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首页> 外文期刊>Journal of aerospace engineering >New Sinusoidal Higher-Order Theory Including the Zig-Zag Function for Multilayered Composite Beams
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New Sinusoidal Higher-Order Theory Including the Zig-Zag Function for Multilayered Composite Beams

机译：包含Zig-Zag函数的多层复合梁的新正弦高阶理论

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摘要

With the advantage of satisfying zero shear stress conditions on surfaces, the sinusoidal theory has been widely used for static and dynamic analysis of composite laminated structures. Nevertheless, sinusoidal theories accounting for zig-zag effects have hitherto rarely been reported in the literature because zero shear stress conditions on the surfaces will be violated once the existing zig-zag function is taken into account. Thus, a new zig-zag function that can satisfy traction-free boundary conditions has been developed in this paper. Introducing the developed zig-zag function into the sinusoidal model, a new sinusoidal shear deformation beam theory including the zig-zag function has been proposed, which can accurately describe the zig-zag effect. Other higher-order theories and the first-order theory proposed by other investigators are also considered for the evaluation. By investigating the typical bending problems of multilayer beams, comparison of the present results with three-dimensional elasticity solutions and the results obtained independently using other models shows that the proposed model can more precisely produce the displacements and stresses of laminated composite and sandwich beams in comparison with other models considered in this article. (c) 2019 American Society of Civil Engineers.
机译：正弦理论具有满足表面零切应力条件的优点，已被广泛用于复合材料层合结构的静态和动态分析。然而，迄今为止，在文献中很少报道关于之字形效应的正弦理论，因为一旦考虑到现有的之字形函数，就会违反表面的零剪切应力条件。因此，本文开发了一种新的可以满足无牵引边界条件的之字形函数。将已发展的之字形函数引入正弦模型，提出了一种新的包含之字形函数的正弦剪切变形梁理论，可以准确地描述之字形效果。评估还考虑了其​​他高阶理论和其他研究者提出的一阶理论。通过研究多层梁的典型弯曲问题，将本结果与三维弹性解进行比较，以及使用其他模型独立获得的结果表明，所提出的模型可以比较精确地产生层合复合材料和夹层梁的位移和应力与本文考虑的其他模型。 （c）2019美国土木工程师学会。

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