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Buckling of symmetric cross-ply square plates with various boundary conditions

机译：具有不同边界条件的对称正交方形板的屈曲

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摘要

The buckling analysis of cross-ply laminated square plates subjected to three types of in-plane forces and various edge boundary conditions is presented on the basis of a unified five-degree-of-freedom shear deformable plate theory. The employment of the appropriate "shear deformation shape functions" in the theory leads to certain shear deformable plate theories developed previously, also, fulfills the requirement of the continuity conditions among the layers. The governing equations of buckling behaviour of completely simply supported cross-ply laminated plates are solved analytically. For the plates with different combinations of free, clamped and simply supported boundary conditions at their edges, the Ritz method is applied by assuming the displacement components as the double series of simple algebraic polynomials. The numerical results obtained on the basis of various plate theories for uniaxial, biaxial compression and compression-tension types of loading and different length-to-thickness ratios are presented and compared with the ones available in the literature.
机译：基于统一的五自由度剪切可变形板理论，对交叉叠层方形板在三种平面内力和各种边缘边界条件下的屈曲进行了分析。在理论上采用适当的“剪切变形形状函数”会导致先前发展的某些剪切可变形板理论，也满足了层间连续性条件的要求。通过解析求解完全简单支撑的交叉层压板的屈曲行为的控制方程。对于在边缘处具有自由，夹紧和简单支撑边界条件的不同组合的板，通过将位移分量假定为简单代数多项式的双序列来应用Ritz方法。给出了基于各种板理论对载荷的单轴，双轴压缩和压缩拉伸类型以及不同的长厚比的数值结果，并将其与文献中的数值结果进行了比较。

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