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- Title
Impacts of Complex Fields and Surface Energy on Forced and Free Vibrations of Rayleigh Nanobeams Under a Traveling Load.
- Authors
Du, Bin; Xu, Fan; Fen, Zhibin
- Abstract
Purpose: The scale-dependent forced and free vibrational behaviors of a nanobeam located on variable elastic foundations subjected to a transverse moving load and an axial tensile force are analyzed based on the nonlocal Rayleigh beam theory. Meanwhile, a comprehensive parametric investigation is accomplished to elucidate the impacts of various system parameters, such as geometry, foundation coefficients, rotational inertia factor, surface energy, and hygro-thermo-magnetic fields on the dynamical response of the nanobeam. Methods: The dynamical equation of the system is derived by considering linear, parabolic, and sinusoidal distributions for the elastic foundation. Employing the Galerkin discretization technique and eigenvalue analysis, the vibrational frequencies of the system are determined numerically. The dynamical response of the system is also acquired analytically. Results: The critical velocity of the moving load and the dynamical amplification factor for the forced vibration of the system are computed. In addition, the conditions of the cancellation phenomenon and the maximum amplitude of free vibration are determined. The outcomes indicated that, in contrast to the effects of axial tensile force and elastic foundations, the critical velocity of the moving load decreases with increasing the nonlocal parameter and the rotational inertia factor. Moreover, it is inferred that the cancellation velocities of the moving load can be increased by exerting a magnetic field and increasing the length-to-thickness ratio of nanobeams. Conclusions: The findings reveal that considering the impacts of the surface energy, rotational inertia factor, and environmental conditions is essential to the dynamical analysis of small-scale structures under traveling loads.
- Subjects
SURFACE energy; LIVE loads; ELASTIC foundations; MOMENTS of inertia; CRITICAL velocity; AXIAL loads; FREQUENCIES of oscillating systems; FREE vibration
- Publication
Journal of Vibration Engineering & Technologies, 2024, Vol 12, Issue 3, p4809
- ISSN
2523-3920
- Publication type
Article
- DOI
10.1007/s42417-023-01154-6