Hysteretic Beam and Temperature Effect

In this work, we focus on the problem of the dynamics of vibrations of the hysteresis beam taking into account the temperature effects depending on the external load: shock, periodic and seismic. The classical Euler-Bernoulli model is considered as an initial stage for a beam model. Also, we introduced the distributed hysteresis properties to consider the hysteresis beam. The well-known Bouc-Wen model is used as a hysteresis carrier. The temperature simulation is implemented within the one-dimensional heat conduction equation. To connect the beam oscillation equation and the thermal conductivity equation, we used a dissipation function which physically corresponds to transformation of the oscillation energy into heat. The results of numerical simulation for classical and hysteresis beams are presented and discussed. Particularly, the obtained results show that the beam with hysteresis properties exhibits sufficiently different dynamical behaviour compared to the classical model. The temperature distribution also exhibits specific difference between the classical and hysteresis beams.