Dieterman H.A. and Metrikine
A.V. |
The equivalent stiffness of a half-space interacting with a beam. Critical velocities of a moving load along the beam |
European Journal of Mechanics A/Solids 15(1), 67-90, 1996 |
Summary. Expressions are derived for the equivalent stiffness of an elastic
half-space interacting with a beam with finite width. It is shown that the
equivalent stiffness depends on the frequency and the wave number of the
waves in the beam. The dependency is severe when the phase velocity of the
waves in the beam is close to the velocity of the Rayleigh waves in the
half-space. Expressions for the equivalent stiffness for long waves relative to
the beam width are derived from general results and are approximated in terms
of elementary functions. Critical velocities of a constant load moving at
constant speed along the Euler-Bernoulli beam are determined. It is shown
that there are two critical velocities, the first one equal to the velocity
of Rayleigh waves in the half-space and the second one mostly slightly
smaller. |