Dynamic characteristics of a series-parallel-II inertial nonlinear energy sink for vibration control

Ziying Wu
Department of Mechancial Design, Xi’an University of Technology, Xi’an 710048, China
Rongxian Zhu
Department of Mechancial Design, Xi’an University of Technology, Xi’an 710048, China
Yuanzhi Wang
Department of Mechancial Design, Xi’an University of Technology, Xi’an 710048, China
Xi Guo
Department of Mechancial Design, Xi’an University of Technology, Xi’an 710048, China
Jiyu Yan
Department of Mechancial Design, Xi’an University of Technology, Xi’an 710048, China
Zizheng Wang
Department of Mechancial Design, Xi’an University of Technology, Xi’an 710048, China

Article ID: 4418

Keywords: SPII-I-NES; nonlinear damping; vibration suppression; stochastic jump; harmonic balance method (HBM) + ALM

Abstract

This paper proposes a novel series-parallel-II inertial nonlinear energy sink (SPII-I-NES) integrated with Coulomb friction. The governing equations of motion are formulated for the primary system coupled with the SPII-I-NES under both harmonic excitation and Gaussian white noise. By combining the harmonic balance method with the arc-length continuation method (ALM), quasi-analytical amplitude response solutions are derived for the primary structure and the SPII-I-NES under harmonic excitation. Numerical simulations demonstrate that the SPII-I-NES exhibits significantly superior vibration-suppression performance compared to the NES and linear series-parallel-II inerter configurations. Furthermore, the equivalent additional mass introduced by the SPII-I-NES is smaller than that of both the NES and the linear series-parallel-II inerter. The influence of key parameters on the dynamic responses of the primary system and SPII-I-NES is systematically investigated, including nonlinear stiffness coefficients, nonlinear damping ratios, and friction force. Results indicate that, compared to nonlinear damping ratios and friction forces, the nonlinear stiffness coefficients of the SPII-I-NES play a more dominant role in inducing strong nonlinear behaviors in both systems. Notably, when nonlinear Coulomb friction is considered, the primary system may exhibit quasi-periodic or chaotic vibration patterns. Under Gaussian white noise excitation, stochastic jumps or bifurcations are observed in both the primary system and the SPII-I-NES, highlighting the complex dynamic interactions introduced by this configuration.

Published

2026-07-28

How to Cite

Wu, Z., Zhu, R., Wang, Y., Guo, X., Yan, J., & Wang, Z. (2026). Dynamic characteristics of a series-parallel-II inertial nonlinear energy sink for vibration control. Sound & Vibration, 60(5). https://doi.org/10.59400/sv4418

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Vol. 60 No. 5 (2026): In Progress

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Article

This work is licensed under a Creative Commons Attribution 4.0 International License.

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