Topology optimization for free vibrating continuum structures based on the element free Galerkin method

DOI10.1007/S00158-011-0667-2zbMath1274.74425OpenAlexW1990660634MaRDI QIDQ381700

Guangyao Li, Juan Zheng, Shuyao Long

Publication date: 15 November 2013

Published in: Structural and Multidisciplinary Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00158-011-0667-2

zbMATH Keywords

optimality criteria methodelement free Galerkin method (EFG)SIMPtopology optimization design of free vibrating continuum structures

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Topological methods for optimization problems in solid mechanics (74P15)

Related Items (8)

Topology optimization of thermal structure for isotropic and anisotropic materials using the element-free Galerkin method ⋮ The topology optimization design for cracked structures ⋮ Three-dimensional dynamic topology optimization with frequency constraints using composite exponential function and ICM method ⋮ Thermomechanical coupling multi-objective topology optimization of anisotropic structures based on the element-free Galerkin method ⋮ An efficient reanalysis method for topological optimization of vibrating continuum structures for simple and multiple eigenfrequencies ⋮ Level set topology optimization with nodally integrated reproducing kernel particle method ⋮ A NURBS-based finite cell method for structural topology optimization under geometric constraints ⋮ Topology optimization of periodic mechanical structures with orthotropic materials based on the element-free Galerkin method

Cites Work

• The topology optimization design for continuum structures based on the element free Galerkin method
• Topological design of freely vibrating continuum structures for maximum values of simple and multiple eigenfrequencies and frequency gaps
• Generating optimal topologies in structural design using a homogenization method
• A new meshless local Petrov-Galerkin (MLPG) approach in computational mechanics
• Material interpolation schemes in topology optimization
• Topological design for vibrating structures
• Topology design optimization of geometrically nonlinear structures using meshfree method
• A Finite Volume Meshless Local Petrov-Galerkin Method for Topology Optimization Design of the Continuum Structures
• A Topology Optimization Design for the Continuum Structure Based on the Meshless Numerical Technique
• The method of moving asymptotes—a new method for structural optimization
• Solutions to shape and topology eigenvalue optimization problems using a homogenization method
• Element‐free Galerkin methods
• A three-dimensional explicit element-free galerkin method
• Reproducing kernel particle methods for structural dynamics
• A symmetry reduction method for continuum structural topology optimization

This page was built for publication: Topology optimization for free vibrating continuum structures based on the element free Galerkin method