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论文类型：期刊论文

发表时间：2017-11-01

发表刊物：THIN-WALLED STRUCTURES

收录刊物：Scopus、SCIE、EI

卷号：120

页面范围：236-248

ISSN号：0263-8231

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

摘要：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.