基于非负贝叶斯正则化的冲击载荷光纤识别法  

An Optical Fiber Technique of Impact Load Identification Method Based on Non-negative Bayesian Regularization

作　　者：蔡芳盛 严刚[1] 曾捷[1] 黄继伟 汤剑飞[1] CAI Fangsheng;YAN Gang;ZENG Jie;HUANG Jiwei;TANG Jianfei(State Key Laboratory of Mechanics and Control of Mechanical Structures,Nanjing University of Aeronautics and Astronautics Nanjing,210016,China)

机构地区：[1]南京航空航天大学机械结构力学及控制国家重点实验室,南京210016

出　　处：《振动．测试与诊断》2023年第3期427-434,615,共9页Journal of Vibration,Measurement & Diagnosis

基　　金：国家自然科学基金资助项目(11602104);航空科学基金资助项目(20185644006);上海航天科技创新基金资助项目(SAST2018-015);江苏省重点研发计划资助项目(BE2018047);直升机旋翼动力学国家级重点实验室基金资助项目(61422202207);江苏高校优势学科建设工程基金资助项目。

摘　　要：针对目前冲击载荷识别中存在的传感器质量不可忽略和识别结果带有负分量问题,提出基于非负贝叶斯正则化的复合材料结构冲击载荷光纤识别方法。首先,将光纤布拉格光栅(fiber Bragg grating,简称FBG)传感器集成于复合材料筒舱结构上,获取其动态响应信号;其次,建立冲击载荷识别模型,将冲击载荷识别问题表示为时域离散的反卷积问题;最后,考虑到冲击载荷的非负特性,通过贝叶斯层次化建模获得其后验概率密度函数,最大化概率密度函数得到冲击载荷的最大后验概率解。结果表明,FBG传感器可以较好地实现多个传感点冲击响应的同步测量,非负贝叶斯正则化方法可以有效地克服传统Tikhonov正则化的不足,自适应确定算法参数,消除没有物理意义的负分量,使得重建的冲击载荷时间历程与实际历程相吻合。An optical fiber technique of impact load identification method of composite structure based on nonnegative Bayesian regularization is proposed in terms of the problems existing in impact load identification.For example,the quality of sensors cannot be ignored and the identification result has negative component.Firstly,the fiber Bragg grating(FBG)sensor is integrated into the composite tube structure to obtain its dynamic re-sponse signal.Secondly,the impact load identification model is established to represent the impact load identifi-cation problem as deconvolution problem of discrete-time.Taking into account the non-negative characteristics of the impact load,its posterior probability density function is obtained through Bayesian hierarchical model.then the maximum posterior probability solution for the impact load is obtained by maximizing probability densi-ty function.The results show that the simultaneous measurement of impact response at multiple sensing points can be achieved by FBG sensors,and the non-negative Bayesian regularization method can effectively overcome the shortcomings of traditional Tikhonov regularization,adaptively determine the algorithm parameters,elimi-nate the negative components which have no physical meaning.Therefore,the reconstructed time history of im-pact load can coincide with the actual time history.

关 键 词：载荷识别 复合材料结构 光纤布拉格光栅 非负贝叶斯正则化 

分 类 号：O327[理学—一般力学与力学基础]