Determination of the weighting coefficients for differential quadrature method based on spline interpolation
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RIS BIB ENDNOTEDetermination of the weighting coefficients for differential quadrature method based on spline interpolation
Data publikacji: 28.03.2014
Czasopismo Techniczne, 2013, Mechanika Zeszyt 1-M (5) 2013 , s. 1 - 1
https://doi.org/10.4467/2353737XCT.14.025.1951Autorzy
Determination of the weighting coefficients for differential quadrature method based on spline interpolation
The paper deals with the methodology of the determination of the weighting coefficients for differential quadrature method based on spline interpolation. Appropriate formulas are derived and two practical approaches to determine mentioned coefficients are proposed, one – pure numeric, the other that uses symbolic-numeric programming. Both approaches are analyzed on account of efficiency, conditioning of the problem and easiness of the implementation.
Bert C.W., Malik M., Differential quadrature method in computational mechanics, Applied Mechanics Review, 49, 1996, 1-28.
Shu C., Richards B.E., Application of generalized differential quadrature to solve two-dimensional incompressible Nanier-Stokes equations, International Journal for Numerical Methods in Fluids, 15, 1992, 791-798.
Shu C., Differential quadrature and its application in engineering, Springer-Verlag, London, 2000.
Krowiak A., The application of the differential quadrature method based on a piecewise polynomial to the vibration analysis of geometrically nonlinear beams, Computer Assisted Mechanics and Engineering Sciences, 15, 2008, 1-13.
Zong Z., A variable order approach to improve differential quadrature accuracy in dynamic analysis, Journal of Sound and Vibration, 266, 2003, 307-323.
Krowiak A., Symbolic computing in spline-based differential quadrature method, Communications in Numerical Methods in Engineering, 22, 2006, 1097-1107.
Informacje: Czasopismo Techniczne, 2013, Mechanika Zeszyt 1-M (5) 2013 , s. 1 - 1
Typ artykułu: Oryginalny artykuł naukowy
Tytuły:
Determination of the weighting coefficients for differential quadrature method based on spline interpolation
Determination of the weighting coefficients for differential quadrature method based on spline interpolation
Institute of Applied Informatics, Faculty of Mechanical Engineering, Cracow University of Technology
Publikacja: 28.03.2014
Status artykułu: Otwarte
Licencja: Żadna
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