An explicit length scale control approach in SIMP-based topology optimization

DOI10.1016/j.cma.2014.08.027zbMath1423.74776OpenAlexW2083095231MaRDI QIDQ1668775

Wenliang Zhong, Xu Guo, Wei Sheng Zhang

Publication date: 29 August 2018

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2014.08.027

zbMATH Keywords

topology optimizationlength scale controlsimpstructural skeleton

Mathematics Subject Classification ID

Topological methods for optimization problems in solid mechanics (74P15) Compliance or weight optimization in solid mechanics (74P05)

Related Items

Constraints of distance from boundary to skeleton: for the control of length scale in level set based structural topology optimization ⋮ Minimum length scale in topology optimization by geometric constraints ⋮ A novel approach for length scale control in structural topology optimization ⋮ Topology optimization of plate/shell structures with respect to eigenfrequencies using a biologically inspired algorithm ⋮ Multi-scale robust design and optimization considering load uncertainties ⋮ Piecewise length scale control for topology optimization with an irregular design domain ⋮ Topology optimization design of stretchable metamaterials with Bézier skeleton explicit density (BSED) representation algorithm ⋮ On non-penalization SEMDOT using discrete variable sensitivities ⋮ Topology optimization of compliant mechanism and its support through a level set method ⋮ An explicit formulation for minimum length scale control in density-based topology optimization ⋮ Shape feature controlled topology optimization of attached piezoelectric actuators for vibration control of thin-walled smart structures ⋮ A hole-filling based approach to controlling structural complexity in topology optimization ⋮ Length scale control schemes for bi‐directional evolutionary structural optimization method ⋮ An augmented Lagrangian method for multiple nodal displacement-constrained topology optimization ⋮ Multi-material structural discrete variable topology optimization with minimum length scale control under mass constraint ⋮ Maximum thickness control in topology optimization using an inflection-point-based geometric constraint ⋮ Derivable skeletons in topology optimization for length scale control ⋮ Topology optimization of plate structures using plate element-based moving morphable component (MMC) approach ⋮ Explicit layout control in optimal design of structural systems with multiple embedding components ⋮ Smooth topological design of structures with minimum length scale and chamfer/round controls ⋮ An explicit optimization model for integrated layout design of planar multi-component systems using moving morphable bars ⋮ Topology optimization of multi-material structures with graded interfaces ⋮ Minimum length scale control in a NURBS-based SIMP method ⋮ Explicit and efficient topology optimization of frequency-dependent damping patches using moving morphable components and reduced-order models ⋮ Control of minimum member size in parameter-free structural shape optimization by a medial axis approximation ⋮ Simulation of the propagation of cracks in a brittle material ⋮ Self-supporting structure design with feature-driven optimization approach for additive manufacturing ⋮ Moving morphable patches for three-dimensional topology optimization with thickness control ⋮ Topology optimization design of quasi-periodic cellular structures based on erode-dilate operators ⋮ Topology optimization benchmarks in 2D: results for minimum compliance and minimum volume in planar stress problems ⋮ Mathematical Morphology on Soft Sets for Application to Metabolic Networks ⋮ Recent advances and future trends in exploring Pareto-optimal topologies and additive manufacturing oriented topology optimization ⋮ Implementation of structural assemblies by simultaneous projection and density-based topology optimization ⋮ Minimum length scale control in structural topology optimization based on the moving morphable components (MMC) approach ⋮ Maximum length scale in density based topology optimization ⋮ Self-supporting structure design in additive manufacturing through explicit topology optimization ⋮ Explicit control of structural complexity in topology optimization ⋮ Arbitrary void feature control in level set topology optimization ⋮ A new multi-material level set topology optimization method with the length scale control capability ⋮ Robust topology optimization under multiple independent unknown-but-bounded loads ⋮ Explicit structural topology optimization based on moving morphable components (MMC) with curved skeletons ⋮ Explicit control of 2D and 3D structural complexity by discrete variable topology optimization method ⋮ Length scale control in density-based multi-material topology optimization

Cites Work

• Manufacturing tolerant topology optimization
• Recent development in structural design and optimization
• Imposing maximum length scale in topology optimization
• On projection methods, convergence and robust formulations in topology optimization
• Explicit feature control in structural topology optimization via level set method
• Robust structural topology optimization considering boundary uncertainties
• Generating optimal topologies in structural design using a homogenization method
• Multi-resolution multi-scale topology optimization -- a new paradigm
• A new level set method for systematic design of hinge-free compliant mechanisms
• The method of moving asymptotes—a new method for structural optimization
• Scene Labeling by Relaxation Operations
• Topology optimization in wavelet space
• A new scheme for imposing a minimum length scale in topology optimization
• Achieving minimum length scale in topology optimization using nodal design variables and projection functions
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item