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Weak formulation study for thermoelastic buckling analysis of thick laminated cylindrical shells

Kewei D.

International Journal of Applied Mechanics and Engineering

2015

Vol. 20, no. 3

461--470

Weak formulations of mixed state equations of closed laminated cylindrical shells are presented in the Hamilton System. The Hamilton canonical equation of closed cylindrical shell is established. By means of applying the transfer matrix method and taking the advantage of Hamiltonian matrix in the calculation, a unified approach and three-dimensional thermoelastic solutions are obtained for the buckling analysis of closed trick laminated cylindrical shells. 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. The solutions and results given here may serve as a benchmark for other numerical procedures.

Strong discontinuity waves in extended phenomenological electrodynamics

Hoffmann T., Niechciałkowska B.

Journal of Technical Physics

2000

Vol. 41, no 4

387-394

In the paper the description of discontinuity of the electromagnetic field in the continuum medium in terms of the extended electrodynamics in considered. The classical field theory based on the analytical Lagrange - Hamilton methods has been used as a formal apparatus. The classical theory of discontinuity waves is applied to the description of the discontinuity of the field. Dynamics of the electromagnetic field is expressed in terms of the Lagrange equations of motion in the linear approximation.