The objective of this work is to establish a cluster-based optimization method for the optimal design of cellular materials and structures for crashworthiness, which involves the use of nonlinear, dynamic finite element models. The proposed method uses a cluster-based structural optimization approach consisting of four steps: conceptual design generation, clustering, metamodel-based global optimization, and cellular material design. The conceptual design is generated using structural optimization methods. K-means clustering is applied to the conceptual design to reduce the dimensional of the design space as well as define the internal architectures of the multimaterial structure. With reduced dimension space, global optimization aims to improve the crashworthiness of the structure can be performed efficiently. The cellular material design incorporates two homogenization methods, namely, energy-based homogenization for linear and nonlinear elastic material models and mean-field homogenization for (fully) nonlinear material models. The proposed methodology is demonstrated using three designs for crashworthiness that include linear, geometrically nonlinear, and nonlinear models.
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November 2018
Research-Article
Cluster-Based Optimization of Cellular Materials and Structures for Crashworthiness
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
Purdue School of Engineering and Technology,
Department of Mechanical and Energy
Engineering,
Indiana University-Purdue University
Indianapolis,
Indianapolis, IN 46202
e-mail: tovara@iupui.edu
Department of Mechanical and Energy
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
Purdue School of Engineering and Technology,
Department of Mechanical and Energy
Engineering,
Indiana University-Purdue University
Indianapolis,
Indianapolis, IN 46202
e-mail: tovara@iupui.edu
Department of Mechanical and Energy
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 March 15, 2018; final manuscript received July 9, 2018; published online September 10, 2018. Assoc. Editor: Nam H. Kim.
J. Mech. Des. Nov 2018, 140(11): 111412 (10 pages)
Published Online: September 10, 2018
Article history
Received:
March 15, 2018
Revised:
July 9, 2018
Citation
Liu, K., Detwiler, D., and Tovar, A. (September 10, 2018). "Cluster-Based Optimization of Cellular Materials and Structures for Crashworthiness." ASME. J. Mech. Des. November 2018; 140(11): 111412. https://doi.org/10.1115/1.4040960
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