engleski

Generalized Differential Quadrature Method for Timoshenko Beam with Varying Croos Section

he generalized differential quadrature method as an accurate and efficient numerical method is developed for the Timoshenko beam problem. The numerical algorithm for this class of problem is presented. The differential quadrature approximation of needed derivatives is given by a weighted linear sum of the function values at grid points. Recurrence relationship is used for calculation of weighting coefficients. The numerical results are obtained for different boundary and loading conditions. Numerical examples are provided for the beams with different functions for varying cross section. The influence of the choice of the grid points is expressed with calculated results. The calculated numerical results are compared with exact solutions to show the quality of the generalized differential quadrature solutions for each example. Numerical examples have shown accuracy of the GDQ method with relatively small computational effort.

Timoshenko beam; generalized differential quadrature; weighting coefficients

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