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.