Eigenvectors-guided topology optimization to control the mode shape and suppress the vibration of the multi-material plate

DOI10.1016/j.cma.2021.114560OpenAlexW4210486209MaRDI QIDQ2670364

Liang Xue, Hongxin Wang, Jie Liu, Gui-Lin Wen

Publication date: 11 March 2022

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.2021.114560

zbMATH Keywords

topology optimizationmulti-materialeigenvector derivativeeigenmode optimizationcontrol mode shapesuppress vibration

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Plates (74K20) Topological methods for optimization problems in solid mechanics (74P15)

Related Items (1)

An efficient transient dynamic topology optimization framework based on successive iteration of analysis and design

Uses Software

• top.m
• top88.m
• topopt_multi

Cites Work

• Efficient topology optimization in MATLAB using 88 lines of code
• Material interpolation schemes for unified topology and multi-material optimization
• Topology optimization in aircraft and aerospace structures design
• Generating optimal topologies in structural design using a homogenization method
• Material interpolation schemes in topology optimization
• Multimaterial topology optimization by volume constrained Allen-Cahn system and regularized projected steepest descent method
• A level set method for structural topology optimization.
• An efficient concurrent topology optimization approach for frequency response problems
• A new multiscale topology optimization method for multiphase composite structures of frequency response with level sets
• Explicit topology optimization using IGA-based moving morphable void (MMV) approach
• Level-set topology optimization considering nonlinear thermoelasticity
• On the design of multimaterial structural topologies using integer programming
• Explicit three dimensional topology optimization via moving morphable void (MMV) approach
• Eigenvector sensitivity when tracking modes with repeated eigenvalues
• Topology optimization for functionally graded cellular composites with metamaterials by level sets
• Concurrent topology optimization for minimizing frequency responses of two-level hierarchical structures
• NUMERICAL METHOD FOR SENSITIVITY ANALYSIS OF EIGENSYSTEMS WITH NON-REPEATED AND REPEATED EIGENVALUES
• Structural topology optimization of vibrating structures with specified eigenfrequencies and eigenmode shapes
• Computation of eigenvalue and eigenvector derivatives for a general complex-valued eigensystem
• Efficient computation of mode-shape derivatives for large dynamic systems
• Simplified calculation of eigenvector derivatives
• Evolutionary structural optimisation (ESO) using a bidirectional algorithm
• Topology optimization of resonating structures using SIMP method
• Rates of change of eigenvalues and eigenvectors.

This page was built for publication: Eigenvectors-guided topology optimization to control the mode shape and suppress the vibration of the multi-material plate