This study presents an efficient multimaterial design optimization algorithm that is suitable for nonlinear structures. The proposed algorithm consists of three steps: conceptual design generation, clustering, and metamodel-based global optimization. The conceptual design is generated using a structural optimization algorithm for linear models or a heuristic design algorithm for nonlinear models. Then, the conceptual design is clustered into a predefined number of clusters (materials) using a machine learning algorithm. Finally, the global optimization problem aims to find the optimal material parameters of the clustered design using metamodels. The metamodels are built using sampling and cross-validation and sequentially updated using an expected improvement function until convergence. The proposed methodology is demonstrated using examples from multiple physics and compared with traditional multimaterial topology optimization (MTOP) method. The proposed approach is applied to a nonlinear, multi-objective design problems for crashworthiness.
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October 2017
Research-Article
Optimal Design of Nonlinear Multimaterial Structures for Crashworthiness Using Cluster Analysis
Kai Liu,
Kai Liu
School of Mechanical Engineering,
Purdue University,
West Lafayette, IN 47907
e-mail: liu915@purdue.edu
Purdue University,
West Lafayette, IN 47907
e-mail: liu915@purdue.edu
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Andres Tovar
Andres Tovar
Associate Professor
Department of Mechanical Engineering,
Indiana University-Purdue
University Indianapolis,
Indianapolis, IN 46202
e-mail: tovara@iupui.edu
Department of Mechanical Engineering,
Indiana University-Purdue
University Indianapolis,
Indianapolis, IN 46202
e-mail: tovara@iupui.edu
Search for other works by this author on:
Kai Liu
School of Mechanical Engineering,
Purdue University,
West Lafayette, IN 47907
e-mail: liu915@purdue.edu
Purdue University,
West Lafayette, IN 47907
e-mail: liu915@purdue.edu
Duane Detwiler
Andres Tovar
Associate Professor
Department of Mechanical Engineering,
Indiana University-Purdue
University Indianapolis,
Indianapolis, IN 46202
e-mail: tovara@iupui.edu
Department of Mechanical Engineering,
Indiana University-Purdue
University Indianapolis,
Indianapolis, IN 46202
e-mail: tovara@iupui.edu
1Corresponding author.
Contributed by the Design Automation Committee of ASME for publication in the JOURNAL OF MECHANICAL DESIGN. Manuscript received September 12, 2016; final manuscript received August 2, 2017; published online August 30, 2017. Assoc. Editor: Nam H. Kim.
J. Mech. Des. Oct 2017, 139(10): 101401 (11 pages)
Published Online: August 30, 2017
Article history
Received:
September 12, 2016
Revised:
August 2, 2017
Citation
Liu, K., Detwiler, D., and Tovar, A. (August 30, 2017). "Optimal Design of Nonlinear Multimaterial Structures for Crashworthiness Using Cluster Analysis." ASME. J. Mech. Des. October 2017; 139(10): 101401. https://doi.org/10.1115/1.4037620
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