Symbolic computing in spline-based differential quadrature method

The differential quadrature method based on spline functions (SDQM), considered as a piecewise polynomials of any degree, is proposed in the paper. The conditions for the determination of the interpolation function are presented. The symbolic computing has been employed to determine the weighting co...

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Bibliographic Details
Published in:Communications in numerical methods in engineering 2006-11, Vol.22 (11), p.1097-1107
Main Author: Krowiak, Artur
Format: Article
Language:English
Subjects:
Computational techniques
Exact sciences and technology
free vibration
Fundamental areas of phenomenology (including applications)
Mathematical methods in physics
Physics
Solid mechanics
spline-based differential quadrature
Structural and continuum mechanics
symbolic computation
Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...)
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Summary:The differential quadrature method based on spline functions (SDQM), considered as a piecewise polynomials of any degree, is proposed in the paper. The conditions for the determination of the interpolation function are presented. The symbolic computing has been employed to determine the weighting coefficients for the SDQM. The method has been examined in the vibration analysis of a plate. Effects of the spline degree, the number of nodes, the grid point distribution and two types of end conditions on the accuracy and convergence have been investigated in the example. Copyright © 2006 John Wiley & Sons, Ltd.
ISSN:1069-8299
1099-0887
DOI:10.1002/cnm.872