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Natural frequencies and mode shapes of laminated composite skew hypar shells with complicated boundary conditions using finite element method

机译:采用有限元法,具有复杂边界条件的层压复合偏斜高乳壳的自然频率和模式形状

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In the present investigation, free vibration behaviour is studied for the laminated composite skew hypar shells having twist radius of curvature. A higher-order shear deformation theory (HSDT) is employed using the Co finite element formulation. Higher-order terms in the Taylor's series expansion are used to represent the higher-order transverse cross sectional deformation modes. The formulation includes Sanders' approximation for doubly curved shells considering the effect of transverse shear. The structural system is considered to be undamped. The effects of different parameters are studied on the free vibration aspects of laminated composite skew hypar shells. Effect of cross curvature is included in the formulation. The Co finite element formulation has been done quite efficiently to overcome the problem of Ci continuity associated with the HSDT. The isoparametric FE used in the present model consists of nine nodes with seven nodal unknowns per node. Since there is no result available in the literature based on HSDT on the problem of free vibration of laminated composite skew hypar shells, the correctness of the present formulation is established by comparing problems of laminated composite hypar shells without skew angle and with the laminated composite skew plates available in the published literature. New results are presented by varying geometry, boundary conditions, ply orientations and skew angles which will serve as benchmark for future researchers.
机译:在本研究中,无振动行为研究了具有曲率半径捻的叠层复合偏斜hypar壳。较高阶剪切变形理论(HSDT)是利用钴有限元配方中使用。在泰勒级数展开高阶项被用来表示高次横截面变形模式。所述制剂包括Sanders的近似考虑的横向剪切效果双曲壳。该结构体系被认为是无阻尼。不同参数的影响进行了研究上层压复合偏斜hypar壳的自由振动的方面。被包括在制剂中的横向弧形的效果。联合有限元配方已经做得相当有效地克服与HSDT关联词连续性的问题。在本模型中使用的参FE由与每个节点7个节点未知9个节点。由于没有在基于HSDT上层压复合偏斜hypar壳的自由振动的问题的文献中获得的结果,本发明制剂的正确性是通过比较复合材料层合hypar壳的问题,而无需倾斜角,并与复合材料层合歪斜建立在公开的文献中获得的板。新的结果是由不同的几何形状,边界条件,板层方向和偏斜角将作为基准,未来的研究者提出。

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