Hygro-thermo-magnetically induced vibration of nanobeams with simultaneous axial and spinning motions based on nonlocal strain gradient theory

Bai, Yu and Suhatril, Meldi and Cao, Yan and Forooghi, Ali and Assilzadeh, Hamid (2022) Hygro-thermo-magnetically induced vibration of nanobeams with simultaneous axial and spinning motions based on nonlocal strain gradient theory. Engineering with Computers, 38 (3). pp. 2509-2526. ISSN 0177-0667, DOI https://doi.org/10.1007/s00366-020-01218-1.

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Abstract

In this paper, based on the nonlocal strain gradient theory (NSGT), the coupled vibrations of nanobeams with axial and spinning motions under complex environmental changes are modeled. A detailed parametric investigation is also performed to determine the effect of size-dependent parameters, boundary conditions, hygro-thermo-magnetic loads, axial and spin velocities on the dynamical behavior and stability regions of the system. Adopting the Galerkin discretization technique, the eigenvalue problem is solved, and natural frequencies, divergence and flutter instability thresholds of the system are extracted accordingly. The acquired outcomes are compared with the reported results in the literature. Besides, the accuracy of the numerical method is compared with analytical approaches and a good agreement is observed. The obtained results demonstrate that considering the nonlocal and hygro-thermal effects in modeling has destabilizing impacts on the dynamical response of the system. While imposing the strain gradient term and magnetic field leads to the enhancement of vibrational frequencies and enlargement of stability areas. In addition, it is concluded that in hygro-thermal environments, by ascending the spin velocity, instead of the occurrence of divergence instability, the system experiences the flutter conditions. Meanwhile, the attained outcomes indicated that the variation of spin velocity does not affect the flutter instability threshold of the system.

Item Type: Article
Funders: Shaanxi Innovation Capability Support Plan [Grant No. 2020PT-027], Shaanxi Provincial Key Research and Development Program
Uncontrolled Keywords: Axially moving and spinning nanobeam; Nonlocal and strain gradient effects; Coupled vibrations; Flutter and divergence analysis; Complex environmental conditions
Subjects: Q Science > QA Mathematics > QA75 Electronic computers. Computer science
T Technology > TA Engineering (General). Civil engineering (General)
T Technology > TJ Mechanical engineering and machinery
Divisions: Faculty of Engineering > Department of Civil Engineering
Depositing User: Ms. Juhaida Abd Rahim
Date Deposited: 09 Oct 2023 03:03
Last Modified: 09 Oct 2023 03:03
URI: http://eprints.um.edu.my/id/eprint/42473

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