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Free vibration characteristics of thick doubly curved variable stiffness composite laminated shells using higher-order shear deformation theory

机译:基于高阶剪切变形理论的厚双曲变刚度复合层合壳自由振动特性

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In the present work, the natural frequencies of cylindrical and spherical laminated shells with variable stiffness are numerically studied using a shear flexible isogeometric finite element. The kinematics relies on cubic shear deformation theory in which cubic variation is assumed for the surface displacements and a quadratic variation for the traverse displacement along the thickness. A zig-zag function, used for the in-plane displacements, accounts for the abrupt discontinuity at the boundaries of the laminae. The Lagrangian equations of motion is deployed to solve the frequencies of curved panels. A detailed parametric analysis examines the influence of fibre centre/edge angles, shell geometric variables, material anisotropy and edge conditions on frequencies and mode shapes.
机译:在目前的工作中,使用剪切挠性等几何有限元数值研究了刚度可变的圆柱形和球形叠层壳的固有频率。运动学依赖于三次剪切变形理论,其中假定表面位移为三次方变化,而沿厚度方向的横向位移为二次方变化。用于平面内位移的之字形函数说明了层流边界处的突然间断。拉格朗日运动方程被用来求解弯曲面板的频率。详细的参数分析检查了光纤中心/边缘角度,外壳几何变量,材料各向异性和边缘条件对频率和振型的影响。

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