Overview
- Suggests a simple, frequency-based method to analyze and evaluate the stability of periodic motions of a wide class of systems: time-variant, nonlinear (self-oscillation, forced oscillation), synchronized motion, etc.
- Presents a simple approach useful for engineers
- Includes case studies and examples of applications of the method in various industries
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Table of contents (18 chapters)
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Front Matter
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Amplitude–Phase–Frequency Characteristics of Linear Steady-State Systems
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Front Matter
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Parametric Oscillations of Linear Periodically Nonstationary Systems
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Front Matter
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Parametric Resonance in Nonlinear System Oscillations
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Front Matter
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Parametric Oscillation Control
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Front Matter
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Applications
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Front Matter
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Keywords
About this book
This unique tool is the method of stationarization, or one frequency approximation of parametric resonance problem analysis in linear time-variant dynamic systems. The book shows how this can explain periodic motion stability in stationary nonlinear dynamic systems, and reveals the link between the harmonic stationarization coefficients and describing functions. As such, the book speaks the language of control: transfer functions, frequency response, Nyquist plot, stability margins, etc. An understanding of the physics of stability loss is the basis for the design of new oscillation control methods for, several of which are presented in the book. These and all the other findings are illustrated by numerical examples, which can be easily reproduced by readers equipped with a basic simulation package like MATLAB with Simulink.
The book offers a simple tool for all those travelling through the world of oscillations, helping them discover its hidden beauty. Researchers can use the method to uncover unknown aspects, and as a reference to compare it with other, for example, abstract mathematical means. Further, it provides engineers with a minimalistic but powerful instrument based on physically measurable variables to analyze and design oscillatory systems.
Authors and Affiliations
Bibliographic Information
Book Title: Physical Fundamentals of Oscillations
Book Subtitle: Frequency Analysis of Periodic Motion Stability
Authors: Leonid Chechurin, Sergej Chechurin
DOI: https://doi.org/10.1007/978-3-319-75154-2
Publisher: Springer Cham
eBook Packages: Engineering, Engineering (R0)
Copyright Information: Springer International Publishing AG, part of Springer Nature 2017
Hardcover ISBN: 978-3-319-75153-5Published: 25 April 2018
Softcover ISBN: 978-3-030-09160-6Published: 09 December 2018
eBook ISBN: 978-3-319-75154-2Published: 16 April 2018
Edition Number: 1
Number of Pages: XV, 264
Number of Illustrations: 163 b/w illustrations, 33 illustrations in colour
Topics: Complexity, Control and Systems Theory, Applications of Nonlinear Dynamics and Chaos Theory