Investigating the Optimal Damping Performance of a Composite Dynamic Vibration Absorber with Particle Damping

Background: Damping system is a necessary ingredient of dynamic vibration absorber (DVA) for excellent vibration reduction performance. However, the supernumerary weight deriving from damping system is undesirable in engineering. Improving the damping performance of DVA is an important way to solve the question. Purpose: A composite DVA with particle damper (PD) is proposed for reducing the additional mass of DVA and for improving the vibration control performance in this paper. The additional mass of particle damper as part of tuning mass fights against the vibration of primary system, and the damping effect of PD will be adequately inspired further to boost the damping ingredient of DVAs as a result of the strong resonance of tuning mass. Method: In consideration of the strongly nonlinear of PD and damping effect relative to vibrating velocity at installed PD and the vibration reduction performance tightly relative to tuning rate and damping rate, optimal damping performances and these characteristics parameters of the composite DVA are investigated and optimized. The mathematical models of a composite DVA installed in spring mass systems are implemented using fixed-point theory and H₂ optimization as opposed to viscous damping. Conclusion: The results indicate that vibration reduction performance of the composite DVA significantly outperforms traditional DVA and single PD, and the vibration of primary system can be effectively suppressed using the composite DVA with the optimal parameter from H₂ optimization and especially adopting minimum value.