Nonlocal vibration analysis of microstretch plates in the framework of space-fractional mechanics—theory and validation

Soner Aydinlik*, Ahmet Kiris, Wojciech Sumelka

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8 Atıf (Scopus)

Özet

In this paper, the nonlocal vibration analysis of plates modeled by generalized microstretch theory using Riesz–Caputo fractional derivative concept is presented. The frequency spectrum and the mode shapes of the microstretch plate with two clamped edges and two free edges for different values of the fractional continua order and the material length scale parameter are carried out. The three-dimensional vibration analysis is obtained by Ritz energy method. Moreover, the mode shapes and the absolute differences between classical and fractional eigenvectors for the first six macrofrequencies and additional microfrequencies between them 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. Besides, defining the nonlocality without using the nonlocal kernels is another advantage of the present approach. The overall conclusion is that the fractional mechanics establishes a new model for the nonlocal vibration analysis of microstretch plates.

Orijinal dilİngilizce
Makale numarası169
DergiEuropean Physical Journal Plus
Hacim136
Basın numarası2
DOI'lar
Yayın durumuYayınlandı - Şub 2021

Bibliyografik not

Publisher Copyright:
© 2021, The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature.

Finansman

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

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

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