Physical Fundamentals of Oscillations Frequency Analysis of Periodic
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 reso
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Physical Fundamentals of Oscillations Frequency Analysis of Periodic Motion Stability
Physical Fundamentals of Oscillations
Leonid Chechurin Sergej Chechurin •
Physical Fundamentals of Oscillations Frequency Analysis of Periodic Motion Stability
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Leonid Chechurin Lappeenranta University of Technology Lappeenranta Finland
Sergej Chechurin St. Petersburg State Polytechnic University St. Petersburg Russia
and
St. Petersburg State Polytechnic University St. Petersburg Russia
ISBN 978-3-319-75153-5 ISBN 978-3-319-75154-2 https://doi.org/10.1007/978-3-319-75154-2
(eBook)
Library of Congress Control Number: 2018930382 © Springer International Publishing AG, part of Springer Nature 2017 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. The publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, express or implied, with respect to the material contained herein or for any errors or omissions that may have been made. The publisher remains neutral with regard to jurisdictional claims in published maps and institutional affiliations. Printed on acid-free paper This Springer imprint is published by the registered company Springer International Publishing AG part of Springer Nature The registered company address is: Gewerbestrasse 11, 6330 Cham, Switzerland
Acknowledgments
The authors would like to acknowledge Dr. Elena Kutueva for her tremendous help in translating the book into English and editing the main part of the book. Without her, the writing would have taken much longer if not be possible at all. We thank Mrs. Aleksandra Tcaregorodtceva for the cover design. The cover photo depicts a scene from a family anecdote—a father-and-son story. The tale begins with the first book on period motion stability analysis published by Sergei Chechurin, in Russian, almost 40 years ago. The book had a silhouette of a boy standing on a swing on its cover. The illustration was described: “It was a summer morning on the bank of a lake near our house. I was teaching my three-year-old son how to use the old wooden swing crafted by my father. My plan was to lecture how to generate stable self-oscillations, in other words, to swing. I explained a piece of theory and gave
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