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Physical fundamentals of oscillation...

Chechurin, Leonid.

Physical fundamentals of oscillationsfrequency analysis of periodic motion stability /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Physical fundamentals of oscillationsby Leonid Chechurin, Sergej Chechurin.
Reminder of title:	frequency analysis of periodic motion stability /
Author:	Chechurin, Leonid.
other author:	Chechurin, Sergej,.
Published:	Cham :Springer International Publishing :2017.
Description:	xv, 264 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Oscillations.
Online resource:	http://dx.doi.org/10.1007/978-3-319-75154-2
ISBN:	9783319751542$q(electronic bk.)

Physical fundamentals of oscillationsfrequency analysis of periodic motion stability /
Chechurin, Leonid.

Physical fundamentals of oscillationsfrequency analysis of periodic motion stability /[electronic resource] :by Leonid Chechurin, Sergej Chechurin. - Cham :Springer International Publishing :2017. - xv, 264 p. :ill., digital ;24 cm.

Continuous Systems -- Discrete Systems -- Parametric Resonances of the Second and Higher Orders -- Nonlinear System Oscillation Stability -- Parametric Resonance in hydrodynamics -- Correction of mono-frequency approximation of nonlinear systems -- On the Robustness of dynamic systems.

The book introduces possibly the most compact, simple and physically understandable tool that can describe, explain, predict and design the widest set of phenomena in time-variant and nonlinear oscillations. The phenomena described include parametric resonances, combined resonances, instability of forced oscillations, synchronization, distributed parameter oscillation and flatter, parametric oscillation control, robustness of oscillations and many others. Although the realm of nonlinear oscillations is enormous, the book relies on the concept of minimum knowledge for maximum understanding. 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.

ISBN: 9783319751542$q(electronic bk.)

Standard No.: 10.1007/978-3-319-75154-2doiSubjects--Topical Terms:

204102
Oscillations.

LC Class. No.: QA865

Dewey Class. No.: 531.32

Physical fundamentals of oscillationsfrequency analysis of periodic motion stability /
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245 1 0 $a Physical fundamentals of oscillations $h [electronic resource] : $b frequency analysis of periodic motion stability / $c by Leonid Chechurin, Sergej Chechurin.
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505 0 $a Continuous Systems -- Discrete Systems -- Parametric Resonances of the Second and Higher Orders -- Nonlinear System Oscillation Stability -- Parametric Resonance in hydrodynamics -- Correction of mono-frequency approximation of nonlinear systems -- On the Robustness of dynamic systems.
520 $a The book introduces possibly the most compact, simple and physically understandable tool that can describe, explain, predict and design the widest set of phenomena in time-variant and nonlinear oscillations. The phenomena described include parametric resonances, combined resonances, instability of forced oscillations, synchronization, distributed parameter oscillation and flatter, parametric oscillation control, robustness of oscillations and many others. Although the realm of nonlinear oscillations is enormous, the book relies on the concept of minimum knowledge for maximum understanding. 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.
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