振动陀螺仪单向时滞耦合系统的摄动分析  

Perturbation Analysis for a Unidirectionally Delay-Coupled Vibratory Gyroscope System

作　　者：黎丽 徐鉴[1] LI Li;XU Jian(School of Aerospace Engineering and Applied Mechanics,Tongji University,Shanghai 200092,China)

机构地区：[1]同济大学航空航天与力学学院

出　　处：《力学季刊》2019年第4期666-673,共8页Chinese Quarterly of Mechanics

基　　金：国家自然科学基金(11572224,11772229)

摘　　要：针对振动陀螺仪单向时滞耦合系统,研究了角速度、耦合强度、耦合时滞与系统输出信号之间的关系,着重关注耦合时滞对待检测角速度测量结果的影响.本文采用摄动法对振动陀螺仪单向时滞耦合系统进行理论分析,得到了系统输出信号、系统振动边界和待检测角速度的近似表达式,并将数值和近似计算结果进行了对比.理论分析结果与数值结果比较吻合,验证了运用摄动法分析振动陀螺仪单向时滞耦合系统的有效性,也表明了在运用摄动法分析系统时具有局限性.For a unidirectionally delay-coupled vibratory gyroscope system,we investigate the relations among angular rate,coupling strength,coupling delay and the output signals,focusing on the effect of time delay on the measurements of the angular rate.In the present paper,perturbation method is applied to analyze the system,and the approximate expressions of the output signals,the oscillating boundaries and the angular rate are obtained.By comparing the theoretical results with the numerical results,the validity of the perturbation method is verified.Meanwhile,the limitations of the perturbation method are presented.

关 键 词：振动陀螺仪 时滞耦合 摄动法 HOPF分岔 时空模式 

分 类 号：O322[理学—一般力学与力学基础] O313[理学—力学]