Topology optimization under design-dependent loads with the parameterized level-set method based on radial-basis functions

Based on the parameterized level-set method using radial basis functions, a topology optimization method is proposed that can account for design-dependent loads. First, a mathematical model of the optimization problem is established with the structural compliance minimization as the objective functi...

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Veröffentlicht in:Computer methods in applied mechanics and engineering Jg. 369; S. 113235
Hauptverfasser: Jiang, Yuanteng, Zhao, Min
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Amsterdam Elsevier B.V 01.09.2020
Elsevier BV
Schlagworte:
Boundary detection method
Design optimization
Design-dependent load
Integrals
Lagrange multiplier
Level-set method
Loads (forces)
Optimization
Parameterization
Radial basis function
Radial basis functions
Topology optimization
Topology optimization
Design-dependent load
Radial basis functions
Level-set method
Boundary detection method
ISSN:0045-7825, 1879-2138
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Zusammenfassung:Based on the parameterized level-set method using radial basis functions, a topology optimization method is proposed that can account for design-dependent loads. First, a mathematical model of the optimization problem is established with the structural compliance minimization as the objective function and the structural volume fraction as the design constraint. By converting the line integrals into volume integrals, the design-dependent loads imposed on the structure outline described by the zero-level set are converted, and a relatively easy boundary detection method is used. Subsequently, an updating strategy of the Lagrange multiplier is proposed to make the transition of the objective function smooth during the convergence process. Finally, the effectiveness and efficiency of the proposed optimization method in solving design-dependent load problems can be shown through several classic numerical examples. •Topology optimization is applied to design-dependent loads problem.•Radial basis functions and shape derivatives are used in parameterized level set method.•A new boundary detection method is presented.•A new update strategy of Lagrange multiplier is proposed.
Bibliographie:ObjectType-Article-1
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ISSN:0045-7825
1879-2138
DOI:10.1016/j.cma.2020.113235