Static and Dynamic Muti-objective Topology Optimization of 3D Thin-walled Infill Structures Towards to Complex Design Domains

doi:10.3901/JME.2025.23.193

Abstract

Abstract: In this paper, a hydrostatic and dynamic multi-objective topology optimization method for thin-walled infill structures for complex design domains is proposed, which realizes the automatic acquisition of topological configurations of thin-walled infill structures for three-dimensional complex geometric design domains, design domain-non-design domain integration, and considering the static and dynamic performance of structures. A static and dynamic multi-objective topology optimization model with structural compliance and eigenfrequency as the goal and volume fraction as the constraint is established, based on the triangle box overlap algorithm and the diffuse water filling algorithm to realize the characterization of complex design domains, combined with the two-step filtering method to describe the characteristics of thin-walled infill configuration. In order to improve the design efficiency, the Generalized minimal residual (GMRES) method and the Krylov-Schur method are used to solve the static governing equations and modal frequency eigenvalue equations in parallel, respectively. In topology optimization, the modal order is obtained by the Mode tracking strategy (MAC), and the optimization problem is efficiently solved by the Moving asymptote method (MMA). In order to verify the effectiveness of the algorithm, the multi-objective topology optimization design of a two-dimensional clamp beam with a complex design domain is studied, and the algorithm is applied to the design of the suspension control arm structure, which reduced the structural mass by 21.24%, and proved the potential application value of the algorithm in structural design.

Key words: shell-infill structures, complex design domain, topology optimization, static and dynamic multi-objective optimization, parallel computing

CLC Number:

TG156

LI Siqi, LIU Kang, CHEN Yiming, CAI Jiale, BAI Yingchun. Static and Dynamic Muti-objective Topology Optimization of 3D Thin-walled Infill Structures Towards to Complex Design Domains[J]. Journal of Mechanical Engineering, 2025, 61(23): 193-202.

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