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Buckling of the SSCF rectangular orthotropic plate subjected to linearly varying in-plane loading

机译：承受线性变化面内载荷的SSCF矩形正交异性板的屈曲

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摘要

The paper presents the solution of the buckling problem for an orthotropic rectangular plate having two parallel edges simply supported, one edge clamped and the remaining edge free (the SSCF plate). The plate considered is subjected to a linearly varying in-plane load that can take the form of uniform compression, combination of in-plane bending and uniform compression, or pure in-plane bending. The solution technique involves reduction of the relevant variational buckling equation to a one-dimensional form using the Kantorovich procedure and subsequent application of the generalised Galerkin method. The buckling problems are solved for isotropic and orthotropic plates with various aspect ratios. The analytical solution is verified using the finite-element analysis. The comparisons of computational results demonstrate the appropriateness and efficiency of the approach developed in this work for the calculation of critical loads of composite SSCF plates with various dimensional and stiffness parameters.
机译：本文提出了一种正交各向异性矩形板的屈曲问题的解决方案，该矩形板具有两个简单支撑的平行边，一个边缘被夹紧，而其余的边缘没有支撑（SSCF板）。所考虑的板承受线性变化的平面载荷，该载荷可以采取均匀压缩，平面弯曲和均匀压缩相结合或纯平面弯曲的形式。求解技术涉及使用Kantorovich程序将相关的变分屈曲方程简化为一维形式，以及随后应用广义Galerkin方法。解决了各种纵横比各向同性和正交各向异性板的屈曲问题。使用有限元分析验证了解析解。计算结果的比较表明，在这项工作中开发的方法在计算具有各种尺寸和刚度参数的复合SSCF板的临界载荷时是合适和有效的。

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