Waveguide analysis for ultrasonic medical instruments (comparison of different methods)

Transition matrices are derived on the basis of some analytical solutions for a number of waveguides. Initial parameters method is used to analyze the waveguide longitudinal oscillations. This paper contains a comparative analysis of different types of concentrators. The waveguide design scheme pres...

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Main Authors: Grigoryev Yuri V., Aung Pyae Phyo
Format: Article
Language:English
Published: EDP Sciences 2018-01-01
Series:MATEC Web of Conferences
Online Access:https://doi.org/10.1051/matecconf/201822604007
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author Grigoryev Yuri V.
Aung Pyae Phyo
author_facet Grigoryev Yuri V.
Aung Pyae Phyo
author_sort Grigoryev Yuri V.
collection DOAJ
description Transition matrices are derived on the basis of some analytical solutions for a number of waveguides. Initial parameters method is used to analyze the waveguide longitudinal oscillations. This paper contains a comparative analysis of different types of concentrators. The waveguide design scheme presents a straight bar of variable cross-section with different boundary conditions. For given concentrator arrangements, the amplitude axial displacements and longitudinal forces in the ultrasonic medical instrument (UMI) are calculated for a certain excitation frequency. Numerical method for calculation of eigenfrequencies and eigenmodes of the ultrasonic medical instrument (UMI) waveguide is presented. Analysis of the cantilever straight-line concentrator based on the methods of transition matrices and numerical integration by the Runge-Kutta method are under comparison. Sufficient agreement of the results is demonstrated.
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spelling doaj.art-389488c9309b4033b40885cae98c2bea2022-12-21T21:58:21ZengEDP SciencesMATEC Web of Conferences2261-236X2018-01-012260400710.1051/matecconf/201822604007matecconf_dts2018_04007Waveguide analysis for ultrasonic medical instruments (comparison of different methods)Grigoryev Yuri V.Aung Pyae PhyoTransition matrices are derived on the basis of some analytical solutions for a number of waveguides. Initial parameters method is used to analyze the waveguide longitudinal oscillations. This paper contains a comparative analysis of different types of concentrators. The waveguide design scheme presents a straight bar of variable cross-section with different boundary conditions. For given concentrator arrangements, the amplitude axial displacements and longitudinal forces in the ultrasonic medical instrument (UMI) are calculated for a certain excitation frequency. Numerical method for calculation of eigenfrequencies and eigenmodes of the ultrasonic medical instrument (UMI) waveguide is presented. Analysis of the cantilever straight-line concentrator based on the methods of transition matrices and numerical integration by the Runge-Kutta method are under comparison. Sufficient agreement of the results is demonstrated.https://doi.org/10.1051/matecconf/201822604007
spellingShingle Grigoryev Yuri V.
Aung Pyae Phyo
Waveguide analysis for ultrasonic medical instruments (comparison of different methods)
MATEC Web of Conferences
title Waveguide analysis for ultrasonic medical instruments (comparison of different methods)
title_full Waveguide analysis for ultrasonic medical instruments (comparison of different methods)
title_fullStr Waveguide analysis for ultrasonic medical instruments (comparison of different methods)
title_full_unstemmed Waveguide analysis for ultrasonic medical instruments (comparison of different methods)
title_short Waveguide analysis for ultrasonic medical instruments (comparison of different methods)
title_sort waveguide analysis for ultrasonic medical instruments comparison of different methods
url https://doi.org/10.1051/matecconf/201822604007
work_keys_str_mv AT grigoryevyuriv waveguideanalysisforultrasonicmedicalinstrumentscomparisonofdifferentmethods
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