Skip to main content
Log in

Smartphone-based bridge frequency identification using vehicle contact-point response

  • Published:
Earthquake Engineering and Engineering Vibration Aims and scope Submit manuscript

Abstract

Bridge frequency (BF) identification using the vehicle scanning method has attracted considerable attention during the last two decades. However, most previous studies have adopted unrealistic vehicle models, thus finding limited practical applications. This study proposes a smartphone-based BF identification method that uses the contact-point acceleration response of a four degree-of-freedom vehicle model. The said response can be inferred from the vehicle body response measured by a smartphone. For realizing practical applications, this method is incorporated into a self-developed smartphone app to obtain data smoothly and identify BFs in a timely manner. Numerical and experimental investigations are performed to verify the effectiveness of the proposed method. In particular, the robustness of this method is investigated numerically against various factors, including the vehicle speed, bridge span, road roughness, and bridge type. Furthermore, laboratory calibration tests are performed to investigate the accuracy of the smartphone gyroscope in measuring the angular velocity, where anomalous data are detected and eliminated. Laboratory experiment results for a simply supported bridge indicate that the proposed method can be used to identify the first two BFs with acceptable accuracy.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • ANSYS (2021), ANSYS User’s Manual Version 17.0, Houston, USA: ANSYS Inc.

    Google Scholar 

  • Cantero D, Hester D and Brownjohn J (2017), “Evolution of Bridge Frequencies and Modes of Vibration During Truck Passage,” Engineering Structures, 152: 452–464.

    Article  Google Scholar 

  • Cantero D, McGetrick P, Kim CW and Obrien E (2019), “Experimental Monitoring of Bridge Frequency Evolution During the Passage of Vehicles with Different Suspension Properties,” Engineering Structures, 187: 209–219.

    Article  Google Scholar 

  • Chen Y and Feng MQ (2003), “A Technique to Improve the Empirical Mode Decomposition in the Hilbert-Huang Transform,” Earthquake Engineering and Engineering Vibration, 2(1): 75–85.

    Article  Google Scholar 

  • Han J, Zheng P and Wang H (2014), “Structural Modal Parameter Identification and Damage Diagnosis Based on Hilbert-Huang Transform,” Earthquake Engineering and Engineering Vibration, 13(1): 101–111.

    Article  Google Scholar 

  • ISO-8608 (1995), Mechanical Vibration - Road Surface Profiles - Reporting of Measured Data, International Organization for Standardization.

  • Jian XD, Xia Y and Sun LM (2020), “An Indirect Method for Bridge Mode Shapes Identification Based on Wavelet Analysis,” Structural Control and Health Monitoring, 27(12): e2630.

    Article  Google Scholar 

  • Jin N, Yang YB, Dimitrakopoulos EG, Paraskeva TS and Katafygiotis LS (2021), “Application of Short-Time Stochastic Subspace Identification to Estimate Bridge Frequencies from a Traversing Vehicle,” Structural Control and Health Monitoring, 230: 111688.

    Google Scholar 

  • Li J, Zhu XQ, Law SS and Samali B (2019a), “Indirect Bridge Modal Parameters Identification with One Stationary and One Moving Sensors and Stochastic Subspace Identification,” Journal of Sound and Vibration, 446: 1–21.

    Article  Google Scholar 

  • Li J, Zhu XQ, Law SS and Samali B (2019b), “Drive-By Blind Modal Identification with Singular Spectrum Analysis,” Journal of Aerospace Engineering, 32(4): 04019050.

    Article  Google Scholar 

  • Lin CW and Yang YB (2005), “Use of a Passing Vehicle to Scan the Fundamental Bridge Frequencies: An Experimental Verification,” Engineering Structures, 27(13): 1865–1878.

    Article  Google Scholar 

  • Matarazzo TJ, Santi P, Pakzad SN, Carter K, Ratti C, Moaveni B, et al. (2018), “Crowdsensing Framework for Monitoring Bridge Vibrations Using Moving Smartphones,” Proceedings of the IEEE, 106(4): 577–593.

    Article  Google Scholar 

  • Mei Q and Gül M (2019), “A Crowdsourcing-Based Methodology Using Smartphones for Bridge Health Monitoring,” Structural Health Monitoring, 18(5–6): 1602–1619.

    Article  Google Scholar 

  • Mei Q, Gül M and Boay M (2019), “Indirect Health Monitoring of Bridges Using Mel-Frequency Cepstral Coefficients and Principal Component Analysis,” Mechanical Systems and Signal Processing, 119: 523–546.

    Article  Google Scholar 

  • Mei Q, Gül M and Shirzad-Ghaleroudkhani N (2020), “Towards Smart Cities: Crowdsensing-Based Monitoring of Transportation Infrastructure Using in-Traffic Vehicles,” Journal of Civil Structural Health Monitoring, 10(4): 653–665.

    Article  Google Scholar 

  • Nagarajaiah S and Basu B (2009), “Output Only Modal Identification and Structural Damage Detection Using Time Frequency & Wavelet Techniques,” Earthquake Engineering and Engineering Vibration, 8(4): 583–605.

    Article  Google Scholar 

  • Ozer E, Feng D and Feng MQ (2017), “Hybrid Motion Sensing and Experimental Modal Analysis Using Collocated Smartphone Camera and Accelerometers,” Measurement Science and Technology, 28(10): 105903.

    Article  Google Scholar 

  • Paraskeva TS, Dimitrakopoulos EG and Zeng Q (2017), “Dynamic Vehicle-Bridge Interaction Under Simultaneous Vertical Earthquake Excitation,” Bulletin of Earthquake Engineering, 15(1): 71–95.

    Article  Google Scholar 

  • Shirzad-Ghaleroudkhani N and Gül M (2020), “Inverse Filtering for Frequency Identification of Bridges Using Smartphones in Passing Vehicles: Fundamental Developments and Laboratory Verifications,” Sensors, 20(4): 1190.

    Article  Google Scholar 

  • Shirzad-Ghaleroudkhani N, Mei Q and Gül M (2020), “Frequency Identification of Bridges Using Smartphones on Vehicles with Variable Features,” Journal of Bridge Engineering, 25(7): 04020041.

    Article  Google Scholar 

  • Shokravi H, Shokravi H, Bakhary N, Heidarrezaei M, Rahimian Koloor SS and Petrů M (2020), “Vehicle-Assisted Techniques for Health Monitoring of Bridges,” Sensors, 20(12): 3460.

    Article  Google Scholar 

  • Yang YB, Chang CH and Yau JD (1999), “An Element for Analysing Vehicle-Bridge Systems Considering Vehicle’s Pitching Effect,” International Journal for Numerical Methods in Engineering, 46(7): 1031–1047.

    Article  Google Scholar 

  • Yang YB and Chang KC (2009), “Extraction of Bridge Frequencies from the Dynamic Response of a Passing Vehicle Enhanced by the EMD Technique,” Journal of Sound and Vibration, 322(4–5): 718–739.

    Article  Google Scholar 

  • Yang YB, Chang KC and Li YC (2013b), “Filtering Techniques for Extracting Bridge Frequencies from a Test Vehicle Moving over the Bridge,” Engineering Structures, 48: 353–362.

    Article  Google Scholar 

  • Yang YB, Chen WF, Yu HW and Chan CS (2013a), “Experimental Study of a Hand-Drawn Cart for Measuring the Bridge Frequencies,” Engineering Structures, 57: 222–231.

    Article  Google Scholar 

  • Yang YB, Li YC and Chang KC (2012), “Using Two Connected Vehicles to Measure the Frequencies of Bridges with Rough Surface: A Theoretical Study,” Acta Mechanica, 223(8): 1851–1861.

    Article  Google Scholar 

  • Yang YB, Lin CW and Yau JD (2004), “Extracting Bridge Frequencies from the Dynamic Response of a Passing Vehicle,” Journal of Sound and Vibration, 272(3–5): 471–493.

    Article  Google Scholar 

  • Yang YB, Wang BQ, Wang ZL, Shi K and Xu H (2022), “Scanning of Bridge Surface Roughness from Two-Axle Vehicle Response by EKF-UI and Contact Residual: Theoretical Study,” Sensors, 22(9): 3410.

    Article  Google Scholar 

  • Yang YB, Wang ZL, Shi K, Xu H and Wu YT (2020a), “State-of-the-Art of Vehicle-Based Methods for Detecting Various Properties of Highway Bridges and Railway Tracks,” International Journal of Structural Stability and Dynamics, 20(13): 2041004.

    Article  Google Scholar 

  • Yang YB, Xu H, Zhang B, Xiong F and Wang ZL (2020b), “Measuring Bridge Frequencies by a Test Vehicle in Non-Moving and Moving States,” Engineering Structures, 203: 109859.

    Article  Google Scholar 

  • Yang YB and Yang JP (2018), “State-of-the-Art Review on Modal Identification and Damage Detection of Bridges by Moving Test Vehicles,” International Journal of Structural Stability and Dynamics, 18(2): 1850025.

    Article  Google Scholar 

  • Yang YB, Yang JP, Zhang B and Wu YT (2019a), Vehicle Scanning Method for Bridges, first ed. Hoboken: Wiley, USA.

    Book  Google Scholar 

  • Yang YB and Yau JD (2015), “Vertical and Pitching Resonance of Train Cars Moving over a Series of Simple Beams,” Journal of Sound and Vibration, 337: 135–149.

    Article  Google Scholar 

  • Yang YB, Zhang B, Chen YA, Qian Y and Wu YT (2019b), “Bridge Damping Identification by Vehicle Scanning Method,” Engineering Structures, 183: 637–645.

    Article  Google Scholar 

  • Yang YB, Zhang B, Qian Y and Wu YT (2018), “Contact-Point Response for Modal Identification of Bridges by a Moving Test Vehicle,” International Journal of Structural Stability and Dynamics, 18(5): 1850073.

    Article  Google Scholar 

  • Yang YB, Zhang B, Wang T, Xu H and Wu Y (2019c), “Two-Axle Test Vehicle for Bridges: Theory and Applications,” International Journal of Mechanical Sciences, 152: 51–62.

    Article  Google Scholar 

  • Yu LP and Lubineau G (2021), “A Smartphone Camera and Built-in Gyroscope Based Application for Non-Contact Yet Accurate Off-Axis Structural Displacement Measurements,” Measurement, 167: 108449.

    Article  Google Scholar 

  • Zeng Q, Liu CY, Duan ZD, Yang JZ, Chen T and Wang S (2022), “An Algebraic Elimination by Substitution Algorithm for Vehicle–Bridge Interaction Problems,” International Journal of Structural Stability and Dynamics, 2250176.

  • Zhao BY and Nagayama T (2017), “IRI Estimation by the Frequency Domain Analysis of Vehicle Dynamic Responses,” Procedia Engineering, 188: 9–16.

    Article  Google Scholar 

  • Zhao BY, Nagayama T and Xue K (2019), “Road Profile Estimation, and Its Numerical and Experimental Validation, by Smartphone Measurement of the Dynamic Responses of an Ordinary Vehicle,” Journal of Sound and Vibration, 457: 92–117.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Qing Zeng.

Additional information

Supported by: National Natural Science Foundation of China under Grant Nos. 51978215 and 52378295, National Key R&D Program of China under Grant No. 2019YFC1511100, Guangdong Basic and Applied Basic Research Foundation under Grant No. 2022A1515110587, and Shenzhen S&T Project under Grant Nos. JCYJ20200109112816582 and KQTD20210811090112003

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Liu, C., Zhu, Y., Zeng, Q. et al. Smartphone-based bridge frequency identification using vehicle contact-point response. Earthq. Eng. Eng. Vib. 22, 1031–1043 (2023). https://doi.org/10.1007/s11803-023-2213-9

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11803-023-2213-9

Keywords

Navigation