A level set based shape and topology optimization method for maximizing the simple or repeated first eigenvalue of structure vibration

DOI10.1007/s00158-010-0595-6zbMath1274.74416OpenAlexW2092945443MaRDI QIDQ381582

Michael Yu Wang, Tielin Shi, Qi Xia

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/s00158-010-0595-6

zbMATH Keywords

eigenvaluelevel set methodvibrationshape and topology optimization

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Vibrations in dynamical problems in solid mechanics (74H45) Finite element methods applied to problems in solid mechanics (74S05) Topological methods for optimization problems in solid mechanics (74P15)

Related Items (10)

An approach for maximizing the smallest eigenfrequency of structure vibration based on piecewise constant level set method ⋮ A Non-Ersatz Material Approach for the Topology Optimization of Elastic Structures Based on Piecewise Constant Level Set Method ⋮ 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 ⋮ Level-set topology optimization with many linear buckling constraints using an efficient and robust eigensolver ⋮ A method for eliminating local modes caused by isolated structures in dynamic topology optimization ⋮ A normalization strategy for BESO-based structural optimization and its application to frequency response suppression ⋮ An ODE-driven level-set density method for topology optimization ⋮ Bi-directional evolutionary structural optimization on advanced structures and materials: a comprehensive review ⋮ A phase field method based on multi-level correction for eigenvalue topology optimization

Uses Software

• ESOFRAME

Cites Work

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