Physical fundamentals of oscillations : frequency analysis of periodic motion stability / Leonid Chechurin, Sergej Chechurin.
2017
QA865
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Details
Title
Physical fundamentals of oscillations : frequency analysis of periodic motion stability / Leonid Chechurin, Sergej Chechurin.
Author
Chechurin, Leonid, author.
ISBN
9783319751542 (electronic book)
3319751549 (electronic book)
9783319751535
3319751549 (electronic book)
9783319751535
Published
Cham : Springer, [2017]
Copyright
©2017
Language
English
Description
1 online resource : illustrations
Item Number
10.1007/978-3-319-75154-2 doi
Call Number
QA865
Dewey Decimal Classification
531/.32
Summary
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.
Bibliography, etc. Note
Includes bibliographical references.
Access Note
Access limited to authorized users.
Digital File Characteristics
text file PDF
Source of Description
Online resource ; title from PDF title page (viewed April 20, 2018).
Added Author
Chechurin, S. L. (Sergeĭ Leonidovich), author.
Available in Other Form
Print version: 9783319751535
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Table of Contents
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.
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.