gyroscopyГироскопия и навигацияGiroskopiya i Navigatsiya0869-70352075-0927AO «Концерн «ЦНИИ «Электроприбор»10.17285/0869-7035.0037gyroscopy-217Research ArticleСтатьиВлияние геометрических дефектов на процессы диссипации энергии колебаний и характеристики резонатора твердотельного волнового гироскопа с высокой добротностьюEffect of Geometric Imperfections on Anchor Loss and Characterisation of a Gyroscope Resonator with High Quality FactorШармаН. Г.SharmaG.N.

Шарма Н. Гириш. Научный сотрудник

СундарараджанТ.SundararajanT.

Сундарараджан Т. Научный сотрудник

СингхГ. С.SinghG.S.

Сингх Гаутам Сачин. Старший преподаватель

Индийская организации космических исследований, подразделение инерциальных систем (г. Тируванантапурам, Керала, Индия).ИндияISRO Inertial Systems Unit, Thiruvananthapuram, Kerala, IndiaIndiaКосмический центр им. Викрама Сарабхаи (г. Тируванантапурам, Керала, Индия).РоссияVikram Sarabhai Space Centre, Thiruvananthapuram, Kerala, IndiaRussian FederationИндийский технологический институт (г. Гувахати, Индия).РоссияIndian Institute of Technology, Guwahati, IndiaRussian Federation2020111120252831831Copyright © Шарма Н., Сундарараджан Т., Сингх Г., 20252025Шарма Н., Сундарараджан Т., Сингх Г.Sharma G., Sundararajan T., Singh G.Данная работа распространяется под лицензией Creative Commons Attribution 4.0.This work is licensed under a Creative Commons Attribution 4.0 License.https://www.gyroscopy.ru/jour/article/view/217

Важнейшим функциональным элементом твердотельного волнового гироскопа (ТВГ) является механический резонатор, для минимальной разрешающей способности которого требуется добротность в несколько миллионов единиц. В работе рассматривается проблема диссипации энергии колебаний в опорах ТВГ размером несколько миллиметров. Проведено подробное исследование дефектов размеров и геометрических параметров оболочки резонатора, связанных с нарушениями технологии изготовления. Выполнен анализ зависимости добротности от среднего радиуса и толщины оболочки, а также от радиуса и высоты ножки резонатора. Подробно изучено влияние геометрических дефектов оболочки – ее смещения, наклона, неоднородной толщины и дисбаланса. Согласно результатам исследования, диссипация энергии колебаний в опорах (конструкционное демпфирование) становится весьма значительной и сопоставимой с другими механизмами рассеяния даже при незначительных геометрических дефектах конструкции. По результатам анализа чувствительности получены допуски на размерно-геометрические параметры, обеспечивающие прецизионное изготовление резонатора, гарантирующее минимальное конструкционное демпфирование. Рассмотрена также роль других механизмов затухания колебаний: воздушное демпфирование, демпфирование возбуждения, термоупругое динамическое демпфирование и поверхностное рассеяние. Характеристики поверхности с точки зрения поверхностного рассеяния до и после обработки исследованы методом наноиндентирования. Выполнена оценка функциональных параметров рабочей частоты и добротности с использованием лазерной доплеровской виброметрии (ЛДВ).

A critical functional part of a hemispherical resonator gyroscope (HRG) is the mechanical resonator, and a few million quality factor (Q-factor) is needed for the lowest resolution. This paper focuses on anchor loss of a HRG of a few millimeters in size. A detailed parametric study of dimensions and shell imperfections due to fabrication is carried out. A sensitivity study of the effect of shell mean radius, shell thickness, stem radius, stem height on the Qanchor is carried out. The effect of geometric imperfections such as shell offset, shell tilt, shell thickness variation, and unbalance is studied in detail. From the study, it is inferred that the anchor loss becomes very significant and approaches other loss mechanisms even with minor geometric imperfections in the hardware realisation. Based on the sensitivity study, the dimensional and geometric tolerances are arrived for precision fabrication. Precision resonator is fabricated as per the requirement of minimum anchor loss. The significance of other damping mechanisms such as air damping, excitationinduced damping, thermoelastic dynamic damping and surface dissipation is also discussed. Surface characterisation before and after surface treatment has been carried out using nanoindentation technique with regard to surface loss. Functional parameters of operating frequency and Q-factor are evaluated using laser Doppler vibrometry (LDV).

Твердотельный волновой гироскопдобротностьдиссипация энергии колебаний в опорах (конструкционное демпфирование)энергия упругой волнынаноиндентирование.Нemispherical resonator gyroscopeQ-factoranchor losselastic wave energynanoindentation.ReferencesBose, A., Bhat, K.N., and Kurian, T., Fundamentals of Navigation and Inertial Sensors, PHI Learning Pvt. Ltd., 2002.Bose, A., Bhat, K.N., and Kurian, T., Fundamentals of Navigation and Inertial Sensors, PHI Learning Pvt. 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The authors declare that there are no conflicts of interest present.