Abstract
Weak formulations of mixed-state equations including boundary conditions of an open laminated cylindrical shell are presented in a cylindrical coordinate system. Thermal stresses mixed state equation of an open cylindrical shell is established. The mixed equation is changed into a Hamilton canonical equation. For applying the transfer matrix method and taking advantage of the Hamiltonian matrix in the calculation, a unified approach and three-dimensional thermoelastic solutions are obtained for an open laminated cylindrical shell with clamped edges subjected to mechanical loading and temperature variation. All equations of elasticity can be satisfied and all elastic constants can be taken into account. 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, and the method of this paper would be easy to popularize in dynamics analysis of elasticity. The solutions and results given here may serve as a benchmark for other numerical procedures.
Published Version
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