基于锁频现象的质量传感器设计及检测性能分析
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山东理工大学交通与车辆工程学院淄博255049

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TP212;TN79

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国家自然科学基金(11902182)、山东省自然科学基金面上项目(ZR2023MA057)资助


Design and detection performance analysis of a mass sensor based on frequency locking phenomenon
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School of Transportation and Vehicle Engineering, Shandong University of Technology, Zibo 255049, China

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    摘要:

    为了克服峰值频率对驱动幅值的依赖性,提高非线性谐振系统的频率稳定性,设计了一种基于机械双锁频现象的新型质量传感器。首先,构建三自由度磁耦合谐振系统模型,对谐振系统模型进行理论分析和动力学预测;其次,实验验证机械双锁频现象,并提出质量传感器的检测原理;最后,研究了耦合间距对第1次频率锁定、第2次频率锁定、检测量程、灵敏度和线性度的影响。实验结果表明,谐振系统的峰值频率在两个驱动电压区间内保持相对稳定,驱动电压为60~105 V时,出现第1次频率锁定现象,频率稳定在27.18 Hz左右;120~150 V的驱动电压下产生第2次频率锁定现象,频率稳定在27.61 Hz左右,且在两个稳定区间之间产生0.43 Hz的频移跳跃。利用第1次频率锁定-解锁位置和频率偏移能够实现吸附质量的检测,适当的增大耦合间距后,质量传感器检测量程由4 mg提升至5 mg,且灵敏度由0.09 Hz/mg增大到0.12 Hz/mg,证明了实现质量传感的可行性。所得结论提高了传感器峰值频率稳定性,并为质量传感器提供了一种新的可能性。

    Abstract:

    To address the dependence of peak frequency on driving amplitude and enhance the frequency stability of nonlinear resonant systems, a novel mass sensor based on the mechanical dual-frequency locking phenomenon has been designed. Initially, a three-degree-of-freedom magnetically coupled model was constructed to theoretically analyze and predict the dynamic behavior of coupled model. Subsequently, the mechanical dual-frequency locking phenomenon was experimentally verified, and the detection principle of the mass sensor was proposed. Additionally, the influence of coupling spacing on the first frequency locking, second frequency locking, detection range, and linearity was investigated. Experimental results demonstrated that the resonant system exhibits relatively stable peak frequencies within two distinct driving voltage intervals. Specifically, the first frequency locking was observed at a driving voltage of 60~105 V, with a stable frequency around 27.18 Hz. The second frequency locking appeared at a driving voltage of 120~150 V, with a stable frequency around 27.61 Hz, and a frequency shift jump of 0.43 Hz occurred between these two stable ranges. The detection of adsorbed mass was achieved by monitoring the first frequency-locking range and the associated unlocking position, combined with the corresponding frequency shift. By appropriately adjusting the coupling spacing, the detection range of the sensor for quality has been increased from 4 mg to 5 mg, and the sensitivity has increased from 0.09 Hz/mg to 0.12 Hz/mg. The conclusions drawn enhanced the peak frequency stability of the sensor and offered a new possibility for mass sensors.

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杨威,张传森,李泰宇,汤沛源,李磊.基于锁频现象的质量传感器设计及检测性能分析[J].电子测量与仪器学报,2025,39(11):82-89

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