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The frequencies of cantilever wings in beam and torsional vibrations / by C.P. Burgess.

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Format:
Book
Government document
Author/Creator:
Burgess, Charles Paine, 1888- author.
Contributor:
United States. National Advisory Committee for Aeronautics, issuing body.
Series:
Technical note (United States. National Advisory Committee for Aeronautics) ; 746.
Technical note / National Advisory Committee for Aeronautics ; No. 746
Language:
English
Subjects (All):
Airplanes--Wings.
Airplanes.
Vibration (Aeronautics).
Torsion.
Mathematical analysis.
torsional stress.
Physical Description:
1 online resource (9 pages, 4 unnumbered pages).
Place of Publication:
Washington, [D.C.] : National Advisory Committee for Aeronautics, 1940.
Summary:
Methods are described for calculating the period and frequency of vibration of cantilever wings and similar structures in which the weight and moment of inertia vary along the span. Both the beam and torsional frequencies may be calculated by these methods. The procedure is illustrated by examples.
It is shown that a surprisingly close approximation to the beam frequency may be obtained by a very brief calculation in which curvature of the wing in vibration is assumed to be constant. A somewhat longer computation permits taking account of the true curvature of the beam by a series of successive approximations which are shown to be strongly convergent.
Analogous methods are applied to calculations of the torsional frequency. For the first approximation it is assumed that the angle of twist varies linearly along the semispan. The true variation of the twist is computed by successive approximations which are strongly convergent, as in the case of beam vibrations.
Notes:
Description based on online resource, title from title screen (viewed May 29, 2020).
"January 1940."
No Federal Depository Library Program (FDLP) item number.
Electronic reproduction. Denton, Texas : University of North Texas, 2011. Electronic reproduction from print master produced by University of North Texas.
Other Format:
Print version: Burgess, Charles Paine, 1888- The frequencies of cantilever wings in beam and torsional vibrations
OCLC:
1156324012

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