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<article article-type="research-article" dtd-version="1.3" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xml:lang="ru"><front><journal-meta><journal-id journal-id-type="publisher-id">sat</journal-id><journal-title-group><journal-title xml:lang="ru">НАУКА и ТЕХНИКА</journal-title><trans-title-group xml:lang="en"><trans-title>Science &amp; Technique</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">2227-1031</issn><issn pub-type="epub">2414-0392</issn><publisher><publisher-name>Belarusian National Technical University</publisher-name></publisher></journal-meta><article-meta><article-id custom-type="elpub" pub-id-type="custom">sat-654</article-id><article-categories><subj-group subj-group-type="heading"><subject>Research Article</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="ru"><subject>ПРИБОРОСТРОЕНИЕ. ИНФОРМАТИКА</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>INSTRUMENT ENGINEERING. INFORMATICS</subject></subj-group></article-categories><title-group><article-title>РАСЧЕТ УПРУГИХ ПОСТОЯННЫХ МАТЕРИАЛА ПО СОБСТВЕННЫМ ЧАСТОТАМ КОЛЕБАНИЙ КРУГЛОЙ ПЛАСТИНЫ</article-title><trans-title-group xml:lang="en"><trans-title>CALCULATION OF ELASTICITY MATERIAL CONSTANTS BY OWN VIBRATION FREQUENCY OF ROUND PLATE</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Минченя</surname><given-names>В. Т.</given-names></name><name name-style="western" xml:lang="en"><surname>Minchenya</surname><given-names>V. T.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Кандидат технических наук, доцент</p></bio><email xlink:type="simple">sat@bntu.by</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Степаненко</surname><given-names>Д. А.</given-names></name><name name-style="western" xml:lang="en"><surname>Stepanenko</surname><given-names>D. A.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Кандидат технических наук</p></bio><email xlink:type="simple">sat@bntu.by</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Юрчик</surname><given-names>Е. Н.</given-names></name><name name-style="western" xml:lang="en"><surname>Yurchik</surname><given-names>E. N.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Студент</p></bio><email xlink:type="simple">sat@bntu.by</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Белорусский национальный технический университет</institution><country>Беларусь</country></aff><aff xml:lang="en"><institution>Belarusian National Technical University</institution><country>Belarus</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2009</year></pub-date><pub-date pub-type="epub"><day>15</day><month>12</month><year>2009</year></pub-date><volume>0</volume><issue>6</issue><fpage>37</fpage><lpage>42</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Минченя В.Т., Степаненко Д.А., Юрчик Е.Н., 2009</copyright-statement><copyright-year>2009</copyright-year><copyright-holder xml:lang="ru">Минченя В.Т., Степаненко Д.А., Юрчик Е.Н.</copyright-holder><copyright-holder xml:lang="en">Minchenya V.T., Stepanenko D.A., Yurchik E.N.</copyright-holder><license xml:lang="ru" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>Данная работа распространяется под лицензией Creative Commons Attribution 4.0.</license-p></license><license xml:lang="en" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>This work is licensed under a Creative Commons Attribution 4.0 License.</license-p></license></permissions><self-uri xlink:href="https://sat.bntu.by/jour/article/view/654">https://sat.bntu.by/jour/article/view/654</self-uri><abstract><p>Выполнен анализ существующих методов определения упругих свойств материалов и показана перспективность использования резонансных методов, позволяющих производить бесконтактный неразрушающий контроль. В качестве примера использования резонансных методов рассмотрена задача об определении упругих свойств материала по собственным частотам колебаний образца в виде круглой пластины. Показана эффективность решения исследуемой задачи с помощью метода градиентного спуска.</p></abstract><trans-abstract xml:lang="en"><p>The paper analyses existing methods for determination of elastic material properties and reveals perspectives for usage of resonant methods which make it possible to execute a non-contact and non-destructive control. As an example of a resonant method application a problem on determination of elastic material properties by own vibration frequency of a specimen in the form of a round plate is considered in the paper. Solution efficiency of the investigated problem using a gradient-search method is given in the paper.</p></trans-abstract></article-meta></front><back><ref-list><title>References</title><ref id="cit1"><label>1</label><citation-alternatives><mixed-citation xml:lang="ru">Quantitative elastic-property measurements at the nanoscale with atomic force acoustic microscopy / D. C. Hurley [et al.] // Advanced Engineering Materials. – 2005. – Vol. 7. – P. 713–718.</mixed-citation><mixed-citation xml:lang="en">Quantitative elastic-property measurements at the nanoscale with atomic force acoustic microscopy / D. C. Hurley [et al.] // Advanced Engineering Materials. – 2005. – Vol. 7. – P. 713–718.</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">Alfano, M. A non-destructive technique for the elastic characterization of thin isotropic plates / M. Alfano, L. Pagnotta // NDT&amp;E International. – 2007. – Vol. 40. – P. 112–120.</mixed-citation><mixed-citation xml:lang="en">Alfano, M. A non-destructive technique for the elastic characterization of thin isotropic plates / M. Alfano, L. Pagnotta // NDT&amp;E International. – 2007. – Vol. 40. – P. 112–120.</mixed-citation></citation-alternatives></ref><ref id="cit3"><label>3</label><citation-alternatives><mixed-citation xml:lang="ru">Pagnotta, L. Elastic characterization of isotropic plates of any shape via dynamic tests: Theoretical aspects and numerical simulations / L. Pagnotta, G. Stigliano // Mechanics Research Communications. – 2008. – Vol. 35. – P. 351–360.</mixed-citation><mixed-citation xml:lang="en">Pagnotta, L. Elastic characterization of isotropic plates of any shape via dynamic tests: Theoretical aspects and numerical simulations / L. Pagnotta, G. Stigliano // Mechanics Research Communications. – 2008. – Vol. 35. – P. 351–360.</mixed-citation></citation-alternatives></ref><ref id="cit4"><label>4</label><citation-alternatives><mixed-citation xml:lang="ru">França, D. R. All-optical measurement of in-plane and out-of-plane Young’s modulus and Poisson’s ratio in silicon wafers by means of vibration modes / D. R. França, A. Blouin // Measurement Science and Technology. – 2004. – Vol. 15. – P. 859–868.</mixed-citation><mixed-citation xml:lang="en">França, D. R. All-optical measurement of in-plane and out-of-plane Young’s modulus and Poisson’s ratio in silicon wafers by means of vibration modes / D. R. França, A. Blouin // Measurement Science and Technology. – 2004. – Vol. 15. – P. 859–868.</mixed-citation></citation-alternatives></ref><ref id="cit5"><label>5</label><citation-alternatives><mixed-citation xml:lang="ru">Non-contact resonant ultrasound spectroscopy for elastic constants measurement / P. Sedlák [et al.] // 1st International Symposium on Laser Ultrasonics: Science, Technology and Applications. Montreal, 2008. – Mode of access : http://www.ndt.net/ article/laser-ut2008/papers/Sedlak%20LU2008.pdf</mixed-citation><mixed-citation xml:lang="en">Non-contact resonant ultrasound spectroscopy for elastic constants measurement / P. Sedlák [et al.] // 1st International Symposium on Laser Ultrasonics: Science, Technology and Applications. Montreal, 2008. – Mode of access : http://www.ndt.net/ article/laser-ut2008/papers/Sedlak%20LU2008.pdf</mixed-citation></citation-alternatives></ref><ref id="cit6"><label>6</label><citation-alternatives><mixed-citation xml:lang="ru">Noncontact modal excitation of small structures using ultrasound radiation force / T. M. Huber [et al.]. – Mode of access : http://physics.gac.edu/~Huber/Presentations/sem_2007_june/400_hub.pdf</mixed-citation><mixed-citation xml:lang="en">Noncontact modal excitation of small structures using ultrasound radiation force / T. M. Huber [et al.]. – Mode of access : http://physics.gac.edu/~Huber/Presentations/sem_2007_june/400_hub.pdf</mixed-citation></citation-alternatives></ref><ref id="cit7"><label>7</label><citation-alternatives><mixed-citation xml:lang="ru">Pagnotta, L. Elastic characterization of isotropic plates of any shape via dynamic tests: Practical aspects and experimental applications / L. Pagnotta, G. Stigliano // Mechanics Research Communications. – 2009. – Vol. 36. – P. 154–161.</mixed-citation><mixed-citation xml:lang="en">Pagnotta, L. Elastic characterization of isotropic plates of any shape via dynamic tests: Practical aspects and experimental applications / L. Pagnotta, G. Stigliano // Mechanics Research Communications. – 2009. – Vol. 36. – P. 154–161.</mixed-citation></citation-alternatives></ref><ref id="cit8"><label>8</label><citation-alternatives><mixed-citation xml:lang="ru">Resonance ultrasound spectroscopy with laser-Doppler interferometry for studying elastic properties of thin films / N. Nakamura [et al.] // Ultrasonics. – 2004. – Vol. 42. – P. 491–494.</mixed-citation><mixed-citation xml:lang="en">Resonance ultrasound spectroscopy with laser-Doppler interferometry for studying elastic properties of thin films / N. Nakamura [et al.] // Ultrasonics. – 2004. – Vol. 42. – P. 491–494.</mixed-citation></citation-alternatives></ref><ref id="cit9"><label>9</label><citation-alternatives><mixed-citation xml:lang="ru">Determination of object resonances by vibro-acoustography and their associated modes / F. G. Mitri [et al.] // Ultrasonics. – 2004. – Vol. 42. – P. 537–543.</mixed-citation><mixed-citation xml:lang="en">Determination of object resonances by vibro-acoustography and their associated modes / F. G. Mitri [et al.] // Ultrasonics. – 2004. – Vol. 42. – P. 537–543.</mixed-citation></citation-alternatives></ref><ref id="cit10"><label>10</label><citation-alternatives><mixed-citation xml:lang="ru">On the normal modes of free vibration of inhomogeneous and anisotropic elastic objects / W. M. Visscher [et al.] // Journal of the Acoustical Society of America. – 1991. – Vol. 90. – P. 2154–2162.</mixed-citation><mixed-citation xml:lang="en">On the normal modes of free vibration of inhomogeneous and anisotropic elastic objects / W. M. Visscher [et al.] // Journal of the Acoustical Society of America. – 1991. – Vol. 90. – P. 2154–2162.</mixed-citation></citation-alternatives></ref><ref id="cit11"><label>11</label><citation-alternatives><mixed-citation xml:lang="ru">http://www.mathworks.co.uk/matlabcentral/fileexchan-ge/11399</mixed-citation><mixed-citation xml:lang="en">http://www.mathworks.co.uk/matlabcentral/fileexchan-ge/11399</mixed-citation></citation-alternatives></ref><ref id="cit12"><label>12</label><citation-alternatives><mixed-citation xml:lang="ru">Guo, H. Die-level characterization of silicon-nitride membrane/silicon structures using resonant ultrasonic spectroscopy / H. Guo, A. Lal // Journal of Microelectromechanical Systems. – 2003. – Vol. 12. – P. 53–63.</mixed-citation><mixed-citation xml:lang="en">Guo, H. Die-level characterization of silicon-nitride membrane/silicon structures using resonant ultrasonic spectroscopy / H. Guo, A. Lal // Journal of Microelectromechanical Systems. – 2003. – Vol. 12. – P. 53–63.</mixed-citation></citation-alternatives></ref><ref id="cit13"><label>13</label><citation-alternatives><mixed-citation xml:lang="ru">Kitahara, M. Boundary integral equation methods in eigenvalue problems of elastodynamics and thin plates / M. Kitahara. – Amsterdam, Oxford, New York, Tokyo, 1985. – 281 p.</mixed-citation><mixed-citation xml:lang="en">Kitahara, M. Boundary integral equation methods in eigenvalue problems of elastodynamics and thin plates / M. Kitahara. – Amsterdam, Oxford, New York, Tokyo, 1985. – 281 p.</mixed-citation></citation-alternatives></ref><ref id="cit14"><label>14</label><citation-alternatives><mixed-citation xml:lang="ru">Бабаков, И. М. Теория колебаний / И. М. Бабаков. – М., 1968. – 560 с.</mixed-citation><mixed-citation xml:lang="en">Бабаков, И. М. Теория колебаний / И. М. Бабаков. – М., 1968. – 560 с.</mixed-citation></citation-alternatives></ref></ref-list><fn-group><fn fn-type="conflict"><p>The authors declare that there are no conflicts of interest present.</p></fn></fn-group></back></article>
