Abstract
This paper is concerned with the analytical estimation of probabilistic properties of the stationary random response for the single-degree-of-freedom system with the slip hysteresis, when subjected to the Gaussian white excitation. Since the slip hysteretic oscillator with perfectly plastic stiffness as well as the general bilinear hysteretic one has been already analysed elsewhere, the slip hesteretic system whose plastic stiffness has arbitrary magnitude is dealt with herein through the approach similar to that adopted in the previous cases. The important expressions thus obtained have been examined by the digital simulation. As the results, it has been found that the analytical solution of the R.M.S. displacement coincides with the corresponding experimental one with sufficient accuracy, and that the theoretical R.M.S. plastic deformation gives the good information about its general tendency, although it does not always bring about the satisfactory quantative prediction in a strict sense. In addition, it has been concluded that the theoretical values of the expected accumulated plastic deformation agree quite well with the simulated ones over the wide ranges of related parameters.
