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Theory of Gyroscopic Effects for Rotating Objects

Gyroscopic Effects and Applications

  • Book
  • © 2020

Overview

Authors:
  1. Ryspek Usubamatov

    1. Kyrgyz State Technical University, Bishkek, Kyrgyzstan

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  • Highlights an analytical solution for the dynamics of axially symmetric rotating objects
  • Discusses gyroscopic effects by mathematical models of Euler’s form for the motion of movable spinning objects- discs and cylinders
  • Validates the mathematical models for the gyroscopic effects by practical tests

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Table of contents (8 chapters)

  1. Front Matter

    Pages i-xviii
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  2. Gyroscopic Effects in Engineering

    • Ryspek Usubamatov
    Pages 1-15

  3. Acceleration Analysis of Rotating Objects

    • Ryspek Usubamatov
    Pages 17-31

  4. Inertial Forces and Torques Acting on Simple Spinning Objects

    • Ryspek Usubamatov
    Pages 33-61

  5. Properties and Specifies of Gyroscopic Torques

    • Ryspek Usubamatov
    Pages 63-79

  6. Mathematical Models for Motions of a Gyroscope Suspended from the Flexible Cord

    • Ryspek Usubamatov
    Pages 81-106

  7. Mathematical Models for Motions of a Gyroscope with One Side Support

    • Ryspek Usubamatov
    Pages 107-131

  8. Mathematical Models for the Top Motions and Gyroscope Nutation

    • Ryspek Usubamatov
    Pages 133-169

  9. Gyroscopic Effects of Deactivation of Inertial Forces

    • Ryspek Usubamatov
    Pages 171-190

  10. Back Matter

    Pages 191-263
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Keywords

About this book

This book highlights an analytical solution for the dynamics of axially symmetric rotating objects. It also presents the theory of gyroscopic effects, explaining their physics and using mathematical models of Euler’s form for the motion of movable spinning objects to demonstrate these effects. The major themes and approaches are represented by the spinning disc and the action of the system of interrelated inertial torques generated by the centrifugal, common inertial, Coriolis forces, as well as the change in their angular momentum. These torques constitute the fundamental principles of the mechanical gyroscope theory that can be used for any rotating objects, like rings, cones, spheres, paraboloids and propellers of different designs. Lastly, the mathematical models for the gyroscopic effects are validated by practical tests.

Authors and Affiliations

  • Kyrgyz State Technical University, Bishkek, Kyrgyzstan

    Ryspek Usubamatov

About the author

Dr. Ryspek Usubamatov studied Mechanical and Manufacturing Engineering at Bauman Moscow State Technical University that graduated in 1966 and received his Ph.D. in 1972 at the same university. After several years of postdoctoral research, he obtained Dr. Tech. Sc. at Kyrgyzstan Academy of Sciences. He has published more than 350 research manuscripts in reputed journals, 8 books, 30 brochures and 61 patents of inventions. His research interests are Productivity Theory for Industrial Engineering and Theory of Gyroscopic Effects. He worked at several universities in Kyrgyzstan and Malaysia. Currently, he is a Professor of Kyrgyz State Technical University after I. Razzakov.

Bibliographic Information

  • Book Title: Theory of Gyroscopic Effects for Rotating Objects

  • Book Subtitle: Gyroscopic Effects and Applications

  • Authors: Ryspek Usubamatov

  • DOI: https://doi.org/10.1007/978-981-15-6475-8

  • Publisher: Springer Singapore

  • eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)

  • Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd. 2020

  • Softcover ISBN: 978-981-15-6477-2Published: 30 August 2021

  • eBook ISBN: 978-981-15-6475-8Published: 29 August 2020

  • Edition Number: 1

  • Number of Pages: XVIII, 263

  • Number of Illustrations: 63 b/w illustrations

  • Topics: Classical Mechanics, Mathematical Methods in Physics, Engineering Mathematics

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