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Measurement System of Impact Force and Specimen Deflection Based on Electromagnetic Induction Phenomena Read chapter Read first chapter

2019 | OriginalPaper | Chapter

Harmonic Balance Method and Stability of Discontinuous Systems

Authors : E. V. Kudryashova, N. V. Kuznetsov, O. A. Kuznetsova, G. A. Leonov, R. N. Mokaev

Published in: Dynamics and Control of Advanced Structures and Machines

Publisher: Springer International Publishing

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Abstract

The development of the theory of discontinuous dynamical systems and differential inclusions was not only due to research in the field of abstract mathematics but also a result of studies of particular problems in mechanics. One of the first methods, used for the analysis of dynamics in discontinuous mechanical systems, was the harmonic balance method developed in the thirties of the twentieth century. In our work, the results of analysis obtained by the method of harmonic balance, which is an approximate method, are compared with the results obtained by rigorous mathematical methods and numerical simulation.

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Footnotes
1
The history of the dry friction law can be found, e.g., in [14].
 
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Metadata
Title
Harmonic Balance Method and Stability of Discontinuous Systems
Authors
E. V. Kudryashova
N. V. Kuznetsov
O. A. Kuznetsova
G. A. Leonov
R. N. Mokaev
Copyright Year
2019
Book
Dynamics and Control of Advanced Structures and Machines

Print ISBN: 978-3-319-90883-0

Electronic ISBN: 978-3-319-90884-7

Copyright Year: 2019

DOI
https://doi.org/10.1007/978-3-319-90884-7_11

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