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Weak formulations of mixed state equations including boundary conditions of open laminated cylindrical shell are presented in a cylindrical coordinate system. The mixed state equation of an open cylindrical shell is established. The mixed equation is changed into Hamilton canonical equation. For applying the transfer matrix method and taking the advantage of Hamiltonian matrix in the calculation, an unified approach and three-dimensional solutions are obtained for open thick laminated cylindrical shell with relative edges simply supported and the relative edge clamped supported subjected to mechanical loading. Numerical results are given to compare with those of FEM calculated using SAP5.The principle and method suggested here have clear physical concepts. The equations and boundary conditions proposed in this paper are weakened, the method of this paper would be easy to popularize in dynamics analysis of elasticity.

Exact Analysis of Weak Formulation Study for Thick Laminated Shell