Utilization of Internal Resonance in Gyroscope Design

Utilization of Internal Resonance in Gyroscope Design PDF Author: ʻAmr Marzūq
Publisher:
ISBN:
Category :
Languages : en
Pages : 109

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Book Description
Coriolis vibratory gyroscopes (CVG) suffer from various error sources including manufacturing imperfections and environmental factors. Most design constraints incorporate having the drive and sense mode natural frequencies equal. This poses a difficult solution called "mode matching" requiring complex and extremely accurate on-chip electronics. The research discussed in this thesis acts as a proof of concept on utilizing well-established phenomena in the field of nonlinear dynamics and vibration in the design of CVG gyroscopes with improved stability against manufacturing imperfections. A significant increase in the sense mode bandwidth is shown by structurally tuning the system to 2:1 resonance between the sense and drive modes respectively. A simplified mathematical model of a two-degree-of-freedom system, having quadratic nonlinearities, is obtained and compared qualitatively to more complex models from literature. Experimental results verify numerical simulations, confirming the hypothesis. Additional bandwidth enhancement possibility is established through simple feedback of nonlinear coupling terms obtained from mathematical models.

Utilization of Internal Resonance in Gyroscope Design

Utilization of Internal Resonance in Gyroscope Design PDF Author: ʻAmr Marzūq
Publisher:
ISBN:
Category :
Languages : en
Pages : 109

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Book Description
Coriolis vibratory gyroscopes (CVG) suffer from various error sources including manufacturing imperfections and environmental factors. Most design constraints incorporate having the drive and sense mode natural frequencies equal. This poses a difficult solution called "mode matching" requiring complex and extremely accurate on-chip electronics. The research discussed in this thesis acts as a proof of concept on utilizing well-established phenomena in the field of nonlinear dynamics and vibration in the design of CVG gyroscopes with improved stability against manufacturing imperfections. A significant increase in the sense mode bandwidth is shown by structurally tuning the system to 2:1 resonance between the sense and drive modes respectively. A simplified mathematical model of a two-degree-of-freedom system, having quadratic nonlinearities, is obtained and compared qualitatively to more complex models from literature. Experimental results verify numerical simulations, confirming the hypothesis. Additional bandwidth enhancement possibility is established through simple feedback of nonlinear coupling terms obtained from mathematical models.

Mechanical Design, Dynamics, and Control of Micro Vibratory Gyroscopes

Mechanical Design, Dynamics, and Control of Micro Vibratory Gyroscopes PDF Author: Seyed Parsa Taheri Tehrani
Publisher:
ISBN: 9780355149593
Category :
Languages : en
Pages :

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Book Description
Micro-machined vibratory gyroscopes are very small devices (up to a few millimeters in dimension) that work based on Coriolis force coupling between two resonance modes. The small size, low power consumption, and cheap price make these sensors popular in automotive, gaming, smart phones, and robotics industries. These sensors referred to as MEMS (microelectromechanical system) gyroscopes are currently not used for navigation applications because due to their miniature size and imperfections in fabrication methods they do not have enough accuracy. In this thesis, we present methods in design and control algorithms for MEMS vibratory gyroscopes to cancel the effect of imperfections in fabrication and improve gyroscopes' performance. First chapter of this thesis is an introduction on MEMS vibratory gyroscopes and their principles and standard operations modes.The second chapter presents the structural design and analysis of a single-structure 3-axis MEMS gyroscope. The gyroscope has four resonant modes of interest and uses a decoupling mechanism whereby auxiliary masses are used to actuate the drive mode of the gyroscope in order to reduce drive-force coupling to sense modes' motion (one of the sources of errors in MEMS gyroscopes). The use of auxiliary masses results in a two degree-of-freedom (DOF) mechanism of the drive mode. To compare the effectiveness of using auxiliary masses two gyroscope types has been design one actuated from auxiliary masses (type A) and one actuated from major masses (type B). The two designs are simulated analytically to study the displacement of each mass in each design while comparing the force required to achieve that displacement for drive mode. Experimental data from fabricated devices show how using auxiliary masses will decrease drive force coupling and as a result improve the gyroscope's performance. Third chapter describes the operation of a high quality factor gyroscope in various regimes where electromechanical nonlinearities introduce different forms of amplitude-frequency (A-f) dependence. Experiments are conducted using an epitaxially-encapsulated 2 x 2 mm2 quad-mass gyroscope (QMG) with a quality factor of 85,000. The device exhibits third-order Duffing nonlinearity at low bias voltages (15 V) due to the mechanical nonlinearity in the flexures and at high bias voltages (35 V) due to third-order electrostatic nonlinearity. At intermediate voltages (26 V), these third-order nonlinearities cancel and the amplitude-frequency dependence is greatly reduced. A model is developed to demonstrate the connection between the electromechanical nonlinearities and the amplitude-frequency dependence, also known as the backbone curve. Gyroscope operation is demonstrated in each nonlinear operating regime and the key performance measures of the gyroscope's performance, angle random walk (ARW) and bias instability, are measured as a function of drive-mode vibration amplitude. While the bias instability is nearly independent of the drive-mode’s nonlinearity, we find that ARW increases when the third-order nonlinearities are minimized, and the decrease in ARW due to increase of amplitude is independent of drive mode's type of nonlinearity.In the fourth chapter we present a direct angle measurement method in gyroscopes. Towards the objective of direct angle measurement using a rate integrating gyroscope (RIG) without a minimum rate threshold and performance limited only by electrical and mechanical thermal noise, in this chapter we present the implementation of a generalized electronic feedback method for the compensation of MEMS gyroscope damping asymmetry (anisodamping) and stiffness asymmetry (anisoelasticity) on a stand-alone digital signal processing (DSP) platform. Using the new method, the precession angle dependent bias error and minimum rate threshold, two issues identified by Lynch for a MEMS RIG due to anisodamping are overcome. To minimize angle dependent bias, we augment the electronic feedback force of the amplitude regulator with a non-unity gain output distribution matrix selected to correct for anisodamping. Using this method, we have decreased the angle dependent bias error by a factor of 30, resulting a minimum rate threshold of 2.5 dps. To further improve RIG performance, an electronically-induced self-precession rate is incorporated and successfully demonstrated to lower the rate threshold.

Scientific and Technical Aerospace Reports

Scientific and Technical Aerospace Reports PDF Author:
Publisher:
ISBN:
Category : Aeronautics
Languages : en
Pages : 1572

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Recent Developments in Mechatronics and Intelligent Robotics

Recent Developments in Mechatronics and Intelligent Robotics PDF Author: Kevin Deng
Publisher: Springer
ISBN: 3030002144
Category : Technology & Engineering
Languages : en
Pages : 1291

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Book Description
This book is a collection of proceedings of the International Conference on Mechatronics and Intelligent Robotics (ICMIR2018), held in Kunming, China during May 19–20, 2018. It consists of 155 papers, which have been categorized into 6 different sections: Intelligent Systems, Robotics, Intelligent Sensors & Actuators, Mechatronics, Computational Vision and Machine Learning, and Soft Computing. The volume covers the latest ideas and innovations both from the industrial and academic worlds, as well as shares the best practices in the fields of mechanical engineering, mechatronics, automatic control, IOT and its applications in industry, electrical engineering, finite element analysis and computational engineering. The volume covers key research outputs, which delivers a wealth of new ideas and food for thought to the readers.

International Aerospace Abstracts

International Aerospace Abstracts PDF Author:
Publisher:
ISBN:
Category : Aeronautics
Languages : en
Pages : 940

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Nuclear Science Abstracts

Nuclear Science Abstracts PDF Author:
Publisher:
ISBN:
Category : Nuclear energy
Languages : en
Pages : 2066

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Technical Abstract Bulletin

Technical Abstract Bulletin PDF Author: Defense Documentation Center (U.S.)
Publisher:
ISBN:
Category : Technology
Languages : en
Pages : 1766

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U.S. Government Research Reports

U.S. Government Research Reports PDF Author:
Publisher:
ISBN:
Category : Research
Languages : en
Pages : 418

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Advances in Mechanical Engineering

Advances in Mechanical Engineering PDF Author: B. B. Biswal
Publisher: Springer Nature
ISBN: 9811501246
Category : Technology & Engineering
Languages : en
Pages : 1688

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Book Description
This book comprises select proceedings of the International Conference on Recent Innovations and Developments in Mechanical Engineering (IC-RIDME 2018). The book contains peer reviewed articles covering thematic areas such as fluid mechanics, renewable energy, materials and manufacturing, thermal engineering, vibration and acoustics, experimental aerodynamics, turbo machinery, and robotics and mechatronics. Algorithms and methodologies of real-time problems are described in this book. The contents of this book will be useful for both academics and industry professionals.

Optical Gyros and Their Application

Optical Gyros and Their Application PDF Author:
Publisher: North Atlantic Treaty Organization Resear Rganization
ISBN:
Category : Technology & Engineering
Languages : en
Pages : 344

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Book Description