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Civil-Comp Proceedings
ISSN 1759-3433
CCP: 66
COMPUTATIONAL MECHANICS: TECHNIQUES AND DEVELOPMENTS
Edited by: B.H.V. Topping
Paper V.2

Differential Quadrature Element Method with Explicitly Computed Weighting Coefficients for Fourth-Order Equations

S-H. Park and J-H. Kim

School of Mechanical and Aerospace Engineering, Seoul National University, Seoul, Korea

Full Bibliographic Reference for this paper
S-H. Park, J-H. Kim, "Differential Quadrature Element Method with Explicitly Computed Weighting Coefficients for Fourth-Order Equations", in B.H.V. Topping, (Editor), "Computational Mechanics: Techniques and Developments", Civil-Comp Press, Edinburgh, UK, pp 115-120, 2000. doi:10.4203/ccp.66.5.2
Abstract
The differential quadrature method has been applied to the analyses of many engineering problems. In applying the differential quadrature method, the accuracy of the weighting coefficients are very important. Recently, the C1 continuous interpolating functions have been employed by many researchers for the purpose of solving the fourth-order equations. However, for the interpolating functions with C1 continuity, the numerically computed coefficients have been used. In this paper, a new method to explicitly calculate the weighting coefficients for the interpolating functions with C1 continuity are described in detail. By using the computed coefficients, the DQEM is developed and the convergence, accuracy and stability of the method are examined by some applications.

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