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THE EXACT COSINE FOURIER SERIES SEMI-INVERSE APPROACH IN MODELLING OF THE STATIC BENDING OF THE SANDWICH STRIP

机译:精确的余弦傅立叶系列半逆方法在夹层条带静态弯曲的建模中

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The sinus Fourier series has widely been applied for modelling the deflections of laminated and sandwich structural members within so-called exact semi-inverse approach. It was possible since functions of the series satisfy the end (edge) boundary conditions of the hinged structures. Several sinus series solutions to boundary problems for different types of the constitutive laws of the layers and for the hinged structures have been obtained by several authors. In this paper a new so-called exact solution to the static bending problem of the sandwich strip composed of isotropic layers is reported. The solution was obtained by using (probably for the first time) the cosine Fourier series within the semi-inverse approach. Due to application of the cosine series a new type of edge boundary conditions was introduced. The boundary conditions correspond with a technical solution enabling to carry the bending moment. Some numerical results predicted by the new solution are presented and compared with other corresponding results for the clamped-clamped sandwich strip.
机译:窦傅里叶系列已广泛应用于在所谓的精确半逆方法内建模层压和夹层结构构件的偏转。由于该系列的功能满足铰接结构的末端(边缘)边界条件,因此可能是可能的。几个作者获得了几种对不同类型的边界问题以及不同类型的界限问题的解决方案以及铰接结构的界限问题已经获得。本文报道了一种新的所谓的精确解决方案,对由各向同性层组成的夹层条的静态弯曲问题。通过在半逆方法内使用(可能是第一次)余弦傅里叶系列来获得解决方案。由于余弦系列的应用,引入了一种新型的边缘边界条件。边界条件对应于能够携带弯矩的技术方案。提出了新解决方案预测的一些数值结果,并与夹紧夹紧的夹心条带的其他相应结果进行了比较。

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