抄録
A discrete method is proposed for analyzing the bending and free vibration problems of isotropic and orthotropic plates with uniform or non-uniform thickness.The fundamental differential equations involving Dirac's delta functions are established and satisfied exactly throughout the whole plate.By transforming these fundamental equations into integral equations and using numerical integration, the solutions are obtained at the discrete points. The Green function, which is the solution for deflection at the discrete points, is used to obtain the characteristic equation of the free vibration.Some numerical analyses are carried out for the bending problem of isotropic plate with uniform thickness, the free vibration problem of isotropic with uniform thickness and orthotropic plates with variable thickness in one or two directions.The efficiency and accuracy of the numerical solutions by the present method are investigated.
