APPLICATION OF THE MODIFIED REISSNER VARIATIONAL PRINCIPLE TO A CANTILEVER PLATE PROBLEM USING THE TECHNIQUES OF NUMERICAL INTEGRATION AND FINITE DIFFERENCES.
TEXAS UNIV AUSTIN DEFENSE RESEARCH LAB
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The thesis is concerned with the application of the modified Reissner variational principle, which permits simultaneous independent variations in deflections and moments, to the study of the square cantilever plate. A technique employing numerical integration and finite differences to evaluate the integrals appearing in the modified principle is developed and applied 1 to the static deflection problem of the uniformly loaded plate and 2 to the problem of the plate vibrating in its fundamental mode. As a result of this technique, the unknowns to be evaluated are the deflections and the moments located at discrete points on the plate and not unknown coefficients satisfying polynomials which express the deflection shape and the moment distribution of the plate. The accuracy is therefore dependent only on the number of discrete points located on the plate. The use of extrapolation equations greatly increases the accuracy and the results of this thesis are in good agreement with experimental results. Author
- Structural Engineering and Building Technology