纳米时栅位移传感器栅尺损伤误差特性分析
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重庆理工大学机械检测技术与装备教育部工程研究中心重庆400054

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TH7

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国家自然科学基金(52522512,52125503)、重庆理工大学科研创新团队(2023TDZ008)、重庆市自然科学基金(CSTB2023NSCQ-LZX0088)项目资助


Analysis of error characteristics induced by grid scale damage in nanometer time-grating displacement sensors
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Engineering Research Center of Mechanical Testing Technology and Equipment, Ministry of Education, Chongqing University of Technology, Chongqing 400054, China

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    摘要:

    针对纳米时栅位移传感器在复杂工业现场长期运行过程中因栅尺损伤所导致的传感器可靠性下降问题,开展了栅尺损伤误差特性研究。传感器栅尺由矩形电极阵列构成,相邻四路电极为一个周期;栅尺上方为双正弦形感应电极,用于拾取感应信号。当栅尺出现损伤时输出信号会受到影响,进而引入测量误差。为了研究传感器栅尺损伤误差特性,将栅尺损伤分为了栅尺电极断裂损伤和划痕损伤两类。首先,采用分段面积积分方法建立了栅尺电极无损伤状态下的理论传感模型。在此基础上,建立了栅尺电极断裂损伤的分段面积积分数学模型和划痕损伤的电场仿真模型,分别分析了栅尺电极断裂损伤和划痕损伤误差特性。理论分析表明:单路栅尺电极纵向断裂损伤会导致该路输出信号幅值减小,主要引入周期内一次谐波误差,并且误差随着电极断裂高度的增加而增加;当多路栅尺电极横向断裂时,会导致多路输出信号幅值不等,周期内主要表现为一次谐波误差;栅尺电极存在划痕损伤时对传感器测量精度影响不明显。最后,采用印刷电路板(PCB)工艺制作了传感器样机,搭建了实验平台,实验结果验证了理论分析的正确性。研究为后续提高传感器的长期性能可靠性和环境适应性提供了理论基础。

    Abstract:

    To address the issue of reduced sensor reliability caused by grid scale damage during long-term operation of nanometer time-grating displacement sensors in complex industrial environments, a study on the error characteristics of grid scale damage was conducted. The sensor′s grid scale is composed of a rectangular electrode array, with four adjacent electrodes forming one period. Above the grid scale is a dual-sinusoidal inductive electrode, used to capture induced signals. When the grid scale is damaged, the output signal is affected, thereby introducing measurement errors. To investigate the error characteristics of grid scale damage in the sensor, the grid scale damage was classified into two categories: Electrode fracture damage and scratch damage. First, a theoretical sensing model for the grid scale electrodes in their undamaged state was established using the piecewise area integration method. Based on this, a piecewise area integration mathematical model for fracture damage of grid scale electrodes and an electric field simulation model for scratch damage were established. These models were used to analyze the error characteristics associated with both types of damage. Theoretical analysis reveals that longitudinal fracture damage in a single grid scale electrode leads to a reduction in signal amplitude for that channel, primarily introducing a first harmonic error within the measurement cycle. This error increases with the height of the electrode fracture. When transverse fracture damage occurs across multiple electrodes, unequal signal amplitudes are observed among multiple channels, with the dominant error within the cycle again being the first harmonic error. However, scratch damage on the grid scale electrode shows no significant impact on the sensor′s measurement accuracy. Finally, a sensor prototype was fabricated using the printed circuit board (PCB) manufacturing process, and an experimental platform was constructed. The experimental results confirmed the accuracy of the theoretical analysis. This research provides a theoretical foundation for improving the long-term performance reliability and environmental adaptability of nanometer time-grating displacement sensors.

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蒲红吉,林栋,刘小康,陈自然,彭凯.纳米时栅位移传感器栅尺损伤误差特性分析[J].仪器仪表学报,2026,47(7):100-108

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  • 在线发布日期: 2026-09-24
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