Vibration and buckling analyses of beams by the modified differential quadrature method

In this paper the modified differential quadrature method (MDQM) is propose d for static and vibration analyses of beams. Modified weighting matrices a re developed and a new formulation process is presented for incorporating b oundary conditions such that the numerical error induced by using the delta -method in the original DQM is reduced. The present method is applied to v arious beam problems, such as static deflections of Euler beams, buckling l oads of columns, and free vibrations of Timoshenko beams. Numerical results of the present method are shown to have excellent accuracy when compared t o exact values and are more accurate than those obtained by the original DQ M. The accuracy and efficiency of the present method have been demonstrated .