Analysis of imperfections sensitivity and vibration immunity of MEMS vibrating wheel gyroscope

Indeitsev, D. A.; Belyaev, Ya. V.; Лукин, А. В.; Popov, I. A.; Igumnova, V. S.; Mozhgova, Nadezhda

doi:10.1007/s11071-021-06664-0

Cited by 7 publications

(3 citation statements)

References 41 publications

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“…Ïðÿìûì ÷èñëåííûì ìåòîäîì âûïîëíåíû ðàñ÷åòû äèíàìèêè ðåçîíàòîðà ïðè ó÷åòå íåëèíåéíîñòè óïðóãîé âîññòàíàâëèâàþùåé ñèëû. Êà÷åñòâåííîå èññëåäîâàíèå äèíàìèêè ìåõàíè÷åñêè ëèíåéíîãî ðåçîíàòîðà ïðè ñîâìåñòíîì äåéñòâèè ñèñòåì ÀÐÓ è ÔÀÏ× âûïîëíåíî â [19,20,21]. Îäíèì èç íàèáîëåå ïåðñïåêòèâíûõ è ñîâðåìåííûõ ðåøåíèé äëÿ áîðüáû ñ îñòðûìè ïèêàìè àìïëèòóäíî-÷àñòîòíûõ õàðàêòåðèñòèê, à èìåííî ñ àìïëèòóäíûìè ñðûâàìè, ÿâëÿåòñÿ èñïîëüçîâàíèå ïàðàìåòðè÷åñêîãî âîçáóaeäåíèÿ, êîòîðîå õàðàêòåðèçóåòñÿ ïëàâíûì ïîëîãèì îòêëèêîì ðåçîíàíñíîé êðèâîé [22,23].…”

Section: ââåäåíèåunclassified

Nonlinear Dynamics of the Primary Oscillation Circuit of a Mems Gyroscope Under the Action of Phase-locked Loop and Automatic Gain Control Systems

Igumnova,

Lukin,

Popov

et al. 2023

Differential Equations and Control Processes

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In this work, we study the dynamics of primary oscillations of a high-Q micromechanical resonator - a sensitive element of an RR-type MEMS gyroscope - under the action of various implementations of a phase-locked loop system operating in conjunction with an automatic gain control system for an electrostatic drive. The study of the dynamics of the object is carried out both numerically and analytically - using the averaging method. Conditions for the stability of a stationary regime in a linear approximation are obtained. The questions of accuracy of various methods of numerical solution of differential equations of the circuit of primary oscillations are considered. The influence of the mechanical nonlinearity of the resonator on the dynamics of the resonator and the control system has been studied. An implementation of a low-order PLL circuit that does not contain a double-frequency spurious signal at the output of the phase detector is proposed. The output characteristics of control systems (speed, capture bandwidth, etc.) are analyzed and qualitative conclusions are drawn about the features of the interaction between the dynamics of a mechanical oscillatory link and the PLL-ARC circuit.

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Section: ââåäåíèåunclassified

Nonlinear Dynamics of the Primary Oscillation Circuit of a Mems Gyroscope Under the Action of Phase-locked Loop and Automatic Gain Control Systems

Igumnova,

Lukin,

Popov

et al. 2023

Differential Equations and Control Processes

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“…Therefore, the angular velocity of the rotating system can be obtained by detecting Coriolis force. Because the structure adopts an independent nested structure [11][12][13][14][15], the ring and wheel structures do not affect one another, and the motion equations [16][17][18][19][20] of the two structures are given, respectively:…”

Section: Mathematical Modelmentioning

confidence: 99%

Design and Fabrication of a Novel Wheel-Ring Triaxial Gyroscope

Guo

Wei

Cai

et al. 2022

Sensors

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This paper presents a new type of three-axis gyroscope. The gyroscope comprises two independent parts, which are nested to further reduce the structure volume. The capacitive drive was adopted. The motion equation, capacitance design, and spring design of a three-axis gyroscope were introduced, and the corresponding formulas were derived. Furthermore, the X/Y driving frequency of the gyroscope was 5954.8 Hz, the Y-axis detection frequency was 5774.5 Hz, and the X-axis detection frequency was 6030.5 Hz, as determined by the finite element simulation method. The Z-axis driving frequency was 10,728 Hz, and the Z-axis sensing frequency was 10,725 Hz. The MEMS gyroscope’s Z-axis driving mode and the sensing mode’s frequency were slightly mismatched, so the gyroscope demonstrated a larger bandwidth and higher Z-axis mechanical sensitivity. In addition, the structure also has good Z-axis impact resistance. The transient impact simulation of the gyroscope structure showed that the maximum stress of the sensitive structure under the impact of 10,000 g@5 ms was 300.18 Mpa. The gyroscope was produced by etching silicon wafers in DRIE mode to obtain a high aspect ratio structure, tightly connected to the glass substrate by silicon/glass anode bonding technology.

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“…Papakonstantinou et al [28] dealt with the problem of singularity avoidance for a 4-CMG pyramid cluster by using the attitude control of a satellite using machine learning techniques. Indeitsev et al [29] presented the results of modeling the nonlinear dynamics of vibrating wheel gyroscope.…”

Section: Introductionmentioning

confidence: 99%

Dynamic analysis of a rigid-flexible inflatable space structure coupled with control moment gyroscopes

et al. 2023

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The vibration generated by the inflatable structure after deployment has a great impact on the performance of the payloads. In this paper, the influence of the control moment gyroscope (CMG) on the dynamic responses and characteristics of an inflatable space structure is studied, based on the flexible multibody dynamics in combination of the absolute nodal coordinate formulation (ANCF) and the natural coordinate formulation (NCF). Firstly, the ANCF and NCF are used to accurately describe the large deformations and large overall motions of flexible inflatable tubes and rigid satellites, respectively. Afterwards, by using the Lagrange equation, a rigid body dynamic model of the CMG is established in detail, which can be attached to and coupled with any flexible bodies without any assumptions. Then, the orbital dynamic equations of the inflatable space structure coupled with distributed CMGs are obtained by considering the effects of Coriolis force, centrifugal force, and gravity gradient through coordinate transformation. The dynamic characteristics of the inflatable space structure are also analyzed by deriving the eigenvalue problem of a flexible multibody system. Finally, the accuracy of the CMG dynamic model is verified via a classic heavy top example. And several numerical examples are presented to study the influence of the magnitudes and directions of the rotor angular momentum of the CMG on the dynamic responses and characteristics of the inflatable space structure.

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Analysis of imperfections sensitivity and vibration immunity of MEMS vibrating wheel gyroscope

Cited by 7 publications

References 41 publications

Nonlinear Dynamics of the Primary Oscillation Circuit of a Mems Gyroscope Under the Action of Phase-locked Loop and Automatic Gain Control Systems

Nonlinear Dynamics of the Primary Oscillation Circuit of a Mems Gyroscope Under the Action of Phase-locked Loop and Automatic Gain Control Systems

Design and Fabrication of a Novel Wheel-Ring Triaxial Gyroscope

Dynamic analysis of a rigid-flexible inflatable space structure coupled with control moment gyroscopes

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