Sensing the elliptical torus
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Sensing the elliptical torus

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Published by Dept. of Energy, Los Alamos Scientific Laboratory, for sale by the National Technical Information Service] in Los Alamos, N.M, [Springfield, Va .
Written in English


  • Elliptic functions,
  • Toroidal harmonics,
  • Mathematics

Book details:

Edition Notes

StatementE. D. Cashwell, C. J. Everett
SeriesLA ; 7187-MS
ContributionsEverett, C. J. 1914- joint author, Los Alamos Scientific Laboratory, United States. Dept. of Energy
The Physical Object
Pagination6 p. :
ID Numbers
Open LibraryOL14880132M

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The natural frequencies of toroidal shells of revolution with a hollow elliptical cross section and variable thickness are determined by the Ritz method from a three-dimensional theory, whereas traditional shell theories are mathematically : Jae-Hoon Kang. In fact, this paper demonstrates that the parameterizations for circular torus knots originally introduced in [10] and [11] are actually a special case of the more general elliptical torus knot. The potential (strain) and kinetic energies of the torus are formulated, and the upper bound values of the frequencies are obtained by a minimization procedure. Y. Kobayashi, Y. Ohta and S. Yokota, Free vibration of a toroidal shell with elliptical cross-section, J. Sound Vib Micro-sensing characteristics and modal voltages of linear Cited by: 1. (See [Whittaker-Watson, p. ]). Since these parameterizing functions are doubly periodic, the elliptic curve can be identified with a period parallelogram (in fact a square in this case) with the sides glued together i.e. a torus. Note that the corners of the parallelogram get identified to the same point "at infinity" on the torus.

The elliptical torus shown on the welcome page has a = 0. Up: The Elliptical Torus. The Geometry Center Home Page Topological Zoo Welcome Page. Comments to: [email protected] Created: Aug 7 Last modified: Wed Aug 16 Development of elliptical torus reflector for overlapping multi-beam transmission and reception for multistatic operation (). Fabrication of reflector and experimental proof of principle (). Multistatic imaging with elliptical torus using original Tx/Rx chipset (). One of the many discoveries by Voyagers 1 and 2 during their flyby of Jupiter was the detection of radio emission at kilometric wavelengths1,2 in the frequency range 20– kHz. Broadband jovian. Non-dispersive infrared (NDIR) is a physical sensing technique that provides a number of advantages over catalytic gas sensing method. The main feature of this technique is that fixed narrow-band filters are utilized with separate IR detectors to detect a few gas absorption lines across a .

Manuals & Diagrams. Search for the owner’s manual, diagrams, and other guides associated with your product by entering the model name below.   Fig. 2 illustrates an elliptical torus. Assuming the ellipse cross-section to be taller than it is wide, R 1 is the minor axis radius of the ellipse and R 2 is the major axis radius. The distance from the center of the ellipse to the axis of rotation is indicated by R 3. @article{osti_, title = {''Sensing'' the elliptical torus}, author = {Cashwell, E D and Everett, C J}, abstractNote = {A method is given for testing the location of an arbitrary point P=(x,y,z) relative to the toroidal surface generated by rotation of an ellipse (y - y-bar)/sup 2//b/sup 2/ + (z - z-bar)/sup 2//c/sup 2/ = 1, b,c,z-bar > o, about the Y : E.D. Cashwell, C.J. Everett. The book opens with an introduction to the history of remote sensing, starting from when the phrase was first coined. It goes on to discuss the basic concepts of the various systems, including atmospheric and ocean, then closes with a detailed section on land s: 1.