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计算数学 1979
ON THE RELATIONS BETWEEN THICK AND THIN PLATES WITH SIMPLY SUPPORTED EDGES
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Abstract:
A mathematical theory of thick plate is established on another mechanical hypothesis differed from a thin plate. In this paper a statical analysis for thick plate is given. For an arbitrary plate of polygonal shape with simply supported edges it is shown that the solution of thick plate can be "expressed explicitly by that of thin plate. It is then found that the shear forces of thick plate in the Reissner model are identical with those of thin plate, while in the washizu model of thick plate the shear forces as well as bending moments and angular rotations all are same as the classical thin plate tbeory.