Paper Title:

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

Periodical Applied Mechanics and Materials (Volumes 184 - 185)
Main Theme Frontiers of Mechanical Engineering and Materials Engineering
Edited by Wen-Pei Sung, Jimmy (C.M.) Kao and Ran Chen
Pages 3-10
DOI 10.4028/www.scientific.net/AMM.184-185.3
Citation Shi Hao Wu et al., 2012, Applied Mechanics and Materials, 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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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.