η method of numerical integration

Abstract

In the finite element dynamic analysis, the governing partial differential equations are first discretized in space and then the resulting equations are integrated with respect to time. The time integration is an important aspect of the entire analysis since efficiency, economy and accuracy of the solution depends on it, to a large extent. In this paper, a new one step implicit algorithm known as 'ν method' suitable for wave propagation problems is introduced. The proposed algorithm includes a term defining an impulse load vector which permits the use of time increments that can be controlled solely by accuracy requirements. The stability and accuracy characteristics of the proposed method are compared with those of the other available methods. © 1989 Springer-Verlag.