In finite element analysis, inertia relief solves the response of an unconstrained structure subject to constant or slowly varying external loads with static analysis computational cost. It is very attractive to utilize it in topology optimization to design structures under unbalanced loads, such as in impact and drop phenomena. In this paper, regional strain energy formulation and inertia relief is integrated into topology optimization to design protective structure under unbalanced loads. For background, the equations of inertia relief are introduced and a commonly used solving method is revisited. Then the regional strain energy formulation for topology optimization with inertia relief is proposed and its sensitivity is derived from the adjoint method. Based on the solving method, the sensitivity is evaluated term by term to simplify the results. The simplified sensitivity can be calculated easily using the output of commercial finite element packages. Finally, the effectiveness of this formulation is shown in the first example and the proposed regional strain energy formulation for topology optimization with inertia relief are presented and discussed in the protective structure design examples.
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ASME 2013 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
August 4–7, 2013
Portland, Oregon, USA
Conference Sponsors:
- Design Engineering Division
- Computers and Information in Engineering Division
ISBN:
978-0-7918-5588-1
PROCEEDINGS PAPER
Application of Regional Strain Energy in Topology Optimization With Inertia Relief Analysis
Wei Song,
Wei Song
Rutgers, The State University of New Jersey, Piscataway, NJ
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Hae Chang Gea,
Hae Chang Gea
Rutgers, The State University of New Jersey, Piscataway, NJ
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Ren-Jye Yang,
Ren-Jye Yang
Ford Motor Company, Dearborn, MI
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Ching-Hung Chuang
Ching-Hung Chuang
Ford Motor Company, Dearborn, MI
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Wei Song
Rutgers, The State University of New Jersey, Piscataway, NJ
Hae Chang Gea
Rutgers, The State University of New Jersey, Piscataway, NJ
Ren-Jye Yang
Ford Motor Company, Dearborn, MI
Ching-Hung Chuang
Ford Motor Company, Dearborn, MI
Paper No:
DETC2013-13283, V03AT03A056; 9 pages
Published Online:
February 12, 2014
Citation
Song, W, Gea, HC, Yang, R, & Chuang, C. "Application of Regional Strain Energy in Topology Optimization With Inertia Relief Analysis." Proceedings of the ASME 2013 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. Volume 3A: 39th Design Automation Conference. Portland, Oregon, USA. August 4–7, 2013. V03AT03A056. ASME. https://doi.org/10.1115/DETC2013-13283
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