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首页> 外文会议>SSTA(Shell Structures: Theory and Applications) Conference; 20051012-14; Jurata(PL) >Stability of a rectangular plate with account of transverse shear deformations
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Stability of a rectangular plate with account of transverse shear deformations

机译：考虑横向剪切变形的矩形板的稳定性

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The rectangular plate axially compressed along two opposite edges with a uniform load p = 2hσ_0 is considered. Two different refined theories of plate bending are applied: the refined theory by S.A. Ambartsumyan and the refined theory by E. Reissner. The stability equations resulting from the both theories are rewritten in a unified form. Characteristic equations for several cases are obtained. Neglecting the fourth and higher order terms of relative thickness, approximate expressions for the critical loads are derived. These expressions are also numerically verified for several particular cases. It is shown that, in the most cases, the values of critical load by refined theories may differ from the results of Kirchhoff's theory by a term of the second order of relative thickness of the plate. However, in the problem of localized buckling of semi-infinite stripe-plate it was shown, that account of transverse shear deformations introduces a refinement term of the first order of relative width. For the finite plate, in some special cases of boundary conditions, the refinement term takes the first order of relative width as well.
机译：考虑沿两个相对边缘轴向压缩且载荷均匀的p =2hσ_0的矩形板。应用了两种不同的板弯曲改进理论：S.A。Ambartsumyan的改进理论和E. Reissner的改进理论。由这两种理论得出的稳定性方程式以统一形式重写。得到了几种情况的特征方程。忽略相对厚度的第四和更高阶项，得出了临界载荷的近似表达式。这些表达式还针对几种特殊情况进行了数值验证。结果表明，在大多数情况下，改进理论的临界载荷值可能与基尔霍夫理论的结果存在差异，即板的相对厚度的二阶项。但是，在半无限条形板的局部屈曲问题中，已经表明，考虑横向剪切变形会引入相对宽度的一阶细化项。对于有限板，在某些特殊的边界条件下，细化项也采用相对宽度的一阶。

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