NES cell

• Published in: Applied mathematics and mechanics Vol. 43; no. 12; pp. 1793 - 1804
• Main Authors: Ding, Hu, Shao, Yufei
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.12.2022; Springer Nature B.V
• Edition: English ed.
• Subjects: Adaptive control; Applications of Mathematics; Broadband; Classical Mechanics; Component reliability; Elastic beams; Elastic limit; Energy transfer; Fluid- and Aerodynamics; Lightweight; Mathematical Modeling and Industrial Mathematics; Mathematics; Mathematics and Statistics; Partial Differential Equations; Reliability engineering; Stiffness; Versatility; Vibration control; Vibration damping; O322; clamped beam; 74K30; 34A34; nonlinear energy sink (NES); NES cell; harmonic balance method (HBM); vibration; vibration control; harmonic balance method(HBM); nonlinear energy sink(NES)
• ISSN: 0253-4827; 1573-2754
• DOI: 10.1007/s10483-022-2934-6

A broadband adaptive vibration control strategy with high reliability and flexible versatility is proposed. The high vibration damping performance of nonlinear energy sink (NES) has attracted attention. However, targeted energy transfer may cause severe vibration of NES. Besides, it is difficult to realize pure nonlinear stiffness without the linear part. As a result, the reliability of NES is not high. The low reliability of NES has hindered its application in engineering. In addition, the performance of NES depends on its mass ratio of the primary system, and NES lacks versatility for different vibration systems. Therefore, this paper proposes the concept of NES cell. The advantages of the adaptive vibration control of NES are applied to cellular NES. By applying a large number of NES cells in parallel, the reliability of NES and its versatility to complex vibration structures are improved. An elastic beam is used as the primary vibration structure, and a limited NES is used as the cell. The relationship between the vibration suppression effect of NES cells and the number of NES cell is studied. In addition, the effect of the distribution of NES cells on the multi-mode resonance suppression of the beam is also studied. In summary, the mode of the primary structure can be efficiently controlled by a large number of lightweight NES cell. Therefore, the lightweight NES cell is flexible for vibration control of complex structures. In addition, it improves the reliability of NES applications. Therefore, the distributed application of NES cells proposed in this paper is a valuable vibration suppression strategy.