This book introduces readers to the shell structure, operating principle, manufacturing process, and control theory for cylindrical vibratory gyroscopes. The cylindrical vibratory gyroscope is an important type of Coriolis vibratory gyroscope that holds considerable potential for development and application. The main aspects addressed include: operating principle and structure, theoretical analysis and modeling, dynamic analysis and modeling, manufacturing process, parameter testing methods, closed-loop control, and the error compensation mechanism in cylindrical vibratory gyroscopes.

This book provides a unified approach for the two versions of Coriolis vibratory gyroscopes: Micro-Electro-Mechanical System (MEMS) and non-MEMS. It describes a new, differential mode of operation, analyzing the new triple mode gyro—rate, rate-integrating, and differential. The latter provides the gyro with an increased versatility by providing the maximum possible accuracy under changeable motion parameters and environmental conditions. The book also presents computer simulation, experiments, and test results on the rejection of external disturbances, and considers the fabrication processes of MEMS, metallic and quartz resonators. It will interest researchers, scientists, engineers, and students specializing in the field of inertial sensors, as well as engineers of digital control systems, and inertial sensors test-engineers. It can also be used as a reference book when designing vibratory gyros.

Discusses that In 1890 Bryan observed that a rotating vibrating structure tends to have a vibrating pattern that rotates at a rate proportional to the rate of rotation. This is otherwise known as the Bryan effect. Based on this theory a formula, the so-called "Bryan’s factor" was derived to quantify this shift in angular velocity. This study will utilise the linear theory developed in Joubert, Shatalov and Fay (2009, [9]) with an assumption that the rotation rate is constant and much smaller than the lowest eigenvalue of the vibrating system. This theory is used in conjunction with the math mathematical model formulated to determine how to include mass-imperfections and pre-stress using a non-linear theory of elasticity, as well as how to include anisotropic (viscous) damping into an equation of motion using Rayleigh dissipation (see Joubert et al. (2011, [10])). Hence, the problem statement of this research study is to investigate the influence of mass-imperfections and linear anisotropic (viscous) damping on the angle of vibrating pattern and the phase shift of the vibrating pattern of a slowly rotating thin cylindrical body.

MEMS Vibratory Gyroscopes provides a solid foundation in the theory and fundamental operational principles of micromachined vibratory rate gyroscopes, and introduces structural designs that provide inherent robustness against structural and environmental variations. In the first part, the dynamics of the vibratory gyroscope sensing element is developed, common micro-fabrication processes and methods commonly used in inertial sensor production are summarized, design of mechanical structures for both linear and torsional gyroscopes are presented, and electrical actuation and detection methods are discussed along with details on experimental characterization of MEMS gyroscopes. In the second part, design concepts that improve robustness of the micromachined sensing element are introduced, supported by constructive computational examples and experimental results illustrating the material.

This book provides the latest theoretical analysis and design methodologies of different types of Coriolis vibratory gyroscopes (CVG). Together, the chapters analyze different types of sensitive element designs and their kinematics, derivation of motion equations, analysis of sensitive elements dynamics in modulated and demodulated signals, calculation and optimization of main performance characteristics, and signal processing and control. Essential aspects of numerical simulation of CVG using Simulink® are also covered. This is an ideal book for graduate students, researchers, and engineers working in fields that require gyroscope application, including but not limited to: inertial sensors and systems, automotive and consumer electronics, small unmanned aircraft control systems, personal mobile navigation systems and related software development, and augmented and virtual reality systems.

Presents the mathematical framework, technical language, and control systems know-how needed to design, develop, and instrument micro-scale whole-angle gyroscopes This comprehensive reference covers the technical fundamentals, mathematical framework, and common control strategies for degenerate mode gyroscopes, which are used in high-precision navigation applications. It explores various energy loss mechanisms and the effect of structural imperfections, along with requirements for continuous rate integrating gyroscope operation. It also provides information on the fabrication of MEMS whole-angle gyroscopes and the best methods of sustaining oscillations. Whole-Angle Gyroscopes: Challenges and Opportunities begins with a brief overview of the two main types of Coriolis Vibratory Gyroscopes (CVGs): non-degenerate mode gyroscopes and degenerate mode gyroscopes. It then introduces readers to the Foucault Pendulum analogy and a review of MEMS whole angle mode gyroscope development. Chapters cover: dynamics of whole-angle coriolis vibratory gyroscopes; fabrication of whole-angle coriolis vibratory gyroscopes; energy loss mechanisms of coriolis vibratory gyroscopes; and control strategies for whole-angle coriolis vibratory gyro- scopes. The book finishes with a chapter on conventionally machined micro-machined gyroscopes, followed by one on micro-wineglass gyroscopes. In addition, the book: Lowers barrier to entry for aspiring scientists and engineers by providing a solid understanding of the fundamentals and control strategies of degenerate mode gyroscopes Organizes mode-matched mechanical gyroscopes based on three classifications: wine-glass, ring/disk, and mass spring mechanical elements Includes case studies on conventionally micro-machined and 3-D micro-machined gyroscopes Whole-Angle Gyroscopes is an ideal book for researchers, scientists, engineers, and college/graduate students involved in the technology. It will also be of great benefit to engineers in control systems, MEMS production, electronics, and semi-conductors who work with inertial sensors.