CLC number: O327; TB633; U663.2
On-line Access: 2024-08-27
Received: 2023-10-17
Revision Accepted: 2024-05-08
Crosschecked: 2016-03-10
Cited: 2
Clicked: 5746
Xiong-liang Yao, Dong Tang, Fu-zhen Pang, Shuo Li. Exact free vibration analysis of open circular cylindrical shells by the method of reverberation-ray matrix[J]. Journal of Zhejiang University Science A, 2016, 17(4): 295-316.
@article{title="Exact free vibration analysis of open circular cylindrical shells by the method of reverberation-ray matrix",
author="Xiong-liang Yao, Dong Tang, Fu-zhen Pang, Shuo Li",
journal="Journal of Zhejiang University Science A",
volume="17",
number="4",
pages="295-316",
year="2016",
publisher="Zhejiang University Press & Springer",
doi="10.1631/jzus.A1500191"
}
%0 Journal Article
%T Exact free vibration analysis of open circular cylindrical shells by the method of reverberation-ray matrix
%A Xiong-liang Yao
%A Dong Tang
%A Fu-zhen Pang
%A Shuo Li
%J Journal of Zhejiang University SCIENCE A
%V 17
%N 4
%P 295-316
%@ 1673-565X
%D 2016
%I Zhejiang University Press & Springer
%DOI 10.1631/jzus.A1500191
TY - JOUR
T1 - Exact free vibration analysis of open circular cylindrical shells by the method of reverberation-ray matrix
A1 - Xiong-liang Yao
A1 - Dong Tang
A1 - Fu-zhen Pang
A1 - Shuo Li
J0 - Journal of Zhejiang University Science A
VL - 17
IS - 4
SP - 295
EP - 316
%@ 1673-565X
Y1 - 2016
PB - Zhejiang University Press & Springer
ER -
DOI - 10.1631/jzus.A1500191
Abstract: This paper is concerned with the free vibration analysis of open circular cylindrical shells with either the two straight edges or the two curved edges simply supported and the remaining two edges supported by arbitrary classical boundary conditions. Based on the donnell-Mushtari-Vlasov thin shell theory, an analytical solution of the traveling wave form along the simply supported edges and the modal wave form along the remaining two edges is obtained. With such a unidirectional traveling wave form solution, the method of the reverberation-ray matrix is introduced to derive the equation of natural frequencies of the shell with different classical boundary conditions. The exact solutions for natural frequencies of the open circular cylindrical shell are obtained with the employment of a golden section search algorithm. The calculation results are compared with those obtained by the finite element method and the methods in the available literature. The influence of length, thickness, radius, included angle, and the boundary conditions of the open circular cylindrical shell on the natural frequencies is investigated. The exact calculation results can be used as benchmark values for researchers to check their numerical methods and for engineers to design structures with thin shell components.
This is a pretty nice work on free vibration analysis of OCCSs using the method of reverberation-ray matrix (MRRM). All the formulations are derived correctly, which are further validated through numerical comparison.
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