STATIONARY AND NONSTATIONARY RANDOM VIBRATION OF OSCILLATORS WITH BILINEAR HYSTERESIS

The path integral solution (PIS) technique has been applied to calcula te the response statistics of a white noise excited oscillator with bi linear hysteresis. It is shown that the PIS method provides an interes ting alternative for investigating the random vibration of hysteretic oscillators. Computational aspects of the application of the PIS techn ique for estimating the statistics of the response of such oscillators are discussed, and the obtained numerical results are compared with t he results produced by stochastic averaging and Monte Carlo simulation . Copyright (C) 1996 Elsevier Science Ltd.