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Bending analysis of classical symmetric laminated composite plates by the strip element method

机译:条形单元法分析经典对称层合板的弯曲

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摘要

A new formulation of strip element method based on classical laminated plate theory is derived for the bending analysis of laminated composite plates. In this method, an infinite-length plate is first considered and is discretized into a set of strip elements in the width direction. The principle of minimum potential energy is applied to obtain the ordinary differential equations, which are functions of only the coordinate in the length direction. These differential equations can then be solved analytically. The boundary conditions on the length coordinate direction are finally used to determine the deflection distribution in the plate. The strip element solutions are presented for a rectangular laminated composite plate with various boundary conditions and load cases. The solutions are compared with those of the Rayleigh-Ritz method, and very good agreement is obtained.
机译:推导了基于经典层合板理论的条形单元法新公式,用于层合复合板的弯曲分析。在这种方法中,首先考虑一个无限长的板,并将其在宽度方向上离散为一组带状元素。应用最小势能原理获得常微分方程,该常微分方程仅是长度方向上坐标的函数。然后可以解析地求解这些微分方程。最后,使用长度坐标方向上的边界条件确定板中的挠度分布。针对具有不同边界条件和载荷工况的矩形层压复合板,提出了条形单元解决方案。将这些解决方案与Rayleigh-Ritz方法的解决方案进行了比较,并获得了很好的一致性。

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