A PID-optimality criteria method for structural topology optimization

DOI10.1007/s11081-023-09810-2zbMATH Open1540.74113MaRDI QIDQ6547735

Weichun Fan, Zhongming Xu, Zhi-Fei Zhang

Publication date: 31 May 2024

Published in: Optimization and Engineering (Search for Journal in Brave)

zbMATH Keywords

convergenceLagrange multiplierbisection methodproportional integral derivative controlmulti-material topology optimizationMesserschmidt-Boelkow-Blohm beam

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Topological methods for optimization problems in solid mechanics (74P15) Numerical and other methods in solid mechanics (74S99)

Cites Work

• Approximated approximations for SAO
• Efficient topology optimization in MATLAB using 88 lines of code
• On equivalence between optimality criteria and projected gradient methods with application to topology optimization problem
• Enhanced two-point diagonal quadratic approximation methods for design optimization
• A semi-implicit level set method for structural shape and topology optimization
• Bi-directional evolutionary topology optimization of continuum structures with one or multiple materials
• Generating optimal topologies in structural design using a homogenization method
• A new three-dimensional topology optimization method based on moving morphable components (MMCs)
• A level set method for structural topology optimization.
• Multi-material continuum topology optimization with arbitrary volume and mass constraints
• Topology optimization of material nonlinear continuum structures under stress constraints
• An optimality criteria method hybridized with dual programming for topology optimization under multiple constraints by moving asymptotes approximation
• An adaptive method of moving asymptotes for topology optimization based on the trust region
• An efficient 146-line 3D sensitivity analysis code of stress-based topology optimization written in Matlab
• Topology optimization under design-dependent loads with the parameterized level-set method based on radial-basis functions
• A quadratic approximation for structural topology optimization
• Optimum structural design with stability constraints
• Explicit model of dual programming and solving method for a class of separable convex programming problems
• A survey on level set methods for inverse problems and optimal design
• Proposal of a modified optimality criteria method for topology optimization analysis in 3‐dimensional dynamic oscillation problems

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