基于有限测量信息的两步响应重构方法

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振动与冲击 ›› 2022, Vol. 41 ›› Issue (11) : 291-297.

论文

基于有限测量信息的两步响应重构方法

史鹏程1，彭珍瑞1，董康立2

作者信息 +

Two-step response reconstruction method based on limited measured information

SHI Pengcheng1, PENG Zhenrui1, DONG Kangli2

Author information +

文章历史 +

摘要

提出了分两步进行结构响应重构的方法，可实现利用正常测量的响应对因传感器损坏而丢失或其余所需的响应进行重构。首先，建立各处正常工作的传感器的测量响应与需要重构响应的关系，计算出含噪声的各类响应。然后，使用粒子滤波算法降低测量过程中有色噪声对于重构精度的影响，并且在粒子滤波算法中引入萤火虫算法代替重采样过程，改善粒子贫化现象。最后对一个二维桁架进行数值模拟，结果显示该方法与直接使用测量响应进行响应重构的方法相比有更高的精度。

Abstract

A two-step structural response reconstruction method is proposed, which can reconstruct the lost response due to sensor damage and the rest of the required response by using the response of normal measurement. Firstly, the relationship between the measured response of the sensors which are working normally and the responses needed reconstructed is established, and all kinds of responses with noise are calculated. Then, the particle filter algorithm is used to reduce the influence of colored noise on the reconstruction accuracy in the measurement process, and the firefly algorithm is introduced to replace the resampling process in the particle filter algorithm to improve the particle impoverishment. Finally, a two-dimensional truss is simulated, and the results show that the proposed method has higher accuracy than the direct response reconstruction method.

导出引用

史鹏程1，彭珍瑞1，董康立2. 基于有限测量信息的两步响应重构方法[J]. 振动与冲击, 2022, 41(11): 291-297

SHI Pengcheng1, PENG Zhenrui1, DONG Kangli2. Two-step response reconstruction method based on limited measured information[J]. Journal of Vibration and Shock, 2022, 41(11): 291-297

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