基于贝叶斯估计和数据融合的复合材料结构冲击定位  

Impact localization of composite structures based on Bayesian estimation and data fusion

作　　者：邓德双 曾旭[1] 杨正岩 杨雷[1] 武湛君 Deng Deshuang;Zeng Xu;Yang Zhengyan;Yang Lei;Wu Zhanjun(School of Mechanics and Aerospace Engineering,Dalian University of Technology,Dalian 116024,China;School of Transportation Engineering,Dalian Maritime University,Dalian 116026;School of Materials Science and Engineering,Dalian University of Technology,Dalian 116024,China)

机构地区：[1]大连理工大学力学与航空航天学院,大连116024 [2]大连海事大学交通运输工程学院,大连116026 [3]大连理工大学材料科学与工程学院,大连116024

出　　处：《仪器仪表学报》2024年第5期251-261,共11页Chinese Journal of Scientific Instrument

基　　金：国家重点研发计划(2022YFB3402500);国家自然科学基金(12372129,12102075);辽宁省自然科学基金(2022-MS-148)项目资助。

摘　　要：到达时刻(TOA)是用于冲击定位的关键特征之一,目前随着信号处理技术的不断发展,在文献中可找到多种时频模型进行测量,但是在选择上通常依赖于人的经验。此外,考虑到测量模型的系统误差和测量噪声引起的不确定性,传统基于TOA的冲击定位方法存在不足。为此,本文提出了一种基于贝叶斯估计和数据融合的复合材料结构冲击定位方法。首先,应用多种不同的时频模型来获取冲击响应信号的TOA数据;然后根据TOA数据测量误差的不确定性,应用贝叶斯定理构建冲击位置的后验概率密度函数;再采用马尔可夫链蒙特卡罗采样方法估计冲击位置参数的后验分布,并用正态分布进行拟合;最后,对不同TOA数据获得的冲击位置概率分布进行融合,利用融合后的概率分布对冲击源的位置做最终决策。通过复合材料加筋板上的落锤撞击实验验证了本文方法的可行性,平均定位误差仅为0.94 cm,相比于传统基于TOA的冲击定位方法可靠性和准确性更高,且在鲁棒性和定位时间方面同样具有优势。Time of arrival(TOA)is a key feature utilized in localizing impacts,with the ongoing advancements in signal processing technology,a variety of time-frequency models can be found in the literature for its measurement,but the selection usually depends on human experience.In addition,considering the systematic error of the measurement model and the uncertainty caused by measurement noise,the traditional TOA-based impact localization method is insufficient.Therefore,an impact localization method for composite structures based on Bayesian estimation and data fusion is proposed in this paper.First,a variety of different time-frequency models are applied to obtain the TOA data of the impact response signal.Then,according to the uncertainty of measurement error of TOA data,the posterior probability density function of impact position is constructed by using the Bayes theorem.Afterward,the posterior distribution of the impact position parameters is estimated using the Markov chain Monte Carlo(MCMC)sampling method,and the normal distribution is used to fit the posterior distribution.Finally,the impact position probability distribution obtained from different TOA data is fused,and the final decision is made by using the fused probability distribution.The feasibility of the proposed method is verified by the drop weight impact experiment on the composite stiffened plate,the average localization error is only 0.94 cm,which is more reliable and accurate than the traditional TOA-based impact localization method,and also has advantages in robustness and localization time.

关 键 词：到达时刻 贝叶斯估计 数据融合 复合材料加筋板 冲击定位 

分 类 号：TH145.9[一般工业技术—材料科学与工程]