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Erschienen in:
Crashworthiness of Tapered Beams in Automotive Application Kapitel lesen Erstes Kapitel lesen

2016 | OriginalPaper | Buchkapitel

7. Nonlinear Forced Vibration of Nanobeams

verfasst von : Mohammad M. Aghdam, Hamed Niknam

Erschienen in: Nonlinear Approaches in Engineering Applications

Verlag: Springer International Publishing

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Abstract

In this chapter, the effects of nonlocal stress field on the beam excited with distributed and concentrated harmonic loads are investigated. The Euler–Bernoulli assumptions together with Von Karman geometric type nonlinearity are used to formulate the strain field. The stress field is written based on Eringen’s nonlocal theory. Applying the Hamilton principle, the governing partial differential equation is obtained. Implementing Galerkin technique together with Ritz averaging method, closed form solutions are presented for both time and frequency responses of the beam.

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Vorheriges Kapitel An Active Vibration Control Strategy for Simply Supported Beams
Nächstes Kapitel Analytical Solutions for Generalized Duffing Equation
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Metadaten
Titel
Nonlinear Forced Vibration of Nanobeams
verfasst von
Mohammad M. Aghdam
Hamed Niknam
Copyright-Jahr
2016
Buch
Nonlinear Approaches in Engineering Applications

Print ISBN: 978-3-319-27053-1

Electronic ISBN: 978-3-319-27055-5

Copyright-Jahr: 2016

DOI
https://doi.org/10.1007/978-3-319-27055-5_7

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