Experimental Study of Cable Force Measurement on Cable-Stayed Bridges Based on Vibration Method
DOI:
https://doi.org/10.21831/inersia.v20i2.67731Keywords:
Cable-stayed bridges, Cable force, Accelerometer sensor, Numerical modeling, Frequency dataAbstract
This study investigates cable force estimation in cable-stayed bridges through a vibration-based approach, utilizing experimental data measured using an accelerometer sensor. In the initial phase of the research, the frequency data measured by accelerometers is validated through numerical modeling using the Midas Civil software. Additionally, besides employing the string formula, this study adopts formulas proposed by [1] to predict cable forces in two cable-stayed bridges in Indonesia. The estimated cable forces using both formulas are then compared with the actual cable forces measured during the lift-off test.
The analysis results indicate that most of the cable frequency data is valid, with differences of less than 7% between the measured frequencies and numerical results. However, a significant difference is observed in one cable, BA-M11, with differences of up to 50.9%. This suggests that the mode order and frequency values measured for this cable are not valid. Through a numerical approach, accurate mode orders and frequencies are determined, enabling confident use of the measurement data for cable force estimation in the case of cable BA-M11.
Furthermore, when the validated mode orders and frequency values are used with both the string formula and Yu's proposed formulas, the results show that Yu's formulas tend to provide more accurate estimations compared to the string theory, with average differences in cable force estimation of approximately 4.33% and 2.97% relative to the lift-off force.
The contribution of this research lies in the utilization of numerical verification to correct inaccuracies in accelerometer-measured mode orders and frequency values. Subsequently, armed with validated mode orders and frequency values, Yu's proposed formulas demonstrate superior accuracy in predicting cable forces compared to the string theory when both are compared with lift-off test data.References
C.-P. Yu, C.-C. Cheng, and C.-H. Chiang, "Alternative determination of cable forces using flexural theory of axially loaded member," Nondestruct. Charact. Compos. Mater. Aerosp. Eng. Civ. Infrastructure, Homel. Secur. 2011, vol. 7983, p. 79832R, 2011, doi: 10.1117/12.880346.
L. Zhang, G. Qiu, and Z. Chen, "Structural health monitoring methods of cables in cable-stayed bridge: A review," Meas. J. Int. Meas. Confed., vol. 168, no. May 2020, p. 108343, 2021, doi: 10.1016/j.measurement.2020.108343.
C. C. Chen, W. H. Wu, C. H. Huang, and G. Lai, "Determination of stay cable force based on effective vibration length accurately estimated from multiple measurements," Smart Struct. Syst., vol. 11, no. 4, pp. 411–433, 2013, doi: 10.12989/sss.2013.11.4.411.
B. H. Kim, T. Park, H. Shin, and T.-Y. Yoon, "A comparative study of the tension estimation methods for cable supported bridges," Int. J. Steel Struct., vol. 7, no. 1, pp. 77–84, 2007.
B. Xu, D. Dan, and X. Yu, "Real-time online intelligent perception of time-varying cable force based on vibration monitoring," Eng. Struct., vol. 270, no. September, p. 114925, 2022, doi: 10.1016/j.engstruct.2022.114925.
B. M. S. Triantafyllou and L. Grinfogel, "Study on Estimating Tension of Tied Hanger Rope of Suspension Bridge by Vibration Method" Proc. JSCE, 404(I-11), pp. 455-458, 1986.
H. Zui, T. Shinke, and Y. Namita. "Practical Formulas for Estimation of Cable Tension by Vibration Method," J. Struct. Eng, 122:651-656, 1996.
J. C. Russell and T. J. Lardner, "Experimental Determination of Frequencies and Tension for Elastic Cables," J. Eng. Mech., vol. 124, no. 10, pp. 1067–1072, 1998, doi: 10.1061/(asce)0733-9399(1998)124:10(1067).
R. Geier, G. De Roeck, and R. Flesch, "Accurate cable force determination using ambient vibration measurements," Struct. Infrastruct. Eng., vol. 2, no. 1, pp. 43–52, 2006, doi: 10.1080/15732470500253123.
T. Shimada, K Kimoto, and S. Narui, "Study on Estimating Tension of Tied Hanger Rope of Suspension Bridge by Vibration Method," Proc. JSCE, 404(I-11), pp. 455-458, 1989.
I. Hidayat and H. T. Santoso, "Evaluation of Cable Tension Using Static and Dynamic Test," vol. 25, no. 01, pp. 15–26, 2023.
VSL, "Executive Summary Proyek Rehabilitasi Berkala Jembatan RH Fisabilillah-Batam," 2017.
DSI, "Balang-Summary Final lift Off."
Midas IT, "Analysis for Civil Structures," p. 389, 2012.
"A. K. Chopra, "Dynamics of Structures. Theory and Applications to Earthquake Engineering," 3rd Edition, Prentice Hall, Upper Saddle River, 2006.
H. M. Irvine, "Cable structures," MIIT Press, 1981.
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