INVESTIGATION OF DYNAMIC STABILITY OF FLEXIBLE WAVEGUIDES FOR ULTRASONIC THROMBECTOMY

INVESTIGATION OF DYNAMIC STABILITY OF FLEXIBLE WAVEGUIDES FOR ULTRASONIC THROMBECTOMY

The paper presents results of mathematical modelling of dynamic stability of flexible ultrasonic waveguides applied in engineering and medicine, particularly, in minimally-invasive surgery. By means of the Bubnov-Galerkin method an equation of parametric flexural vibrations of a waveguide is reduced...

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Main Authors: D. A. Stepanenko, V. T. Mincheny
Format: Article
Language:Russian
Published: Belarusian National Technical University 2011-10-01
Series:Nauka i Tehnika
Online Access:https://sat.bntu.by/jour/article/view/425
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spelling doaj-3e0f873ea8594c7e89a73abd503bcc9a2021-07-29T08:29:30ZrusBelarusian National Technical UniversityNauka i Tehnika2227-10312414-03922011-10-01054146418INVESTIGATION OF DYNAMIC STABILITY OF FLEXIBLE WAVEGUIDES FOR ULTRASONIC THROMBECTOMYD. A. Stepanenko0V. T. Mincheny1Belarusian National Technical UniversityBelarusian National Technical UniversityThe paper presents results of mathematical modelling of dynamic stability of flexible ultrasonic waveguides applied in engineering and medicine, particularly, in minimally-invasive surgery. By means of the Bubnov-Galerkin method an equation of parametric flexural vibrations of a waveguide is reduced to the Mathieu equation. Stability of the equation solutions is determined by values of its coefficients and may be represented graphically by means of the Ince-Strutt diagram. Parameters of the Mathieu equation determining the stability of its solution are determined by means of finite element method using ANSYS software and APDL programming language.https://sat.bntu.by/jour/article/view/425
collection DOAJ
language Russian
format Article
sources DOAJ
author D. A. Stepanenko
V. T. Mincheny
spellingShingle D. A. Stepanenko
V. T. Mincheny
INVESTIGATION OF DYNAMIC STABILITY OF FLEXIBLE WAVEGUIDES FOR ULTRASONIC THROMBECTOMY
Nauka i Tehnika
author_facet D. A. Stepanenko
V. T. Mincheny
author_sort D. A. Stepanenko
title INVESTIGATION OF DYNAMIC STABILITY OF FLEXIBLE WAVEGUIDES FOR ULTRASONIC THROMBECTOMY
title_short INVESTIGATION OF DYNAMIC STABILITY OF FLEXIBLE WAVEGUIDES FOR ULTRASONIC THROMBECTOMY
title_full INVESTIGATION OF DYNAMIC STABILITY OF FLEXIBLE WAVEGUIDES FOR ULTRASONIC THROMBECTOMY
title_fullStr INVESTIGATION OF DYNAMIC STABILITY OF FLEXIBLE WAVEGUIDES FOR ULTRASONIC THROMBECTOMY
title_full_unstemmed INVESTIGATION OF DYNAMIC STABILITY OF FLEXIBLE WAVEGUIDES FOR ULTRASONIC THROMBECTOMY
title_sort investigation of dynamic stability of flexible waveguides for ultrasonic thrombectomy
publisher Belarusian National Technical University
series Nauka i Tehnika
issn 2227-1031
2414-0392
publishDate 2011-10-01
description The paper presents results of mathematical modelling of dynamic stability of flexible ultrasonic waveguides applied in engineering and medicine, particularly, in minimally-invasive surgery. By means of the Bubnov-Galerkin method an equation of parametric flexural vibrations of a waveguide is reduced to the Mathieu equation. Stability of the equation solutions is determined by values of its coefficients and may be represented graphically by means of the Ince-Strutt diagram. Parameters of the Mathieu equation determining the stability of its solution are determined by means of finite element method using ANSYS software and APDL programming language.
url https://sat.bntu.by/jour/article/view/425
work_keys_str_mv AT dastepanenko investigationofdynamicstabilityofflexiblewaveguidesforultrasonicthrombectomy
AT vtmincheny investigationofdynamicstabilityofflexiblewaveguidesforultrasonicthrombectomy
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