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Lateral vibration of an axially moving thermoelastic nanobeam subjected to an external transverse excitation
- Source :
- AIMS Mathematics, Vol 8, Iss 1, Pp 2272-2295 (2023)
- Publication Year :
- 2023
- Publisher :
- AIMS Press, 2023.
-
Abstract
- This paper gives a mathematical formulation for the transverse resonance of thermoelastic nanobeams that are simply supported and compressed with an initial axial force. The nonlocal elasticity concept is used to analyze the influence of length scale with the dual-phase-lag (DPL) heat transfer theory. The nanobeam is due to a changing thermal load and moves in one direction at a constant speed. The governing motion equation for the nonlocal Euler-Bernoulli (EB) beam hypothesis can also be derived with the help of Hamilton's principle and then solved by means of the Laplace transform technique. The impacts of nonlocal nanoscale and axial velocity on the different responses of the moving beam are investigated. The results reveal that phase delays, as well as the nonlocal parameter and external excitation load, have a substantial impact on the system's behavior.
- Subjects :
- nonlocal theory
moving beams
phase-lag
external load
eb theory
Mathematics
QA1-939
Subjects
Details
- Language :
- English
- ISSN :
- 24736988
- Volume :
- 8
- Issue :
- 1
- Database :
- Directory of Open Access Journals
- Journal :
- AIMS Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- edsdoj.1f0be438812a433db6aa74983b88189c
- Document Type :
- article
- Full Text :
- https://doi.org/10.3934/math.2023118?viewType=HTML