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Free Vibration Analysis of Cylindrical Shells Supported on Parts of the Edges

机译：边缘部分支撑的圆柱壳的自由振动分析

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摘要

Numerical studies of the free vibration analysis of open skewed circular cylindrical shells supported only on selected segments of the straight edges are presented in this paper. The uniform thickness shell geometry is defined by the radius, subtended angle and the length, all with reference to the middle surface. The open skewed circular cylindrical shell is modeled by dividing the reference surface into few patches and introducing upon them displacement nodal points and also five degrees of freedom in accordance with the first order shear deformable shell theory are assigned to each of these nodal points. The free vibration analysis of the shell structure is performed using two types of interpolating polynomials, viz. simple high order algebraic and Bezier, respectively. The number of nodal points per patch determines the order of the displacement polynomials. As a consequence considerably high-order polynomials are used in computations for the accurately converged results. Convergence studies are carried out to validate the method for cases in which the skewed cylindrical shell is supported only on the third of each of the two straight edges. Additionally, the performance of the present method is assessed and discussed by comparing frequency results with those from standard finite element methods using linear and parabolic quadrilateral elements.
机译：本文介绍了仅在直边的选定部分上支撑的开偏斜圆柱壳的自由振动分析的数值研究。厚度均匀的外壳几何形状由半径，对向角度和长度（均以中间表面为基准）定义。通过将基准面划分为几个小块，并在其上引入位移节点，来模拟开斜的圆形圆柱壳，并且还将根据一阶剪切可变形壳理论的五个自由度分配给这些节点中的每一个。壳体结构的自由振动分析是使用两种插值多项式进行的，即。简单高阶代数和贝塞尔曲线。每个面片的节点数确定位移多项式的顺序。结果，在计算中使用了高阶多项式来获得精确收敛的结果。进行收敛性研究以验证偏斜圆柱壳仅支撑在两个直边中的每个直边中的第三个边的情况下的方法。另外，通过将频率结果与使用线性和抛物线四边形元素的标准有限元方法的频率结果进行比较，来评估和讨论本方法的性能。

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