Abstract:
The investigation deals with the reflection from a distributed mass and passage of a flexural running wave along the pipeline. The dependence of the solution on mass parameters has been obtained. The solution of an inverse problem makes it possible to determine the distributed mass coordinate and its value according to the reflected waves at observation points.
Keywords:
pipeline, flexural wave, distributed mass, direct and inverse problems.
Citation:
A. G. Khakimov, “Reflection flexural wave from a distributed mass attached to the pipeline”, Mat. Model., 25:6 (2013), 80–87; Math. Models Comput. Simul., 6:1 (2014), 108–113
\Bibitem{Kha13}
\by A.~G.~Khakimov
\paper Reflection flexural wave from a distributed mass attached to the pipeline
\jour Mat. Model.
\yr 2013
\vol 25
\issue 6
\pages 80--87
\mathnet{http://mi.mathnet.ru/mm3376}
\transl
\jour Math. Models Comput. Simul.
\yr 2014
\vol 6
\issue 1
\pages 108--113
\crossref{https://doi.org/10.1134/S2070048214010062}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84925946642}
Linking options:
https://www.mathnet.ru/eng/mm3376
https://www.mathnet.ru/eng/mm/v25/i6/p80
This publication is cited in the following 2 articles:
Akhtyamov A.M., Il'gamov M.A., “Overview of Local Rod Defect Detection Studies”, J. Mach. Manuf. Reliab., 49:2 (2020), 87–97
A. G. Khakimov, “Review of studies on the computational diagnosis of local defects of structural elements”, Proceedings of the Mavlyutov Institute of Mechanics, 14:1 (2019), 1–9