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 language | English |
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Pages (from-to) | 143-155 |
Number of pages | 13 |
Journal | Journal of Sound and Vibration |
Volume | 83 |
Issue number | 2 |
DOIs | |
State | Published - 22 Jul 1982 |
Externally published | Yes |