On The Finite Difference Method Based On The Principle Of Variation Of A Kind Of Compounding Elastic Structure

In this paper, the mathematical method of compounding elastic structure, as well as the numerical analysis and its application in the domain of the architecture structure analysis was studied. The study included the fundamental relationship of compounding elastic structure, the model of variation, the model of differential equation and the numerical approach. The bending problem of small deflection of non-homogenous, thin plate with variable thickness on an elastic groundwork was considered, FDM based on the principle of variation was discussed and the finite-difference format of relying only on the network nodes of the plate was obtained. So a series of problems were avoided which relied on the networks nodes outside of the plate because the control differential equation and the boundary restriction condition were respectively deal with. On the precondition of keeping the approaching precision, the amount of the unknown quantities was reduced. The course of constructing had the obvious dynamics signification. In this paper, the finite-difference format had reasonably extended to the finite-difference format of the existing literature. In addition, basing on the arithmetic, the Matlab program was obtained. The calculational result of this paper was very good by comparing with the existing literature and it could quantificationally opened out the functionary rule of the plate and its beams. So the approach of numerical simulation for the theory analysis and the engineering design of compounding elastic structure would be offered.