On the self-stressing modes in free vibration analysis

S. Idelsohn, M. Geradin

Research output: Contribution to journalArticlepeer-review

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Abstract

The type of convergence to the eigenspectrum of a structure calculated from a finite element analysis is examined in light of the variational properties of the Rayleigh quotient and of Courant's maximum-minimum principle. The influence of the self-stressing modes on the solution is firt demonstrated theoretically and then shown practically on the results obtained via a family of equilibrium elements in which the number of self-stressing modes relative to the number of vibration modes may be varied as a parameter.

Original languageEnglish
Pages (from-to)143-155
Number of pages13
JournalJournal of Sound and Vibration
Volume83
Issue number2
DOIs
StatePublished - 22 Jul 1982
Externally publishedYes

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