履歴 1 自由度系のランダム応答における塑性変形量

抄録

This paper is concerned with the analytical estimation of the propabilistic properties of the plastic deformation in the stationary random response of the hysteretic single-degree-of-freedom system subjected to the Gaussian white excitation. This has been successfully achieved under the consideration that the plastic deformation of such hysteretic systems as the bi-linear and slip ones, which correspond to two typical restoring force characteristics of the building structures, could be evaluated by the comparison of those systems with the equivalent Coulomb damping ones, the approximate solutions of which have been already obtained referring to one of the exact solutions of the associated Fokker-Planck equation. The important exprssions thus obtained have been examined by the Monte-Carlo simulation analysis. As the results, it has been found that the theoretical solutions to the R. M. S. response of the plastic deformation give the good information about its general tendency at least, although those do not always bring about the satisfactory quantative prediction in a strict sense. In addition to that, it has been concluded that the theoretical values of the expceted accumulated plastic deformation agree quite well with the simulated ones over the wide ranges of the related parameters.