An Axially Compressed Moving Nanobeam Based on the Nonlocal Couple Stress Theory and the Thermoelastic DPL Model

This article introduces a new model that can be used to describe elastic thermal vibrations caused by changes in temperature nanobeams response transverse external excitations. Using the idea of nonlocal elasticity and dual-phase lagging thermoelastic (DPL), coupled equations motion heat transfer were derived explain small-scale effects. Additionally, modified couple stress theory (MCST) Euler–Bernoulli (EB) beam assumptions considered. The proposed was verified considering thermodynamic moving horizontally at constant speed while one end is subjected periodic load. system governing has been solved numerically with help Laplace transforms tested evolutionary algorithms. effects changing modulus, magnitude force, length scale parameter on fields investigated. It also shown how behavior nanobeam depending phase delay factors addition horizontal velocity beam. To determine this model’s accuracy, its results compared classical continuity concepts. numerical show when moves, change studied mechanical vibration wave patterns physical fields. during thermally stimulated vibrations, have implications for dynamic design performance improvement nanostructures must