拉簧构造正、负刚度并联机制的准零刚度隔振器设计
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国家自然科学基金资助项目(12202405, 52275138), 河南省高校科技人才支持计划资助项目(22HASTIT023)


Design of Quasi-Zero Stiffness Isolator Based on Positive and Negative Stiffness Parallel Mechanism Realized by Tension Springs
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    摘要:

    准零刚度(QZS)隔振器因优越的低频隔振能力获得广泛关注,但低频激励时实验装置中较大的阻尼将引起隔振质量无相对运动,导致低频隔振失效.为解决这一问题,采用拉伸弹簧替代压缩弹簧以减小实验装置中的阻尼,拉簧构造正、负刚度结构且并联,设计全拉簧准零刚度隔振器.静态分析推导了准零刚度条件,分析了参数影响下的准零刚度特性,可实现静态平衡点附近宽范围的准零刚度.动态分析中,采用谐波平衡法验证基于增量谐波平衡法和连续算法计算的位移传递率,在隔振频域具有较好的一致性.通过设计、装配隔振器样机,开展了动态隔振实验,同时采用ADAMS仿真分析了隔振样机的动态特性,样机实验和仿真分析的位移传递率与理论预测值具有较好的一致性.结果表明,准零刚度隔振器的起始隔振频率可达到1.5 Hz,而对应无负刚度拉伸弹簧的线性隔振器起始隔振频率为6 Hz,验证了拉伸弹簧构造正、负刚度并联机制的准零刚度隔振器具有优良的隔振性能.

    Abstract:

    Quasi-zero stiffness (QZS) isolators have been widely studied owing to their superior low-frequency vibration isolation performance. However, the heavy damping in prototypes will lead to no relative motions between the isolated mass and the excitation at low frequencies, thus the vibration isolation is of failure at low frequencies. To address this limitation, compression springs are replaced with tension springs to reduce system damping in the prototype. These tension springs are configured to form both positive and negative stiffness structures arranged in parallel, thereby enabling the design of a QZS isolator utilizing exclusively tension springs. The QZS condition is derived from the static analysis, and the influence of key parameters on QZS features is analyzed. Wide QZS ranges around the static equilibrium position can be achieved. For dynamic analysis, the harmonic balance method is employed to validate the displacement transmissibility results calculated by the incremental harmonic balance method combined with a continuation algorithm. Theoretical predictions calculated by both methods demonstrate close agreement within the effective isolation frequency band. Finally, a prototype had been designed, fabricated and dynamically tested. Meanwhile, a corresponding simulation model was analyzed using ADAMS. Both the tested and simulated displacement transmissibilityexhibit strong consistency with theoretical predictions. The findings demonstrate that the proposed QZS isolator achieves the initial frequency of 1.5 Hz for vibration isolation and the corresponding linear isolator without negative stiffness is 6 Hz. The results verify the superior performance of the vibration isolation of the QZS isolator based on the parallel mechanism of the positive and negative stiffness structures constructed by tension springs.

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赵峰,魏士清,杜文辽,王才东,曹树谦.拉簧构造正、负刚度并联机制的准零刚度隔振器设计[J].动力学与控制学报,2025,23(12):13~23; Zhao Feng, Wei Shiqing, Du Wenliao, Wang Caidong, Cao Shuqian. Design of Quasi-Zero Stiffness Isolator Based on Positive and Negative Stiffness Parallel Mechanism Realized by Tension Springs[J]. Journal of Dynamics and Control,2025,23(12):13-23.

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  • 收稿日期:2025-03-19
  • 最后修改日期:2025-05-22
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  • 在线发布日期: 2025-12-23
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