Thermoelastic characteristics of moving viscoelastic nanobeams based on the nonlocal couple stress theory and dual-phase lag model

Thermal behavior of a moving viscoelastic nanobeam under the influence of periodic thermal load is considered in the framework of Kelvin-Voigt viscoelastic model with fractional operators. The equation of motion for axially moving nanobeam is modeled by employing the Eringen's nonlocal elastic theory in conjunction with the couple stress hypothesis and the conventional Euler-Bernoulli beam model. The thermoelastic features is then established by employing the generalized dual phase-lag heat conduction model. After utilizing the Laplace transform, the thermomechanical equations are coupled and solved. The current results are validated by presenting numerical examples and comparing with previous solutions obtained by traditional theories in the literature. According to the provided numerical simulations, the deflection of the axially moving nanobeam as well as its temperature change reduce with the axial velocity and the influences of small scale and nonlocal parameters are also revealed and discussed.

Automated summary

This study explores the thermal behavior of a moving viscoelastic nanobeam under periodic thermal load using the Kelvin-Voigt viscoelastic model, Eringen's nonlocal elastic theory, and a generalized dual phase-lag heat conduction model. The results highlight the reduction in deflection and temperature change with axial velocity, and the influences of small scale and nonlocal parameters are discussed.