O. Cuvalci et A. Ertas, PENDULUM AS VIBRATION ABSORBER FOR FLEXIBLE STRUCTURES - EXPERIMENTS AND THEORY, Journal of vibration and acoustics, 118(4), 1996, pp. 558-566
The dynamic response of a beam-tip mass-pendulum system subjected to a
sinusoidal excitation is investigated. A simple pendulum mounted to a
tip mass of a beam is used as a vibration absorber. The nonlinear equ
ations of motion are developed to investigate the autoparametric inter
action between the first two modes of the system. The nonlinear terms
appear due to the curvature of the beam and the coupling effect betwee
n the beam and pendulum. Complete energy transfer between modes is sho
wn to occur when the beam frequency is twice the pendulum frequency. E
xperimental results are compared with a theoretical solution obtained
using numerical integration. The experimental results are in qualitati
ve agreement with the theory.