An assessment of the differential quadrature time integration scheme for nonlinear dynamic equations

In 1996, Xie [An assessment of time integration schemes for non-linear dynamic equations, Journal of Sound and Vibration 192(1) (1996) 321–331] presented an assessment on seven existing and commonly used time integration schemes for nonlinear dynamic equations. In this work, the differential quadrature (DQ) time integration scheme proposed by Fung in 2001 is assessed following the same procedures as Xieʹs. It is shown that accurate numerical results can be obtained by the DQ method when using much larger time step over the commonly used time integration schemes. Based on the results reported herein, some conclusions are drawn.