Frequency response as a surrogate eigenvalue problem in topology optimization

DOI10.1002/NME.5563zbMATH Open1548.74514MaRDI QIDQ6565752

Federico Ferrari, Alejandro R. Diaz, Ole Sigmund, Erik Andreassen

Publication date: 2 July 2024

Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)

zbMATH Keywords

optimizationvibrationstopology designstructures

Mathematics Subject Classification ID

Topological methods for optimization problems in solid mechanics (74P15) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25) Sensitivity analysis for optimization problems on manifolds (49Q12)

Cites Work

• Title not available (Why is that?)
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• On projection methods, convergence and robust formulations in topology optimization
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• Static and vibrational shape and topology optimization using homogenization and mathematical programming
• Topological design for vibrating structures
• A class of globally convergent optimization methods based on conservative convex separable approximations
• Level-set topology optimization with many linear buckling constraints using an efficient and robust eigensolver
• Topology optimization of dynamics problems with Padé approximants
• Solutions to shape and topology eigenvalue optimization problems using a homogenization method
• Systematic design of phononic band–gap materials and structures by topology optimization
• Topology optimization of resonating structures using SIMP method

Related Items (5)

A strategy based on the strain-to-kinetic energy ratio to ensure stability and convergence in topology optimization of globally resonating one-material structures ⋮ Eigenvalue topology optimization via efficient multilevel solution of the frequency response ⋮ Discrete variable topology optimization for maximizing single/multiple natural frequencies and frequency gaps considering the topological constraint ⋮ Advanced topology optimization ⋮ Topology optimization of finite strain viscoplastic systems under transient loads

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