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Discrete Singular Convolution And Its Application To The Analysis Of Plates With Internal Supports. Part 1: Theory And Algorithm, G. W. Wei, Yibao Zhao, Y. Xiang
Discrete Singular Convolution And Its Application To The Analysis Of Plates With Internal Supports. Part 1: Theory And Algorithm, G. W. Wei, Yibao Zhao, Y. Xiang
Research Collection Lee Kong Chian School Of Business
This paper presents a novel computational approach, the discrete singular convolution (DSC) algorithm, for analysing plate structures. The basic philosophy behind the DSC algorithm for the approximation of functions and their derivatives is studied. Approximations to the delta distribution are constructed as either bandlimited reproducing kernels or approximate reproducing kernels. Unified features of the DSC algorithm for solving differential equations are explored. It is demonstrated that different methods of implementation for the present algorithm, such as global, local, Galerkin, collocation, and finite difference, can be deduced from a single starting point. The use of the algorithm for the vibration analysis …
Plate Vibration Under Irregular Internal Supports, Yibao Zhao, G. W. Wei, Y. Xiang
Plate Vibration Under Irregular Internal Supports, Yibao Zhao, G. W. Wei, Y. Xiang
Research Collection Lee Kong Chian School Of Business
This paper studies the problem of plate vibration under complex and irregular internal support conditions. Such a problem has its widely spread industrial applications and has not been addressed in the literature yet, partially due to the numerical difficulties. A novel computational method, discrete singular convolution (DSC), is introduced for solving this problem. The DSC algorithm exhibits controllable accuracy for approximations and shows excellent flexibility in handling complex geometries, boundary conditions and internal support conditions. Convergence and comparison studies are carried out to check the validity and accuracy of the DSC method. Case studies are considered to the combination of …