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单自由度陀螺寻北仪的运动规律分析
引用本文:郭金运,李成尧.单自由度陀螺寻北仪的运动规律分析[J].四川测绘,1995,18(2):57-61.
作者姓名:郭金运  李成尧
作者单位:山东矿业学院
摘    要:根据傅科第一类回转仪的设想模型,本文用分析力学的方法研究了单自由度陀螺寻北仪的定向原理,分析了陀螺轴的运动规律,建立了多种因素如陀螺力矩,常阻尼力矩和空气阻尼等影响下的运动微分方程,分别求出对应解,并用小扰动理论研究了稳定性。

关 键 词:单自由度陀螺  运动规律  稳定性  陀螺经纬仪

ANALYSIS OF LAW OF MOTION OF SDFG MERIDIAN FINDER
Guo Jinyun.ANALYSIS OF LAW OF MOTION OF SDFG MERIDIAN FINDER[J].Surveying and Mapping of Sichuan,1995,18(2):57-61.
Authors:Guo Jinyun
Institution:Shandona Institute of Minina
Abstract:Aaccording to the model of the first kind of Foucault' s gyro, this paperstudies the behaviout of SDFG Metidian Finder duting the otientation. anaIyare the lawof motion of gyro axis with the methed of analytical machanics. The differential equations of motion under the influence of many factors, such as top moment, constantdamping torque and air damping etc. are established, and their responding solutions arerespectively worked out. Furthermore, the study on its stability is made with the littledisturbance theory.
Keywords:SDFG  analytical mechanics  law of motion  stability
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