Vibration and stability of a nonconservative two-degree-of-freedom system
type: Item
instance of: scholarly article
title: Vibration and stability of a nonconservative two-degree-of-freedom system
zbMATH Open document ID: 0659.70023
DOI: 10.1007/BF01177042
author: S. H. Smith
published in: Acta Mechanica
publication date: 1988-01-01T00:00:00Z
review text: It often results in a problem of eigenvalues of a non-symmetric matrix to solve the vibration and stability of a nonconservative structural system, which would cause many difficulties in numerical calculations. In the present paper, a variational principle with an additional condition for a nonconservative two-degree-of-freedom system is proposed, based on which an iterative procedure is formed. The method is to transform a nonconservative problem into a series of conservative ones. The convergence characters of the method are analyzed and numerical results are given.
Mathematics Subject Classification ID: 70J30
Mathematics Subject Classification ID: 70J25
zbMATH DE Number: 4078888
zbMATH Keywords: eigenvalues of a non-symmetric matrix
zbMATH Keywords: stability of a nonconservative structural system
zbMATH Keywords: variational principle
zbMATH Keywords: iterative procedure
zbMATH Keywords: transform a nonconservative problem into a series of conservative ones
zbMATH Keywords: convergence
MaRDI profile type: Publication
cites work: Q5733235
cites work: Q3888625
cites work: Q4184436
full work available at URL: https://doi.org/10.1007/bf01177042
OpenAlex ID: W2058081410
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description: scientific article; zbMATH DE number 4078888