耦合分段线性刚度NES系统能量传递和耗散研究
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O322

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国家自然科学基金资助项目(U1934201,12272242)


Energy transfer and dissipation studies of coupled piecewise linear stiffness NES system
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    摘要:

    针对耦合分段线性刚度NES的能量传递效率及系统能量耗散进行了研究。采用复变量?平均法得到了1∶1内共振下耦 合分段线性刚度能量阱的二自由度系统慢变方程。应用多项式近似法得到了系统慢不变流形两极值点的近似表达式,以此得 到了耦合分段线性刚度能量阱系统的能量传递效率方程以及能量耗散方程,并分析了分段间隙和分段线性刚度对能量传递效 率的影响以及阻尼比与耗散时间的关系。研究结果表明,系统的能量传递效率随着耦合分段线性刚度能量阱分段间隙的增大 而降低,随着分段刚度的增大而提高;能量耗散时间随着主结构阻尼系数的增大而缩短。通过调节结构参数,分段线性刚度能 量阱能够高效抑制主结构的振动。

    Abstract:

    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 ener gy 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.

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张云浩,王 军,申永军,张建超.耦合分段线性刚度NES系统能量传递和耗散研究[J].振动工程学报,2025,38(3):480~489.[ZHANG Yunhao, WANG Jun, SHEN Yongjun, ZHANG Jianchao. Energy transfer and dissipation studies of coupled piecewise linear stiffness NES system[J]. Journal of Vibration Engineering,2025,38(3):480~489.]

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  • 在线发布日期: 2025-03-31
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