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Erschienen in:
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2019 | OriginalPaper | Buchkapitel

3. Energy Balance Methods

verfasst von : Ebrahim Esmailzadeh, Davood Younesian, Hassan Askari

Erschienen in: Analytical Methods in Nonlinear Oscillations

Verlag: Springer Netherlands

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Abstract

Most of semi-analytical techniques, based on Energy Balance method (EBM), are presented in this chapter and the fundamental of Energy Balance method and its modified version, based on the Galerkin and Petrov–Galerkin approaches, are discussed. The first-, second- and the third-order Hamiltonian approaches are comprehensively illustrated and the Rational Energy Balance method, as a potent technique for solving nonlinear oscillators, is presented. The applications of the above-mentioned techniques for solving a large number of nonlinear differential equations with applications in structural vibrations, nano systems and fluid sloshing have been fully discussed. More than twenty examples, based on the recently published works in the area of nonlinear oscillations, are selected to reiterate the important potential of Energy Balance method in analyzing the nonlinear systems.

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Vorheriges Kapitel Classical Methods
Nächstes Kapitel Residual Methods
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Metadaten
Titel
Energy Balance Methods
verfasst von
Ebrahim Esmailzadeh
Davood Younesian
Hassan Askari
Copyright-Jahr
2019
Verlag
Springer Netherlands
Buch
Analytical Methods in Nonlinear Oscillations

Print ISBN: 978-94-024-1540-7

Electronic ISBN: 978-94-024-1542-1

Copyright-Jahr: 2019

DOI
https://doi.org/10.1007/978-94-024-1542-1_3

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