Exact solutions for vibration of stepped circular cylindrical shells
Exact solutions for vibration of stepped circular cylindrical shells
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DOI：
10.1016/j.jsv.2006.07.033
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发表时间：
2007-02
影响因子：
4.7
通讯作者：
Lei Zhang;Y. Xiang
中科院分区：
文献类型：
--
作者：
Lei Zhang;Y. Xiang
本文基于Flügge薄壳理论，给出了厚度沿轴向呈阶梯变化的圆柱壳振动的精确解。壳体在厚度变化的位置处被细分为多个段。采用状态空间法推导了壳段的齐次微分方程，并采用区域分解法沿壳段界面沿着施加平衡和协调要求。为了确保目前的结果的正确性，与一个文件可在公开文献中的Donnell-Mushtari理论的基础上进行比较。该方法可以分析具有各种端部边界条件组合的壳体。此外，壳的厚度比，位置的阶梯式厚度变化和阶梯厚度比的固有频率和振型的影响进行了检查。精确的振动结果可以作为重要的基准值，为研究人员，以验证他们的数值方法，这样的圆柱壳。
Based on the Flügge thin shell theory, this paper presents exact solutions for the vibration of circular cylindrical shells with step-wise thickness variations in the axial direction. The shell is sub-divided into multiple segments at the locations of thickness variations. The state-space technique is adopted to derive the homogenous differential equations for a shell segment and domain decomposition method is employed to impose the equilibrium and compatibility requirements along the interfaces of the shell segments. To ensure the correctness of the present results, comparisons are made with one paper available in the open literature based on the Donnell–Mushtari theory. Shells with various combinations of end boundary conditions can be analyzed by the proposed method. Furthermore, the influences of the shell thickness ratios, locations of step-wise thickness variations and step thickness ratios on the natural frequencies and mode shapes are examined. The exact vibration results can serve as important benchmark values for researchers to validate their numerical methods for such circular cylindrical shells.