Abstract
A single step digital filering time in tegration (SSDFTI) scheme that filters out high frequency noise by applying digital filter in the process of computation is proposed. The proposed scheme can realize adjustable algorithmic damping and it includes various time integration methods, such as the Newmark β method and the generalized α method, as its simplifed form.
The proposed scheme uses two time series (“filtered time series” and “unfiltered time series”), and it realizes algorithmic damping by using digital filltering technique. Usage of digital filer enables employment of wider variety of algorithmic damping compared to that of existing time integration schemes. It is also possible to apply different filters for displacement, velocity and acceleration.
Dynamic analysis of asimple 2 DOF system which has astrong trend of divergence is conducted as a numerical example using the proposed scheme. The result shows that it can conduct accurate analysis eliminating the effect of high frequency noise.
The proposed scheme is not unconditionally stable, however, and further research is required about conditions for stable computation.
