高承载紧凑型准零刚度隔振器隔振特性分析与实验研究
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国家自然科学基金资助项目(12472010,12302003)


Analysis and Experimental Study on Vibration Isolation Characteristics of a High-Load Compact Quasi-Zero-Stiffness Isolator
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    摘要:

    准零刚度隔振器的高静刚度低动刚度特性可以有效解决传统隔振器低刚度和高承载之间的矛盾.然而,现有的准零刚度隔振器大多针对小负载工况而且结构不够紧凑,难以应用于设备负载大、安装空间紧凑的工况.鉴于此,本文提出了一种高承载紧凑型准零刚度隔振器,并通过实验验证了其重载低频隔振特性.该隔振器利用同轴永磁环提供负刚度,并与沿圆周均布的线圈弹簧并联实现准零刚度.通过等效磁荷法,推导了同轴永磁环的恢复力表达式,并使用COMSOL软件对永磁环进行有限元仿真来验证解析表达式的准确性.随后,建立了隔振系统的非线性动力学理论模型,通过谐波平衡法求解方程,并使用龙格库塔法对理论结果进行了验证,同时讨论了系统阻尼比和外部激励幅值对系统幅频响应和力传递率的影响规律.最后,制备了隔振器样机,并对其进行了准静态静力学试验和正弦激振试验.结果表明:同轴永磁环准零刚度隔振器可在60 mm安装高度和160 kg负载下实现紧凑重载低频隔振,在控制激励力幅值为20 N时起始隔振频率低至3.6 Hz,5 Hz时隔振效率为44.3%(5 dB),10 Hz时隔振效率达90%(20 dB).

    Abstract:

    The high static stiffness and low dynamic stiffness characteristics of the quasi-zero-stiffness isolator effectively address the conflict between low stiffness and high load-bearing capacity in traditional isolators. However, most existing quasi-zero-stiffness isolators are designed for small load conditions and have a less compact structure, making them difficult to apply in situations with higher loads and limited installation space. In view of this, a high-load compact quasi-zero-stiffness isolator is proposed and its heavy-load low-frequency vibration isolation characteristics is verified through experiments. The isolator utilizes coaxial permanent magnet rings to provide negative stiffness and achieves quasi-zero stiffness by paralleling with circumferentially distributed coil springs. The restoring force expression of the coaxial permanent magnet rings is derived using the equivalent magnetic charge method, and finite element simulation of the permanent magnet rings is conducted using COMSOL software to verify the accuracy of the analytical expression. Subsequently, a nonlinear dynamic theoretical model of the vibration isolation system is established, and the equations are solved using the harmonic balance method. The theoretical results are also verified using the Runge-Kutta method. Additionally, the influence of system damping ratio and external excitation amplitude on the system’s amplitude-frequency response and force transmissibility is discussed. Finally, a prototype of the isolator is fabricated, and quasi-static static tests and sinusoidal excitation tests are conducted. The results indicate that the coaxial magnet ring quasi-zero-stiffness isolator can achieve compact heavy-load low-frequency vibration isolation with an installation height of 60 mm and a load capacity of 160 kg. When the controlled excitation force amplitude is 20 N,the initial vibration isolation frequency is as low as 3.6 Hz, with a vibration isolation efficiency of 44.3% (5 dB) at 5 Hz and 90% (20 dB) at 10 Hz.

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李海鹏,昌耀鹏,潘洪斌,高靖航,周加喜.高承载紧凑型准零刚度隔振器隔振特性分析与实验研究[J].动力学与控制学报,2025,23(8):12~21; Li Haipeng, Chang Yaopeng, Pan Hongbin, Gao Jinghang, Zhou Jiaxi. Analysis and Experimental Study on Vibration Isolation Characteristics of a High-Load Compact Quasi-Zero-Stiffness Isolator[J]. Journal of Dynamics and Control,2025,23(8):12-21.

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  • 收稿日期:2025-01-04
  • 最后修改日期:2025-01-22
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  • 在线发布日期: 2025-09-04
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