Non-collocated vibration absorption using delayed resonator for spectral and spatial tuning — analysis and experimental validation

Non-collocated vibration absorption (NCVA) using the delayed resonator concept for in-situ tuning is analyzed and experimentally validated. There are two critical contributions of this work. One is on the scalable analytical pathway for verifying the concept of resonant substructure as the basis of the ideal vibration absorption. The second is to experimentally validate the spatial and spectral tunability of NCVA structures for the first time. For both novelties, arbitrarily large dimensions of interconnected mass–spring–damper chains are considered. Following the state of the art on NCVA, control synthesis is performed over the resonant substructure , which entails both the delayed resonator and a part of the primary structure. The experimental validation of the proposed NCVA concept is performed on a mechatronic setup with three interconnected carts. Based on the spectral analysis, excitation frequencies are selected for which stable vibration suppression can be achieved sequentially for all three masses, one collocated and two non-collocated. The experimental results closely match the simulations for complete vibration suppression at the targeted masses, and thus experimentally validating the crucial spatial tunability characteristic as well as the traditional spectral tuning.