Abstract
In the previous paper, response characteristics of the hysteretic single-degree-of-freedom system to white and non-white inputs were examined, choosing such important parameters from aseismic design point of view as the rigidity ratio of hysteretic characteristics, viscous damping independently given with hysteretic damping to the system and the shape of the non-white noise spectrum, by the new analytical technique which is base on the Fokker-Planck equation and the characteristic function. In this paper, the method to estimate random response of the hysteretic multi-degree-of-freedom system is developed by extending and making use of this new analytical technique. As a brief example of this method, 2nd-degree-of-freedom systems are analyzed to obtain general random response characteristics of the hysteretic system for the following parameters : (1) the level of white noise inputs power spectral density, (2) the mass ratio of the 2nd to the 1st story and (3) the rigidity ratio of the 2nd and the 1st story.
