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Numerical results from the application of gradient iterative techniques to the finite element vibration and stability analysis of skew plates

Published online by Cambridge University Press:  04 July 2016

Isaac Fried  and
Karl-Hienz Schmitt
Isaac Fried
Affiliation:
Dept. of Mathematics, Boston University
Karl-Hienz Schmitt
Affiliation:
IBM. Bonn
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Extract

The obtuse corner of the skew plate is a singular point with a stress singularity growing in intensity with an increase in the angle of skew. For regaining the full rate of convergence of the finite element method the mesh around the singular point should be properly refined or the leading singular terms included in the finite element scheme. In any event a large number of unknowns may be required. For obtaining an accuracy of 1% in the 10th Eigenvalue of a clamped square plate discretised with the 16-degrees-of-freedom elements used in the present calculations, about 300 variables are required. For computational convenience calculations were carried out here with a uniform mesh requiring even a larger number of unknowns.

Type
Technical notes
Information
The Aeronautical Journal , Volume 76 , Issue 735 , March 1972 , pp. 166 - 169
Copyright
Copyright © Royal Aeronautical Society 1972 

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