Physical Fundamentals of Oscillations

Frequency Analysis of Periodic Motion Stability

Nonfiction, Science & Nature, Technology, Automation, Reference & Language, Reference
Cover of the book Physical Fundamentals of Oscillations by Leonid Chechurin, Sergej Chechurin, Springer International Publishing
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Leonid Chechurin, Sergej Chechurin ISBN: 9783319751542
Publisher: Springer International Publishing Publication: April 16, 2018
Imprint: Springer Language: English
Author: Leonid Chechurin, Sergej Chechurin
ISBN: 9783319751542
Publisher: Springer International Publishing
Publication: April 16, 2018
Imprint: Springer
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Springer International Publishing

Cover of the book Efficient Sensor Interfaces, Advanced Amplifiers and Low Power RF Systems by Leonid Chechurin, Sergej Chechurin
Cover of the book Transport Phenomena and Drying of Solids and Particulate Materials by Leonid Chechurin, Sergej Chechurin
Cover of the book Carbon Nanomaterials for Biomedical Applications by Leonid Chechurin, Sergej Chechurin
Cover of the book Grid Generation Methods by Leonid Chechurin, Sergej Chechurin
Cover of the book U.S. Foreign Policy Discourse and the Israel Lobby by Leonid Chechurin, Sergej Chechurin
Cover of the book Dynamic Stability and Bifurcation in Nonconservative Mechanics by Leonid Chechurin, Sergej Chechurin
Cover of the book Social Computing and Social Media by Leonid Chechurin, Sergej Chechurin
Cover of the book Functional and Logic Programming by Leonid Chechurin, Sergej Chechurin
Cover of the book Analytical Corporate Finance by Leonid Chechurin, Sergej Chechurin
Cover of the book Thriving Rough Sets by Leonid Chechurin, Sergej Chechurin
Cover of the book War and Memory in Russia, Ukraine and Belarus by Leonid Chechurin, Sergej Chechurin
Cover of the book The Carrera Revolt and 'Hybrid Warfare' in Nineteenth-Century Central America by Leonid Chechurin, Sergej Chechurin
Cover of the book Economics and Finance in Mauritius by Leonid Chechurin, Sergej Chechurin
Cover of the book C-H Bond Activation and Catalytic Functionalization I by Leonid Chechurin, Sergej Chechurin
Cover of the book Social Ecology by Leonid Chechurin, Sergej Chechurin
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy