Essentials of Dynamics and Vibrations

Textbook

Billingsley, John. 2018. Essentials of Dynamics and Vibrations. Switzerland. Springer.
Book Title

Essentials of Dynamics and Vibrations

Book CategoryTextbook
ERA Publisher ID3337
Authors
AuthorBillingsley, John
Number of Pages165
Year2018
PublisherSpringer
Place of PublicationSwitzerland
ISBN9783319565163
9783319565170
Digital Object Identifier (DOI)https://doi.org/10.1007/978-3-319-56517-0
Web Address (URL)https://link.springer.com/book/10.1007%2F978-3-319-56517-0
Abstract

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, so that 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.

KeywordsVibration, dynamics, control, inertia, kinematics
ANZSRC Field of Research 2020401702. Dynamics, vibration and vibration control
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Byline AffiliationsSchool of Mechanical and Electrical Engineering
Institution of OriginUniversity of Southern Queensland
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