It takes the average reader 2 hours and 48 minutes to read Essentials of Dynamics and Vibrations by John Billingsley
Assuming a reading speed of 250 words per minute. Learn more
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.
Essentials of Dynamics and Vibrations by John Billingsley is 165 pages long, and a total of 42,075 words.
This makes it 56% the length of the average book. It also has 51% more words than the average book.
The average oral reading speed is 183 words per minute. This means it takes 3 hours and 49 minutes to read Essentials of Dynamics and Vibrations aloud.
Essentials of Dynamics and Vibrations is suitable for students ages 10 and up.
Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.
When deciding what to show young students always use your best judgement and consult a professional.
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