Volume 3, Number 4, Fall 1995
THE FREE VIBRATIONS OF AN AXIALLY MOVING
STRING IN A BOUNDED REGION
Y.M. RAM AND J. CALDWELL
Abstract. This paper presents a detailed study of the
initial-boundary value travelling string problem. A time invariant
functional is formulated. Then the uniqueness of the
solution is shown. A closed form solution, which can be implemented
with equal ease for both large and small time, is
given. A physical interpretation of the solution in terms of
wave propagation and reflection is presented. The conditions
under which the problem is properly posed are investigated.
Some engineering applications are discussed.