CAJ | 학술논문

品质因数是决定微机械陀螺结构性能的重要参数。传统测量振动结构品质因数的幅频曲线半功率带宽法需要记录大量幅频响应数据并需作离线处理，测量效率很低。通过分析微机械陀螺动力学模型发现，品质因数可根据谐振频率及相频函数在谐振频率点处的一阶导数值计算，且相频曲线在谐振频率点附近近似为线性。利用这些特点，提出一种新的品质因数在线快速测量方法。首先，在谐振频率附近对陀螺进行激励，得到相频数据；然后，使用递推最小二乘法估计出相频曲线斜率；最后根据该斜率和谐振频率值计算出品质因数。新方法不需要存储和离线分析频率响应数据，可以自动确定品质因数。仿真和实验验证了本文方法的正确性和可行性。
품질인수시결정미궤계타라결구성능적중요삼수。전통측량진동결구품질인수적폭빈곡선반공솔대관법수요기록대량폭빈향응수거병수작리선처리，측량효솔흔저。통과분석미궤계타라동역학모형발현，품질인수가근거해진빈솔급상빈함수재해진빈솔점처적일계도수치계산，차상빈곡선재해진빈솔점부근근사위선성。이용저사특점，제출일충신적품질인수재선쾌속측량방법。수선，재해진빈솔부근대타라진행격려，득도상빈수거；연후，사용체추최소이승법고계출상빈곡선사솔；최후근거해사솔화해진빈솔치계산출품질인수。신방법불수요존저화리선분석빈솔향응수거，가이자동학정품질인수。방진화실험험증료본문방법적정학성화가행성。
Quality factor is a key parameter determining the performance of the micro-machined gyroscope.The conventional measurement,the half-power bandwidth method,is low in efficiency,since it requires the user to store and deal with a multitude of amplitude-frequency response data.Based on the analyses on the dynamics model,the quality factor can be calculated according to the resonance frequency and first derivation of the phase-frequency function at the resonance frequency point,and the phase-frequency graph is approximately linear near the resonance point. Upon these characteristics,an online and quick quality factor measurement method was put forward.First,the gyroscope was excited near the resonance point to obtain the phase-frequency data.Then,the slope of the phase frequency was estimated by using the recursive least squares method.Finally,the quality factor was obtained according to the slope and the resonant frequency.The simulation and experimental results verify the correctness and feasibility of the proposed method.