A NEW TIME INTEGRATION METHOD IN STRUCTURAL DYNAMICS USING THE TAYLOR-SERIES

The paper presents a new method of time integration for structural dyn amic responses. In comparison with well-known methods, it is advantage ous in several aspects. It satisfies the governing equations in contin uous intervals rather than at discrete time instants (collocation, SSp j) or in average form (weighted, GNpj). It approximates the structural response with user-controllable order of accuracy. It automatically c ontrols the convergence and accuracy so that a correct answer can be a ssured via auto-adjusted stepping and expansion terms. As far as the a ccuracy of velocity and acceleration is concerned, the method is much better since rapid convergence can be obtained with ease. Like the exp licit integration method, this approach does not demand solution of si multaneous equation sets, yet it can be used with a time increment muc h larger than that of the implicit methods.