Topology Optimization Using a Hybrid Cellular Automaton Method With Local Control Rules

Tovar, Andrés; Patel, Neal M.; Niebur, Glen L.; Sen, Mihir; Renaud, John E.

doi:10.1115/1.2336251

Cited by 109 publications

(65 citation statements)

References 38 publications

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“…The rest of the added volume (9/10) is used by algorithm as new search regions. In the CCSA algorithm we do not use sensitivity analysis and local rules to modify the structure like in SIMP, BESO or Cellular Automata (CA) methods (Tovar et al 2006). However, the results of the test confirm efficiency of the layer expansion procedure in overcoming the local minima problem.…”

Section: Constant Criterion Surface Algorithmmentioning

confidence: 83%

Uniform crashworthiness optimization of car body for high-speed trains

Mrzygłód

Kuczek

2013

Struct Multidisc Optim

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The paper deals with a new uniform crashworthiness concept of car bodies optimization of high-speed trains. The design optimization was done from the point of view of structural protection of occupants' survival space. For the reason that it is impossible to find a highly probable scenario for the derailment, the authors decided to find the solution in the form of rigid frame structure (survival cells), which will provide safety space for the passengers.In the optimization example a typical passenger car body was divided into cells of approximately equal dimensions. The optimization problem was to minimize the mass of the structure with stress constraints. The survival cell was subjected to a sequence of high value loads. The loads are acting in an asynchronous way in three load directions what gives the optimized structure uniform crashworthiness.The optimization strategy consists of three stages. In the first step, the constant criterion surface algorithm (CCSA) of topology optimization is applied to find a preliminary solutions. For improving the manufacture properties of this solution, a new concept of design space constraints was proposed. The sizing optimization with evolutionary algorithms was used to define a thin-walled structure in the second step. For evolutionary optimization a standard procedure was employed. Finally, CCSA optimization algorithm was This paper was presented in the 9th World Congress on Structural and Multidisciplinary Optimization, International Society for Structural and Multidisciplinary Optimization, Shizuoka, Japan, 2011 M. Mrzygłód · T. Kuczek ( ) Institute of Rail Vehicles, Cracow University of Technology, al. Jana Pawła II 37, Kraków, M. Mrzygłód e-mail: mrzyglod@mech.pk.edu.pl applied again to remove excessive material from a car body structure. As the optimization result a new design proposition of a car body with multiple survival cells of high uniform stiffness was obtained. By maintaining passengers' survival space, the passive safety of a high-speed car body was significantly increased.

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Section: Constant Criterion Surface Algorithmmentioning

confidence: 83%

Uniform crashworthiness optimization of car body for high-speed trains

Mrzygłód

Kuczek

2013

Struct Multidisc Optim

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“…A similar direction is presented in papers [10][11][12]. The solution of structural optimization problems is also considered.…”

Section: Introductionmentioning

confidence: 90%

The Algorithm of Continuous Optimization Based on the Modified Cellular Automaton

et al. 2016

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This article is devoted to the application of the cellular automata mathematical apparatus to the problem of continuous optimization. The cellular automaton with an objective function is introduced as a new modification of the classic cellular automaton. The algorithm of continuous optimization, which is based on dynamics of the cellular automaton having the property of geometric symmetry, is obtained. The results of the simulation experiments with the obtained algorithm on standard test functions are provided, and a comparison between the analogs is shown.

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“…Otherwise, a heuristic design algorithm can be used instead. The heuristic design algorithm used in this work is HCA [39]. HCA is commercially available in LS-TaSC for LS-DYNA (LSTC, California).…”

Section: Conceptual Designmentioning

confidence: 99%

“…Outstanding heuristic approaches for multimaterial topology optimization are the bi-directional evolutionary structural optimization (BESO) method [35,36], the Discrete Material Optimization (DMO) method [37,38], and the Hybrid Cellular Automaton (HCA) method [39,40]. For instance, HCA can be efficient in problems involving a large number of design variables in nonlinear multimaterial structures [41]; however, heuristic methods are not applicable to general structural optimization problems.…”

Section: Introductionmentioning

confidence: 99%

Optimal Design of Nonlinear Multimaterial Structures for Crashworthiness Using Cluster Analysis

Liu

Detwiler

Tovar

2017

Journal of Mechanical Design

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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 method. The proposed approach is applied to nonlinear, multi-objective design problems for crashworthiness.

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Topology Optimization Using a Hybrid Cellular Automaton Method With Local Control Rules

Cited by 109 publications

References 38 publications

Uniform crashworthiness optimization of car body for high-speed trains

Uniform crashworthiness optimization of car body for high-speed trains

The Algorithm of Continuous Optimization Based on the Modified Cellular Automaton

Optimal Design of Nonlinear Multimaterial Structures for Crashworthiness Using Cluster Analysis

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