Abstract
Stationary waves excited by a uniformly moving constant load in a string on a nonlinear visco-elastic foundation are investigated. An analysis is performed in a phase plane. It is shown that the case of the “stiff” nonlinearity is not qualitatively different from the linear case. The case of the “soft” nonlinearity has the following peculiarities: (1) if the velocity of the load does not exceed that of waves in the string, then stationary string deflection caused by the load is a discontinuous function of the load magnitude; (2) if the velocity of the load exceeds the velocity of waves, then there always exists a load magnitude starting from which the string deflection in the steady-state regime becomes unlimited.
Translated title of the contribution | Stationary waves in a nonlinear elastic system interacting with a moving load |
---|---|
Original language | Russian |
Pages (from-to) | 647-650 |
Journal | Акустический журнал |
Volume | 40 |
Issue number | 4 |
Publication status | Published - 1994 |
Externally published | Yes |