On-line identification of physical parameters involved with dynamic beams: experimental study

An online algorithm for identifying the unknown physical parameters involved with a class of flexible dynamic beams is investigated. The coefficient of the Kelvin-Voigt structural damping and the Young´s modulus of the beam material are considered as unknown parameters. Based on the observation data taken at the free end of the cantilevered beam, the Gauss-Newtonian least squares algorithm is proposed by linking up the iteration number with the current sampling time at which the update observation data is taken. The convergence of the algorithm is demonstrated, and the results of the experiment as well as the simulation studies are presented, emphasising that the simultaneous identification of the damping coefficient and the Young´s modulus is quite important