. 337-346. ASME. https://doi.org/10.1115/DETC2011-47578
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