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Steel and Composite Structures
  Volume 9, Number 1, February 2009 , pages 59-75
DOI: https://doi.org/10.12989/scs.2009.9.1.059
 


Discrete singular convolution method for bending analysis of Reissner/Mindlin plates using geometric transformation
Omer Civalek and Engin Emsen

 
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.
 
Key Words
    Reissner-Mindlin plate; geometric transformation; plate; bending; discrete singular convolution.
 
Address
Omer Civalek; Akdeniz University, Faculty of Engineering, Civil Engineering Department, Division of Mechanics, Antalya, Turkey
Engin Emsen; Akdeniz University, Faculty of Engineering Civil Engineering Department, Division of Structures, Antalya, Turkey
 

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