Eigenvector sensitivity when tracking modes with repeated eigenvalues

DOI10.1016/J.CMA.2017.07.031zbMath1439.74254OpenAlexW2744499551MaRDI QIDQ2310064

Yanyan Li

Publication date: 6 April 2020

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.2017.07.031

zbMATH Keywords

repeated eigenvaluesmodal assurance criterioneigenvector derivativeeigenmode optimizationeigenmode selectionmode shape derivative

Mathematics Subject Classification ID

Compliance or weight optimization in solid mechanics (74P05)

Related Items (3)

Topology optimization of piezo modal transducers considering electrode connectivity constraints ⋮ Eigenvectors-guided topology optimization to control the mode shape and suppress the vibration of the multi-material plate ⋮ Cavity identification in elastic structures by explicit domain mapping and boundary mode sensitivity analysis

Cites Work

• Unnamed Item
• Unnamed Item
• Topological design of freely vibrating continuum structures for maximum values of simple and multiple eigenfrequencies and frequency gaps
• Structural design for desired eigenfrequencies and mode shapes using topology optimization
• Design sensitivity analysis of structural systems
• 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
• The method of moving asymptotes—a new method for structural optimization
• Efficient computation of mode-shape derivatives for large dynamic systems
• Simplified calculation of eigenvector derivatives
• Topology optimization of resonating structures using SIMP method
• Rates of change of eigenvalues and eigenvectors.

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