Discrete singular convolution method for bending analysis of Reissner/Mindlin plates using geometric transformation
STEEL AND COMPOSITE STRUCTURES, vol.9, no.1, pp.59-75, 2009 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 9 Issue: 1
- Publication Date: 2009
- Doi Number: 10.12989/scs.2009.9.1.059
- Journal Name: STEEL AND COMPOSITE STRUCTURES
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.59-75
- Keywords: Reissner-Mindlin plate, geometric transformation, plate, bending, discrete singular convolution, FREE-VIBRATION ANALYSIS, DIFFERENTIAL QUADRATURE METHOD, MINDLIN PLATES, RECTANGULAR-PLATES, ELEMENT, SHELLS, HDQ
- Akdeniz University Affiliated: Yes
Abstract
In this study, a simple approach for bending analysis of Reissner-Mindlin plates is presented using the four-node quadrilateral domain transformation based on discrete singular convolution. In the proposed approach, irregular physical domain is transformed into a rectangular domain by using the geometric coordinate transformation. The DSC procedures are then applied to discrete the governing equations and boundary conditions. The accuracy of the proposed method is verified by comparison with known solutions obtained by other numerical or analytical methods. Results for Reissner-Mindlin plates show a satisfactory agreement with the analytical and numerical solutions.