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Performance analysis and optimization of bimodal nonlinear energy sink

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Abstract

Nonlinear energy sink (NES) is a typical representative of emerging vibration control devices in recent years. With the increasing performance requirements of vibration suppression equipment for precision instruments and structural safety, it is necessary to research efficient and stable nonlinear energy sinks. A novel NES with inerter and grounded stiffness (IG-NES) is presented to address three key problems, i.e., the performance degradation caused by the high-branch response, the underutilization of the two-terminal inertia feature of the inerter, and the unknown damping effect of the combined structure of inerter and grounded stiffness. The amplitude–frequency response equation of the primary system is obtained by the harmonic balance method, and its parametric effects are analyzed. According to the H∞ optimization criterion, the multi-objective grey wolf algorithm is used to obtain the optimal system parameters. This model can be simplified to obtain the cubic stiffness NES, and the feasibility of eliminating the high-branch response by parameter optimization without changing its structure is explored. The results show that the IG-NES system has rich dynamic characteristics. Relying on parameter optimization, the high-branch response of the cubic stiffness NES can be eliminated. The damping effect and response mechanism under various excitations are different. The vibration suppression capability of IG-NES under different mass ratios and excitation amplitude ratios is significant. The vibration attenuation efficiency can reach more than 99%, and the displacement transmissibility of the primary system can reach below zero. The high-branch response is also eliminated. Stable solutions are available in the whole-frequency band. Moreover, it has certain robustness in its parameters. The amplitude–frequency curves of some optimal performance cases have double peaks with almost equal height, where the frequency ratio of the left peak is zero, similar to the grounded linear dynamic vibration absorber (DVA). The damping effect and bandwidth are superior to the basic NES, DVA, and equivalently improved DVA. This model can be applied to large and precise equipment, and its performance can be further enhanced in the future by new structures or devices.

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Data availability

The datasets generated during the current study are available from the corresponding author on reasonable request.

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Funding

The authors are grateful to the support by National Natural Science Foundation of China (U1934201 and 12272242), Project for Postgraduate Innovation Ability Training Subsidy of Hebei Province Education Department (CXZZSS2022108).

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Authors and Affiliations

  1. Department of Mechanical Engineering, Shijiazhuang Tiedao University, Shijiazhuang, 050043, China

    Yongjun Shen & Peng Sui

  2. State Key Laboratory of Mechanical Behavior and System Safety of Traffic Engineering Structures, Shijiazhuang Tiedao University, Shijiazhuang, 050043, China

    Yongjun Shen

  3. Hebei Vocational College of Rail Transportation, Shijiazhuang, 050021, China

    Xiaona Wang

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Shen, Y., Sui, P. & Wang, X. Performance analysis and optimization of bimodal nonlinear energy sink. Nonlinear Dyn 111, 16813–16830 (2023). https://doi.org/10.1007/s11071-023-08737-8

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