From Linear Mechanics to Nonlinear Mechanics Page: 2 of 19
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TECH LIBRARY KAFB, NM
NATIONAL ADVISORY COMMITTEE FOR AERONAUTICS Il1 I
TECHNICAL MEMORANDUM 1396
FROM LINEAR MECHANICS TO NONLINEAR MECHANICS1
By Julien Loeb2 '
SUMMARY
It is first recalled how, in the technique of telecommunication, a
nonlinear system (the modulator) gives a linear transposition of a signal
and then it is shown that a similar method permits linearization of
electromechanical devices or nonlinear mechanical devices (relays, direc-
tional loops of radiogoniometry, etc.). The function of sweep plays
the same role as the carrier wave in radioelectricity.
1. INTRODUCTION
For about 10 years, the introduction of the methods perfected by
telecommunication engineers into the calculation of mechanical or
electromechanical systems has constituted certain progress.
This is known to be due to the fact that the electrical systems,
since they are in first approximation of a linear nature, could be
thoroughly studied by means of mathematical tools already developed
during the last century, such as matrix calculus, symbolical analysis,
etc.
To the extent as they may be considered linear, the mechanical or
electromechanical systems can be treated by the same methods.
'"De la mecanique linbaire a la mcanique non linUaire." Annales
des T414communications, vol. 5, no. 2, Feb. 1950, pp. 65-71.
1The author discussed the subject of this article orally on June 28,
1949 and October 18, 1949, during the Conferences of the Study Center of
Flight Mechanics, organized by the Special-Engines Section of the Aero-
nautical Technical Service. Moreover, the author had, partially treated
this subject in his Preliminary Note No. 144 of the National Laboratory
of Radioelectricity.
2Chief Engineer at the C.N.E.T., Head of the Department Remote
Control and Counter Measures.
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Loeb, Julien. From Linear Mechanics to Nonlinear Mechanics, report, October 1955; (https://digital.library.unt.edu/ark:/67531/metadc62864/m1/2/: accessed April 23, 2024), University of North Texas Libraries, UNT Digital Library, https://digital.library.unt.edu; crediting UNT Libraries Government Documents Department.