| 双线性滞回结构滤波问题的分段线性化法 |
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| 引用本文： | 田琪,田学民,朱东生. 双线性滞回结构滤波问题的分段线性化法[J]. 力学学报, 2003, 35(6): 740-743 |
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| 作者姓名： | 田琪 田学民 朱东生 |
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| 作者单位： | 1. 兰州交通大学土木工程学院,兰州,730070
2. 西南交通大学土木工程学院,成都,610031 |
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| 基金项目： | 甘肃省自然科学基金(29506)，兰州交通大学“青蓝”人才工程基金资助项目 |
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| 摘 要： | 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．
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| 关 键 词： | 双线性 积分计算 随机微分方程 连续 等效线性化 表达式 算例 滞回特性 数字模拟 |
| 修稿时间： | 2002-12-04 |
The sectionalized linearization method for problem of filtering of bilinear hysteretic structure |
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| Tian Qi Tian Xuemin Zhu Dongsheng. The sectionalized linearization method for problem of filtering of bilinear hysteretic structure[J]. chinese journal of theoretical and applied mechanics, 2003, 35(6): 740-743 |
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| Authors: | Tian Qi Tian Xuemin Zhu Dongsheng |
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| Abstract: | 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. |
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| Keywords: | stochastic differential equations hysteretic structure estimate nonlinear filter sectionalized linearization method |
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