摘要：In the most common mathematical model for a moving load on a
continuously- supported flexible plate, the plate is assumed thin and
elastic. An exception is the inclusion of viscoelasticity in the
theory for the response of a floating ice plate, where the deflexion at
the critical load speed corresponding to the minimum phase speed of
hybrid flexural-gravity waves consequently approaches a steady state.
This is in contrast to the elastic theory, where the response is
predicted to grow continuously at this critical load speed. In the
theory for a floating ice plate, the dominant pressure due to the
underlying water is inertial, introduced via a velocity potential
and the Bernoulli equation (assuming non-cavitation at the
plate-water interface). On the other hand, the classical Winkler
representation used in early railway engineering analysis
corresponds to retaining a term which is generally negligible in the
ice plate context. Critical load speeds are consequently predicted
to be much higher, at wavelengths correspondingly much lower, for
commonly accepted railway engineering parameters. Other models might
be considered.
