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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">pimi</journal-id><journal-title-group><journal-title xml:lang="ru">Приборы и методы измерений</journal-title><trans-title-group xml:lang="en"><trans-title>Devices and Methods of Measurements</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">2220-9506</issn><issn pub-type="epub">2414-0473</issn><publisher><publisher-name>BNTU</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.21122/2220-9506-2016-7-1-21-36</article-id><article-id custom-type="elpub" pub-id-type="custom">pimi-236</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>Средства измерений</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>Measuring instruments</subject></subj-group></article-categories><title-group><article-title>СТАТИЧЕСКАЯ И ДИНАМИЧЕСКАЯ СТАБИЛЬНОСТЬ ГРАВИИНЕРЦИАЛЬНОГО ДАТЧИКА С ЕМКОСТНОЙ ДИФФЕРЕНЦИАЛЬНОЙ СИСТЕМОЙ УПРАВЛЕНИЯ ЧУВСТВИТЕЛЬНОСТЬЮ</article-title><trans-title-group xml:lang="en"><trans-title>STATIC AND DYNAMIC STABILITY OF GRAVI-INERTIAL SENSORS WITH CAPACITIVE DIFFERENTIAL SYSTEM OF SENSITIVITY ADJUSTMENT</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>Джилавдари</surname><given-names>И. З.</given-names></name><name name-style="western" xml:lang="en"><surname>Gilavdary</surname><given-names>I. Z.</given-names></name></name-alternatives><bio xml:lang="en"><p>Address for correspondence: Gilavdary I. Belarusian National Technical University, Nezavisimosty Ave., 65, 220013, Minsk, Belarus e-mail:gilavdary@bntu.by</p></bio><email xlink:type="simple">gilavdary@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>Мекид</surname><given-names>С.</given-names></name><name name-style="western" xml:lang="en"><surname>Mekid</surname><given-names>S.</given-names></name></name-alternatives><bio xml:lang="en"><p>Mechanical Engineering Department</p></bio><email xlink:type="simple">gilavdary@bntu.by</email><xref ref-type="aff" rid="aff-2"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Ризноокая</surname><given-names>Н. Н.</given-names></name><name name-style="western" xml:lang="en"><surname>Riznookaya</surname><given-names>N. N.</given-names></name></name-alternatives><email xlink:type="simple">gilavdary@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>Абдул Сатер</surname><given-names>А. И.</given-names></name><name name-style="western" xml:lang="en"><surname>Abdul Sater</surname><given-names>A.</given-names></name></name-alternatives><email xlink:type="simple">gilavdary@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><aff-alternatives id="aff-2"><aff xml:lang="ru"><institution>Университет нефти и полезных ископаемых короля Фахда,  Дхахран</institution><country>Саудовская Аравия</country></aff><aff xml:lang="en"><institution>King Fahd University of Petroleum &amp; Minerals, Dhahran</institution><country>Saudi Arabia</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2016</year></pub-date><pub-date pub-type="epub"><day>06</day><month>06</month><year>2016</year></pub-date><volume>7</volume><issue>1</issue><fpage>16</fpage><lpage>23</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Джилавдари И.З., Мекид С., Ризноокая Н.Н., Абдул Сатер А., 2016</copyright-statement><copyright-year>2016</copyright-year><copyright-holder xml:lang="ru">Джилавдари И.З., Мекид С., Ризноокая Н.Н., Абдул Сатер А.</copyright-holder><copyright-holder xml:lang="en">Gilavdary I.Z., Mekid S., Riznookaya N.N., Abdul Sater A.</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://pimi.bntu.by/jour/article/view/236">https://pimi.bntu.by/jour/article/view/236</self-uri><abstract><p>Изучается конструкция гравиинерциального датчика с упруго подвешенной массой, обладающего максимальной чувствительностью и минимальным уровнем шума. Датчик содержит упругий торсион, электростатическую емкостную систему измерения движения подвижной массы и электростатическую емкостную систему уменьшения крутильной жесткости торсиона. Обе емкостные системы объединены в единую дифференциальную емкостную электростатическую систему. Аналитически и численно изучаются проблемы, возникающие в результате асимметрии этой системы. Исследуются квазистатический и динамический режимы свободного движения подвижной массы при отсутствии потерь энергии. Рассчитываются угловые интервалы устойчивости движения подвижной массы в электростатическом поле в зависимости от параметра асимметрии дифференциальной системы и от частоты свободных колебаний. </p></abstract><trans-abstract xml:lang="en"><p>The design of a gravi-inertial sensor with an elastically suspended sensing mass exhibiting a maximum sensitivity and minimum noise level is being studied. It is conceived that such a sensor contains a torsion mass-spring system, a capacitive pick-off circuit to detect motions of the sensing mass, and a capacitive system to reduce torsion stiffness. Both capacitive systems are combined into a single differential capacitance electrostatic system. The torsion stiffness is reduced by applying an electric field. Problems resulting from the electrostatic asymmetry of the differential system are studied analytically and numerically. The quasi-static and dynamic modes of the free movement of the sensing mass, in the absence of energy loss, are considered. The angular intervals of stability of the sensing mass movement in the electrostatic field, depending on the differential system asymmetry parameter and a frequency of free oscillations «proof mass», are calculated.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>гравиинерциальные датчики</kwd><kwd>емкостной дифференциальный сенсор</kwd><kwd>эффект залипания</kwd><kwd>асимметрия дифференциального сенсора</kwd></kwd-group><kwd-group xml:lang="en"><kwd>Gravi-inertial sensors</kwd><kwd>capacitive differential sensor</kwd><kwd>pull-in effect</kwd><kwd>asymmetry of a differential sensor</kwd></kwd-group></article-meta></front><back><ref-list><title>References</title><ref id="cit1"><label>1</label><citation-alternatives><mixed-citation xml:lang="ru">Milatz J.M.W., van Zolingen J.J. The Brownian Motion of Electrometers. Physica, 1953, vol. 19, issue 1, pр. 181–194.</mixed-citation><mixed-citation xml:lang="en">Milatz J.M.W., van Zolingen J.J. The Brownian Motion of Electrometers. 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