TORSIONAL WAVE SCATTERING IN TWO-LAYER PIPE WITH ACCOUNT FOR CONTACT RIGIDITY

The purpose of the paper is to study the wave propagation in a two-layer pipe, taking into account the rigidity of the contact between its layers. It is considered by solving the equation of motion for the vector and scalar potentials. A dispersion equation describing the frequency distribution of t...

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Main Authors: Konstantin E. Abbakumov, Nikolay V. Stepanenko
Format: Article
Language:Russian
Published: Saint Petersburg Electrotechnical University "LETI" 2018-12-01
Series:Известия высших учебных заведений России: Радиоэлектроника
Subjects:
Online Access:https://re.eltech.ru/jour/article/view/279
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author Konstantin E. Abbakumov
Nikolay V. Stepanenko
author_facet Konstantin E. Abbakumov
Nikolay V. Stepanenko
author_sort Konstantin E. Abbakumov
collection DOAJ
description The purpose of the paper is to study the wave propagation in a two-layer pipe, taking into account the rigidity of the contact between its layers. It is considered by solving the equation of motion for the vector and scalar potentials. A dispersion equation describing the frequency distribution of the phase velocities of waves in the waveguide under investigation is derived. In order to take into account the degree of contact rigidity between layers additional terms are added to the boundary conditions, including the normal (kGN) and tangential (kGT) contact rigidity coefficients. It is shown that torsional waves are separated from other types of waves and can be considered separately. The example of a numerical solution of the dispersion equation shows the possible behavior of dispersion curves without regard to the contact rigidity. The similar problem solution is provided with allowance for contact rigidity at various perforation coefficients. A conclusion is drawn on the effect of contact between layers on torsional wave behavior. The similar method solves the problem for a homogeneous pipe with internal stratification. Recommendations are given for taking into account the revealed regularities in the development of ultrasonic methods of control based on torsional wave propagation.
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publishDate 2018-12-01
publisher Saint Petersburg Electrotechnical University "LETI"
record_format Article
series Известия высших учебных заведений России: Радиоэлектроника
spelling doaj-art-4b8d00a04b7b4caebab576cdd32367c92025-08-20T02:58:54ZrusSaint Petersburg Electrotechnical University "LETI"Известия высших учебных заведений России: Радиоэлектроника1993-89852658-47942018-12-01069110110.32603/1993-8985-2018-21-6-91-101262TORSIONAL WAVE SCATTERING IN TWO-LAYER PIPE WITH ACCOUNT FOR CONTACT RIGIDITYKonstantin E. Abbakumov0Nikolay V. Stepanenko1Saint Petersburg Electrotechnical University "LETI"Saint Petersburg Electrotechnical University "LETI"The purpose of the paper is to study the wave propagation in a two-layer pipe, taking into account the rigidity of the contact between its layers. It is considered by solving the equation of motion for the vector and scalar potentials. A dispersion equation describing the frequency distribution of the phase velocities of waves in the waveguide under investigation is derived. In order to take into account the degree of contact rigidity between layers additional terms are added to the boundary conditions, including the normal (kGN) and tangential (kGT) contact rigidity coefficients. It is shown that torsional waves are separated from other types of waves and can be considered separately. The example of a numerical solution of the dispersion equation shows the possible behavior of dispersion curves without regard to the contact rigidity. The similar problem solution is provided with allowance for contact rigidity at various perforation coefficients. A conclusion is drawn on the effect of contact between layers on torsional wave behavior. The similar method solves the problem for a homogeneous pipe with internal stratification. Recommendations are given for taking into account the revealed regularities in the development of ultrasonic methods of control based on torsional wave propagation.https://re.eltech.ru/jour/article/view/279guided wavestorsional wavesnon-destructive testingultrasonicpipedispersion curves
spellingShingle Konstantin E. Abbakumov
Nikolay V. Stepanenko
TORSIONAL WAVE SCATTERING IN TWO-LAYER PIPE WITH ACCOUNT FOR CONTACT RIGIDITY
Известия высших учебных заведений России: Радиоэлектроника
guided waves
torsional waves
non-destructive testing
ultrasonic
pipe
dispersion curves
title TORSIONAL WAVE SCATTERING IN TWO-LAYER PIPE WITH ACCOUNT FOR CONTACT RIGIDITY
title_full TORSIONAL WAVE SCATTERING IN TWO-LAYER PIPE WITH ACCOUNT FOR CONTACT RIGIDITY
title_fullStr TORSIONAL WAVE SCATTERING IN TWO-LAYER PIPE WITH ACCOUNT FOR CONTACT RIGIDITY
title_full_unstemmed TORSIONAL WAVE SCATTERING IN TWO-LAYER PIPE WITH ACCOUNT FOR CONTACT RIGIDITY
title_short TORSIONAL WAVE SCATTERING IN TWO-LAYER PIPE WITH ACCOUNT FOR CONTACT RIGIDITY
title_sort torsional wave scattering in two layer pipe with account for contact rigidity
topic guided waves
torsional waves
non-destructive testing
ultrasonic
pipe
dispersion curves
url https://re.eltech.ru/jour/article/view/279
work_keys_str_mv AT konstantineabbakumov torsionalwavescatteringintwolayerpipewithaccountforcontactrigidity
AT nikolayvstepanenko torsionalwavescatteringintwolayerpipewithaccountforcontactrigidity