Optimal Cantilever Dynamic Vibration Absorbers by Timoshenko Beam Theory

Abstract

Professor Bruno Piombo has shown us that the passion for the research and for teaching is a never-ending gift.Abstract. A double-ended cantilever beam as a distributed parameter dynamic vibration absorber has been applied to a singledegree-of-freedom system subjected to harmonic forces.In this investigation, the beam has been analyzed under the well known model of Timoshenko and the computation of best parameters is based on the Chebyshev's optimality criterion. This is somewhat novel in the field since:-the design of cantilever beams as dynamic vibration absorbers is usually made under the hypotheses of the Euler-Bernoulli theory; -it is the first time that the Chebyshev's criterion is applied to the design of a double-ended cantilever beam used as a dynamic vibration absorber.For a ready use of the results herein presented, design charts allow a quick choice of optimal parameters such as tuning ratio and mass ratio.

Design and Experimental Implementation of a Beam-Type Twin Dynamic Vibration Absorber for a Cantilevered Flexible Structure Carrying an Unbalanced Rotor: Numerical and Experimental Observations

“…Therefore, there are very few studies which models the primary and/or the absorber system as a continuous model for complicated models. Cavacece and Vita [28] have investigated double-ended cantilever beam as a distributed parameter dynamic vibration absorber. However, in their study the primary system has been considered simply as a single degree-of-freedom system which is subjected to harmonic forces and the absorber has been assumed as a cantilever beam without tip masses.…”