DYNAMICS OF A FLEXIBLE CANTILEVER BEAM CARRYING A MOVING MASS

The motion of a flexible cantilever beam carrying a moving spring-mass system is investigated. The beam is assumed to be an Euler-Bernouli b eam. The motion of the system is described by a set of two nonlinear c oupled partial differential equations where the coupling terms have to be evaluated at the position of the mass. The nonlinearities arise du e to the coupling between the mass and the beam. Due to the nonlineari ties the system exhibits internal resonance which is investigated in t his work. The equations of motion are solved numerically using the Ray leigh-Ritz method and an automatic ODE solver. An approximate solution using the perturbation method of multiple scales is also obtained.