基于无迹变换的结构载荷/参数联合识别的GDF法

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振动与冲击 ›› 2022, Vol. 41 ›› Issue (9) : 75-80.

论文

王婷1，万志敏1，2

作者信息 +

GDF-UT algorithm for joint identification of structural loads/parameters

WANG Ting1, WAN Zhimin1,2

Author information +

文章历史 +

摘要

结构动态载荷/参数联合识别是近些年结构动力学领域的研究热点，比如作者提出的EGDF算法。不过EGDF算法的思想是基于扩展卡尔曼滤波(EKF)的一阶线性化近似来处理系统中的非线性，影响识别精度。考虑到无迹变换能够有效地处理系统非线性问题，本文引入无迹变换，应用模态缩减法，将传统GDF法进行改进，形成了GDF-UT法。另外，为了缓解GDF法中的载荷位移识别信号的虚假低频漂移现象，应用应变和加速度测量信号的融合策略拓展GDF-UT算法。以平面桁架结构为数值仿真对象，验证了本文算法的有效性，相比于EGDF算法，本文方法精度更高。

Abstract

There have been some research works focusing on simultaneous identification of structural loads and uncertain parameters in recent years. Among them, the extended GDF (EGDF) method presented by the authors has the ability for the dual identification. However, the foundation of EGDF is basing on the EKF algorithm, in which the first-order Taylor approximation is adopted for dealing with the system non-linearization. It has been demonstrated that the Unscented Transform (UT) has more accuracy than the EKF algorithm. In order to improve the identification precision, the UT is used for modifying the traditional GDF algorithm to become the GDF-UT algorithm together with the modal reduction strategy. Additionally, the strategy data fusion of the acceleration measurements and strain measurements is adopted for restraining the so-called low-frequency drifts of identified loads and displacements. A numerical example of a planar truss was conducted to validate the effectiveness of the proposed method.

导出引用

王婷1，万志敏1，2. 基于无迹变换的结构载荷/参数联合识别的GDF法[J]. 振动与冲击, 2022, 41(9): 75-80

WANG Ting1, WAN Zhimin1,2. GDF-UT algorithm for joint identification of structural loads/parameters[J]. Journal of Vibration and Shock, 2022, 41(9): 75-80

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