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Application of generalized differential quadrature method to structural problems
Author(s) -
Du H.,
Lim M. K.,
Lin R. M.
Publication year - 1994
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620371107
Subject(s) - quadrature (astronomy) , gauss–kronrod quadrature formula , weighting , tanh sinh quadrature , gauss–jacobi quadrature , gauss–hermite quadrature , clenshaw–curtis quadrature , numerical integration , nyström method , gauss–laguerre quadrature , differential (mechanical device) , mathematics , numerical analysis , computer science , algorithm , mathematical analysis , gaussian quadrature , integral equation , engineering , physics , electronic engineering , aerospace engineering , acoustics
This paper presents the first endeavour to exploit a generalized differential quadrature method as an accurate, efficient and simple numerical technique for structural analysis. Firstly, drawbacks existing in the method of differential quadrature (DQ) are evaluated and discussed. Then, an improved and simpler generalized differential quadrature method (GDQ) is introduced to overcome the existing drawback and to simplify the procedure for determining the weighting coefficients. Subsequently, the generalized differential quadrature is systematically employed to solve problems in structural analysis. Numerical examples have shown the superb accuracy, efficiency, convenience and the great potential of this method.