Abstract
In this article, the generalized thermoelastic problem of an axially moving microbeam subjected to ramp-type heating is studied. Based on the heat conduction equation containing the thermoelastic coupling term and the classical Euler-Bernoulli thin beam theory, the thermoelastic coupling differential equation of motion of the microbeam is established. The generalized thermoelasticity theory with dual-phase-lags (DPLs) model is used to solve this problem. An analytical technique is used to calculate the vibration of deflections and temperature. The effects of the PLs, the transport speed and the ramp-time parameters on the lateral vibration, temperature, displacement, stress, bending moment, and strain energy density of the microbeam are discussed. Some comparisons have been shown graphically to estimate the effects of the dimensionless speed as well as the time on all the studied fields. The through-the-thickness distributions of all fields are also investigated.