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Type of Document	Engineer's Thesis
Author	Nelson, Richard Keith
URN	etd-01122006-141840
Persistent URL	http://resolver.caltech.edu/CaltechETD:etd-01122006-141840
Title	The deflection curve for a centrifugally loaded tape traversing an annular cap
Degree	Engineer's Degree
Option	Mechanical Engineering
Advisory Committee	Advisor Name Title Thomas Kirk Caughey Committee Chair
Keywords	none
Date of Defense	1958-01-01
Availability	unrestricted
Abstract This paper is an analysis of the deflection curve formed by a centrifugally loaded tape which traverses an annular gap. The derived differential equation which describes the system is non-linear but possesses an exact closed form solution in terms of elliptic integrals. A simplified solution of the approximate linearized differential equation is also obtained. The theoretically obtained results were checked by obtaining an actual trace of a curve on a model which represented the problem as stated. The theoretical and experimental results agreed within the limits of accuracy imposed by the apparatus used. Several different cases are discussed which indicate the effect of the significant parameters.
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