ON THE NONLINEAR FLUTTER OF A PLATE FIXED ALONG ITS PERIMETER (O NELINEINOM FLATTERE PLASTINY, ZASHCHEMLENNOI PO KONTURU),

Abstract

An investigation was made of the stability of rectangular plane plates clamped along the edge, with one side in a gas stream of large supersonic velocity. The normal deflection is assumed to be comparable with the thickness but small with regard to the length of the sides. Aerodynamic forces are determined on the basis of an asymptotic formula valid for velocities considerably exceeding the velocity of sound. The initial system of equations of motion is reduced to two ordinary differential equations by Galerkin's method. Periodic solutions of these are found by the method of small parameter. The calculations show that for moderate values of mu = Mh/a (M being Mach's number, h the thickness, a the length of the plate) the amplitude is of the order of h and the excitation of flutter is soft. (Author)

Document Details

Document Type
Technical Report
Publication Date
Aug 31, 1967
Accession Number
AD0673653

Entities

People

  • B. P. Makarov

Organizations

  • National Air and Space Intelligence Center

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Aerodynamic Forces
  • Amplitude
  • Deflection
  • Differential Equations
  • Equations
  • Equations Of Motion
  • Excitation
  • Mathematics
  • Physical Properties
  • Thickness

Fields of Study

  • Physics

Readers

  • Fluid Dynamics.
  • Information Retrieval
  • Structural Dynamics.

Technology Areas

  • Hypersonics