Sinusoidal Response of a Thin Viscoplastic Plate with Severe Temperature Gradient.

Abstract

A mathematical model for the sinusoidal vibratory response of a thin plate subjected to a through the thickness temperature gradient is developed. An 85% copper/15% niobium composite plate was modeled using a temperature and frequency dependent model of the modulus. This modulus is based on a time dependent stress-strain constitutive relationship incorporating fractional calculus. Calculations were performed in the Laplace domain which facilitates straightforward manipulation of terms and equations. The resulting formulation accounts for the change in stiffness and damping characteristics through the thickness caused by viscoplastic effects due to the temperature gradient.

Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1990
Accession Number
ADA230938

Entities

People

  • Kenneth J. Fischer

Organizations

  • Air Force Institute of Technology

Tags

DTIC Thesaurus Topics

  • Calculus
  • Composite Materials
  • Equations
  • Frequency
  • Isotherms
  • Mathematical Models
  • Mathematics
  • Models
  • Stiffness
  • Temperature Gradients
  • Thickness

Readers

  • Calculus or Mathematical Analysis
  • Mechanical Engineering/Mechanics of Materials.