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论文类型：期刊论文

发表时间：2008-09-01

发表刊物：INTERNATIONAL JOURNAL OF STRUCTURAL STABILITY AND DYNAMICS

收录刊物：SCIE、EI、Scopus

卷号：8

期号：3

页面范围：487-504

ISSN号：0219-4554

关键字：dynamic buckling; eigenvalue; Hamiltonian system; thin cylindrical shell; stress wave; transversely isotropic

摘要：This paper investigates the prebuckling dynamics of transversely isotropic thin cylinder shells in the context of propagation and reflection of axial stress waves. By constructing the Hamiltonian system of the governing equation, the symplectic eigenvalues and eigenfunctions are obtained directly and rationally without the need for any trial shape functions, such as the classical semi-inverse method. The critical loads and buckling models are reduced to the problem of eigenvalues and eigensolutions, in which zero-eigenvalue solutions and nonzero-eigenvalue solutions correspond to axisymmetric buckling and nonaxisymmetric buckling, respectively. Numerical results reveal that energy is concentrated at the unconstrained free ends of the shell and the buckling modes have bigger bell-mouthed shapes at these positions.