Structural design for desired eigenfrequencies and mode shapes using topology optimization

DOI10.1007/s00158-012-0840-2zbMath1274.74403OpenAlexW1993364106MaRDI QIDQ381989

Mohammad Hasan, H. S. Yoon

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/s00158-012-0840-2

zbMATH Keywords

mode shapetopology optimizationSIMPmodal assurance criterion

Mathematics Subject Classification ID

Topological methods for optimization problems in solid mechanics (74P15)

Related Items (6)

Three-dimensional dynamic topology optimization with frequency constraints using composite exponential function and ICM method ⋮ Simultaneous isogeometrical shape and material design of functionally graded structures for optimal eigenfrequencies ⋮ A method for eliminating local modes caused by isolated structures in dynamic topology optimization ⋮ Topology optimization design scheme for broadband non-resonant hyperbolic elastic metamaterials ⋮ Optimal design of piezoelectric modal transducers ⋮ Eigenvector sensitivity when tracking modes with repeated eigenvalues

Cites Work

• Topological design of freely vibrating continuum structures for maximum values of simple and multiple eigenfrequencies and frequency gaps
• A critical review of established methods of structural topology optimization
• Structural topology optimization for frequency response problem using model reduction schemes
• An interpretation for min-max structural design problems including a method for relaxing constraints
• Systematic occurrence of repeated eigenvalues in structural optimization
• Structural topology and shape optimization for a frequency response problem
• Topological design for vibrating structures
• Surface acoustic wave mems gyroscope
• Stability of finite element models for distributed-parameter optimization and topology design
• AN IMPROVED BI-DIRECTIONAL EVOLUTIONARY TOPOLOGY OPTIMIZATION METHOD FOR FREQUENCIES
• Continuous approximation of material distribution for topology optimization
• Structural topology optimization of vibrating structures with specified eigenfrequencies and eigenmode shapes
• The method of moving asymptotes—a new method for structural optimization
• Topology optimization of resonating structures using SIMP method

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