Vibration analysis of the coupled doubly-curved revolution shell structures by using Jacobi-Ritz method

2018 ◽  
Vol 135 ◽  
pp. 517-531 ◽  
Author(s):  
Qingshan Wang ◽  
Kwangnam Choe ◽  
Dongyan Shi ◽  
Kinam Sin
2017 ◽  
Vol 2017 ◽  
pp. 1-20 ◽  
Author(s):  
Fuzhen Pang ◽  
Haichao Li ◽  
Kwangnam Choe ◽  
Dongyan Shi ◽  
Kwanghun Kim

This paper presents free and forced vibration analysis of airtight cylindrical vessels consisting of elliptical, paraboloidal, and cylindrical shells by using Jacobi-Ritz Method. In this research, the theoretical model for vibration analysis is formulated by Flügge’s thin shell theory and the solution is obtained by Rayleigh-Ritz method. The vessel structure is divided into shell components (i.e., ellipsoid, parabolic, and cylinder) and their segments, and each displacement field of shell segments is represented by the Jacobi polynomials and the standard Fourier series. The continuous conditions at the interface are modeled by using the spring stiffness technique. The reliability and the accuracy of the present method are verified by comparing the results of the proposed method with the results of the previous literature and the finite element method (FEM). Moreover, some numerical results for free and forced vibration of elliptical-cylindrical-elliptical vessel (ECE vessel) and paraboloidal-cylindrical-elliptical vessel (PCE vessel) are reported.


2021 ◽  
pp. 103028
Author(s):  
Masahito Takezawa ◽  
Yuto Otoguro ◽  
Kohei Matsuo ◽  
Tadahiro Shibutani ◽  
Akio Sakurai ◽  
...  

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