A Unified Approach of Free Vibration Analysis for Stiffened Cylindrical Shell with General Boundary Conditions

A Unified Approach of Free Vibration Analysis for Stiffened Cylindrical Shell with General Boundary Conditions

A unified approach of free vibration analysis for stiffened cylindrical shell with general boundary conditions is presented in this paper. The vibration of stiffened cylindrical shell is modeled mathematically involving the first-order shear deformation shell theory. The improved Fourier series is s...

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Main Authors: Xue-Qin Li, Wei Zhang, Xiao-Dong Yang, Lu-Kai Song
Format: Article
Language:English
Published: Hindawi Limited 2019-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2019/4157930
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spelling doaj-6079075a3e264a0680c291d8b2a114472020-11-24T22:12:26ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472019-01-01201910.1155/2019/41579304157930A Unified Approach of Free Vibration Analysis for Stiffened Cylindrical Shell with General Boundary ConditionsXue-Qin Li0Wei Zhang1Xiao-Dong Yang2Lu-Kai Song3College of Mechanical Engineering, Beijing University of Technology, Beijing 100124, ChinaCollege of Mechanical Engineering, Beijing University of Technology, Beijing 100124, ChinaCollege of Mechanical Engineering, Beijing University of Technology, Beijing 100124, ChinaSchool of Energy and Power Engineering, Beihang University, Beijing 100191, ChinaA unified approach of free vibration analysis for stiffened cylindrical shell with general boundary conditions is presented in this paper. The vibration of stiffened cylindrical shell is modeled mathematically involving the first-order shear deformation shell theory. The improved Fourier series is selected as the admissible displacement function while the arbitrary boundary conditions are simulated by adjusting the equivalent spring stiffness. The natural frequencies and modal shapes of the stiffened shell are obtained by solving the dynamic model with the Rayleigh-Ritz procedure. Various numerical results of free vibration analysis for stiffened cylindrical shell are obtained, including natural frequencies and modes under simply supported, free, and clamped boundary conditions. Moreover, the effects of stiffener on natural frequencies are discussed. Compared with several state-of-the-art methods, the feasibility and validity of the proposed method are verified.http://dx.doi.org/10.1155/2019/4157930
collection DOAJ
language English
format Article
sources DOAJ
author Xue-Qin Li
Wei Zhang
Xiao-Dong Yang
Lu-Kai Song
spellingShingle Xue-Qin Li
Wei Zhang
Xiao-Dong Yang
Lu-Kai Song
A Unified Approach of Free Vibration Analysis for Stiffened Cylindrical Shell with General Boundary Conditions
Mathematical Problems in Engineering
author_facet Xue-Qin Li
Wei Zhang
Xiao-Dong Yang
Lu-Kai Song
author_sort Xue-Qin Li
title A Unified Approach of Free Vibration Analysis for Stiffened Cylindrical Shell with General Boundary Conditions
title_short A Unified Approach of Free Vibration Analysis for Stiffened Cylindrical Shell with General Boundary Conditions
title_full A Unified Approach of Free Vibration Analysis for Stiffened Cylindrical Shell with General Boundary Conditions
title_fullStr A Unified Approach of Free Vibration Analysis for Stiffened Cylindrical Shell with General Boundary Conditions
title_full_unstemmed A Unified Approach of Free Vibration Analysis for Stiffened Cylindrical Shell with General Boundary Conditions
title_sort unified approach of free vibration analysis for stiffened cylindrical shell with general boundary conditions
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2019-01-01
description A unified approach of free vibration analysis for stiffened cylindrical shell with general boundary conditions is presented in this paper. The vibration of stiffened cylindrical shell is modeled mathematically involving the first-order shear deformation shell theory. The improved Fourier series is selected as the admissible displacement function while the arbitrary boundary conditions are simulated by adjusting the equivalent spring stiffness. The natural frequencies and modal shapes of the stiffened shell are obtained by solving the dynamic model with the Rayleigh-Ritz procedure. Various numerical results of free vibration analysis for stiffened cylindrical shell are obtained, including natural frequencies and modes under simply supported, free, and clamped boundary conditions. Moreover, the effects of stiffener on natural frequencies are discussed. Compared with several state-of-the-art methods, the feasibility and validity of the proposed method are verified.
url http://dx.doi.org/10.1155/2019/4157930
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