Three-dimensional analysis of nonlocal plate vibration in the framework of space-fractional mechanics — Theory and validation

Soner Aydinlik*, Ahmet Kiris, Wojciech Sumelka

*Bu çalışma için yazışmadan sorumlu yazar

Araştırma sonucu: ???type-name???Makalebilirkişi

11 Atıf (Scopus)

Özet

This work aims to study the vibration analysis of nonlocal plates utilizing space-fractional mechanics. Riesz–Caputo fractional derivative is used to define nonlocality and the frequency spectrum and mode shapes of the plate with one clamped edge and three free edges (CFFF) are carried out for different values of the fractional continua order α and the length scale parameter l. The 3-D vibration analysis is obtained by well-known Ritz energy method. The frequencies are obtained for different values of fractional material properties (α and l). Moreover, the modes shapes and absolute differences between classical and fractional eigenvectors for the first nine frequencies are presented by using contour plots. The main contribution of the paper is that the nonlocal approach utilizing the fractional calculus gives better results compared to the experimental outcomes than the classical local theory. The overall conclusion is that fractional mechanics establishes a new model for nonlocal vibration analysis.

Orijinal dilİngilizce
Makale numarası107645
DergiThin-Walled Structures
Hacim163
DOI'lar
Yayın durumuYayınlandı - Haz 2021

Bibliyografik not

Publisher Copyright:
© 2021 Elsevier Ltd

Finansman

This work is supported by the National Science Centre, Poland under Grant No. 2017/27/B/ST8/00351 .

FinansörlerFinansör numarası
Narodowe Centrum Nauki2017/27/B/ST8/00351

    Parmak izi

    Three-dimensional analysis of nonlocal plate vibration in the framework of space-fractional mechanics — Theory and validation' araştırma başlıklarına git. Birlikte benzersiz bir parmak izi oluştururlar.

    Alıntı Yap