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Buckling of laminated composite and sandwich beams due to axially varying in-plane loads

机译：轴向变化的面内载荷导致层合复合材料和夹层梁的屈曲

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摘要

This paper is dedicated to study the elastic buckling behavior of isotropic, laminated composite and sandwich beams subjected to various axially varying in-plane loads and boundary conditions (BCs). The formulation of the problem is derived by using the Ritz method with the displacement field based on a shear and normal deformable beam theory (SNDBT). Polynomial functions are employed to present the displacement field. The convergence studies are performed and then obtained results are compared with those of reported works. Results from extensive analysis are presented for different BCs, aspect ratios, orthotropy ratios, fiber angles and loading conditions. It is observed that the type of the axially variable in-plane load significantly affects the critical buckling loads and mode shapes of the beams depending on the BCs. The normal deformation effect depends on not only the aspect ratio but also BCs and the fiber orientation angles.
机译：本文致力于研究各向同性，层合复合材料和夹层梁在各种轴向变化的面内载荷和边界条件（BCs）下的弹性屈曲行为。问题的表达是通过基于剪切场和法向可变形梁理论（SNDBT）的位移场使用Ritz方法得出的。多项式函数用于表示位移场。进行收敛研究，然后将获得的结果与已报道的结果进行比较。给出了针对不同BC，长宽比，正交各向异性比，纤维角度和加载条件的广泛分析结果。可以看出，轴向变化的平面内载荷的类型会严重影响梁的临界屈曲载荷和取决于BC的振型。法向变形效果不仅取决于纵横比，而且还取决于BCs和纤维取向角。

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