非定常ランダム応答の等価線形化解法

Abstract

In order to estimate the non-linear response of an elasto-plastic system subjected toGaussian non-stationary random excitations, the linearization technique of a hysteresisloop, that is applicable in the non-stationary stochastic process, is discussed in this paper.From the expected number of crossing over the response level per unit time, the averagefrequency as well as the probability density distribution function of peak amplitude inthe non-stationary Gaussian process are obtained. By using these quantities, the linearizeddynamic parameters of a stable hi-linear hysteresis loop are determined according to theleast mean squared error method. As a result, the step by step integration procedurebased upon this linearization technique is presented for the numerical evaluation of thenon-stationary random response of a multi-input and -output discrete system with thehi-linear hysteretic characteristics.