Release Time:2019-03-11  Hits:

Indexed by: Journal Article

Date of Publication: 2017-11-01

Journal: THIN-WALLED STRUCTURES

Included Journals: EI、SCIE、Scopus

Volume: 120

Page Number: 236-248

ISSN: 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.