Exact solutions for free vibration of circular cylindrical shells with classical boundary conditions
Exact solutions for free vibration of circular cylindrical shells with classical boundary conditions
复制标题
经典边界条件下圆柱壳自由振动的精确解
DOI：
10.1016/j.ijmecsci.2013.06.005
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发表时间：
2013-10
影响因子：
7.3
通讯作者：
Tengfei Xu
中科院分区：
文献类型：
--
作者：
Yufeng Xing;Bo Liu;Tengfei Xu
众所周知，除了所有边缘都是剪切隔膜外，在经典边界条件下获得圆柱壳自由振动的精确解是困难或不可能的。这项工作提出了基于 Donnell-Mushtari 壳理论的精确解。它们的形式简单而紧凑，并不像人们普遍认为的那么复杂。计算出的固有频率与文献中的固有频率以及本研究中开发的高精度半解析微分求积有限元方法的固有频率非常一致。精确的解可以作为研究人员检查其数值方法和工程师设计此类壳结构的基准。对于某些边界条件，四个特征值中的两个比其他两个大得多。还给出了圆柱壳的高精度膜近似解。
The obtaining of exact solutions for free vibration of circular cylindrical shells with classical boundary conditions, except for all edges being shear diaphragm, was known to be difficult or impossible. This work presents those exact solutions based on the Donnell–Mushtari shell theory . They are shown to be in simple and compact form, and not as complex as they have generally been regarded. The computed natural frequencies are in excellent agreement with those in literature and those of the highly accurate semi-analytical differential quadrature finite element method developed in this study. The exact solutions can be used as benchmarks for researchers to check their numerical methods and for engineers to design such shell structures. Two of the four eigenvalues are found to be much larger than the other two for some boundary conditions. High accurate membrane approximate solutions are also presented for the circular cylindrical shells.
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影响因子：
64.8
作者：
L. R. W.
通讯作者：
L. R. W.
DOI：
10.1115/1.3153772
发表时间：
1979
期刊：
Journal of Applied Mechanics
影响因子：
--
作者：
E. B. Magrab;A. Leissa
通讯作者：
E. B. Magrab;A. Leissa
影响因子：
3.6
作者：
J. Callahan;H. Baruh
通讯作者：
J. Callahan;H. Baruh
影响因子：
2.5
作者：
Bert L. Smith;D. Vronay
通讯作者：
Bert L. Smith;D. Vronay
影响因子：
2.5
作者：
E. E. Haft-E.;Bert L. Smith
通讯作者：
E. E. Haft-E.;Bert L. Smith