Critical Speeds With Repeated Loading abstract
Critical Speeds and the Response of a Tensioned Beam
on an Elastic Foundation to Repetitive Moving Loads
G.G. Adams
Summary
A finite length tensioned beam on a damped elastic foundation is acted upon
by an infinite series of equally spaced and steadily moving concentrated
transverse loads. The deflection response of the beam is obtained by an
expansion in terms of the normal modes of vibration. Numerical results are
determined for various values of the load-spacing, beam tension, foundation
stiffness and damping, and for a range of load-speeds. It is found that the
critical velocities for repetitive loading exist at significantly lower
speeds than would be expected based upon the well-known critical speed for a
single moving load. An interpretation in terms of forced vibration response
is given.
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