Vibration suppression of a piecewise stiffness nonlinear energy sink system with grounded damping

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Journal of Vibration and Shock ›› 2025, Vol. 44 ›› Issue (6) : 47-57.

VIBRATION THEORY AND INTERDISCIPLINARY RESEARCH

Vibration suppression of a piecewise stiffness nonlinear energy sink system with grounded damping

YANG Zijian1，WANG Jun*1,2，ZHANG Jianchao2，WEN Shaofang2

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Abstract

Nonlinear energy sink (NES) systems primarily dissipate energy through damping elements, and altering the location of the damping components significantly influences the performance of the systems. In this study, a novel piecewise stiffness NES with grounded damping is proposed, and the dynamic characteristics of the system are systematically investigated. Firstly, based on the complexification-averaging method and the method of multiple scales, the slow-flow equations of the system under 1:1 resonance are derived. Secondly, the effects of different parameters on the system's slow invariant manifold were analyzed. Subsequently, the occurrence of strongly modulated response (SMR) was determined by analyzing the topology of the slow invariant manifold. Finally, the effects of different positions of the grounded damping on the vibration suppression performance of the system under various pulse and harmonic excitations were studied, and comparisons were made with the case of no grounded damping. Additionally, the system parameters are optimized by the nutcracker optimization algorithm. The results indicate that introducing grounded damping into the piecewise stiffness NES can effectively improve the system's vibration suppression performance. The damper attached to the primary system and grounded is suitable for cases requiring high vibration reduction but lower demands on dissipation time, while the damper attached to the additional mass and grounded is suitable for scenarios where rapid dissipation of the primary system's energy to a lower level is required.

Key words

grounded damping / vibration suppression / complexification-averaging method / strongly modulated response / parameter optimization

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YANG Zijian1, WANG Jun1, 2, ZHANG Jianchao2, WEN Shaofang2. Vibration suppression of a piecewise stiffness nonlinear energy sink system with grounded damping[J]. Journal of Vibration and Shock, 2025, 44(6): 47-57

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