A new simple method of implicit time integration for dynamic problems of engineering structures

摘要

This paper presents a new simple methodof implicit time integration with two control parame-ters for solving initial-value problems of dynamics suchthat its accuracy is at least of order two along with theconditional and unconditional stability regions of theparameters.When the control parameters in the methodare optimally taken in their regions,the accuracy maybe improved to reach of order three.It is found thatthe new scheme can achieve lower numerical ampli-tude dissipation and period dispersion than some of theexisting methods,e.g.the Newmark method and Zhai'sapproach,when the same time step size is used.Theregion of time step dependent on the parameters in thenew scheme is explicitly obtained.Finally,some exam-ples of dynamic problems are given to show the accu-racy and efficiency of the proposed scheme applied indynamic systems.