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    기술보고서 게시판 내용
    타이틀 On the Motion Equation of an Elastically Supported Two Degree of Freedom Gyro
    저자 Hirokimi SHINGU
    Keyword
    URL http://send.nal.go.jp/send/jpn/dlpdf.php3/naltm00568.pdf?id=NALTM0000568
    보고서번호 NAL TM-568
    발행년도 1987.4
    출처 NAL (National Aerospace Laboratory of Japan)
    ABSTRACT This report describes a method of deriving a stricter motion equation for TDG (Tuned Dry Gyro) than Craig’s, which has been used in generalized solutions, and comparison is made between the two equations. In order to reduce the complexity of mathematical manipulation, Craig’s solution for TDG is derived under the assumption that rotor displacement angle θ is very small, and the derived expressions are valid over a range where sin θ(approximately)=θ, cosθ(approximately)=1. In this study the motion of an ETG(Elastically Supported Two Degree of Freedom Gyro), which is defined as a TDG where the above assumption is neglected, is theoretically analyzed, and the analytic solution about a single-gimballed model of ETG is presented. The behaviers of TDG and ETG are simulated using various parameters of TDG developed in Japan as attitude sensors of artificial satellites and their difference is quantitatively evaluated. The resulting numerical solution shows that Craig’s solution becomes inaccurate with an plitude and frequency of input angle.

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