APPLICATION OF THE MODIFIED REISSNER VARIATIONAL PRINCIPLE TO A CANTILEVER PLATE PROBLEM.
TEXAS UNIV AUSTIN DEFENSE RESEARCH LAB
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The thesis describes briefly a variational principle of Reissner and its modification for application to the study of flat plates. The modified principle, which permits simultaneous independent variations in deflections and moments, is then used to study the static and vibration characteristics of a square cantilever plate. Two cases are considered 1 study of the static deflection and fundamental mode using deflection and moment expressions which are composed of polynomials, and 2 study of the static deflection and first three modes of vibration using a deflection expression composed of beam functions and polynomials and moment expressions composed of polynomials. The results of the thesis are in good agreement with experimental results. Author