Discrete singular convolution method and applications to free vibration analysis of circular and annular plates

摘要

Circular plates have many applications in civil, aerospace, petroleum, nuclear and, mechanical engineering. This paper deals with the application of the DSC method for the free vibration analysis of thin circular and annular plates with clamped and simply supported boundary conditions. In the DSC method, the function f(x) and its derivatives with respect to the x coordinate at a grid point x_i are approximated by a linear sum of discrete values f(x_k).