双线性滞回结构滤波问题的分段线性化法

THE SECTIONALIZED LINEARIZATION METHOD FOR PROBLEM OF FILTERING OF BILINEAR HYSTERETIC STRUCTURE

提出了一种双线性滞回特性的分段微分表达式,根据伊藤随机微分方程和连续Markov向量过程的理论,导出了无须进行积分计算的双线性滞回结构的分段线性滤波器,简化了计算.算例表明,该法比随机等效线性化法和数字模拟的结果更为吻合.

In this paper, a sectionalized differential expression of bilinear hysteretic characteristic is presented, and based on the Ito stochastic differential equations and the theory of continuous Markov vector process, a sectionalized linear filtering of bilinear hysteretic structural system is obtained, which simplified the computing for it need not calculate the integrals to obtained the sectionalized linear filtering. A numerical example of 3DOF bilinear hysteretic system has been presented. Comparison of these results and that of the simulation technique and of the sectionalized linearization method is indicated that the proposed method is more exact and more efficient for bilinear hysteretic systems.