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聂小春, 林西齐, 付俊杰, 王灵芝, 晏致涛. 脉冲激励下阻尼非线性对串列式两自由度非线性能量阱的减振性能研究. 力学学报, 2024, 56(3): 1-17. DOI: 10.6052/0459-1879-23-496
引用本文: 聂小春, 林西齐, 付俊杰, 王灵芝, 晏致涛. 脉冲激励下阻尼非线性对串列式两自由度非线性能量阱的减振性能研究. 力学学报, 2024, 56(3): 1-17. DOI: 10.6052/0459-1879-23-496
Nie Xiaochun, Lin Xiqi, Fu Junjie, Wang Lingzhi, Yan Zhitao. Research on the vibration suppression performance of a series two degree of freedom nonlinear energy sink under pulse excitation with damping nonlinearity. Chinese Journal of Theoretical and Applied Mechanics, 2024, 56(3): 1-17. DOI: 10.6052/0459-1879-23-496
Citation: Nie Xiaochun, Lin Xiqi, Fu Junjie, Wang Lingzhi, Yan Zhitao. Research on the vibration suppression performance of a series two degree of freedom nonlinear energy sink under pulse excitation with damping nonlinearity. Chinese Journal of Theoretical and Applied Mechanics, 2024, 56(3): 1-17. DOI: 10.6052/0459-1879-23-496

脉冲激励下阻尼非线性对串列式两自由度非线性能量阱的减振性能研究

RESEARCH ON THE VIBRATION SUPPRESSION PERFORMANCE OF A SERIES TWO DEGREE OF FREEDOM NONLINEAR ENERGY SINK UNDER PULSE EXCITATION WITH DAMPING NONLINEARITY

  • 摘要: 非线性能量阱(nonlinear energy sink, NES)是一种优于线性吸振器的被动能量吸收装置, 其在各个领域的抑振中起着关键性的作用. 对具有线性阻尼的串联式两自由度非线性能量阱(2-DOF LNES)、具有非线性立方项阻尼的串联式两自由度非线性能量阱(2-DOF NNES)以及具有线性和非线性阻尼的组合式串联两自由度非线性能量阱(2-DOF CNES) 3种系统在脉冲激励下的振动抑制性能及能量传递形式进行了研究. 建立了3种系统的理论模型, 并利用复变量平均法对相应的系统近似解进行了推导, 得到了对应的慢变动力流方程. 使用4阶龙格库塔法对同种系统在不同初始能量下NES的减振效率及能量传递形式进行了纵向对比研究, 又对不同系统在同种初始能量下的减振性能和能量传递形式进行了横向对比研究. 结果表明, 在主结构耦合串联式两自由度NES模型中, NES振子对主结构的减振主要通过1:1:1瞬态共振俘获实现. 2-DOF LNES和2-DOF NNES分别在较小和较大的初始能量条件下对主结构具有较好的抑振能力. 2-DOF CNES则综合了2-DOF LNES及2-DOF NNES系统各自的优势, 不仅具有小的能量触发阈值, 并且在主结构受到较大的初始脉冲激励时也能保持较好的减振性能, 这种优势使其在应对不同的初始能量条件下时均具有较高的减振效率和鲁棒性.

     

    Abstract: Nonlinear energy sink (NES) is a passive energy absorption device that is superior to linear vibration absorbers and plays a crucial role in suppressing vibration in various fields. This paper presents a study on the series two degree of freedom nonlinear energy sink (2-DOF LNES) with linear damping. The vibration suppression performance and energy transfer form of the series two degree of freedom nonlinear energy sink (2-DOF NNES) with nonlinear cubic damping and the combination series two degree of freedom nonlinear energy sink (2-DOF CNES) with linear and nonlinear damping under impact load were studied. The theoretical models of the three systems were described, and the approximate solutions of the corresponding systems were derived using the complex variable averaging method. The corresponding slowly varying dynamic flow equation was obtained. The fourth order Runge-Kutta numerical method was used to longitudinally compare the vibration reduction efficiency and energy transfer form of NES for the same system at different initial energies. Additionally, a transverse comparative study was conducted on the vibration reduction performance and energy transfer form of different systems at the same initial energy. Results showed that the vibration suppression of the NES oscillator on the main structure is mainly achieved through 1:1:1 transient resonance capture. 2-DOF LNES has good vibration suppression ability on the main structure under small initial energy conditions. The 2-DOF LNES and 2-DOF NNES have better vibration suppression capabilities for the primary structure under smaller and larger initial energy conditions, respectively. 2-DOF CNES combines the advantages of the 2-DOF LNES and 2-DOF NNES systems, which not only has a small energy triggering threshold, but also maintains a higher vibration suppression performance when the primary structure is subjected to a larger initial pulse excitation. This advantage makes the system more efficient and robust when dealing with different initial energy conditions.

     

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