A monotonicity analysis theory for the dependent eigenvalues of the vibrating systems

DOI10.1016/0895-7177(95)00034-YzbMath0817.73030OpenAlexW2095335753MaRDI QIDQ1804923

Mohammedi R. Abdel-Aziz

Publication date: 4 May 1995

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0895-7177(95)00034-y

zbMATH Keywords

shape functionslarge scale eigenproblems

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Finite element methods applied to problems in solid mechanics (74S05)

Related Items

Relative perturbation theory for matrix eigenproblems in free vibration analysis, Computing eigenpairs of quadratic eigensystems, Bounds for relative distances of eigenvalues in free vibration analysis, Convexity analysis of the largest dependent eigenvalue functions of eigensystems, Sensitivity analysis of the largest dependent eigenvalue functions of eigensystems

Cites Work

• A lanczos‐based technique for exact vibration analysis of skeletal structures
• Safeguarded use of the implicit restarted lanczos technique for solving non‐linear structural eigensystems
• Algorithms for the Nonlinear Eigenvalue Problem
• Introduction to Finite Element Vibration Analysis
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