平板的三维分析
Three-Dimensional Analysis on Plates
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摘要: 本文对平板的位移进行适当的假定,求得了三维Navier方程的解,并分析了平板的板面条件;在实例中,我们应用Navier方程的解求解了平板的边值问题,得到了封闭解.这里的结果严格地满足控制方程,能精确地反映边界上应力分布复杂的边界效应.Abstract: The displacements of the plate are assumed appropriately to derive the solutionsof the 3-D Navier equations. And the conditions on the plate’s surface are investigaled.In the examples. the boundary-value problems of the plate are solved by applying theNavier-equation's solutions and their closed-form solutions are obtained. The resultsformulated in the present paper satisfy exactly the governing equations and can reflectprecisely the boundary effects of complicated distributions on the edge of plates.
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Key words:
- plate /
- thick plate /
- displacement method /
- boundary-value problems /
- Navier equation
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