The Research About The Non-Linear Bending Question Of Circular Sandwich Plates By Method Of Weighted Residuals

The analysis of circular sandwich plates bearing force becomes a very important question with the abroad applications of sandwich plates. In this paper, it is researched that the non-linear bending problem about circular sandwich plates counting their surface plates' flexural rigidity in the distributed loads. The essay gives the bending moment formulas of non-linear bending problems of circular sandwich plates counting their surface plates' flexural rigidity. The non-linear differential equations are acquired by using power functions as trial functions and through the collocation method when the results of equilibrium equations are sought. The Newton-iterative method is adopted in order to acquire the keys of the equilibrium equations because the equations are non-linear differential equations.Four boundary conditions being considered in this paper, they are fixation clamp, motive clamp, pinned bearing, simpleness bearing. The functions based on the four boundary conditions are calculated by the Newton-iterative method in this paper and the results of calculations are analyzed. The stresses and bending moments are gained through the results. The examples testify that the collocation method has the advantages of less calculation quantities and accurate results.All above are realized by a program on computer by using the computer language Fortran77. it is very convenience.