A modified Fourier spectral element method (SEM) is developed to study vibration behaviors of general built-up systems that consist of various rotationally symmetric structures, including conical, cylindrical, and spherical shells, and annular plates. The substructures are formulated as spectral elements based on the type of elementary structure. These spectral elements can be easily assembled using three-dimensional elastic couplers at the interfaces to coordinate the forces and moments of adjacent substructures with respect to a cylindrical coordinate system. A modified Fourier series that can adapt general coupling and boundary conditions is used to describe the displacement components of each spectral element. The generalized variation of the expansion coefficients yields the vibration equations of the built-up system. The convergence and accuracy of the method are validated through several numerical examples for various shell and plate combinations. The dynamic behaviors of the rotationally symmetric built-up structures are investigated by modal and forced vibration analysis. The method can predict the vibration responses of rotationally symmetric, built-up structures with low computational cost.
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April 2017
Research-Article
Dynamic Analysis of General Rotationally Symmetric Built-Up Structures Using a Modified Fourier Spectral Element Approach
Guoyong Jin,
Guoyong Jin
College of Power and Energy Engineering,
Harbin Engineering University,
Harbin 150001, China
e-mail: guoyongjin@hrbeu.edu.cn
Harbin Engineering University,
Harbin 150001, China
e-mail: guoyongjin@hrbeu.edu.cn
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Xianglong Ma,
Xianglong Ma
College of Power and Energy Engineering,
Harbin Engineering University,
Harbin 150001, China
Harbin Engineering University,
Harbin 150001, China
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Zhigang Liu,
Zhigang Liu
College of Power and Energy Engineering,
Harbin Engineering University,
Harbin 150001, China
Harbin Engineering University,
Harbin 150001, China
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Lingkuang Xuan
Lingkuang Xuan
National Key Laboratory on
Ship Vibration and Noise,
China Ship Development and Design Center,
Wuhan 430064, China
Ship Vibration and Noise,
China Ship Development and Design Center,
Wuhan 430064, China
Search for other works by this author on:
Guoyong Jin
College of Power and Energy Engineering,
Harbin Engineering University,
Harbin 150001, China
e-mail: guoyongjin@hrbeu.edu.cn
Harbin Engineering University,
Harbin 150001, China
e-mail: guoyongjin@hrbeu.edu.cn
Xianglong Ma
College of Power and Energy Engineering,
Harbin Engineering University,
Harbin 150001, China
Harbin Engineering University,
Harbin 150001, China
Zhigang Liu
College of Power and Energy Engineering,
Harbin Engineering University,
Harbin 150001, China
Harbin Engineering University,
Harbin 150001, China
Lingkuang Xuan
National Key Laboratory on
Ship Vibration and Noise,
China Ship Development and Design Center,
Wuhan 430064, China
Ship Vibration and Noise,
China Ship Development and Design Center,
Wuhan 430064, China
1Corresponding author.
Contributed by the Technical Committee on Vibration and Sound of ASME for publication in the JOURNAL OF VIBRATION AND ACOUSTICS. Manuscript received August 20, 2016; final manuscript received November 8, 2016; published online February 17, 2017. Assoc. Editor: Matthew Brake.
J. Vib. Acoust. Apr 2017, 139(2): 021012 (13 pages)
Published Online: February 17, 2017
Article history
Received:
August 20, 2016
Revised:
November 8, 2016
Citation
Jin, G., Ma, X., Liu, Z., and Xuan, L. (February 17, 2017). "Dynamic Analysis of General Rotationally Symmetric Built-Up Structures Using a Modified Fourier Spectral Element Approach." ASME. J. Vib. Acoust. April 2017; 139(2): 021012. https://doi.org/10.1115/1.4035226
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