Discrete precise time-integration method for structural dynamic analysis

The precise time-integration method can give precise numerical results approaching the exact solution at the integration points.However,difficulty arises when the algorithm is applied to the non-homogeneous dynamic systems due to the inverse matrix calculation and the simulation of the applied loading.A new precise time-integration method i.e.the discrete precise time-integration method is proposed.The original equations are converted into homogeneous equations,thus the new method avoids the inverse matrix calculation.The accuracy of the method depends on the length of the time-step.The order of accuracy is controllable in the method.Numerical examples are given to demonstrate the validity and efficiency of the method.