The Bending Problem Of Functionally Graded Circular Plate Subjected To Different Lateral Loads

This paper begins by examining the circular functionally graded plate simply supported and fixed end constraints under uniform load by the bending of simply supported and then studied various other forms of restraint by the bending loads.First, the establishment of functionally graded circular plates of the relationship between strain and displacement, and obtain the stress field, including the axial force, shear and bending moment, and so to get the equations of circular plates, and obtained the theory of circular solutions, including solutions in the theory of homogeneous solution and particular solution, the first in accordance with equations to obtain the homogeneous solution, and then the different boundary conditions in accordance with their particular solution. First were derived by functionally graded circular plate under uniform load, simply supported and fixed end of the theoretical solution, followed by a numerical analysis. Followed by a circular plate is derived theoretical solution of cyclic loading as a basis for solution. By using this basic solution and then get another three points under load in the form theoretical solution, quadratic function of load, respectively, are dependent loading and partial triangular uniformly distributed load. Different forms of the above theoretical solution of the numerical analysis.The results showed that subject to the same external force, the smaller the stiffness of the plate the greater the displacement and stress.