Dynamic stability of harmonically excited nanobeams including axial inertia
Küçük Resim Yok
Tarih
2019
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Sage Publications Ltd
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
This article is concerned with the dynamic stability problem of a nanobeam under a time-varying axial loading. The nonlocal Euler-Bernoulli beam model has been used for the continuum modeling of the nanobeam structure. This problem leads to a time-dependent Mathieu-Hill equation and has been solved by using the Lindstedt-Poincare perturbation expansion method. The effect of a small-scale parameter on the dynamic displacement and critical dynamic buckling load of nanobeams has been investigated. Stability regions have been obtained from the local and nonlocal elasticity theories. The effect of the longitudinal vibration of nanobeams on instability regions has been included in the present analysis. Amplitudes of an arbitrary point of a nanobeam due to harmonic loads have been determined. Nonlocal and longitudinal vibration effects reduce the area of the instability region and increase amplitudes.
Açıklama
Anahtar Kelimeler
Dynamic Buckling, Nanobeams, Instability Region, Perturbation, Nonlocal Elasticity, Walled Carbon Nanotubes, Nonlocal Elasticity, Buckling Analysis, Vibration, Bearing, Models
Kaynak
Journal Of Vibration And Control
WoS Q Değeri
Q2
Scopus Q Değeri
Q2
Cilt
25
Sayı
4
