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Energy transfer and dissipation studies of coupled piecewise linear stiffness NES system
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Yunhao ZHANG1, Jun WANG1, 2, Yongjun SHEN1, 2, Jianchao ZHANG2
Journal of Vibration Engineering | 2025, 38(3) : 480 - 489
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Journal of Vibration Engineering | 2025, 38(3): 480-489
Energy transfer and dissipation studies of coupled piecewise linear stiffness NES system
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Yunhao ZHANG1, Jun WANG1, 2, Yongjun SHEN1, 2, Jianchao ZHANG2
Affiliations
  • 1.School of Mechanical Engineering，Shijiazhuang Tiedao University，Shijiazhuang 050043，China
  • 2.State Key Laboratory of Mechanical Behavior and System Safety of Traffic Engineering Structures，Shijiazhuang Tiedao University，Shijiazhuang 050043，China
Published: 2025-03-10 doi: 10.16385/j.cnki.issn.1004-4523.2025.03.004
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The energy transfer efficiency and energy dissipation of coupled piecewise linear stiffness energy sink are studied. The equation of systematic slow-varying equations of the two-degree-of-freedom system coupled with the piecewise linear stiffness energy is derived by the complex variable-averaging method under 1∶1 internal resonance. The approximate expression of two extreme points of the slow-invariant manifold is obtained by using the polynomial approximation method，and the energy transfer efficiency equation and energy dissipation equation of the coupled piecewise linear stiffness energy sink system are obtained. The effects of piecewise gap and piecewise linear stiffness on energy transfer efficiency and the relationship between damping coefficient of the main structure and dissipation time are analyzed. The results indicate that the energy transfer efficiency of the system decreases as the piecewise gap of the coupled piecewise linear stiffness energy sink increases，while it increases with an increase of piecewise stiffness. Additionally，it decreases with an increase of the damping system of the main structure. Therefore，adjusting structural parameters，the piecewise linear stiffness energy sink can effectively mitigate vibrations within the main structure.

nonlinear vibration  /  nonlinear energy sink  /  complex-averaging method  /  piecewise linear stiffness
Yunhao ZHANG, Jun WANG, Yongjun SHEN, Jianchao ZHANG. Energy transfer and dissipation studies of coupled piecewise linear stiffness NES system[J]. Journal of Vibration Engineering, 2025 , 38 (3) : 480 -489 . DOI: 10.16385/j.cnki.issn.1004-4523.2025.03.004
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Article Info
doi: 10.16385/j.cnki.issn.1004-4523.2025.03.004
  • Receive Date：2023-03-08
  • Online Date：2026-02-11
  • Published：2025-03-10
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  • Received：2023-03-08
  • Revised：2023-08-16
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Affiliations
    1.School of Mechanical Engineering，Shijiazhuang Tiedao University，Shijiazhuang 050043，China
    2.State Key Laboratory of Mechanical Behavior and System Safety of Traffic Engineering Structures，Shijiazhuang Tiedao University，Shijiazhuang 050043，China
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表12种不同金属材料的力学参数
科
Family		 属数
Number of
genus		 种数
Number of
species		 占总种数比例
Percentage of
total species (%)		 属
Genus		 种数
Number of
species		 占总种数比例
Percentage of total
species (%)
鹅膏菌科Amanitaceae 2 11 5.26 鹅膏菌属 Amanita 10 4.78
小菇科 Mycenaceae 2 12 5.74 丝盖伞属 Inocybe 5 2.39
多孔菌科 Polyporaceae 8 14 6.70 蜡蘑属 Laccaria 5 2.39
红菇科 Russulaceae 3 23 11.00 小皮伞属 Marasmius 6 2.87
小菇属 Mycena 11 5.26
光柄菇属 Pluteus 5 2.39
红菇属 Russula 17 8.13
栓菌属 Trametes 5 2.39
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