Quadratic representation of a nonlinear dynamic stiffness matrix and related eigenvalue problems

DOI10.1016/S0045-7825(96)01239-XzbMath0894.73079OpenAlexW2027816393WikidataQ58418956 ScholiaQ58418956MaRDI QIDQ1376613

F. W. Williams, Ye, Jianqiao

Publication date: 13 September 1998

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0045-7825(96)01239-x

zbMATH Keywords

approximate eigenvaluesquadratic matrix formulation

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Finite element methods applied to problems in solid mechanics (74S05) Inequalities involving eigenvalues and eigenvectors (15A42)

Cites Work

• Unnamed Item
• Improving condensation methods for eigenvalue problems via Rayleigh functionals
• A new approach to the dynamic analysis of structures using fixed frequency dynamic stiffness matrices
• On the solution of S(ω)x=0 by a Newtonian procedure
• Reliable use of determinants to solve non-linear structural eigenvalue problems efficiently
• Bounding Properties For Eigenvalues Of A Transcendental Constrained Matrix By Using A Simple Matrix Pencil
• Bounding properties for eigenvalues of a transcendental dynamic stiffness matrix by using a quadratic matrix pencil
• A successive bounding method to find the exact eigenvalues of transcendental stiffness matrix formulations
• Algorithms for the Nonlinear Eigenvalue Problem

This page was built for publication: Quadratic representation of a nonlinear dynamic stiffness matrix and related eigenvalue problems