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On the self-stressing modes in free vibration analysis

✍ Scribed by S. Idelsohn; M. Geradin

Book ID
104154217
Publisher
Elsevier Science
Year
1982
Tongue
English
Weight
573 KB
Volume
83
Category
Article
ISSN
0022-460X

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✦ Synopsis

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 first 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.

2. CLASSICAL EXTREMUM PROPERTIES OF EIGENVALUES [6]

Let V be a domain of the x, y, z space which has a piecewise smooth boundary F.

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