Linear and Nonlinear Instabilities in Mechanical Systems
eBook - ePub

Linear and Nonlinear Instabilities in Mechanical Systems

Analysis, Control and Application

  1. English
  2. ePUB (mobile friendly)
  3. Available on iOS & Android
eBook - ePub

Linear and Nonlinear Instabilities in Mechanical Systems

Analysis, Control and Application

About this book

LINEAR and NONLINEAR INSTABILITIES in MECHANICAL SYSTEMS

An in-depth insight into nonlinear analysis and control

As mechanical systems become lighter, faster, and more flexible, various nonlinear instability phenomena can occur in practical systems.

The fundamental knowledge of nonlinear analysis and control is essential to engineers for analysing and controlling nonlinear instability phenomena. This book bridges the gap between the mathematical expressions of nonlinear dynamics and the corresponding practical phenomena. Linear and Nonlinear Instabilities in Mechanical Systems: Analysis, Control and Application provides a detailed and informed insight into the fundamental methods for analysis and control for nonlinear instabilities from the practical point of view.

Key features:

  • Refers to the behaviours of practical mechanical systems such as aircraft, railway vehicle, robot manipulator, micro/nano sensor
  • Enhances the rigorous and practical understanding of mathematical methods from an engineering point of view
  • The theoretical results obtained by nonlinear analysis are interpreted by using accompanying videos on the real nonlinear behaviors of nonlinear mechanical systems
  • Linear and Nonlinear Instabilities in Mechanical Systems is an essential textbook for students on engineering courses, and can also be used for self-study or reference by engineers.

    Frequently asked questions

    Yes, you can cancel anytime from the Subscription tab in your account settings on the Perlego website. Your subscription will stay active until the end of your current billing period. Learn how to cancel your subscription.
    No, books cannot be downloaded as external files, such as PDFs, for use outside of Perlego. However, you can download books within the Perlego app for offline reading on mobile or tablet. Learn more here.
    Perlego offers two plans: Essential and Complete
    • Essential is ideal for learners and professionals who enjoy exploring a wide range of subjects. Access the Essential Library with 800,000+ trusted titles and best-sellers across business, personal growth, and the humanities. Includes unlimited reading time and Standard Read Aloud voice.
    • Complete: Perfect for advanced learners and researchers needing full, unrestricted access. Unlock 1.4M+ books across hundreds of subjects, including academic and specialized titles. The Complete Plan also includes advanced features like Premium Read Aloud and Research Assistant.
    Both plans are available with monthly, semester, or annual billing cycles.
    We are an online textbook subscription service, where you can get access to an entire online library for less than the price of a single book per month. With over 1 million books across 1000+ topics, we’ve got you covered! Learn more here.
    Look out for the read-aloud symbol on your next book to see if you can listen to it. The read-aloud tool reads text aloud for you, highlighting the text as it is being read. You can pause it, speed it up and slow it down. Learn more here.
    Yes! You can use the Perlego app on both iOS or Android devices to read anytime, anywhere — even offline. Perfect for commutes or when you’re on the go.
    Please note we cannot support devices running on iOS 13 and Android 7 or earlier. Learn more about using the app.
    Yes, you can access Linear and Nonlinear Instabilities in Mechanical Systems by Hiroshi Yabuno in PDF and/or ePUB format, as well as other popular books in Technology & Engineering & Mechanical Engineering. We have over one million books available in our catalogue for you to explore.

    Table of contents

    1. Cover
    2. Table of Contents
    3. Title Page
    4. Copyright
    5. Dedication
    6. Preface
    7. About the Companion Website
    8. 1: Equilibrium States and Their Stability
    9. 2: Linear Dynamical Systems
    10. 3: Dynamic Instability of Two‐Degree‐of‐Freedom‐Systems
    11. 4: Modal Analysis of Systems Subject to Conservative and Circulatory Forces
    12. 5: Static Instability and Practical Examples
    13. 6: Dynamic Instability and Practical Examples
    14. 7: Local Bifurcations
    15. 8: Reduction Methods of Nonlinear Dynamical Systems
    16. 9: Method of Multiple Scales
    17. 10: Nonlinear Characteristics of Dynamic Instability
    18. 11: Parametric Resonance and Pitchfork Bifurcation
    19. 12: Stabilization of Inverted Pendulum Under High‐Frequency Excitation
    20. 13: Self‐Excited Resonator in Atomic Force Microscopy (Utilization of Dynamic Instability)
    21. 14: High‐Sensitive Mass Sensing by Eigenmode Shift
    22. 15: Motion Control of Underactuated Manipulator Without State Feedback Control
    23. 16: Experimental Observations
    24. A: Cubic Nonlinear Characteristics
    25. B: Nondimensionalization and Scaling Nonlinearity
    26. C: Occurrence Prediction for Some Types of Resonances
    27. D: Order Estimation of Responses
    28. E: Free Oscillation of Spring‐Mass System Under Coulomb Friction and Its Dead Zone
    29. F: Projection by Adjoint Vector
    30. G: Solvability Condition
    31. H: Effect of Contact Force on the Dynamics of Railway Vehicle Wheelset
    32. Index
    33. End User License Agreement