ISSN 0869-6632 (Print)
ISSN 2542-1905 (Online)

For citation:

Rekhviashvili S. S., Narozhnov V. V. Nonlinear dynamics and acoustic signals generated by periodic impacts of corundum probe on the solid surface. Izvestiya VUZ. Applied Nonlinear Dynamics, 2013, vol. 21, iss. 6, pp. 49-57. DOI: 10.18500/0869-6632-2013-21-6-49-57

This is an open access article distributed under the terms of Creative Commons Attribution 4.0 International License (CC-BY 4.0).
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Language: 
Russian
Heading: 
Applied Problems of Nonlinear Oscillation and Wave Theory
Article type: 
Article
UDC: 
531.3; 534.615; 517.958:531-133
DOI: 
10.18500/0869-6632-2013-21-6-49-57

Nonlinear dynamics and acoustic signals generated by periodic impacts of corundum probe on the solid surface

Autors: 
Rekhviashvili Sergo Shotovich, Scientific Research Institute of Applied Mathematics and Automation of the Kabardino-Balkar Scientific Center of the Russian Academy of Sciences (Research Institute of PMA KBSC RAS)
Narozhnov Viktor Valerevich, Scientific Research Institute of Applied Mathematics and Automation of the Kabardino-Balkar Scientific Center of the Russian Academy of Sciences (Research Institute of PMA KBSC RAS)
Abstract: 

Experimental and theoretical study of nonlinear dynamics and acoustic signals generated by periodic impacts of corundum probe on the solid surface are conducted. In the work two models are considered for the description of experiments: the analytical model based on the laws of conservation of energy and momentum; the model based on the numerical solution of the nonlinear equation of probe motion. It is shown that the acoustic signal amplitude increases in direct proportion to the oscillations probe amplitude. These results can be the basis of a new diagnostic techniques viscoelastic properties of metals and alloys.

Key words: 
nonlinear dynamics
elasticity theory
probe methods
the acoustic signals
numerical solution of differential equations
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Received: 
06.11.2013
Accepted: 
06.11.2013
Published: 
28.02.2014
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