STABILITY ANALYSIS OF ANISOTROPIC RECTANGULAR PLATES

According differential equation for displacement function of anisotropic rectangular thin plates in stability, a general analytical solution is established. This general solution composes not only the composite solutions made by trigonometric function and hyperbolic function which can satisfy the problem of arbitrary boundary conditions along four edges, but also the algebraic polynomial with double sine series solutions which can satisfy the problem of boundary conditions at four corners. Consequently, this general solution can be used to solve stability problems of anisotropic rectangular plates with arbitrary boundaries accurately. The integral constants can be determined by boundary conditions of four edges and four corners. Each critical load and buckling mode can be solved by determining the coefficient matrix from the homogeneous linear algebraic equations equal to zero. As an example, a composite symmetric angle ply laminated plate with four edges clamped has been calculated and discussed.