Abstract
The purpose of this work is to solve the governing differential equations of arbitrarily non-rectangular laminated anisotropic plates by using the Chebyshev collocation method. The four sides of the plate herein are not restricted to be straight lines, and they can be curves as well. Meanwhile, these four sides can be expressed in four mathematical functions. The transformation from non-rectangular boundary into rectangular type is the key point to the solution of this kind of problems. In general, the research on laminated anisotropic plates is almost focused on the case of rectangular plate. It is difficult to handle the laminated anisotropic plate problems with non-rectangular borders, any kind of stacking sequence and the variety of boundary conditions. However, through the merits of Chebyshev collocation method, such problems can be overcome as stated as follows. Two cases in EXAMPLES section are illustrated to highlight the displacements, stress resultants and moment resultants of our proposed work. The preciseness is also found in comparison with the numerical results by using finite element method incorporated with the software of NASTRAN.
