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Abstract
This work aims to identify ways to achieve dynamic performances of a novel double-layer vibration isolation system (DL-VIS) capable of achieving multi-directional isolation and extreme environmental adaptability. A forward modeling approach applicable to complex systems has been developed and analyses of nonlinear dynamic characteristics under different working conditions are performed. First, by integrating with constitutive models in terms of individual elastic elements and the connective relationships within the structure, multidirectional constitutive models for isolation devices are established. Further, the decomposition of linear and nonlinear stiffness components in different directions is performed using the Taylor expansion method. Subsequently, the dynamic response under sinusoidal sweep frequency loading is obtained using the related stiffnesses in the dynamic model and adopting the extended harmonic balance method. The effects of stiffness, damping, and a nonlinear stiffness gradient on the DL-VIS response are thoroughly evaluated. Finally, the vibration isolation performance and nonlinear dynamics under different working conditions are examined, and the proposed dynamic model is experimentally validated. The results indicate that the response of DL-VIS varies significantly under different working conditions, particularly under overload conditions. The nonlinear characteristics lead to wide-band instability near the natural frequency and excellent vibration attenuation performance in multiple directions. The theoretical model agrees well with the experimental results in the nonresonant region and near the first resonant peak, which proves the prediction accuracy in the low-frequency range. These findings provide robust theoretical and technical support for the design and performance optimization of isolation systems.
Keywords
double-layer vibration isolation system
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dynamic model
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experimental validation
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harmonic balance method
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nonlinear
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Chao Zheng, Jin Gao, Jianchao Liu, Xin Xue.
Dynamic Performances of a Double-Layer Vibration Isolation System: Nonlinear Modeling and Experimental Validation.
International Journal of Mechanical System Dynamics, 2025, 5(1): 113-128 DOI:10.1002/msd2.12138
| [1] |
J. Xiong, C. Gong, Q. Wu, L. Ma, J. Yang, and L. Wu, “Design, Fabrication, and Dynamic Mechanical Responses of Fiber-Reinforced Composite Lattice Materials,” International Journal of Mechanical System Dynamics 3, no. 3 (2023): 213–228.
|
| [2] |
C. Luyun, Z. Yingying, and Y. Deqing, “Human-Induced Noise Study for Cruise Cabin: Numerical Analysis and Experimental Validation,” Ocean Engineering 286 (2023): 115498.
|
| [3] |
W. Dai, B. Carboni, G. Quaranta, Y. Pan, and W. Lacarbonara, “Nonlinear Response of a Multidirectional Negative-Stiffness Isolation System via Semirecursive Multibody Dynamic Approach,” International Journal of Mechanical System Dynamics 4, no. 3 (2024): 258–277.
|
| [4] |
D. Xu, Q. Yu, J. Zhou, and S. R. Bishop, “Theoretical and Experimental Analyses of a Nonlinear Magnetic Vibration Isolator with Quasi-Zero-Stiffness Characteristic,” Journal of Sound and Vibration 332, no. 14 (2013): 3377–3389.
|
| [5] |
H. L. Sun, K. Zhang, P. Q. Zhang, and H. B. Chen, “Application of Dynamic Vibration Absorbers in Floating Raft System,” Applied Acoustics 71, no. 3 (2010): 250–257.
|
| [6] |
A. Carrella, M. J. Brennan, and T. P. Waters, “Optimization of a Quasi-Zero-Stiffness Isolator,” Journal of Mechanical Science and Technology 21, no. 6 (2007): 946–949.
|
| [7] |
Y. L. Li, D. L. Xu, Y. M. Fu, and J. X. Zhou, “Stability and Chaotification of Vibration Isolation Floating Raft Systems With Time-Delayed Feedback Control,” Chaos: An Interdisciplinary Journal of Nonlinear Science 21, no. 3 (2011): 033115.
|
| [8] |
W. J. Choi, Y. P. Xiong, and R. A. Shenoi, “Power Flow Analysis for a Floating Sandwich Raft Isolation System Using a Higher-Order Theory,” Journal of Sound and Vibration 319, no. 1–2 (2009): 228–246.
|
| [9] |
Y. Li and D. Xu, “Vibration Attenuation of High Dimensional Quasi-Zero Stiffness Floating Raft System,” International Journal of Mechanical Sciences 126 (2017): 186–195.
|
| [10] |
H. L. Wang and H. Ding, “Vibration Reduction of Floating Raft System Based on Nonlinear Energy Sinks,” Ocean Engineering 288 (2023): 116211.
|
| [11] |
Z. Wang and C. M. Mak, “Application of a Movable Active Vibration Control System on a Floating Raft,” Journal of Sound and Vibration 414 (2018): 233–244.
|
| [12] |
X. Wen, W. Li, Y. Fang, C. Song, and J. Zhang, “Design and Vibration Isolation Performance of Truss-Type CFRP Raft Frame,” Shock and Vibration 2019 (2019): 4281958.
|
| [13] |
H. Xiao, C. Xu, R. Wang, P. Yu, J. Zhou, and J. Bai, “A Nonlinear Model and Parameter Identification Method for Rubber Isolators Under Shock Excitation in Underwater Vehicles,” Journal of Marine Science and Engineering 9, no. 11 (2021): 1282.
|
| [14] |
Y. Liu, S. An, L. Wang, et al., “Maneuverability Prediction of Ship Nonlinear Motion Models Based on Parameter Identification and Optimization,” Measurement 236 (2024): 115033.
|
| [15] |
J. X. Xu and H. Hashimoto, “Parameter-Identification Methodologies Based on Variable Structure Control,” International Journal of Control 57, no. 5 (1993): 1207–1220.
|
| [16] |
Z. Fang and C. Geng, “Study on the Dynamic Characteristics and Parameter Identification of Elastic Hydraulic Isolator in Floating Slab Track System,” Journal of Mechanical Science and Technology 38, no. 4 (2024): 1719–1729.
|
| [17] |
T. Wang, L. Feng, L. Zhang, C. Zhang, and Y. Wu, “Dynamic Characteristics of Nonlinear Vibration Isolator for Gas Turbine,” International Journal of Mechanical System Dynamics 4, no. 3 (2024): 374–383.
|
| [18] |
S. Rytömaa, O. Malmi, S. Laine, J. Keinänen, and R. Viitala, “Wire Rope Isolator Identification and Dynamic Modeling for Small Amplitude Vibrations,” Engineering Structures 318 (2024): 118721.
|
| [19] |
H. Han, W. Wang, B. Yu, L. Tang, Y. Wang, and D. Cao, “Integrated Design of Quasi-Zero-Stiffness Vibration Isolators Based on Bifurcation Theory,” Aerospace Science and Technology 146 (2024): 108940.
|
| [20] |
P. Yang, H. Bai, X. Xue, K. Xiao, and X. Zhao, “Vibration Reliability Characterization and Damping Capability of Annular Periodic Metal Rubber in the Non-Molding Direction,” Mechanical Systems and Signal Processing 132 (2019): 622–639.
|
| [21] |
X. Xue, C. Zheng, F. Lai, and X. Wu, “Mechanical Property of Cylindrical Sandwich Shell With Gradient Core of Entangled Wire Mesh,” Defence Technology 31 (2024): 510–522.
|
| [22] |
C. Zhou, Z. Ren, Y. Lin, et al., “Hysteresis Dynamic Model of Metal Rubber Based on Higher-Order Nonlinear Friction (HNF),” Mechanical Systems and Signal Processing 189 (2023): 110117.
|
| [23] |
X. Shi, H. Zhou, C. Zhou, Z. Guo, and Z. Ren, “Design and Mechanical Properties of Metal Rubber Secondary Multidirectional Vibration Isolation System Under Random Vibration,” Nonlinear Dynamics 112, no. 17 (2024): 14805–14828.
|
| [24] |
C. Zhou, Z. Ren, Z. Huang, et al., “Damage Hysteresis Dynamic Model of Tangled Metal Wire Based on Higher-Order Dry Friction (HDF),” Mechanical Systems and Signal Processing 208 (2024): 111073.
|
| [25] |
N. D. Duc, J. Lee, T. Nguyen-Thoi, and P. T. Thang, “Static Response and Free Vibration of Functionally Graded Carbon Nanotube-Reinforced Composite Rectangular Plates Resting on Winkler-Pasternak Elastic Foundations,” Aerospace Science and Technology 68 (2017): 391–402.
|
| [26] |
K. B. Mustapha and Z. W. Zhong, “Spectral Element Analysis of a Non-Classical Model of a Spinning Micro Beam Embedded in an Elastic Medium,” Mechanism and Machine Theory 53 (2012): 66–85.
|
| [27] |
S. Ma, G. He, K. Yan, W. Li, Y. Zhu, and J. Hong, “Structural Optimization of Ball Bearings With Three-Point Contact at High-Speed,” International Journal of Mechanical Sciences 229 (2022): 107494.
|
| [28] |
C. Zheng, J. Wu, J. Liu, and X. Xue, “Hysteresis Dynamic Modeling of 4-SPS Parallel All-Metallic Isolator With Spherical Joints Considering Nonlinear Micro-Collision and Interfacial Friction,” Journal of Sound and Vibration 596 (2025): 118778.
|
| [29] |
K. L. Johnson, Contact Mechanics (Cambridge University Press, 1985).
|
| [30] |
Y. Ma, S. Li, T. Su, Z. Yang, Z. Mao, and Q. Yuan, “Influence of Fractal-Based Contact Friction Coefficient on the Stiffness of Disc Springs: Experimental and Numerical Studies,” Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 238, no. 18 (2024): 9187–9199.
|
| [31] |
C. Zheng, J. Wu, M. Zhang, and X. Xue, “Impact Response and Energy Absorption of Metallic Buffer With Entangled Wire Mesh Damper,” Defence Technology 35 (2024): 137–150.
|
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2024 The Author(s). International Journal of Mechanical System Dynamics published by John Wiley & Sons Australia, Ltd on behalf of Nanjing University of Science and Technology.