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Effect of inerter in traditional and variant dynamic vibration absorbers for one degree-of-freedom systems subjected to base excitations

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Barathwaaj D. L. , Yegateela S. , Vardhan V. , Suresh V. , Kaliyannan D.

Mechanics and Mechanical Engineering

2019

tom Vol. 23, nr 1

9--16

In this paper, closed-form optimal parameters of inerter-based variant dynamic vibration absorber (variant IDVA) coupled to a primary system subjected to base excitation are derived based on classical fixed-points theory. The proposed variant IDVA is obtained by adding an inerter alone parallel to the absorber damper in the variant dynamic vibration absorber (variant DVA). A new set of optimum frequency and damping ratio of the absorber is derived, thereby resulting in lower maximum amplitudę magnification factor than the inerter-based traditional dynamic vibration absorber (traditional IDVA). Under the optimum tuning condition of the absorbers, it is proved both analytically and numerically that the proposed variant IDVA provides a larger suppression of resonant vibration amplitude of the primary system subjected to base excitation. It is demonstrated that adding an inerter alone to the variant DVA provides 19% improvement in vibration suppression than traditional IDVA when the mass ratio is less than 0.2 and the effective frequency bandwidth of the proposed IDVA is wider than the traditional IDVA. The effect of inertance and mass ratio on the amplitude magnification factor of traditional and variant IDVA is also studied.

Application of the continuous dynamic absorbers in local and global vibration reduction problems in beams

100%

Łatas W.

tom Vol. 27

245--254

The paper deals with the application of the continuous dynamic absorbers in vibration reduction problems in beams. The Euler-Bernoulli beam of variable cross-section is subjected to the concentrated and distributed harmonic excitation forces. The beam is equipped with a system of the continuous vibration absorbers. The problem of the forced vibration is solved employing the Galerkin’s method and Lagrange’s equations of the second kind. Performing time-Laplace transformation the amplitudes of displacement may be written in the frequency domain, similarly the time-averaged kinetic energy of any part of the beam. The results of some local and global vibration control optimization problems concerning the placement and parameters of the continuous vibration absorbers are presented.