Please use this identifier to cite or link to this item: http://scholarbank.nus.edu.sg/handle/10635/14867
Title: Comparison of discrete singular convolution and generalized differential quadrature for the vibration analysis of rectangular plates
Authors: NG CHIN HOCK
Keywords: discrete singular convolution; generalized differential quadrature; vibration analysis; rectangular plate; non-uniform boundary condition
Issue Date: 8-Jun-2005
Source: NG CHIN HOCK (2005-06-08). Comparison of discrete singular convolution and generalized differential quadrature for the vibration analysis of rectangular plates. ScholarBank@NUS Repository.
Abstract: This thesis presents a comprehensive comparison study between the discrete singular convolution (DSC) and the generalized differential quadrature (GDQ) for vibration analysis. The DSC method is implemented through Lagrange's delta sequence kernel (DSC-LK), which utilizes local Lagrange polynomials to calculate weighting coefficients, whereas, the GDQ requires global ones. Comparison study is carried out on 21 rectangular plates of different combinations of simply supported, clamped and transversely supported edges, and 5 rectangular plates of mixed supporting edges. All the results of the DSC-LK agree very well with both those in the literature and newly computed GDQ results. Furthermore, it is observed that the DSC-LK performs much better for plates vibrating at higher-order eigenfrequencies. Unlike the GDQ, the DSC-LK is numerically stable for problems which require a large number of grid points.
URI: http://scholarbank.nus.edu.sg/handle/10635/14867
Appears in Collections:Master's Theses (Open)

Show full item record
Files in This Item:
File Description SizeFormatAccess SettingsVersion 
Thesis.pdf654.63 kBAdobe PDF

OPEN

NoneView/Download

Page view(s)

262
checked on Dec 11, 2017

Download(s)

325
checked on Dec 11, 2017

Google ScholarTM

Check


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.