Lateral vibration of an axially moving thermoelastic nanobeam subjected to an external transverse excitation

AIMS Mathematics

article

Osama Moaaz¹  Ahmed E. Abouelregal²  Fahad Alsharari² 

[1] Department of Mathematics, College of Science, Qassim University;Department of Mathematics, College of Science and Arts, Jouf University;Department of Mathematics, Faculty of Science, Mansoura University

关键词: nonlocal theory;    moving beams;    phase-lag;    external load;    EB theory;   

DOI  :  10.3934/math.2023118

学科分类：地球科学(综合)

来源: AIMS Press

【 摘 要 】

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.

【 授权许可】

CC BY