<正> A new two-eigenfunctions theory, using theamplitude deflection and the generalized curvature as twofundamental eigenfunctions, is proposed for the freevibration solutions of a rectangular Mindlin plate. The threeclassical eigenvalue differential equations of a Mindlin plateare reformulated to arrive at two new eigenvalue differentialequations for the proposed theory. The closed form eigen-solutions,which are solved from the two differential equationsby means of the method of separation of variables arei...
【英文摘要】
A new two-eigenfunctions theory, using the amplitude deflection and the generalized curvature as two fundamental eigenfunctions, is proposed for the free vibration solutions of a rectangular Mindlin plate. The three classical eigenvalue differential equations of a Mindlin plate are reformulated to arrive at two new eigenvalue differential equations for the proposed theory. The closed form eigen-solutions, which are solved from the two differential equations by means of the method of separation of variables ...
【基金】
supported by the National Natural Science Foundation of China (10772014)
【更新日期】
2010-09-13
【分类号】
O302
【正文快照】
1 IlltroduCtionA Plate 15 one of the most imPortant structural elements,its theoretical deseriPtions were established by Chladni[l]and瓦rchhoff!2].Since then,there have been extensiveinvestigations on the vibrations ofPlateswithvariousshaPes,suPPorts,load
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