Dynamical Performances of a Vibration Absorber for Continuous Structure considering Time-Delay Coupling

Abstract

The nonlinear effect incurred by time delay in vibration control is investigated in this study via a vibration absorber coupled with a continuous beam structure. The stability of the vibration absorber coupled structure system with time-delay coupling is firstly studied, which provides a general guideline for the potential time delay to be introduced to the system. Then it is shown that there is a specific region for the time delay which can bring bifurcation modes to the dynamic response of the coupling system, and the vibration energy at low frequencies can be transferred or absorbed due to the bifurcation mode and the vibration in the corresponding frequency range is thus suppressed. The nonlinear mechanism of this vibration suppression incurred by the coupling time delay is discussed in detail, which provides a novel and alternative approach to the analysis, design, and control of vibration absorbers in engineering practice.

Experiment and Analysis of Active Vibration Suppression via an Absorber with a Tunable Delay

“…Mohanty and Dwivedy [18] studied the vibration control performance of a piezoelectric-based nonlinear vibration absorber using time-delayed acceleration feedback when the nonlinear primary system is harmonically excited. Sun and Song [19] discussed the timedelayed active control of vibration absorbers attached to a continuous beam structure. It is worth noting that extensive studies on the time-delayed absorber focus on theoretical analysis and numerical simulation.…”