OPTIMAL POSITIONS OF TUNABLE TRANSLATIONAL AND ROTATIONAL DYNAMIC ABSORBERS IN GLOBAL VIBRATION CONTROL IN BEAMS

The paper discusses the problem of vibration of an Euler-Bernoulli beam with translational
and rotational dynamic absorbers attached. The beam is subjected to concentrated and
distributed harmonic forces. The equation of motion is solved using the Fourier method. The
time Laplace transformation allows one to determine the amplitude-frequency characteristics
of the beam deflection. The aim of the study is to examine the influence of positions of the
translational and rotational dynamic absorbers on vibration suppression in the global control
problem in beams. Numerical examples present reduction of kinetic energy of the cantilever
beam with tunable absorbers over a wide range of frequencies. Optimal positions of the
absorbers are obtained.