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Proceedings of the Mavlyutov Institute of Mechanics


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Ilgamov M.A., Khakimov A.G. Reflection of a longitudinal travelling wave from the notch in a rod plunged into viscous liquid Proceedings of the Institute of Mechanics of Ufa Branch of RAS. 7 (2010). 129–142.
2010. Vol. 7. Issue 1, Pp. 129–142
URL: http://proc.uimech.org/uim2010.1.011,en
DOI: 10.21662/uim2010.1.011
Reflection of a longitudinal travelling wave from the notch in a rod plunged into viscous liquid
Ilgamov M.A., Khakimov A.G.
Institute of Mechanics, Ufa

Abstract

The article investigates the reflection of a longitudinal damped travelling wave from the transverse notch and its movement along an infinite rod plunged into viscous liquid. The simplest model for the stress deformed state in the notch zone is applied. The solution is found to depend on the parameters of the liquid and damping characteristics in the material of the rod and the surrounding liquid. The solution to the inverse problem makes it possible to define the coordinate of the notch and the parameter that contains its depth and length using data on both the incident and reflected waves at the observation point.