Optimization of a variant design of dynamic vibration absorber for suppressing random vibration in beams

An effective way to suppressing vibration in mechanical and civil structures is using a passively dynamic vibration absorber (DVA). Arrangement of mass, spring and damper besides frequency and damping ratios of DVA play an important role in the performance of the absorbers, i.e., use of damping element between absorber mass and primary mass suppresses vibration of single-degree-of-freedom (sdof) systems better than traditional DVA which reported in literature but according to author’s knowledge it has not been analyzed for continues structures yet. In this article, the derivation of solution to H۲ and Hinfinity optimization problems of this non-traditional DVA applied to suppress random vibration in beam structures will be reported analytically, as well as, a set of optimum frequency and damping ratios of absorbers for both optimization procedures. Effectiveness of using the non-traditional DVA in improving vibration suppression performance in comparison to traditional one will be shown by use of numerical results.Furthermore, comparing H-infinity and H۲ optimization procedures shows that for a beam which is excited by random force, use of H۲ optimization resulting in better vibration suppression than the other optimization.

کلیدواژه ها:

Dynamic Vibration Absorber ، Random Vibration ، Passive Control ، Beam Structures