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research-article

Free vibration characteristics of a finite ring-stiffened elliptic cylindrical shell

[+] Author and Article Information
Min Fang

School of Naval Architecture and Ocean Engineering, Huazhong University of Science & Technology Luoyu Road 1037, Wuhan, 430074, China
iverson_fm@hust.edu.cn

Xiang Zhu

School of Naval Architecture and Ocean Engineering, Huazhong University of Science & Technology Luoyu Road 1037, Wuhan, 430074, China
zhuxiang@hust.edu.cn

Tianyun Li

School of Naval Architecture and Ocean Engineering, Huazhong University of Science & Technology Luoyu Road 1037, Wuhan, 430074, China
ltyz801@hust.edu.cn

Guanjun Zhang

School of Energy and Power Engineering, Wuhan University of Technology Heping Road 1040, Wuhan, 430063, China
gjzhang_hust@126.com

1Corresponding author.

ASME doi:10.1115/1.4036870 History: Received February 09, 2017; Revised May 02, 2017

Abstract

A theoretical method is employed to study the free vibration characteristics of a finite ring-stiffened elliptic cylindrical shell. Vibration equations of the elliptic cylindrical shell are derived based on Flügge shell theory and the effects of ring stiffeners are evaluated via “smeared” stiffener theory whereby the properties of the stiffeners are averaged over the shell surface. The displacements of the shell are expanded in double Fourier series in the axial and circumferential directions and the circumferential curvature is expanded in single Fourier series in the circumferential direction. The partial differential characteristic equations with variable coefficients are converted into a set of linear equations with constant coefficients which couple with each other about the circumferential modal parameters. The present results of the two degenerated shells show good agreements with available results from literature. The effects of main parameters, including the ellipticity, the shell length ratio, the stiffener’s interval, the stiffener’s depth and the stiffener’s eccentricity, on the free vibration of the ring-stiffened elliptic cylindrical shell are examined in detail. The ellipticity makes the difference between the symmetric and antisymmetric modal frequencies of the shell. The stiffeners have a greater influence on the free vibration at relatively higher order circumferential modal parameters. The circumferential modal parameters corresponding to the fundamental frequency is affected by the ellipticity, shell length, stiffeners interval and depth. The eccentricity of the ring stiffeners has weak effect on the vibration of the structure.

Copyright (c) 2017 by ASME
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