Accession Number : AD0675262

Title :   HARMONIC VIBRATIONS OF ELASTIC PLATES IN A SUBSONIC STREAM,

Corporate Author : FOREIGN TECHNOLOGY DIV WRIGHT-PATTERSON AFB OHIO

Personal Author(s) : Kopzon,G. I.

Report Date : 11 SEP 1967

Pagination or Media Count : 15

Abstract : The article contains a purely theoretical study on harmonic vibrations of elastic airfoils in a subsonic stream of different properties. The study considers an infinite wing and, assuming it an elastic flat plate, investigates its own vibrations, taking into consideration the influence of the stream properties. An initial differential equation and derived formulas are described. The small parameter method developed by A. N. Krylov is employed throughout the study. Vibrations of a thin plate in a subsonic stream are studied utilizing the results of the work, which was also carried out by means of the above-mentioned method. Vibrations of a thin airfoil in the stream of both an ideal, noncompressible, and a compressible liquid, are investigated and relevant formulas derived. A general method is given for computing frequency of natural vibrations equally applicable to all cases. It is stated that the results obtained are readily applicable to acoustic problems, such as vibration of a thin infinite plate with periodical distribution of parameters along its length in a quiescent gas (the case of high tones) and in a liquid. One example of such a computation for each medium is given, together with the formulas employed. (Author)

Descriptors :   (*AIRFOILS, SUBSONIC CHARACTERISTICS), FLUTTER, VIBRATION, ELASTIC PROPERTIES, INCOMPRESSIBLE FLOW, COMPRESSIBLE FLOW, FREQUENCY, USSR

Subject Categories : Aerodynamics
      Fluid Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE