Discrete Singular Convolution and Its Application to the Analysis of Plates with Internal Supports. Part 2: Applications

作者: Yang Xiang , YB Zhao , GW Wei , None

DOI: 10.1002/NME.527

关键词: Series (mathematics)ConvolutionRhombusMathematicsMathematical optimizationMathematical analysisDiagonalConvergence (routing)Boundary value problemSquare (algebra)Line (geometry)

摘要: Part 2 of this series two papers presents the applications discrete singular convolution (DSC) algorithm. The main purpose paper is to explore utility, test accuracy and examine convergence proposed approach for vibration analysis rectangular plates with internal supports. Both partial line supports complex are considered 21 square various combinations edge support conditions. effects different size, shape topology boundary conditions on response investigated. may vary from a central point full range cross or diagonal Several closed-loop supports, such as ring, rhombus, their studied Convergence comparison studies carried out establish correctness DSC results compared those in available literature obtained by using other methods. Numerical indicate that algorithm exhibits controllable plate shows excellent flexibility handling geometries, Copyright © 2002 John Wiley & Sons, Ltd.

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