Shape and topology optimization of compliant mechanisms using a parameterization level set method

DOI10.1016/j.jcp.2007.08.011zbMath1127.65043OpenAlexW2034822842MaRDI QIDQ2462486

Michael Yu Wang, Zhen Luo, Shengyin Wang, Liyong Tong

Publication date: 30 November 2007

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2007.08.011

zbMATH Keywords

Hamilton-Jacobi equationnumerical examplesradial basis functionsconvex programmingshape optimizationtopology optimizationlevel set methodscompliant mechanisms

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Numerical methods based on nonlinear programming (49M37) Optimization of shapes other than minimal surfaces (49Q10)

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Uses Software

• ToolboxLS
• CONLIN

Cites Work

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• Numerical methods for high dimensional Hamilton-Jacobi equations using radial basis functions
• An extended level set method for shape and topology optimization
• Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
• Generating optimal topologies in structural design using a homogenization method
• Error estimates for interpolation by compactly supported radial basis functions of minimal degree
• Incorporating topological derivatives into level set methods.
• Structural optimization using sensitivity analysis and a level-set method.
• ``Color level sets: A multi-phase method for structural topology optimization with multiple materials.
• Local Heaviside weighted MLPG meshless method for two-dimensional solids using compactly supported radial basis functions.
• Material interpolation schemes in topology optimization
• Structural boundary design via level set and immersed interface methods
• Limit positions of compliant mechanisms using the pseudo-rigid-body model concept
• A PDE-based fast local level set method
• A level set method for structural topology optimization.
• A multilevel, level-set method for optimizing eigenvalues in shape design problems
• Piecewise polynomial, positive definite and compactly supported radial functions of minimal degree
• An algorithm for selecting a good value for the parameter \(c\) in radial basis function interpolation
• A level-set method for vibration and multiple loads structural optimization
• Level set methods and their applications in image science
• Topology synthesis of large-displacement compliant mechanisms
• Inverse and saturation theorems for radial basis function interpolation
• A Class of Globally Convergent Optimization Methods Based on Conservative Convex Separable Approximations
• Structural Shape and Topology Optimization Using an Implicit Free Boundary Parametrization Method
• Optimal design of micro-mechanisms by the homogenization method
• A moving superimposed finite element method for structural topology optimization
• Radial basis functions and level set method for structural topology optimization
• Viscosity Solutions of Hamilton-Jacobi Equations
• The method of moving asymptotes—a new method for structural optimization
• Topology optimization of compliant mechanisms using the homogenization method
• On the Topological Derivative in Shape Optimization
• An Efficient, Interface-Preserving Level Set Redistancing Algorithm and Its Application to Interfacial Incompressible Fluid Flow
• Numerical Optimization
• Radial Basis Functions
• Topology optimization with implicit functions and regularization
• Weighted ENO Schemes for Hamilton--Jacobi Equations
• A geometry projection method for shape optimization
• Topology optimization of nonlinear elastic structures and compliant mechanisms
• Level set methods: An overview and some recent results
• Level set methods for optimization problems involving geometry and constraints. I: Frequencies of a two-density inhomogeneous drum
• Design of multiphysics actuators using topology optimization. I: One-material structures. II: Two-material structures.