Hygro-thermo-magnetically induced vibration of nanobeams with simultaneous axial and spinning motions based on nonlocal strain gradient theory
Document Type
Article
Publication Date
6-1-2022
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.
Keywords
Axially moving and spinning nanobeam, Nonlocal and strain gradient effects, Coupled vibrations, Flutter and divergence analysis, Complex environmental conditions
Divisions
sch_civ
Funders
Shaanxi Innovation Capability Support Plan [Grant No. 2020PT-027],Shaanxi Provincial Key Research and Development Program
Publication Title
Engineering with Computers
Volume
38
Issue
3
Publisher
Springer Verlag
Publisher Location
ONE NEW YORK PLAZA, SUITE 4600, NEW YORK, NY, UNITED STATES