A moving load's influence on nanobeams resting on a two-parameter Pasternak foundation using the DPL model

Abstract

Thermoelastic vibrations of a nonlocal nanobeam lying on a two-parameter basis and
subjected to a transverse moving load are introduced in the current study. For the linear
Winkler-Pasternak foundation type, governing equations are established on the basis of
the generalized dual-phase-lag heat conduction and nonlocal beams theories. Ramp-type
changing heat is applied to the nanobeam. The Laplace transform approach is used to
define and solve the problem's linked equations. A graphic is used to illustrate and
discuss how the nonlocal parameter and several foundation parameters affect the field
variables. The results are in line with previous analytical and numerical finding