Reducing thermal shock-induced vibration of an axially moving beam via a nonlinear energy sink

Thermal shock-induced vibration suppression of an axially moving beam with a nonlinear energy sink (NES) is investigated. Owing to thermal shock on the beam, the beam is subjected to excessive vibrations. The equation for the transverse vibration of the beam with thermal shock is established using Hamilton's principle, and the equation for the beam with NES is approximated by the Galerkin method. A numerical algorithm is used to obtain the displacement responses of the beam with and without NES attached under thermal shock. The NES efficiencies at different positions are obtained. Results show the NES can absorb a large number of vibrational energy.