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学者姓名：杨晓东
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Abstract ：
PurposeThis paper explores the vibration control performance of a combined vibration isolation (CVI) system, which integrates a quasi-zero stiffness (QZS) system with a bistable nonlinear energy sink (BNES).MethodsThe dynamic equations of the CVI system are first established, and the stability of the BNES equilibrium point is analyzed. Using the harmonic balance method coupled with the arc-length continuation method, the amplitude-frequency response and force transmissibility of the system are derived, and these analytical results are validated through numerical simulations.ResultsThe effectiveness of the CVI system's vibration control is then assessed in terms of vibration amplitude, force transmissibility, and energy dissipation. Finally, the impacts of parameters such as stiffness, damping, mass ratio, and external excitation amplitude on the system's vibration control performance are analyzed and compared with those of a conventional CVI system coupled with NES.ConclusionThe findings reveal that the proposed CVI system with BNES can significantly reduce peak amplitudes and broaden the vibration isolation frequency range. This system's mechanism provides a valuable reference for enhancing the vibration control capabilities of QZS systems.
Keyword ：
Quasi-zero stiffness Quasi-zero stiffness Nonlinear system Nonlinear system Combined vibration control Combined vibration control Harmonic balance method Harmonic balance method Bistable NES Bistable NES
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| GB/T 7714 | Chen, Peng , Yang, Ji-Hou , Lv, Ning et al. A Combined Vibration Isolation System with Quasi-Zero Stiffness and Bistable Nonlinear Energy Sink [J]. | JOURNAL OF VIBRATION ENGINEERING & TECHNOLOGIES , 2025 , 13 (3) . |
| MLA | Chen, Peng et al. "A Combined Vibration Isolation System with Quasi-Zero Stiffness and Bistable Nonlinear Energy Sink" . | JOURNAL OF VIBRATION ENGINEERING & TECHNOLOGIES 13 . 3 (2025) . |
| APA | Chen, Peng , Yang, Ji-Hou , Lv, Ning , Yang, Xiao-Dong . A Combined Vibration Isolation System with Quasi-Zero Stiffness and Bistable Nonlinear Energy Sink . | JOURNAL OF VIBRATION ENGINEERING & TECHNOLOGIES , 2025 , 13 (3) . |
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Abstract ：
Flat bands have empowered novel phenomena such as robust canalization with strong localization, high-collimation and low-loss propagation. However, the spatial symmetry protection in photonic or acoustic lattices naturally forces flat bands to manifest in pairs aligned at an inherently specific angle, resulting in a fixed bidirectional canalization. Here, we report an acoustic flat-band metasurface, allowing not only unidirectional canalization at all in-plane angles but also robust tunability in band alignment. The twist, tilt, and skew angles of the bilayer metasurface can be flexibly controlled to break both in-plane and out-of-plane spatial symmetries. These features can thereby turn arbitrary twist angles between bilayers into 'magic angles', while maintaining all unidirectional canalization and band alignment tunability. This work may significantly contribute to pushing twisted moir & eacute; physics into higher dimensions and facilitate the application of advanced acoustic or optical devices.
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| GB/T 7714 | Han, Chenglin , Fan, Shida , Zhou, Hong-Tao et al. All-angle unidirectional flat-band acoustic metasurfaces [J]. | NATURE COMMUNICATIONS , 2025 , 16 (1) . |
| MLA | Han, Chenglin et al. "All-angle unidirectional flat-band acoustic metasurfaces" . | NATURE COMMUNICATIONS 16 . 1 (2025) . |
| APA | Han, Chenglin , Fan, Shida , Zhou, Hong-Tao , He, Kuan , Jia, Yurou , Li, Changyou et al. All-angle unidirectional flat-band acoustic metasurfaces . | NATURE COMMUNICATIONS , 2025 , 16 (1) . |
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Abstract ：
This paper investigates the dynamics of a novel bistable 2-DOF coupled oscillator with nonlinear damping. The system is based on a conventional bistable nonlinear energy sink (NES), with nonlinear damping introduced to enhance the vibration absorption efficiency and reduce the threshold for a strongly modulated response (SMR). Initially, the slow invariant manifold (SIM) of the system is derived using complexification-averaging and multiple scales methods. The characteristics of saddle-node (SN) bifurcation and Hopf bifurcation at the periodic fixed point are then analyzed, identifying the ranges of stiffness, damping, and other parameters that influence the SMR. Subsequently, the SIM is examined in detail across different timescales, and the amplitude thresholds of external excitation that trigger SMR are derived. Finally, the system's maximum amplitude is optimized to reduce it while ensuring the generation of SMR. A numerical analysis of the energy spectrum near the resonance frequency is also conducted to compare the vibration suppression efficiency between the conventional NES and the bistable NES with nonlinear damping. The results demonstrate that the bistable NES with nonlinear damping effectively lowers the external excitation threshold for SMR, offering a wider threshold range and higher vibration suppression efficiency. Key parameters such as the mass ratio, linear and nonlinear stiffness, and nonlinear damping significantly influence the occurrence of SMR.
Keyword ：
Complexification-averaging method Complexification-averaging method Bistable NES Bistable NES Slow invariant manifold Slow invariant manifold bifurcation analysis bifurcation analysis Excitation threshold Excitation threshold Strongly modulated response Strongly modulated response
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| GB/T 7714 | Chen, Peng , Yang, Xiao-Dong . Dynamics analysis of a bistable 2-DOF coupled oscillator with nonlinear damping [J]. | INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS , 2025 , 171 . |
| MLA | Chen, Peng et al. "Dynamics analysis of a bistable 2-DOF coupled oscillator with nonlinear damping" . | INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS 171 (2025) . |
| APA | Chen, Peng , Yang, Xiao-Dong . Dynamics analysis of a bistable 2-DOF coupled oscillator with nonlinear damping . | INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS , 2025 , 171 . |
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Abstract ：
Under varying excitation amplitudes, the bistable nonlinear energy sink (NES) exhibits five distinct response mechanisms: intra-well periodic oscillation, inter-well chaotic oscillation, weakly modulated response (WMR), strongly modulated response (SMR), and inter-well periodic oscillation. Among these, SMR is recognized for achieving the highest vibration absorption efficiency. This paper presents a bistable track NES (BTNES) with nonlinear damping, designed to significantly lower the energy threshold required for SMR, enabling their generation at lower excitation levels and thereby enhancing vibration absorption efficiency. Firstly, the slow invariant manifold (SIM) of the system is derived using the complexification-averaging and multiple scales methods. Based on this analysis, the advantages of the proposed BTNES in terms of energy transfer and response mechanisms are evaluated. Subsequently, global bifurcations, including saddle-node (SN) bifurcations with periodic fixed points and Hopf bifurcations, are analyzed to determine the ranges of stiffness, damping, and other parameters influencing SMR behavior. Finally, the external excitation threshold range for SMR is derived, and the effects of stiffness, damping, and additional parameters on SMR thresholds are systematically investigated, culminating in an optimal parameter design. The findings demonstrate that the BTNES effectively shortens the threshold ranges for intra-well periodic oscillation and inter-well chaotic oscillation, significantly reduces the energy threshold for triggering SMR, and broadens the range of external excitation thresholds required for SMR generation. These results highlight the BTNES's potential for enhanced vibration absorption and improved system performance.
Keyword ：
Strongly modulated response Strongly modulated response Bifurcation analysis Bifurcation analysis Nonlinear system Nonlinear system Track nonlinear energy sink Track nonlinear energy sink Slow invariant manifold Slow invariant manifold Bistable NES Bistable NES
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| GB/T 7714 | Chen, Peng , Yang, Ji-Hou , Lv, Ning et al. Nonlinear dynamic characteristics of a bistable track nonlinear energy sink with nonlinear damping [J]. | NONLINEAR DYNAMICS , 2025 . |
| MLA | Chen, Peng et al. "Nonlinear dynamic characteristics of a bistable track nonlinear energy sink with nonlinear damping" . | NONLINEAR DYNAMICS (2025) . |
| APA | Chen, Peng , Yang, Ji-Hou , Lv, Ning , Yang, Xiao-Dong . Nonlinear dynamic characteristics of a bistable track nonlinear energy sink with nonlinear damping . | NONLINEAR DYNAMICS , 2025 . |
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Abstract ：
Fundamental frequency vibrations generated by aero-engines can propagate through joint structures to the airframe, potentially causing significant damage to precision instruments and electronic equipment. This paper innovatively integrates the spiral resonant system (elastic wave manipulation capability) into the Hierarchical Diamond Honeycomb with Variable wall Thickness (HDH-VT) structure (lightweight and high-strength mechanical properties), designing a Locally Resonant Metamaterials- Bolted Joints (LRMs-BJ) to suppress the transmission of harmful vibrations from aero-engines to the airframe. First, an equivalent model of the spiral resonant system is developed, with a detailed analysis of the vibration reduction mechanism of the flexural wave bandgap and its tuning capabilities. Second, the vibration reduction characteristics of LRMs-BJs are investigated through finite element simulations and experiments, and the effects of various joint conditions on the vibration reduction frequency band of LRMs-BJs are analyzed. The results demonstrate that the spiral resonant system can produce bandgaps within the target frequency range, and modifying the structural parameters of the spiral elastic beam enables flexible low-frequency tuning of the bandgap. The LRMs-BJ exhibits significant vibration control within the vibration reduction frequency range. The effects of lap length, bolt arrangement direction, and preload on the position and width of the vibration reduction band are minimal, closely aligning with the bandgap of the spiral resonant system unit cell. The proposed LRMs-BJ is a multifunctional integration of metamaterials and honeycomb structures, broadening the application potential of metamaterials in vibration reduction for bolted joints.
Keyword ：
Joints Joints Metamaterials Metamaterials Honeycomb Honeycomb Locally resonant Locally resonant Spiral elastic beam Spiral elastic beam Vibration reduction Vibration reduction
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| GB/T 7714 | Shen, Min-Min , Yang, Ji-Hou , Yang, Dong-Shuo et al. Vibration control in bolted joints with locally resonant metamaterials [J]. | INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES , 2025 , 287 . |
| MLA | Shen, Min-Min et al. "Vibration control in bolted joints with locally resonant metamaterials" . | INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES 287 (2025) . |
| APA | Shen, Min-Min , Yang, Ji-Hou , Yang, Dong-Shuo , Yang, Xiao-Dong , Qian, Ying-Jing . Vibration control in bolted joints with locally resonant metamaterials . | INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES , 2025 , 287 . |
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Abstract ：
Compared to the two-stage linear vibration isolator (TLVI), the two-stage quasi-zero stiffness (TQZS) system offers superior vibration isolation performance, making it a promising candidate for vibration isolation of precision instrument. However, the TQZS system exhibits a significant vibration amplitude due to its low dynamic stiffness. In this paper, a coupled (TQZS-UDVA) system consisting of a TQZS system and a dynamic vibration absorber (DVA) attached to the upper stage of the TQZS system is presented. The harmonic balance method is employed to obtain approximate analytical solution. The effects of system parameters on dynamic behavior and isolation performance are studied in detail. Five performance indexes are proposed, and based on these indexes, the damping and tuning stiffness of DVA are optimized. The results indicate that the integration of DVA effectively mitigates the vibration amplitude and extends the isolation frequency band, without compromising high-frequency performance.
Keyword ：
Two-stage nonlinear vibration isolation Two-stage nonlinear vibration isolation Parameter optimization Parameter optimization Dynamic vibration absorber Dynamic vibration absorber Quasi-zero stiffness Quasi-zero stiffness
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| GB/T 7714 | Xing, Zhao-Yang , Yang, Xiao-Dong . Parameter optimization of a two-stage quasi-zero-stiffness system with linear dynamic vibration absorber [J]. | NONLINEAR DYNAMICS , 2024 , 112 (14) : 11887-11907 . |
| MLA | Xing, Zhao-Yang et al. "Parameter optimization of a two-stage quasi-zero-stiffness system with linear dynamic vibration absorber" . | NONLINEAR DYNAMICS 112 . 14 (2024) : 11887-11907 . |
| APA | Xing, Zhao-Yang , Yang, Xiao-Dong . Parameter optimization of a two-stage quasi-zero-stiffness system with linear dynamic vibration absorber . | NONLINEAR DYNAMICS , 2024 , 112 (14) , 11887-11907 . |
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Abstract ：
Based on the different body configurations caused by varying head-to-tail distances exhibited by crawling inchworms during locomotion, this paper proposes a crawling-inchworm-type self-tuned dynamic vibration absorber (DVA) based on silicone gel materials for reducing low-frequency vibration. The proposed DVA was designed and developed by employing a magnetic hanging design with movable features, a span adjustment design with an embedded stepper motor, and a real-time control design using a microcontroller. First, a finite element simulation model was established to analyze the main structure of the self-tuned DVA using the finite element method. The frequency-shifting characteristics of the absorber were obtained by identifying the actuating modes that are sensitive to the hanging span. Second, based on the frequency-shifting characteristics of the self-tuned DVA, an absorber control system was designed by introducing a short-time Fourier transform and PID algorithm to achieve autonomous frequency adjustment of the DVA. Finally, the self-tuned absorption effects of the prototype self-tuned DVA were tested through a series of experiments, which confirmed its excellent self-tuned vibration absorption capability within the low-frequency range.
Keyword ：
crawling-inchworm-type dynamic vibration absorber crawling-inchworm-type dynamic vibration absorber silicone gel silicone gel vibration reduction vibration reduction self-tuned control self-tuned control variable stiffness variable stiffness
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| GB/T 7714 | Yang, Ji-Hou , Chen, De-Hai , Yang, Xiao-Dong . Design and experiment of a crawling-inchworm-type self-tuned dynamic vibration absorber based on silicone gel materials [J]. | JOURNAL OF VIBRATION AND CONTROL , 2024 . |
| MLA | Yang, Ji-Hou et al. "Design and experiment of a crawling-inchworm-type self-tuned dynamic vibration absorber based on silicone gel materials" . | JOURNAL OF VIBRATION AND CONTROL (2024) . |
| APA | Yang, Ji-Hou , Chen, De-Hai , Yang, Xiao-Dong . Design and experiment of a crawling-inchworm-type self-tuned dynamic vibration absorber based on silicone gel materials . | JOURNAL OF VIBRATION AND CONTROL , 2024 . |
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Abstract ：
Gyroscopic metamaterials integrate rotational units within periodic structures, enabling precise manipulation of mechanical waves and exhibiting programmable material properties. This study delves into the polarization characteristics of one-dimensional (1D) chains and two-dimensional (2D) networks of gyroscopic metamaterials, highlighting the ability to modulate the dispersion band structure through rotational elements. By leveraging dynamic tunability, we effectively tune the band gaps for polarized waves across a broad frequency range. Through wave polarization, we discover a Faraday-like rotation effect in linearly polarized mechanical waves. By adjusting the input frequency or the spin speed, the manipulation of the polarization plane and the polarization state can be achieved, effectively replicating the phenomena of an optical model in a mechanical system. We confirm that 2D rectangular and triangular unit-cell gyroscopic metamaterials can serve as tunable filtering and tunable polarizing components, respectively. Additionally, we utilize circularly polarized waves to achieve selective excitation, enabling waves at the same frequency to exhibit diverse propagation patterns. Experimental validation in 1D systems confirms the capability of manipulating wave propagation through the generated polarization. Our research establishes a framework for exploring gyroscopic metamaterials' capabilities in wave manipulation, fostering innovation in signal processing technologies.
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| GB/T 7714 | Qian, Ying-Jing , Wang, Yi-Bo , Yang, Xiao-Dong et al. Manipulation of circular polarization and mechanical waves in gyroscopic metamaterials [J]. | PHYSICAL REVIEW APPLIED , 2024 , 22 (5) . |
| MLA | Qian, Ying-Jing et al. "Manipulation of circular polarization and mechanical waves in gyroscopic metamaterials" . | PHYSICAL REVIEW APPLIED 22 . 5 (2024) . |
| APA | Qian, Ying-Jing , Wang, Yi-Bo , Yang, Xiao-Dong , Wang, Jiao , Yan, Yin-Zhou . Manipulation of circular polarization and mechanical waves in gyroscopic metamaterials . | PHYSICAL REVIEW APPLIED , 2024 , 22 (5) . |
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Abstract ：
A multi-degree-of-freedom device is proposed, which can achieve efficient vibration reduction as the main objective and energy harvesting as the secondary purpose. The device comprises a multiscale nonlinear vibration absorber (NVA) and piezoelectric components. Energy conversion and energy measurement methods are used to evaluate the device performance from multiple perspectives. Research has shown that this device can efficiently transfer transient energy from the main structure and convert a portion of transient energy into electrical energy. Main resonance and higher-order resonance are the main reasons for efficient energy transfer. The device can maintain high vibration reduction performance even when the excitation amplitude changes over a large range. Compared with the single structures with and without precompression, the multiscale NVA-piezoelectric device offers significant vibration reduction advantages. In addition, there are significant differences in the parameter settings of the two substructures for vibration reduction and energy harvesting.
Keyword ：
transient vibration transient vibration energy principle energy principle integrated device integrated device nonlinear vibration reduction nonlinear vibration reduction O327 O327 energy harvesting energy harvesting
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| GB/T 7714 | Yang, Jihou , Zhang, Weixing , Yang, Xiaodong . Integrated device for multiscale series vibration reduction and energy harvesting [J]. | APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION , 2023 , 44 (12) : 2227-2242 . |
| MLA | Yang, Jihou et al. "Integrated device for multiscale series vibration reduction and energy harvesting" . | APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION 44 . 12 (2023) : 2227-2242 . |
| APA | Yang, Jihou , Zhang, Weixing , Yang, Xiaodong . Integrated device for multiscale series vibration reduction and energy harvesting . | APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION , 2023 , 44 (12) , 2227-2242 . |
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Abstract ：
The quasi-zero stiffness (QZS) system, as a typical high-static-low-dynamic-stiffness (HSLDS) system, is able to realize low frequency vibration isolation by introducing nonlinear negative stiffness. However, the nonlinearity of the system may result in a serious deterioration of the isolation performance under large amplitude excitation. In this paper, an inerter-based combined vibration isolation (IBCVI) system is proposed to overcome this problem. The IBCVI system consists of a QZS system and an inerter-based linear dynamic vibration absorber (IBDVA). The harmonic balance method is employed to obtain amplitude-frequency response of the IBCVI system, and the mechanism of IBDVA on vibration isolation system is revealed. Then the effects of system parameters on control performance are studied in detail. The results of the comparison with other models show that the presented model performs smaller vibration amplitude and wider isolation frequency band. This research provides a new insight into vibration isolation under large amplitude excitation from the perspective of vibration absorption.
Keyword ：
Dynamic vibration absorber Dynamic vibration absorber Quasi-zero stiffness Quasi-zero stiffness Nonlinear vibration isolation Nonlinear vibration isolation Inerter Inerter
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| GB/T 7714 | Xing, Zhao-Yang , Yang, Xiao-Dong . A combined vibration isolation system capable of isolating large amplitude excitation [J]. | NONLINEAR DYNAMICS , 2023 , 112 (4) : 2523-2544 . |
| MLA | Xing, Zhao-Yang et al. "A combined vibration isolation system capable of isolating large amplitude excitation" . | NONLINEAR DYNAMICS 112 . 4 (2023) : 2523-2544 . |
| APA | Xing, Zhao-Yang , Yang, Xiao-Dong . A combined vibration isolation system capable of isolating large amplitude excitation . | NONLINEAR DYNAMICS , 2023 , 112 (4) , 2523-2544 . |
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