NATURAL FREQUENCIES OF A PLATE WITH A TIME-VARIABLE MODULUS OF ELASTICITY,

Abstract

The natural frequencies of a thin, isotropic, simply supported rectangular plate of constant thickness with sides a and b is discussed. The modulus of elasticity of the plate material varies with time. Assuming that the hypothesis on the preservation of normals is valid, and taking into account the inertia forces of the plate, a second-order differential equation is written (in accordance with S. P. Timoshenko's theory) which describes the free vibration of the plate under discussion. A solution of this equation, analogous to that used by the author in investigating the vibration of a thin plate in a high-temperature field, is written which is correct only for certain instants during vibration.

Document Details

Document Type
Technical Report
Publication Date
Mar 03, 1969
Accession Number
AD0687237

Entities

People

  • V. Ts. Gnuni

Organizations

  • National Air and Space Intelligence Center

Tags

DTIC Thesaurus Topics

  • Differential Equations
  • Elastic Properties
  • Equations
  • Frequency
  • High Temperature
  • Modulus Of Elasticity
  • Resonant Frequency
  • Vibration

Readers

  • Calculus or Mathematical Analysis
  • Structural Dynamics.