A Domain Decomposition Method for Forced Vibration Analysis of Joined Conical-Cylindrical-Spherical Shell

Abstract:

Based upon the Reissner-Naghdi-Berry shell theory, a semi-analytical domain decomposition method is presented to analyze the forced vibration of a joined conical-cylindrical-spherical shell with general boundary conditions. The joined shell was divided into some conical, cylindrical and spherical shell segments along the axis of revolution. The constraint equations derived from interface continuity conditions between two adjacent shell segments were introduced into the energy functional of the joined shell. Displacement variables of each shell segment are expressed as a mixed double series in the forms of Fourier series in the circumferential direction and Chebyshev orthogonal polynomial in the longitudinal direction. The forced vibration response of the joined shells subjected to various harmonic excitations and boundary conditions was calculated and compared with those FEM results obtained by finite element software ANSYS to confirm the reliability and accuracy of this analytical solution.

• Periodical: Applied Mechanics and Materials (Volumes 184-185)
• Pages: 3-10
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.184-185.3
• Online since: June 2012
• Authors: Shi Hao Wu, Ye Gao Qu, Hong Xing Hua
• Keywords: Domain Decomposition, Forced Vibration, Joined Conical-Cylindrical-Spherical Shell, Least-Squares Weighted Residual Method, Subdomain Generalized Variational Principle

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