Vibration analysis of ring stiffened cylindrical-conical shell structures based on a domain decomposition method
Received:October 26, 2011  Revised:March 23, 2012
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KeyWord:domain decomposition  subdomain generalized variational principle  least-squares weighted residual method  ring stiffened cylindrical-conical shell  free vibration  forced vibration
瞿叶高 上海交通大学 机械系统与振动国家重点实验室, 上海
谌勇 上海交通大学 机械系统与振动国家重点实验室, 上海
龙新华 上海交通大学 机械系统与振动国家重点实验室, 上海
华宏星 上海交通大学 机械系统与振动国家重点实验室, 上海
孟光 上海交通大学 机械系统与振动国家重点实验室, 上海
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      A domain decomposition approach is proposed for vibration analysis of ring stiffened cylindrical-conical shell (CCS) structures subjected to various boundary conditions.A stiffened CCS is divided into some stiffened-cylindrical and conical shell segments along the locations of the junctions and the geometry boundaries.The ring stiffeners are treated as discrete elements.The energy functional of a stiffened-cylindrical shell segment is obtained by appending the kinetic energy and strain energy of the rings to that of the attached shell from geometrical continuity considerations.All interface continuity constraints are incorporated into the system potential functional by means of a subdomain generalized variational principle and least-squares weighted residual method.Double mixed series,i.e.the Fourier series and Chebyshev orthogonal polynomials,are adopted as assumed admissible displacement functions for each shell segment.Free and forced vibrations of stiffened CCSs are examined under free-free,free-clamped and clamped-clamped boundary conditions.The numerical results obtained from the present method show good agreement with those from the finite element program ANSYS.The present solution is very efficient,robust and accurate.