Back to Search Start Over

Effect of non‐local modified couple stress theory on the responses of axially moving thermoelastic nano‐beams.

Effect of non‐local modified couple stress theory on the responses of axially moving thermoelastic nano‐beams.

Authors :
Abouelregal, Ahmed E.
Source :
ZAMM -- Journal of Applied Mathematics & Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik; Apr2024, Vol. 104 Issue 4, p1-22, 22p
Publication Year :
2024

Abstract

The present study examines the lateral thermal vibrations of a nanobeam subjected to an axial motion while being influenced by a sinusoidal thermal load. The partial differential equation describing the system was obtained using the extended Hamiltonian principle. Also considered were the Euler‐Bernoulli (EB) beam, the nonlocal couple stress theory, and Eringen's nonlocal elasticity model. This type of axially moving beam has multiple applications in design, including industrial, civil, structural, chemical, and computer engineering. The Laplace transform technique is utilized to translate partial differential equations into a thermoelastic differential equation of the sixth order. This study investigates the impact of nanobeam size and velocity on thermo‐mechanical characteristics. To explore the impacts of axial velocity, pulse width, nonlocal index, material length scale coefficient, and phase lag coefficients on the examined studied fields, such as lateral vibration and temperature change for the moving nanobeam are calculated. The specified factors were discovered to impact the flexibility and dynamic response of the nanobeam substantially. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00442267
Volume :
104
Issue :
4
Database :
Complementary Index
Journal :
ZAMM -- Journal of Applied Mathematics & Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik
Publication Type :
Academic Journal
Accession number :
176496664
Full Text :
https://doi.org/10.1002/zamm.202200233