Sinusoidal Response of a Thin Viscoplastic Plate with Severe Temperature Gradient
Date of Award
11-1990
Document Type
Thesis
Degree Name
Master of Science in Aeronautical Engineering
Department
Department of Aeronautics and Astronautics
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.
AFIT Designator
AFIT-GAE-ENY-90D-06
DTIC Accession Number
ADA230938
Recommended Citation
Fischer, Kenneth J., "Sinusoidal Response of a Thin Viscoplastic Plate with Severe Temperature Gradient" (1990). Theses and Dissertations. 7842.
https://scholar.afit.edu/etd/7842