Staff Members - Benha University
Thermoelastic Vibrations of Nonlocal Nanobeams Resting on a Pasternak Foundation via DPL Model
Journal of Applied and Computational Mechanics • 2021
Publication Information
Authors
M. E. Nasr; Ahmed e. Abouelregal; A Solieman; K. M. Khalil
Keywords
Nanobeams, Nonlocal thermoelasticity, Ramp-type heating, Foundation.
Journal
Journal of Applied and Computational Mechanics
Publisher
Shahid Chamran University of Ahvaz
Volume
7
Issue
1
Pages
34-44
publication.type
International
Paper Link
Open Link
Supplementary Materials
Not Available
Abstract
The present work introduces the thermoelastic vibrations of nonlocal nanobeams resting on a two-parameter
foundation. The governing equations are formulated for linear Winkler–Pasternak foundation type based on the generalized dualphase-lag heat conduction and nonlocal beams theories. The nanobeam is subjected to a temperature ramping function. The
coupled equations of the problem are formulated and solved by Laplace transform technique. The effects of the nonlocal
parameter and different foundation parameters on the field variables are illustrated graphically and discussed. The results
obtained are consistent with previous analytical and numerical results.
foundation. The governing equations are formulated for linear Winkler–Pasternak foundation type based on the generalized dualphase-lag heat conduction and nonlocal beams theories. The nanobeam is subjected to a temperature ramping function. The
coupled equations of the problem are formulated and solved by Laplace transform technique. The effects of the nonlocal
parameter and different foundation parameters on the field variables are illustrated graphically and discussed. The results
obtained are consistent with previous analytical and numerical results.