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On the solution of S(ω)x=0 by a Newtonian procedure

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Publication:3678783
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DOI10.1016/0022-460X(84)90476-0zbMath0564.73071OpenAlexW2084317818MaRDI QIDQ3678783

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Publication date: 1984

Published in: Journal of Sound and Vibration (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-460x(84)90476-0


zbMATH Keywords

transcendental functionsLeung theoremradian natural frequencyreal symmetric structural dynamic stiffness matrix


Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Numerical solution of nonlinear eigenvalue and eigenvector problems (65H17)


Related Items (6)

A highly stable and accurate computational method for eigensolutions in structural dynamics ⋮ An exact model reduction procedure for mechanical systems ⋮ Quadratic representation of a nonlinear dynamic stiffness matrix and related eigenvalue problems ⋮ Dynamic stiffness and response analysis ⋮ Wittrick–Williams algorithm proof of bracketing and convergence theorems for eigenvalues of constrained structures with positive and negative penalty parameters ⋮ Derivation of New Transcendental Member Stiffness Determinant for Vibrating Frames







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