APPLICATION OF THE GENERALIZED DIFFERENTIAL QUADRATURE METHOD TO DEFLECTION AND BUCKLING ANALYSIS OF STRUCTURAL COMPONENTS

Abstract

The method of differential quadrature developed by Richard Bellman in the 1970s is a numerical solution technique for differential systems by means of a polynomial-collocation approach at a finite number of points. In this paper a global method of generalized differential quadrature is presented to solve the problems on deflection, buckling and vibration behaviour of structural components. Furthermore, the applicability of this method to the deflection analysis of beams due to a point load is also demonstrated. An inherent advantage of the approach is its basic simplicity and small computational effort with easy programmability. Results are obtained for various boundary and loading conditions and are compared with existing exact and numerical solutions by other methods. Numerical examples have shown the accuracy, efficiency and great potential of this method for structural analysis.

Keywords

• Diferansiyel quadrature metodu, Sayısal çözüm metotları, Kısmi diferansiyel denklem