Answer Of Rectangular Plates Under Mix-Boundary Conditions Bending Problems With The Principle Of Mixed Variables

Board is one of the basic components used in structural commonly, with the industry of construction, the diversity of the buildings have become demanding increasingly, the calculation of board with various constraints becomes even more important, so this paper, with mixed variables to solve the mixed boundary conditions rectangular plate bending problem , so provide a simple and practical method for the engineering calculation of rectangular plates ,with certain theoretical and engineering significance.With the hybrid variable method to solve the rectangular plates problem in the mixed boundary conditions do not need to consider the complex displacement function of the assumptions can easily write variable total energy of elastic rectangular plate in the all kinds of mixed boundary conditions, according to the actual boundary conditions of the rectangle, can easily establish the corresponding characteristic equation, which overcomes the tedious classical method of derivation. Since this method is simple, procedural and easy to learn, especially those problems which use other methods not easily to be solved the mixed variables method can solve them more effective.In this paper, with the hybrid variable method to solve the bending problem of rectangular plates which are half of the other fixed adjacent edges simply supported rectangular plate fixed half, one side simply supported, adjacent half edges simply supported rectangular plate fixed half, the other fixed on the simply supported edge of half of half of the fixed plate, one side simply supported, simply supported on the edge of half of the fixed half, in the concentrated and uniform load, with calculating , obtained series of data through the comparison of calculation results with the finite element program proved the correctness of the results. Therefore, the calculation of rectangular plate bending problems o not only has theoretical value, but also can be directly used for the project.