双线性滞后结构滤波问题

THE PROBLEM OF STOCHASTIC FILTERING OF BILINEAR HYSTERETIC STRUCTURE

根据伊藤随机微分方程 ,利用双线性滞后特性的统一微分方程表达式 ,按随机等效线性化法导出了双线性滞后结构的线性滤波器 ,然后利用提出的双线性滞后特性分段微分方程表达式 ,导出了无须进行积分计算的双线性滞后结构的分段线性滤波器 ,简化了计算。为了考察该方法的计算精度 ,给出了算例 。

In this paper,based on the Ito stochastic differential eq ua tions and the united differential expression of bilinear hysteretic characterist ics,a linear filter of bilinear hysteretic structural system was obtained by usi ng the method of stochastic equivalent linearization.A piecewise linear differen tial expression of bilinear hysteretic characteristics was proposed by using a s ectionalized linear filter of bilinear hysteretic structural system,which simpli fied the computation for it need not calculate the integral involved.Numerical e xamples of SDOF and MDOF bilinear hysteretic systems were presented.Comparison b etween our results and those by using the simulation technique indicates that th e proposed method is more efficient for bilinear hysteretic systems.