Stationary waves in a nonlinear elastic system interacting with a moving load

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Abstract

Stationary waves excited by a uniformly moving load in a nonlinear, elastic, one-dimensional system are investigated. The elastic system is simulated by a string lying on a viscous elastic foundation. An analysis is performed on a phase plane. It is shown that the case of strict nonlinearity of the elastic foundation is not qualitatively different from the linear case. The case of mild nonlinearity has the following differences: (1) if the speed of the load does not exceed that of transverse waves in the string, then string deflection caused by the load is a discontinuous function of the load; (2) if the speed of the load exceeds the speed of transverse waves in the string, then there always exists a load value from which string deflection in a steady-state regime becomes unlimited.

Original languageEnglish
Pages (from-to)647-650
Number of pages4
JournalRadiotekhnika i Elektronika
Volume40
Issue number4
Publication statusPublished - 1 Jul 1994
Externally publishedYes

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