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Free and forced vibration analysis of coupled conical–cylindrical shells with arbitrary boundary conditions

Free and forced vibration analysis of coupled conical–cylindrical shells with arbitrary boundary conditions
Free and forced vibration analysis of coupled conical–cylindrical shells with arbitrary boundary conditions
This paper presents a free and forced vibration analysis of coupled conical–cylindrical shells with arbitrary boundary conditions using a modified Fourier–Ritz method. Under the current framework, regardless of the boundary conditions, each of the displacement components of both the conical and cylindrical shells are expanded invariantly as a modified Fourier series, which is composed of a standard Fourier series and closed-form supplementary functions introduced to accelerate the convergence of the series expansion and remove all the relevant discontinuities at the boundaries and the junction between the two shell components. All the expansion coefficients are determined by using the Rayleigh–Ritz method as the generalized coordinates. By using the present method, a unified solution for the coupled conical–cylindrical shells with classical and non-classical boundary conditions can be directly derived without the need of changing either the equations of motion or the expressions of the displacements. The reliability and accuracy of the present method are validated by comparison with FEM results and those from the literature. Studies on the effects of dimensional and elastic restraint parameters on the free vibrations are also reported. Investigation on vibration of the conical–cylindrical–conical shell combination shows the extensive applicability of present method for more complex shell combinations. New numerical examples are also conducted to illustrate the forced vibration behavior of the coupled conical–cylindrical shell subjected to the excitation forces in different directions.
vibration analysis, coupled conical–cylindrical shells, modified fourier series, arbitrary boundary conditions
0020-7403
122-137
Ma, Xianglong
b423dc41-43a3-4ca2-838f-11389d3c042c
Jin, Guoyong
e69b06df-a8aa-43a4-a3bf-578903b5aa0d
Xiong, Yeping
51be8714-186e-4d2f-8e03-f44c428a4a49
Liu, Zhigang
ad3cf392-c978-4476-b469-910850460823
Ma, Xianglong
b423dc41-43a3-4ca2-838f-11389d3c042c
Jin, Guoyong
e69b06df-a8aa-43a4-a3bf-578903b5aa0d
Xiong, Yeping
51be8714-186e-4d2f-8e03-f44c428a4a49
Liu, Zhigang
ad3cf392-c978-4476-b469-910850460823

Ma, Xianglong, Jin, Guoyong, Xiong, Yeping and Liu, Zhigang (2014) Free and forced vibration analysis of coupled conical–cylindrical shells with arbitrary boundary conditions. International Journal of Mechanical Sciences, 88, 122-137. (doi:10.1016/j.ijmecsci.2014.08.002).

Record type: Article

Abstract

This paper presents a free and forced vibration analysis of coupled conical–cylindrical shells with arbitrary boundary conditions using a modified Fourier–Ritz method. Under the current framework, regardless of the boundary conditions, each of the displacement components of both the conical and cylindrical shells are expanded invariantly as a modified Fourier series, which is composed of a standard Fourier series and closed-form supplementary functions introduced to accelerate the convergence of the series expansion and remove all the relevant discontinuities at the boundaries and the junction between the two shell components. All the expansion coefficients are determined by using the Rayleigh–Ritz method as the generalized coordinates. By using the present method, a unified solution for the coupled conical–cylindrical shells with classical and non-classical boundary conditions can be directly derived without the need of changing either the equations of motion or the expressions of the displacements. The reliability and accuracy of the present method are validated by comparison with FEM results and those from the literature. Studies on the effects of dimensional and elastic restraint parameters on the free vibrations are also reported. Investigation on vibration of the conical–cylindrical–conical shell combination shows the extensive applicability of present method for more complex shell combinations. New numerical examples are also conducted to illustrate the forced vibration behavior of the coupled conical–cylindrical shell subjected to the excitation forces in different directions.

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More information

e-pub ahead of print date: 9 August 2014
Published date: November 2014
Keywords: vibration analysis, coupled conical–cylindrical shells, modified fourier series, arbitrary boundary conditions
Organisations: Fluid Structure Interactions Group

Identifiers

Local EPrints ID: 369509
URI: http://eprints.soton.ac.uk/id/eprint/369509
ISSN: 0020-7403
PURE UUID: e640722f-7086-48a9-b996-2cc4c9db2261
ORCID for Yeping Xiong: ORCID iD orcid.org/0000-0002-0135-8464

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Date deposited: 29 Sep 2014 14:08
Last modified: 26 Nov 2019 01:52

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Contributors

Author: Xianglong Ma
Author: Guoyong Jin
Author: Yeping Xiong ORCID iD
Author: Zhigang Liu

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