Computational Technology Resources - CCP

Paper V.2

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

doi:10.4203/ccp.66.5.2

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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Front Page Browse CCP CSETS CTR IJRT Other Authors Search Purchase Guide FAQ Contact us	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 doi:10.4203/ccp.66.5.2 purchase the full-text of this paper 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. purchase the full-text of this paper (price £20) go to the previous paper go to the next paper return to the table of contents return to the book description purchase this book (price £76 +P&P)
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