Two-modal resonance control with an encapsulated nonlinear energy sink

• Published in: Journal of sound and vibration Vol. 520; p. 116667
• Main Authors: Geng, Xiao-Feng, Ding, Hu
• Format: Journal Article
• Language: English
• Published: Amsterdam Elsevier Ltd 03.03.2022; Elsevier Science Ltd
• Subjects: Broadband; Continuity (mathematics); Damping capacity; Degrees of freedom; Design optimization; Differential evolution algorithm; Dynamic models; Encapsulation; Evolutionary algorithms; Evolutionary computation; Harmonic balance method; Hyperbolic functions; Nonlinear energy sink; Nonlinear equations; Nonlinear systems; Nonlinearity; Piecewise nonlinearity; Resonance; Topological manifolds; Vibration; Vibration analysis; Vibration control; Vibration suppression; Nonlinear energy sink; Vibration suppression; Piecewise nonlinearity; Differential evolution algorithm; Harmonic balance method
• ISSN: 0022-460X; 1095-8568
• DOI: 10.1016/j.jsv.2021.116667

•A encapsulable nonlinear energy sink with viscous and elastic limit is proposed.•The piecewise nonlinear model is accurately fitted and approximately analytically solved.•A multi-objective optimization strategy to control multi-modal resonance is proposed.•The encapsulable nonlinear energy sink is proven to be able to suppress two-resonance modes. Nonlinear energy sink (NES) has received extensive attention as a broadband vibration control strategy. Generally, the vibration of the NES vibrator is unconstrained. Moreover, the vibration suppression is for a single modal resonance. In this paper, an encapsulated NES (E-NES) is proposed to control two resonance modes. Meanwhile, a strategy for optimizing two-resonance mode is also proposed. In practical applications, the vibration of the NES vibrator needs to be limited within a certain range. The vibration of the vibrator of the proposed E-NES is limited by a spring and a damping capacity with a gap. A dynamic model with non-smooth nonlinearity of a two-degree-of-freedom (two-DOF) system coupled with an E-NES is established. The non-smooth model is fitted by a hyperbolic tangent function. Then the continuous nonlinear model is analyzed approximately analytically and simulated numerically. The experimental platform is designed to verify the effectiveness of theoretical research. Moreover, the E-NES parameters are optimized by the differential evolution algorithm. The results show that the optimized design of the E-NES can achieve almost 90% suppression efficiency for both resonance peaks. On the whole, the proposed NES is a promising vibration control strategy due to its lower cost and high efficiency. Moreover, this NES can be accommodated in a box, which presents strong convenience in engineering.