Abstract
High frequency noise sometimes triggers computational instability in the dynamic response analysis of a high-degree-of-freedom nonlinear system, such as a dynamic nonlinear FEM analysis. This paper proposes a new time integration scheme that eliminates high frequency noise by a digital filter. In this scheme, digital filtering is performed as a part of the time integration process. This paper describes a theory and a computational process of the scheme, as well as required conditions. There is little condition for the frequency characteristics of a filter and in this paper two recursive filters are introduced. The applicability of the scheme is also discussed and it is shown that this scheme is applicable to a linear acceleration method but that further study is required for its application to a central difference method. Effectiveness of the scheme is shown through the comparison of dynamic response analyses of a simple nonlinear system with/without proposed scheme
