Investigation of the accelerating suspended gyroscope as applied to gyrotheodolite azimuth determination

Kebbeih, Y, 1999. Investigation of the accelerating suspended gyroscope as applied to gyrotheodolite azimuth determination. PhD, Nottingham Trent University.

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Abstract

The Wild GAKl is a surveying gyroscope coupled with a theodolite. This instrument can be used to orientate an underground survey baseline relative to true North. During the operation of the gyro, the spinner is run up to approximately 22,000 r.p.m. which causes the gyro, when released, to seek true North and oscillate about the meridian. These oscillations can be oscillations through an eyepiece. The movement of oscillations is seen in the form of a moving mark against a background of scale divisions. From an analysis of this movement, an orientation with respect to North can be established. Jeudy established the theory of the motion of the suspended gyroscope. However, he assumed that the motor drives the gyroscope spinner at a constant angular velocity, which in practice is not true. In this research, the movement equations of the suspended Gyrotheodolite are derived taking account of all significant terms. These terms reflect the changes in the physical environment within the suspended gyroscope taking into account the fact that the angular velocity of the spinner is not constant. These equations are linearised to get oscillation equations. Having resolved these equations, there are two differential equations, which are, in turn, resolved to get a new mathematical model concerned with the motion of the moving mark. This model deals with the general and practical cases. For example, when the gyro is used in a tunnel where the battery, which runs down with time, is the main source of power.

A new method of time capture and "data" processing is described. This method requires a video camera, video imagery, frame analysis and a computer. The method may be used in many practical applications but it must be acceptable for mine safety for electric equipment if used in a mine. The method leads to a great increase in the quantity and precision of time observations. The observations have a precision five times better than those observed by manual methods. After processing, the time data is used in a rigorous mathematical model and processed by least squares technique. This leads to high quality solutions and statistical assessments. Least squares adjustments showed that the computed values of the midpoint of swing might be determined to standard deviations of less than one second of arc.

Item Type:	Thesis
Creators:	Kebbeih, Y.
Date:	1999
ISBN:	9781369325409
Identifiers:	Number Type PQ10290291 Other
Divisions:	Schools > School of Architecture, Design and the Built Environment
Record created by:	Linda Sullivan
Date Added:	28 Jun 2021 11:44
Last Modified:	13 Dec 2023 14:55
URI:	https://irep.ntu.ac.uk/id/eprint/43264

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