Matěj Kuře, Adam Peichl, Jaroslav Bušek, Nejat Olgac, Tomáš Vyhlídal
Abstract
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.
Paper: [to be added]
Data: doi.org/10.5281/zenodo.17359234
Spatial tuneability at a single frequency
The spatial tuneability experiment at a fixed excitation frequency (4.20 Hz) clearly demonstrates that the delayed-resonator controller enables selective suppression of vibrations at any chosen mass—collocated or non-collocated—within the chain. By switching the feedback parameters, complete vibration cancellation is sequentially achieved at m1, m2 and m3, confirming experimentally that spatial targeting is fully feasible even with a single absorber.
Spectral tuning at a single position (cart m2)
The spectral tuning tests at cart m2 verify that the delayed-resonator controller can be accurately retuned to suppress vibrations at different excitation frequencies. By adjusting the gain and delay parameters, near-complete cancellation is achieved at 4.2 Hz, 5.0 Hz, and 8.3 Hz, demonstrating robust frequency-dependent tunability at a fixed spatial location.
Related publications
Kuře, M.; Peichl, A.; Bušek, J.; Olgac, N.; Vyhlídal, T. Non-collocated vibration absorption using delayed resonator for spectral and spacial tuning – analysis and experimental validation. In review in Automatica. 2024. http://hdl.handle.net/10467/120141
Kuře, M., 2024. Time-delay algorithms for control of nonlinear flexible systems and robust vibration suppression. PhD Thesis: Defended on 2024-09-18, CTU in Prague, Faculty of Mechanical Engineering, Department of Instrumentation and Control Engineering. Supervised by T. Vyhlidal. http://hdl.handle.net/10467/118181
