Vibration control of curved beams by dynamic absorbing curved beams

In this paper, A new beam-type dynamic vibration absorber for controlling the several predominant modes of vibrations of a curved beam (main curved beam) under harmonic excitation, which consists of a curved beam (dynamic absorbing curved beam) under the same boundary condition as the main curved beam and with uniformly distributed connecting springs and dampers between the main and dynamic absorbing curved beams. Equations of motions of the system in modal coordinates of the main curved beam become equal to those of the two-degrees-of-freedom system with two masses and three springs. Formulas for optimum design of the beam-type dynamic vibration absorber are presented using the optimum tuning method of a dynamic absorber in two-degrees-of-freedom system, obtained by the Den Hartog method. Moreover, for pratical problems, an approximate tuning method of the beam-type dynamic absorbers with several sets of concentrated connecting springs and dampers is also presented. The numerical calculations demonstrate the effectiveness of the beam-type dynamic absorber.