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Free vibration analysis of truncated conical fiber metal laminate (FML) shells

机译:截锥形纤维金属层压板(FML)壳体的自由振动分析

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In this paper, an analytical solution is developed for free vibration analysis of conical fiber metal shells. In order to find constitutive relations, the assumptions of thins hells are used and the governing equations are based on Love's theory. The Galerkin method is employed to solve the governing equations in which beam functions are used to approximate the mode shapes. Using beam functions enables us to assess the effects of different boundary conditions on the frequency response of the shells. Numerical comparisons of the present and previously published results confirm the accuracy of the current approach. Additionally, the influences of geometrical parameters and embedding aluminum plies in different layers of the structure on natural frequency of the conical shells with various boundary conditions are investigated. It can be observed that the more the aluminum plies are used, the greater natural frequency of the structure will be reached. Except the clamped-free boundary conditions, the results also indicate that if the aluminum plies are embedded in the top and bottom layers of the laminate, natural frequency reaches its maximum value.
机译:本文为圆锥形纤维金属壳的自由振动分析开发了一种解析解决方案。为了找到本构关系,使用了稀薄地狱的假设,并且控制方程是基于洛夫理论的。 Galerkin方法用于求解控制方程,其中束函数用于近似模态。使用梁函数使我们能够评估不同边界条件对壳体频率响应的影响。目前和以前发表的结果的数值比较证实了当前方法的准确性。此外,研究了几何参数以及在结构的不同层中嵌入铝层对不同边界条件下圆锥壳固有频率的影响。可以观察到,使用的铝层越多,结构的固有频率就越高。除了不受约束的边界条件外,结果还表明,如果将铝帘布层嵌入层压板的顶层和底层,则固有频率将达到最大值。

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