Dynamic behavior of cylindrical shell structures is an important research topic since they have been extensively used in practical engineering applications. However, the dynamic analysis of circular cylindrical shells with general boundary conditions is rarely studied in the literature probably because of a lack of viable analytical or numerical techniques. In addition, the use of existing solution procedures, which are often only customized for a specific set of different boundary conditions, can easily be inundated by the variety of possible boundary conditions encountered in practice. For instance, even only considering the classical (homogeneous) boundary conditions, one will have a total of 136 different combinations. In this investigation, the flexural and in-plane displacements are generally sought, regardless of boundary conditions, as a simple Fourier series supplemented by several closed-form functions. As a result, a unified analytical method is generally developed for the vibration analysis of circular cylindrical shells with arbitrary boundary conditions including all the classical ones. The Rayleigh-Ritz method is employed to find the displacement solutions. Several examples are given to demonstrate the accuracy and convergence of the current solutions. The modal characteristics and vibration responses of elastically supported shells are discussed for various restraining stiffnesses and configurations. Although the stiffness distributions are here considered to be uniform along the circumferences, the current method can be readily extended to cylindrical shells with nonuniform elastic restraints.
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August 2012
Research Papers
Dynamic Analysis of Circular Cylindrical Shells With General Boundary Conditions Using Modified Fourier Series Method
Lu Dai,
Lu Dai
College of Power and Energy Engineering,
Harbin Engineering University
, Harbin 150001, People’s Republic of China
Search for other works by this author on:
Tiejun Yang,
Tiejun Yang
College of Power and Energy Engineering,
e-mail: yangtiejun@yahoo.cn
Harbin Engineering University
, Harbin 150001, People’s Republic of China
Search for other works by this author on:
W. L. Li,
W. L. Li
Department of Mechanical Engineering,
Wayne State University
, 5050 Anthony Wayne Drive, Detroit, MI 48202-3902
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Jingtao Du,
Jingtao Du
College of Power and Energy Engineering,
Harbin Engineering University
, Harbin 150001, People’s Republic of China
Search for other works by this author on:
Guoyong Jin
Guoyong Jin
College of Power and Energy Engineering,
Harbin Engineering University
, Harbin 150001, People’s Republic of China
Search for other works by this author on:
Lu Dai
College of Power and Energy Engineering,
Harbin Engineering University
, Harbin 150001, People’s Republic of China
Tiejun Yang
College of Power and Energy Engineering,
Harbin Engineering University
, Harbin 150001, People’s Republic of China
e-mail: yangtiejun@yahoo.cn
W. L. Li
Department of Mechanical Engineering,
Wayne State University
, 5050 Anthony Wayne Drive, Detroit, MI 48202-3902
Jingtao Du
College of Power and Energy Engineering,
Harbin Engineering University
, Harbin 150001, People’s Republic of China
Guoyong Jin
College of Power and Energy Engineering,
Harbin Engineering University
, Harbin 150001, People’s Republic of China
J. Vib. Acoust. Aug 2012, 134(4): 041004 (12 pages)
Published Online: May 31, 2012
Article history
Received:
January 9, 2011
Revised:
September 27, 2011
Published:
May 29, 2012
Online:
May 31, 2012
Citation
Dai, L., Yang, T., Li, W. L., Du, J., and Jin, G. (May 31, 2012). "Dynamic Analysis of Circular Cylindrical Shells With General Boundary Conditions Using Modified Fourier Series Method." ASME. J. Vib. Acoust. August 2012; 134(4): 041004. https://doi.org/10.1115/1.4005833
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