Application of generalized differential quadrature method to structural problems. (English) Zbl 0804.73076
This paper presents 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 are evaluated and discussed. Then, an improved and simpler generalized differential quadrature method 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.
MSC:
| 74S30 | Other numerical methods in solid mechanics (MSC2010) |
| 74K10 | Rods (beams, columns, shafts, arches, rings, etc.) |
| 74K20 | Plates |
| 65D32 | Numerical quadrature and cubature formulas |
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