Weak Formulation Study For Thermoelastic Buckling Analysis Of Thick Laminated Cylindrical Shells

Abstract

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 thick 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.

Singularity Study of Sectorial Domain by Weak Formulation and Fractal Finite Element in Hamilton System

“…Considering the special properties of Hamiltonian matrix, author proposed an effective symplectic algorithm based on weak formulation of equations to solve such problems. As discussed in the previous work [8][9][10][11][12][13][14][15], weak formulation of generalized equation is the intrinsic essence of quasi-conforming finite element, and it is also the common basis of the quasi-conforming element and the Hamiltonian element. The numerical solution is the exact solution of generalized compatibility equations and satisfies the weak continuity requirement naturally.…”