Vibration studies of an axially moving epoxy-carbon nanofiber composite beam in thermal environment—Effect of various nanofiber reinforcements

Free vibrations of an axially moving multiscale composite beam in thermal environment are analyzed. The beam material is epoxy resin with variously reinforced and randomly oriented or aligned in electric field carbon nanofibers (CNFs). To describe the thermomechanical properties of the beam material, published dynamic characteristic of stationary multiscale composites were taken into consideration. Using the frequency–temperature equivalence principle, the nanocomposite material of the beam is modeled using four-parameter fractional rheological model. The dynamic characteristics of the multiscale polymer beam in the frequency domain made it possible to determine the partial equation of motion of the axially moving beam. The Galerkin method is used to solve the governing partial differential equation. The effects of various nanofiber reinforcements of randomly oriented, and aligned in electric field fibers at different temperatures, on the free vibration of the axially moving beam are investigated.