<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE article PUBLIC "-//NLM//DTD JATS (Z39.96) Journal Publishing DTD v1.3 20210610//EN" "JATS-journalpublishing1-3.dtd">
<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">gyroscopy</journal-id><journal-title-group><journal-title xml:lang="ru">Гироскопия и навигация</journal-title><trans-title-group xml:lang="en"><trans-title>Giroskopiya i Navigatsiya / Gyroscopy and Navigation</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">0869-7035</issn><issn pub-type="epub">2075-0927</issn><publisher><publisher-name>AO «Концерн «ЦНИИ «Электроприбор»</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.17285/0869-7035.2017.25.2.066-076</article-id><article-id custom-type="elpub" pub-id-type="custom">gyroscopy-313</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>Статьи</subject></subj-group></article-categories><title-group><article-title>Оптимизация конструкции подвижного электрода микромеханического гироскопа RR-типа</article-title><trans-title-group xml:lang="en"><trans-title>Improving Design of Moving Electrode in MEMS RR-Type Gyro</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>Евстифеев</surname><given-names>М. И.</given-names></name><name name-style="western" xml:lang="en"><surname>Evstifeev</surname><given-names>M. I.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Евстифеев Михаил Илларионович. Начальник отдела.</p><p>Действительный член общественного объединения «Академия навигации и управления движением».</p></bio><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Елисеев</surname><given-names>Д. П.</given-names></name><name name-style="western" xml:lang="en"><surname>Eliseev</surname><given-names>D. P.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Елисеев Даниил Павлович. Старший научный сотрудник </p></bio><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>АО «Концерн «ЦНИИ «Электроприбор» (С.-Петербург).</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Concern CSRI Elektropribor, JSC, St. Petersburg,</institution><country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2017</year></pub-date><pub-date pub-type="epub"><day>25</day><month>11</month><year>2025</year></pub-date><volume>25</volume><issue>2</issue><fpage>66</fpage><lpage>76</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Евстифеев М.И., Елисеев Д.П., 2025</copyright-statement><copyright-year>2025</copyright-year><copyright-holder xml:lang="ru">Евстифеев М.И., Елисеев Д.П.</copyright-holder><copyright-holder xml:lang="en">Evstifeev M.I., Eliseev D.P.</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://www.gyroscopy.ru/jour/article/view/313">https://www.gyroscopy.ru/jour/article/view/313</self-uri><abstract><p>Показано, что изменение плоской формы инерционного тела микромеханического гироскопа (ММГ) при воздействии инерционных нагрузок ведет к изменению величины зазора в емкостных преобразователях вторичных колебаний. Предложен алгоритм оптимизации конструктивных параметров подвижного электрода ММГ для сохранения нечувствительности коэффициента преобразования прибора к воздействию поступательных вибраций в направлении, нормальном к плоскости диска инерционного тела, с учетом потери плоской формы.</p></abstract><trans-abstract xml:lang="en"><p>It has been demonstrated that inertial body flat shape changing under inertial loads results in gap variation in capacitance transducer of sense oscillations. Algorithm of moving electrode design parameters improvement is proposed to keep the device conversion efficiency insensitive to translational vibrations directed normally to the inertial body disc plane, taking into account the flat shape loss.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>Микромеханический гироскоп RR-типа</kwd><kwd>подвижный электрод.</kwd></kwd-group><kwd-group xml:lang="en"><kwd>MEMS RR-type gyro</kwd><kwd>moving electrode.</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">Пешехонов В.Г., Несенюк Л.П., Грязин Д.Г. Микромеханические инерциальные преобразователи. Современное состояние и перспективы развития // Мехатроника, автоматизация, управление. 2009. № 3. С. 28–32.</mixed-citation><mixed-citation xml:lang="en">Peshekhonov, V.G., Nesenyuk, L.P., and Gryazin, D.G., Micromechanical Inertial Converters. Current Status and Development Prospects, Mekhatronika, Avtomatizatsiya, Upravlenie, 2009, no. 3, pp. 28–32.</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">Елисеев Д.П. Повышение виброустойчивости микромеханического гироскопа RR-типа: дис. … канд. техн. наук: 05.11.03 / Елисеев Даниил Павлович. СПб., 2015. 142 с.</mixed-citation><mixed-citation xml:lang="en">Eliseev, D.P., Increasing Vibration Resistance of RR-type Micromechanical Gyro, Cand. Eng. Sci. Dissertation, Saint Petersburg, 2015.</mixed-citation></citation-alternatives></ref><ref id="cit3"><label>3</label><citation-alternatives><mixed-citation xml:lang="ru">Geen J. Progress in Integrated Gyroscopes. IEEE A&amp;E Systems magazine. November, 2004. P. 12–17.</mixed-citation><mixed-citation xml:lang="en">Geen, J., Progress in Integrated Gyroscopes, IEEE A&amp;E Systems magazine, November 2004, pp. 12–17.</mixed-citation></citation-alternatives></ref><ref id="cit4"><label>4</label><citation-alternatives><mixed-citation xml:lang="ru">Weinberg H. Gyro Mechanical Performance: The Most Important Parameter. Technical Article MS-2158. Analog Devices, Inc. September 2011. P. 1–5.</mixed-citation><mixed-citation xml:lang="en">Weinberg H., Gyro Mechanical Performance: The Most Important Parameter, technical article MS-2158, Analog Devices, Inc., September 2011, pp. 1–5.</mixed-citation></citation-alternatives></ref><ref id="cit5"><label>5</label><citation-alternatives><mixed-citation xml:lang="ru">Clark, T.-C., Nguyen. The Harsh Environment Robust Micromechanical Technology (HERMiT) Program: Success and Some Unfinished Business. Microwave Symposium Digest (MTT), 2012 IEEE MTT-S International, June 2012. P. 1–3.</mixed-citation><mixed-citation xml:lang="en">Clark, T.-C., Nguyen, The Harsh Environment Robust Micromechanical Technology (HERMiT) Program: Success and Some Unfinished Business, Microwave Symposium Digest (MTT), 2012 IEEE MTT-S International, June 2012, pp. 1–3.</mixed-citation></citation-alternatives></ref><ref id="cit6"><label>6</label><citation-alternatives><mixed-citation xml:lang="ru">Habibi S., Cooper S.J., Stauffer J.-M., Dutoit B. Gun Hard Inertial Measurement Unit based on MEMS capacitive accelerometer and rate sensor. Proceedings of IEEE/ION PLANS 2008, May 6–8. 2008. P. 232–237.</mixed-citation><mixed-citation xml:lang="en">Habibi S., Cooper S.J., Stauffer J.-M., and Dutoit B., Gun Hard Inertial Measurement Unit Based on MEMS Capacitive Accelerometer and Rate Sensor, Proceedings of IEEE/ION PLANS 2008, May 6–8 2008, pp. 232-237.</mixed-citation></citation-alternatives></ref><ref id="cit7"><label>7</label><citation-alternatives><mixed-citation xml:lang="ru">Sang Won Yoon. Vibration Isolation and Shock Protection for MEMS. University of Michigan Ph.D. Dissertation. 2009. 208 p.</mixed-citation><mixed-citation xml:lang="en">Sang Won Yoon, Vibration Isolation and Shock Protection for MEMS, University of Michigan, Ph.D. Dissertation, 2009.</mixed-citation></citation-alternatives></ref><ref id="cit8"><label>8</label><citation-alternatives><mixed-citation xml:lang="ru">ADXRS646. High Stability, Low Noise Vibration Rejecting Yaw Rate Gyroscope / Data Sheet. Analog Devices. 2012. 12 p.</mixed-citation><mixed-citation xml:lang="en">ADXRS646. High Stability, Low Noise Vibration Rejecting Yaw Rate Gyroscope, data sheet, Analog Devices, 2012.</mixed-citation></citation-alternatives></ref><ref id="cit9"><label>9</label><citation-alternatives><mixed-citation xml:lang="ru">Kuang J., Geen J.A. Inertial Sensors With Reduced Sensitivity To Quadrature Errors And Micromachining Inaccuracies. Patent US №8266961. Appl. No. 12/535477. published 18.09.2012.</mixed-citation><mixed-citation xml:lang="en">Kuang J., and Geen J. A., Inertial Sensors With Reduced Sensitivity To Quadrature Errors And Micromachining Inaccuracies, US patent no. 8266961, appl. no. 12/535477, published 18.09.2012.</mixed-citation></citation-alternatives></ref><ref id="cit10"><label>10</label><citation-alternatives><mixed-citation xml:lang="ru">Hartzell A.L., da Silva M.G., Shea H.R. MEMS Reliability. Springer Science. 2011. 300 p.</mixed-citation><mixed-citation xml:lang="en">Hartzell A.L., da Silva M.G., and Shea H.R., MEMS Reliability, Springer Science. 2011.</mixed-citation></citation-alternatives></ref><ref id="cit11"><label>11</label><citation-alternatives><mixed-citation xml:lang="ru">Евстифеев М.И., Елисеев Д.П., Ковалев А.С., Розенцвейн Д.В. Исследование динамики микромеханического гироскопа при механических воздействиях // Научно-технический вестник Санкт-Петербургского государственного университета информационных технологий, механики и оптики. 2011. С. 49–58</mixed-citation><mixed-citation xml:lang="en">Evstifeev, M.I., Eliseev, D.P., Kovalev, A.S., and Rozentsvein, D.V., Studying the dynamics of MEMS gyro under mechanical effects, Nauchno-tekhnicheskii vestnik SPbGU ITMO, 2011, pp. 49–58.</mixed-citation></citation-alternatives></ref><ref id="cit12"><label>12</label><citation-alternatives><mixed-citation xml:lang="ru">Ковалев А.С., Елисеев Д.П., Белогуров А.А. Анализ уточненной математической модели ММГ RR-типа при воздействии линейных вибраций // Материалы XIV конференции молодых ученых «Навигация и управление движение». 2012. С. 435–439.</mixed-citation><mixed-citation xml:lang="en">Kovalev, A.S., Eliseev, D.P., and Belogurov, A.A., Analysis of refined mathematical model of RR-type MEMS gyro subjected to linear vibrations, Materialy XIV konferentsii molodykh uchenykh “Navigatsia i Upravlenie Dvizheniem” (Proceedings of the 14th Conference of Young Scientists “Navigation and Motion Control”), 2012, pp. 435–439.</mixed-citation></citation-alternatives></ref><ref id="cit13"><label>13</label><citation-alternatives><mixed-citation xml:lang="ru">Пешехонов В.Г., Евстифеев М.И., Некрасов Я.А., Моисеев Н.В., Павлова С.В. Отечественный микромеханический гироскоп RR-типа. Современное состояние и перспективы // Информационное противодействие угрозам терроризма. 2012. № 19. С. 108–114.</mixed-citation><mixed-citation xml:lang="en">Peshekhonov, V.G., Evstifeev, M.I., Nekrasov, Ya.A., Moiseev, N.V., and Pavlova, S.V., Russian MEMS RR-type gyro. Current status and prospects, Informatsionnoe Protivodeistvie Ugrozam Terrorizma, 2012, no. 19, pp. 108-114.</mixed-citation></citation-alternatives></ref><ref id="cit14"><label>14</label><citation-alternatives><mixed-citation xml:lang="ru">Патент 2561006 Российская Федерация, МПК G01С 19/56. Микромеханический вибрационный гироскоп / М. И. Евстифеев, Д. П. Елисеев; патентообладатель АО «Концерн «ЦНИИ «Электроприбор». № 2014123821/28 ; заявл. 10.06.2014 ; опубл. 20.08.2015 ; Бюл. № 23. 9 с.: ил.</mixed-citation><mixed-citation xml:lang="en">Evstifeev, M.I. and Eliseev, D.P., MEMS Vibratory Gyroscope, RF Patent No. 2561006, 2015.</mixed-citation></citation-alternatives></ref><ref id="cit15"><label>15</label><citation-alternatives><mixed-citation xml:lang="ru">Евстифеев М.И., Елисеев Д.П. Математическая модель емкостных гребенчатых преобразователей микромеханического гироскопа RR-типа c учетом вибрационных воздействий // Научно-технический вестник Санкт-Петербургского государственного университета информационных технологий, механики и оптики. 2016. Т. 16. №3. С. 541–549.</mixed-citation><mixed-citation xml:lang="en">Evstifeev, M.I., and Eliseev, D.P., Mathematical Model of RR-type Micromechanical Gyro Capacitive Comb-Type Sensors with Account for Vibrations, Nauchno-tekhnicheskii vestnik SPbGU ITMO, 2016, vol. 16, no. 3, pp. 541–549.</mixed-citation></citation-alternatives></ref><ref id="cit16"><label>16</label><citation-alternatives><mixed-citation xml:lang="ru">PTC: Technology Solutions for Ongoing Products &amp; Service advantage [Электронный ресурс]. – Режим доступа: http://www.ptc.com.</mixed-citation><mixed-citation xml:lang="en">PTC: Technology Solutions for Ongoing Products &amp; Service Advantage [Online], Available: http://www.ptc.com.</mixed-citation></citation-alternatives></ref><ref id="cit17"><label>17</label><citation-alternatives><mixed-citation xml:lang="ru">Иоссель Ю.Я., Кочанов Э.С., Струнский М.Г. Расчет электрической емкости. 2-е изд., перераб и доп. Л: Энергоиздат. Ленингр. отд-ние, 1981. 288 с., ил.</mixed-citation><mixed-citation xml:lang="en">Iossel, Yu.Ya., Kochanov, E.S., and Strunskii, M.G., Raschet elektricheskoi emkosti (Calculation of Electrical Capacitance), Leningrad, Lenizdat, 1981, 2nd edition, revised.</mixed-citation></citation-alternatives></ref><ref id="cit18"><label>18</label><citation-alternatives><mixed-citation xml:lang="ru">Некрасов Я.А., Павлова С.В., Моисеев Н.В. Улучшение эксплуатационных характеристик отечественного микромеханического гироскопа RR-типа // Материалы XХI Санкт-Петербургской межд. конференции по интегрированным навигационным системам. 2014. С. 226–235.</mixed-citation><mixed-citation xml:lang="en">Nekrasov, Ya.A., Pavlova, S.V., and Moiseev, N.V., Improving the Performance of Russian RRtype MEMS Gyro, 21st St.Petersburg International Conference on Integrated Navigation Systems, St. Petersburg, Elektropribor, 2014, pp. 226–235.</mixed-citation></citation-alternatives></ref><ref id="cit19"><label>19</label><citation-alternatives><mixed-citation xml:lang="ru">Некрасов Я.А. Методы повышения точности съема информации в микромеханических гироскопах. Дис. … канд. техн. наук. 05.11.03. СПб., 2007. 125 с.</mixed-citation><mixed-citation xml:lang="en">Nekrasov, Ya.A., Methods of Information Retrieval Accuracy Enhancement in MEMS Gyros, Cand. Eng. Sci. Dissertation, St. Petersburg, 2007.</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>
