Abstract
First presents a set of high order partial differential equations for elastic rectangular thick plate base on Mindlin theory. The high order partial differential equations were transformed to linear equations by the double finite integral transform method, and then arrives at the theoretical solution of elastic rectangular thick plate with four edges completely clamped support. Only the basic elasticity equations of the thick plate were used and it was not needed to first select the deformation function arbitrarily. Therefore, the solution in the paper is more reasonable. In order to proof the correction of formulations, the numerical results are also presented to comparing with that of the other references.
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