Nonlocal strain gradient approach for axial vibration analysis of arbitrary restrained nanorod

Uzun, BÜŞRA; Civalek, Ömer; Yaylı, MUSTAFA

doi:10.1007/s40430-022-03823-1

Nonlocal strain gradient approach for axial vibration analysis of arbitrary restrained nanorod

Atıf İçin Kopyala

Uzun B., Civalek Ö., Yaylı M. Ö.

JOURNAL OF THE BRAZILIAN SOCIETY OF MECHANICAL SCIENCES AND ENGINEERING, cilt.44, ss.532-550, 2022 (SCI-Expanded)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 44
Basım Tarihi: 2022
Doi Numarası: 10.1007/s40430-022-03823-1
Dergi Adı: JOURNAL OF THE BRAZILIAN SOCIETY OF MECHANICAL SCIENCES AND ENGINEERING
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Aerospace Database, Communication Abstracts, Compendex, INSPEC, Metadex, Civil Engineering Abstracts
Sayfa Sayıları: ss.532-550
Bursa Uludağ Üniversitesi Adresli: Evet

Özet

Axial free vibration analysis of small size-dependent nanorod subjected to deformable restrained boundary conditions is carried out in the present work. Unlike previous works, the formulation is rewritten without resorting to any un-deformable boundary conditions neither clamped ends with Navier approximation nor considering nanorod as a compact form without any discontinuities, and the boundary conditions are assumed to be gradually deformable in the axial direction. Within the framework of Fourier sine series and Stokes’ transformation, an eigenvalue problem is constructed to obtain the axial vibration frequencies. In addition, the higher-order elasticity model contains a material scale parameter considering the prominence of strain gradient stress feld and a nonlocal coefcient considering the prominence of nonlocal elastic stress feld. The validity of the presented procedure is checked by comparing the obtained results by giving proper values to elastic spring parameters, and good agreement is achieved. Numerical results and graphical representation are presented to demonstrate the applicability of the presented eigenvalue solution to examine the free axial response of nanorods with arbitrary boundary conditions. Efects of small-scale parameters on the dynamic response of nanorods are discussed in detail.