THE DYNAMIC STABILITY OF A NONUNIFORMLY HEATED ELASTIC ROD,
Abstract
The influence of the interconnection of temperature and force effects, periodic in time, on the stability of an elastic rod is studied. The modulus of elasticity in its relation to temperature is used to calculate the parametric effect of temperature on oscillations of the heated rod. The law of temperature field change is obtained on the basis of an exact solution of the Fourier heat equation under the following conditions: convection heat exchange between the lateral surface of the rod and the surrounding medium, and temperature change periodic in time at one end of the rod and thermal isolation at the other. A 'quasi-stationary' heat process which does not depend on the initial thermal state of the system and is defined by a periodic function of time is studied. The variation method of Bubnov-Galerkin is used to solve the problem of heated rod oscillations. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Sep 27, 1968
- Accession Number
- AD0683113
Entities
People
- G. A. Kilchinskaya
Organizations
- National Air and Space Intelligence Center