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Full-Text Articles in Physical Sciences and Mathematics

A Numerical, Time Domain Solution For The Response Of A Gimbal Supported Gyro, Floyd Stanley Hall Jan 1972

A Numerical, Time Domain Solution For The Response Of A Gimbal Supported Gyro, Floyd Stanley Hall

Doctoral Dissertations

"This paper develops an algorithm to generate a numerical solution for the response of a gimbal supported gyro to arbitrary forcing functions and base motion, and includes the normal parasitic effects of bearing friction, viscous pivot damping, and pivot spring constants. There are relatively few restrictions on gyro and gimbal structure geometry. Solution accuracy is limited only by the computing machine accuracy; the algorithm being an explicit function of the input data. The algorithm is fast and requires only a moderate amount of computer memory"--Abstract, page ii.


The Scattering Of Elastic Waves By Void Cavities, Jerry Lee Davis Jan 1972

The Scattering Of Elastic Waves By Void Cavities, Jerry Lee Davis

Doctoral Dissertations

"Elastodynamic multipole theory, the theory of least squares, and the theory of integral representation of solutions are employed in solving certain problems involving an elastic solid containing a source and a scatterer. Both the source and scatterer are of finite geometrical extent; they occupy non-intersecting regions. The source is separable, i.e., its mathematical specification consists of an arbitrary vector function of position multiplied by a time function, which is further assumed to be a sinusoid. The scatterer emphasized is a finite void cavity of arbitrary shape; however, scatterers composed of rigid material may also be treated. The calculation of a …


The Average Dissipation Curve Of An Attenuative Layered Earth Medium, Joong Hee Chun Jan 1972

The Average Dissipation Curve Of An Attenuative Layered Earth Medium, Joong Hee Chun

Doctoral Dissertations

"A feasible method of estimating the attenuative properties of a layered earth medium from a reflection seismogram has been developed. An average attenuation factor of n layers in the least squares sense is designated as ß and its usefulness in real applications is investigated. Techniques of extracting dissipation factors from both noise free and noisy reflection seismic traces are discussed. In order to describe the change of the factors with an increase of depth, an average dissipation curve the form of which is similar to the average velocity of layered medium is also introduced. Both the ß and the average …