A monocular vision-based motion parameter measurement method for low-frequency shakers

Authors

  • Yunpeng Wang Guizhou University, School of Electrical Engineering, Guiyang 550025, China
  • Xiongheng Cao Hunan Institute of Metrology and Test, Changsha 410007, China
  • Hongjiang Chen Hunan Institute of Metrology and Test, Changsha 410007, China
  • Kui Gan Hunan Institute of Metrology and Test, Changsha 410007, China
  • Shanshan Wu Hunan Institute of Metrology and Test, Changsha 410007, China
  • Deguang Wang Guizhou University, School of Electrical Engineering, Guiyang 550025, China

DOI:

https://doi.org/10.24425/mms.2025.155809

Abstract

Accurate measurement of low-frequency vibration parameters is critical for assessing the performance, stability, and dynamic characteristics of mechanical systems. This study proposes a monocular vision-based method for non-contact measurement of motion parameters in low-frequency shakers. The proposed method utilizes high-contrast sinusoidal fringe markers and high-resolution image acquisition to track fringe density variations caused by periodic out-of-plane motion. To enhance frequency estimation accuracy and mitigate spectral leakage, we introduce an improved time-shifting correction method, which features adaptive time-lapse selection and statistical outlier elimination to improve spectral resolution and robustness. Using a calibrated imaging model, the extracted fringe density signals are further processed to derive precise displacement and acceleration values. An experimental platform is established to validate the proposed method against conventional methods based on grating ruler displacement sensors and accelerometers. Experimental results demonstrate that the proposed method achieves high measurement accuracy, with displacement amplitude errors confined within 0.5% and total harmonic distortion values in acceleration measurements below 0.1. Additionally, the proposed method also exhibits excellent stability across a range of low-frequency scenarios. These findings confirm that the proposed method offers a reliable and non-contact alternative for low-frequency vibration measurement, holding strong potential for advancing applications in structural health monitoring, dynamic system diagnostics, and non-destructive testing.

References

[1] Cui, G., Li, B., Tian, W., Liao, W., & Zhao, W. (2021). Dynamic modeling and vibration prediction of an industrial robot in manufacturing. Applied Mathematical Modelling, 105, 114-136. https://doi.org/10.1016/j.apm.2021.12.031

[2] Villarroel, A., Zurita, G., & Velarde, R. (2019). Development of a low-cost vibration measurement system for industrial applications. Machines, 7(1), 12. https://doi.org/10.3390/machines7010012

[3] Zhong, J., Liu, D., Chi, S., Tu, Z., & Zhong, S. (2022). Vision-based fringe projection measurement system for radial vibration monitoring of rotating shafts. Mechanical Systems and Signal Processing, 181, 109467. https://doi.org/10.1016/j.ymssp.2022.109467

[4] Yang, M., Liu, Z., Cai, C., Wang, Y., Yang, J., & Yang, J. (2021). Monocular vision-based calibration method for the axial and transverse sensitivities of low-frequency triaxial vibration sensors with the elliptical orbit excitation. IEEE Transactions on Industrial Electronics, 69(12), 13763-13772. https://doi.org/10.1109/tie.2021.3130325

[5] Yang, M., Zhang, J., Cai, C., Wang, Y., Liu, Z., & Wang, D. (2023). A superefficient monocular vision dynamic calibration method used for determining the sensitivities of low-frequency linear and vibration angular sensors. IEEE Transactions on Industrial Electronics, 71(9), 11716-11720. https://doi.org/10.1109/tie.2023.3337540

[6] Fu, Y. (2009). Low-frequency vibration measurement by temporal analysis of projected fringe patterns. Optics and Lasers in Engineering, 48(2), 226-234. https://doi.org/10.1016/j.optlaseng.2009.03.003

[7] Ding, J., Wang, Y., Wang, M., Sun, Y., Peng, Y., Luo, J., & Pu, H. (2022). An active geophone with an adjustable electromagnetic negative stiffness for low-frequency vibration measurement. Mechanical Systems and Signal Processing, 178, 109207. https://doi.org/10.1016/j.ymssp.2022.109207

[8] Wu, Q., Yang, M., Liu, Z., Cai, C., Wang, Y., & Wang, D. (2024). Monocular vision-based decoupling measurement method for multi-degree-of-freedom motion. IEEE Sensors Journal, 24(21), 35092-35100. https://doi.org/10.1109/jsen.2024.3457627

[9] Li, L., Ohkubo, T., & Matsumoto, S. (2020). Vibration measurement of a steel building with viscoelastic dampers using acceleration sensors. Measurement, 171, 108807. https://doi.org/10.1016/j.measurement.2020.108807

[10] Link, A., Täubner, A., Wabinski, W., Bruns, T., & Elster, C. (2006). Calibration of accelerometers: determination of amplitude and phase response upon shock excitation. Measurement Science and Technology, 17(7), 1888-1894. https://doi.org/10.1088/0957-0233/17/7/030

[11] Lin, J., Guan, J., Wen, F., & Tan, J. (2017). High-resolution and wide range displacement measurement based on planar grating. Optics Communications, 404, 132-138. https://doi.org/10.1016/j.optcom.2017.03.012

[12] Garg, N., & Schiefer, M. (2017). Low frequency accelerometer calibration using an optical encoder sensor. Measurement, 111, 226-233. https://doi.org/10.1016/j.measurement.2017.07.031

[13] Li, Q., Wang, S., Guan, B., & Wang, G. (2007). A machine vision method for the measurement of vibration amplitude. Measurement Science and Technology, 18(5), 1477-1486. https://doi.org/10.1088/0957-0233/18/5/038

[14] Tang, W., Tian, L., & Zhao, X. (2016). Research on displacement measurement of disk vibration based on machine vision technique. Optik, 127(8), 4173-4177. https://doi.org/10.1016/j.ijleo.2016.01.019

[15] Dong, C., Ye, X., & Jin, T. (2017). Identification of structural dynamic characteristics based on machine vision technology. Measurement, 126, 405-416. https://doi.org/10.1016/j.measurement.2017.09.043

[16] Zhong, J., Zhong, S., Zhang, Q., Liu, S., Peng, Z., & Maia, N. (2018). Real-time three-dimensional vibration monitoring of rotating shafts using constant-density sinusoidal fringe pattern as tri-axial sensor. Mechanical Systems and Signal Processing, 115, 132-146. https://doi.org/10.1016/j.ymssp.2018.05.049

[17] Yang, M., Cai, C., Liu, Z., & Wang, Y. (2020). Monocular vision-based calibration method for determining frequency characteristics of low-frequency vibration sensors. IEEE Sensors Journal, 21(4), 4377-4384. https://doi.org/10.1109/jsen.2020.3035581

[18] Zuo, S., Cai, C., Yang, M., Liu, Z., Wang, D., & Wang, Y. (2023). Prior information-based motion blur image restoration method for the low-frequency sinusoidal vibration measurements with machine vision. Signal Processing, 212, 109132. https://doi.org/10.1016/j.sigpro.2023.109132

[19] Zhong, J., Zhong, S., Zhang, Q., Zhuang, Y., Lu, H., & Fu, X. (2016). Vision-based measurement system for structural vibration monitoring using non-projection quasi-interferogram fringe density enhanced by spectrum correction method. Measurement Science and Technology, 28(1), 015903. https://doi.org/10.1088/1361-6501/28/1/015903

[20] Chen, M. (2002). Roundness measurements for discontinuous perimeters via machine visions. Computers in Industry, 47(2), 185-197. https://doi.org/10.1016/s0166-3615(01)00143-9

[21] Zhong, S., Zhong, J., Zhang, Q., & Maia, N. (2017). Quasi-optical coherence vibration tomography technique for damage detection in beam-like structures based on auxiliary mass induced frequency shift. Mechanical Systems and Signal Processing, 93, 241-254. https://doi.org/10.1016/j.ymssp.2017.02.005

[22] Kang, D., Jiang-Kai, L., & Ming, X. (2002). Time-shifting correcting method of phase difference on discrete spectrum. Applied Mathematics and Mechanics, 23(7), 819-827. https://doi.org/10.1007/bf02456978

Downloads

Published

2025-12-30

How to Cite

Wang, Yunpeng, et al. “A Monocular Vision-Based Motion Parameter Measurement Method for Low-Frequency Shakers”. Metrology and Measurement Systems, vol. 32, no. 4, Dec. 2025, pp. art. no. 9, 1-17, doi:10.24425/mms.2025.155809.

Issue

Section

Articles