传递矩阵法分析FBG加速度计的动态性能  

Analyze the Dynamic Performance of FBG Accelerometer Using Transfer Matrix Method

作　　者：仇磊[1,2] 梁磊[1] 蔡彦璞[1] 王慧 QIU Lei;LIANG Lei;CAI Yan-pu;WANG Hui(National Engineering Laboratory of Fiber Sensing Technology,Wuhan University of Technology,Hubei Wuhan430070,China;Department of Engineering Structure and Mechanics,Wuhan University of Technology,Hubei Wuhan430070,China)

机构地区：[1]武汉理工大学光纤传感技术国家工程实验室,湖北武汉430070 [2]武汉理工大学工程结构与力学系,湖北武汉430070

出　　处：《机械设计与制造》2020年第8期76-79,共4页Machinery Design & Manufacture

基　　金：湖北省科技专项重大项目(2016AAA008);广东省中山市科技计划项目(2015A2028)。

摘　　要：为了分析基于柔性铰链的FBG(fiber Bragg grating)加速度计的力学传递关系和动态性能,建立了加速度计的传递矩阵法力学模型。柔性铰链主要考虑其变形而忽略质量影响,应用材料力学相关理论建立其传递矩阵。质量块主要考虑其刚体运动而忽略变形,应用理论力学相关理论建立其传递矩阵。通过分析计算,设计了一种灵敏度高于29pm/g,固有频率约为1950Hz的加速度计。测试结果表明该加速度计的灵敏度高于26pm/g,固有频率约为1850Hz。实验结果表明了所建模型的正确性。To analyze the mechanical transmission relationship and dynamic performance of FBG(fiber Bragg Grating)accelerometer,which is based on flexible hinge,the accelerometer is modeling by transfer matrix method. For flexible hinges,the deformation is mainly considered and the influence of mass is neglected. Then the transfer matrix of flexible hinge is established by the theory about material mechanics. For mass blocks,the rigid body motion is mainly considered and the deformation is neglected. Then the transfer matrix of mass block is established by the theory about theoretical mechanics. After analyzing and calculating,an accelerometer with sensitivity higher than 29 pm/g and natural frequency of about 1950 Hz is designed. The test results show that the sensitivity is higher than 26 pm/g and the natural frequency is about 1850 Hz. The experimental result shows the correctness of the model.

关 键 词：传递矩阵法 FBG 加速度计 柔性铰链 加速度灵敏度 

分 类 号：TH16[机械工程—机械制造及自动化] TB934[一般工业技术—计量学]