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Digital simulation of a vertical reference system incorporating random error sources

ScholarsArchive at Oregon State University

Field Value
Title Digital simulation of a vertical reference system incorporating random error sources
Names Rover, Jack Terry (creator)
Stone, Solon A. (advisor)
Date Issued 1968-05-01 (iso8601)
Note Graduation date: 1968
Abstract The vertical reference system being considered utilizes a two-degree-of-freedom gyroscope configured as a vertical gyro. Each
gimbal erection circuit forms a second-order feedback control system.
Gyros are susceptable to a number of error sources. In view
of the closed loop application being considered, all error sources are
of negligible consequence with the exception of friction. With friction
included in the gyro model, the inner and outer gimbal erection circuits
cease to exist as independent second-order systems. Friction
couples the gimbal erection circuits together in a type of algebraic
loop.
Bearing friction is a random phenomenon best described by a
Gaussian distribution. Slip-ring friction is best categorized as a
sliding friction. For simulation purposes, slip-ring friction is conveniently handled using the Amontons-Coulomb description.
The digital technique is better suited to this simulation problem
primarily because of the many decision making elements required.
The Gaussian distribution needed to produce the random bearing
torques is generated by sampling from the more easily produced uniform
distribution.
The simulation program is written in the FORTRAN IV programming
language. Because of the special features required in
simulating the vertical reference system, it was more feasible to develop
the simulation program as a self-contained package complete
with an integration routine. A second-order Runge-Kutta integration
routine was selected.
Using an integration interval of 0.02 seconds, the simulation
program produces excellent results when compared with the response
characteristic of an actual vertical reference system.
Genre Thesis/Dissertation
Topic Gyroscopic instruments
Identifier http://hdl.handle.net/1957/47119

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