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  • Textbook
  • © 2018

Essentials of Dynamics and Vibrations

Authors:

  • Presents the essentials of theory with a light touch
  • Provides open source simulation examples that will run in any web browser
  • Links the theory of dynamics to the reader’s experience of movement in the world around us
  • Provides access to an accompanying web site, where the student can interact with the simulations and listen to a spoken commentary on the text

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Table of contents (13 chapters)

  1. Front Matter

    Pages i-vii
  2. Overview

    • John Billingsley
    Pages 1-11
  3. Particle Kinematics and Dynamics

    • John Billingsley
    Pages 13-21
  4. Linear and Angular Momentum

    • John Billingsley
    Pages 23-29
  5. Inertia

    • John Billingsley
    Pages 31-56
  6. Balancing and the Inertia Tensor

    • John Billingsley
    Pages 57-61
  7. Couples, Moments and Euler’s Equations

    • John Billingsley
    Pages 63-67
  8. Gyroscopes

    • John Billingsley
    Pages 69-73
  9. Kinematics

    • John Billingsley
    Pages 75-82
  10. Kinematic Chains

    • John Billingsley
    Pages 83-94
  11. Inverse Kinematics

    • John Billingsley
    Pages 95-98
  12. Vibration

    • John Billingsley
    Pages 99-119
  13. Modes

    • John Billingsley
    Pages 121-137
  14. Rocket Science

    • John Billingsley
    Pages 139-144
  15. Back Matter

    Pages 145-165

About this book

Dynamic objects move in mysterious ways. Their analysis is a difficult subject involving matrices, differential equations and the complex algebra of oscillatory systems. However, in this textbook, the author draws on his long experience of designing autopilots, robots for nuclear inspection and agricultural machine guidance to present the essentials with a light touch. The emphasis is on a deep understanding of the fundamentals rather than rote-learning of techniques. The inertia tensor is presented as a key to understanding motion ranging from boomerangs to gyroscopes. Chains of transformations unravel the motion of a robot arm.

To help the reader visualise motion, ranging from unbalanced rotors to vibrating systems with multiple modes and damping, there are abundant simulation examples on a linked website. These will run in any web browser, while their simple code is on open view for modification and experimentation. They show that nonlinear systems present no problems, sothat friction damping can be modelled with ease. 

A particular problem for mechanical engineers is that the vibration topics encroach on the territory of the electrical engineer. State variables open up control theory while the solution of differential equations with sinusoidal inputs is simplified by an understanding of sine-waves as complex exponentials. The linked web site has several areas of mathematics revision to help. 

A final chapter pokes fun at the misrepresentation of dynamics in cinema productions. 


Authors and Affiliations

  • Faculty of Health, Engineering and Science, University of Southern Queensland, Toowoomba, Australia

    John Billingsley

About the author

John Billingsley graduated in mathematics and in electrical engineering from Cambridge University in 1960. After four years working in industry on autopilot design, he returned to Cambridge and gained a PhD in control theory.

He led research in Cambridge University developing early 'mechatronic' systems including a laser phototypesetting system and the 'acoustic telescope'.

He moved to Portsmouth Polytechnic in 1976, founding the Robotics Research Group. The results of the Walking Robot unit led to the foundation of Portech Ltd, which for many years supplied robotic systems to the nuclear industry.

In April 1992 he took up a Chair of Engineering at the University of Southern Queensland in Toowoomba. His primary concern is Mechatronics and he supervises Technology Research in the National Centre for Engineering in Agriculture (NCEA). Three prototypes of novel wall-climbing robots were completed at USQ.

He is the international chairman of an annual conference series on "Mechatronics and Machine Vision in Practice," now in its twentieth year. He promoted and presented Micromouse robot maze contests around the world from 1980 to the mid nineties.

He was awarded an Erskine Fellowship by the University of Canterbury, New Zealand. In December 2006 he received an achievement medal from the Institution of Engineering and Technology, London.

His machines have been exhibited in the 'Palais de la Decouverte' in Paris, in the 'Exploratorium' at San Francisco and in the Institute of Contemporary Arts in London. Several of his robots are now on show in the Powerhouse Museum, Sydney.

Bibliographic Information

Buy it now

Buying options

eBook USD 49.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 64.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 99.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access