OPTIMAL TUNING OF THE TUNABLE TRANSLATIONAL-ROTATIONAL DYNAMIC ABSORBERS IN GLOBAL VIBRATION CONTROL PROBLEMS IN BEAMS

The paper deals with vibration of the beam subjected to the concentrated and distributed harmonic forces, with the translational-rotational dynamic vibration absorbers attached. The linear Euler-Bernoulli beam model is assumed, the solution of the equation of motion is found with the use of Fourier method. The time-Laplace transformation allows to obtain the displacement amplitude in the frequency domain. Numerical examples present a problem of minimization of the kinetic energy of the whole or the part of the beam by optimal tuning the translational-rotational dynamic vibration absorber. The results of calculation confirm the effectiveness of using the translational-rotational dynamic absorbers in beams. In the examples studied the optimal tuning strategies minimizing the kinetic energy are determined.

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