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Indexed by:期刊论文

Date of Publication:2017-11-01

Journal:THIN-WALLED STRUCTURES

Included Journals:Scopus、SCIE、EI

Volume:120

Page Number:236-248

ISSN No.:0263-8231

Key Words:Hamiltonian system; Symplectic method; Exact solution; Functionally graded orthotropic circular cylindrical shell; Natural frequency

Abstract:Exact solutions for free vibration of functionally graded (FG) orthotropic circular cylindrical shells embedded in an elastic medium with arbitrary classical boundary conditions are obtained by a Hamiltonian-based method. Based on the Reissner shell theory and symplectic mathematics, all six possible general solutions instead of trial functions in classical inverse or semi-inverse methods are determined analytically. The determination of natural frequency and vibration mode shape is reduced to an eigen-problem of the Hamiltonian matrix in symplectic space. Numerical examples are provided to verify the validity of the present method. Some new results are also given.