A Study on the Free Vibration of the Joined Cylindrical-Spherical Shell Structures

Author(s):  
Y.S. Lee ◽  
M.S. Yang ◽  
H.S. Kim
2002 ◽  
Vol 80 (27-30) ◽  
pp. 2405-2414 ◽  
Author(s):  
Young-Shin Lee ◽  
Myung-Seog Yang ◽  
Hyun-Soo Kim ◽  
Jae-Hoon Kim

2019 ◽  
Vol 2019 ◽  
pp. 1-18 ◽  
Author(s):  
Fuzhen Pang ◽  
Cong Gao ◽  
Jie Cui ◽  
Yi Ren ◽  
Haichao Li ◽  
...  

This paper describes a unified solution to investigate free vibration solutions of functionally graded (FG) spherical shell with general boundary restraints. The analytical model is established based on the first-order shear deformation theory, and the material varies uniformly along the thickness of FG spherical shell which is divided into several sections along the meridian direction. The displacement functions along circumferential and axial direction are, respectively, composed by Fourier series and Jacobi polynomial regardless of boundary restraints. The boundary restraints of FG spherical shell can be easily simulated according to penalty method of spring stiffness technique, and the vibration solutions are obtained by Rayleigh–Ritz method. To verify the reliability and accuracy of the present solutions, the convergence and numerical verification have been conducted about different boundary parameters, Jacobi parameter, etc. The results obtained by the present method closely agree with those obtained from the published literatures, experiments, and finite element method (FEM). The impacts of geometric dimensions and boundary conditions on the vibration characteristics of FG spherical shell structure are also presented.


1993 ◽  
Vol 115 (1) ◽  
pp. 70-74 ◽  
Author(s):  
D. N. Paliwal ◽  
V. Bhalla

Large amplitude free vibrations of a clamped shallow spherical shell on a Pasternak foundation are studied using a new approach by Banerjee, Datta, and Sinharay. Numerical results are obtained for movable as well as immovable clamped edges. The effects of geometric, material, and foundation parameters on relation between nondimensional frequency and amplitude have been investigated and plotted.


RSC Advances ◽  
2014 ◽  
Vol 4 (90) ◽  
pp. 49000-49005 ◽  
Author(s):  
Xun Song ◽  
Siwei Yang ◽  
Lin He ◽  
Shuai Yan ◽  
Fang Liao

Ultra-flyweight hydrophobic poly(mphenylenediamine) aerogel which can be used as high-performance selective adsorbent for oil contamination was fabricated via a simple two step approach from a poly(m-phenylenediamine) micro-spherical shell.


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