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: | , |
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| Format: | Article |
| Language: | Russian |
| Published: |
Belarusian National Technical University
2011-10-01
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| Series: | Наука и техника |
| Online Access: | https://sat.bntu.by/jour/article/view/425 |
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| _version_ | 1850180312504467456 |
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| author | D. A. Stepanenko V. T. Mincheny |
| author_facet | D. A. Stepanenko V. T. Mincheny |
| author_sort | D. A. Stepanenko |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-3e0f873ea8594c7e89a73abd503bcc9a |
| institution | OA Journals |
| issn | 2227-1031 2414-0392 |
| language | Russian |
| publishDate | 2011-10-01 |
| publisher | Belarusian National Technical University |
| record_format | Article |
| series | Наука и техника |
| spelling | doaj-art-3e0f873ea8594c7e89a73abd503bcc9a2025-08-20T02:18:14ZrusBelarusian National Technical UniversityНаука и техника2227-10312414-03922011-10-01054146418INVESTIGATION 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 |
| spellingShingle | D. A. Stepanenko V. T. Mincheny INVESTIGATION OF DYNAMIC STABILITY OF FLEXIBLE WAVEGUIDES FOR ULTRASONIC THROMBECTOMY Наука и техника |
| title | 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_short | INVESTIGATION OF DYNAMIC STABILITY OF FLEXIBLE WAVEGUIDES FOR ULTRASONIC THROMBECTOMY |
| title_sort | investigation of dynamic stability of flexible waveguides for ultrasonic thrombectomy |
| url | https://sat.bntu.by/jour/article/view/425 |
| work_keys_str_mv | AT dastepanenko investigationofdynamicstabilityofflexiblewaveguidesforultrasonicthrombectomy AT vtmincheny investigationofdynamicstabilityofflexiblewaveguidesforultrasonicthrombectomy |