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Engineering with Computers
Erschienen in: Engineering with Computers 1/2021

07.09.2019 | Original Article

Nonlinear vibration and dynamic instability analysis nanobeams under thermo-magneto-mechanical loads: a parametric excitation study

verfasst von: Farzad Ebrahimi, S. Hamed S. Hosseini

Erschienen in: Engineering with Computers | Ausgabe 1/2021

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Abstract

The nonlinear vibration behavior and dynamic instability of Euler–Bernoulli nanobeams under thermo-magneto-mechanical loads is the main objective of the present paper. Firstly, a short Euler–Bernoulli nanobeam is modeled and exposed to an external parametric excitation. Based on the nonlocal continuum theory and nonlinear von Karman beam theory, the nonlinear governing differential equation of motion is derived. Secondly, to transport the partial differential equation to the ordinary differential equation, Galerkin method is applied. Then, multiple scales method, as an analytical approach, is used to solve the equation. At the end, modulation equation of Euler–Bernoulli nanobeams is obtained. Then, to evaluate the dynamic instability of the system, trivial and nontrivial steady-state solutions are discussed. Emphasizing the effect of parametric excitation, for considering the instability regions, bifurcation points are studied and investigated. As a result, it can be observed that the damping coefficient plays an effective role as well as parametric excitation in stability and frequency response of the system.
Vorheriger Artikel Reliability-based structural design optimization: hybridized conjugate mean value approach
Nächster Artikel Nonlinear modeling for bar bond stress using dynamical self-adjusted harmony search optimization

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Metadaten
Titel
Nonlinear vibration and dynamic instability analysis nanobeams under thermo-magneto-mechanical loads: a parametric excitation study
verfasst von
Farzad Ebrahimi
S. Hamed S. Hosseini
Publikationsdatum
07.09.2019
Verlag
Springer London
Erschienen in
Engineering with Computers / Ausgabe 1/2021
Print ISSN: 0177-0667
Elektronische ISSN: 1435-5663
DOI
https://doi.org/10.1007/s00366-019-00830-0

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