*Int.J.Mech.Sci.* **38**, 1219-1229, 1996

### ON THE FRICTIONAL BEHAVIOUR OF THERMALLY LOADED

BEAMS RESTING ON A PLANE

L.V. Nikitin¹, F.D. Fischer², E.R. Oberaigner²,
F.G. Rammerstorfer³, M. Seitzberger³
and R.I. Mogilevsky¹

¹Russian Academy of Science,

Lomonosov Moscow State University,
Moscow, Russia

²Institute of Mechanics,

University for Mining and Metallurgy,
Leoben, Austria

³Institute of Lightweight Structures and Aerospace
Engineering,

TU Wien,
Vienna, Austria

**Abstract** -
The problem of an elastic beam resting on a frictional surface and loaded by
a uniform temperature moment is treated analytically and numerically.
The introduction of proper non-dimensional parameters identifies the
deformation pattern which varies with monotonically increasing temperature
load in a self-similar manner.
This fact reduces the complexity of the mathematical system considerably
and offers the derivation of the solution on an analytical basis.
Several approaches are described, discussed and compared against each other.
This problem is typical for a broader class of problems involving
Coulomb friction in beam deformation.
In addition to the fact that it is interesting from the structural as well
as from the mathematical points of view, it is of practical importance,
for example in the simulation of the cooling process of hot rolled railway
rails.

(hjb,960723)