Identification of instantaneous tension of bridge cables from dynamic responses: STRICT algorithm and applications

Abstract Real-time monitoring of instantaneous cable tension is essential for condition monitoring and health diagnosis of cable-supported bridges. Vibration-based identification of cable tension resting on the relation between the cable tension and the frequency of dynamic responses has been increasingly investigated in the last decade. The extant studies have realized identification of cable tension by in-situ measurement of dynamic responses, whereas monitoring of instantaneous variation of cable tension is a pending issue, not yet well resolved. To address this issue, this study proposes a new algorithm termed Synchrosqueezing short-time Fourier Transform-based Real-time Identification of Cable Tension (STRICT). The STRICT features identification of instantaneous frequencies of dynamic responses from acceleration sensors, facilitating determination of the instantaneous cable tension of bridges. The accuracy and reliability of the proposed method is demonstrated on a 3D finite element model, and its applicability is experimentally validated on the Jiangyin Yangtze River bridge. The numerical and experimental results show that the STRICT algorithm can identify instantaneous cable tension with satisfactory accuracy, providing a new path for monitoring the condition of cable-supported bridges.

[1]  Hui Li,et al.  Real‐time identification of time‐varying tension in stay cables by monitoring cable transversal acceleration , 2014 .

[2]  Arthur J. Helmicki,et al.  Cable-Stayed Bridges: Case Study for Ambient Vibration-Based Cable Tension Estimation , 2012 .

[3]  Hyunwoo Kim,et al.  Monitoring of tension force and load transfer of groundanchor by using optical FBG sensors embedded tendon , 2011 .

[4]  Yang Wang,et al.  Vibration Monitoring of the Voigt Bridge using Wired and Wireless Monitoring Systems , 2006 .

[5]  Norden E. Huang,et al.  On Instantaneous Frequency , 2009, Adv. Data Sci. Adapt. Anal..

[6]  Filipe Magalhães,et al.  Online automatic identification of the modal parameters of a long span arch bridge , 2009 .

[7]  Yuequan Bao,et al.  Identification of time‐varying cable tension forces based on adaptive sparse time‐frequency analysis of cable vibrations , 2017 .

[8]  Gang Chen,et al.  Determination of cable tensions based on frequency differences , 2008 .

[9]  Armin B. Mehrabi,et al.  In-Service Evaluation of Cable-Stayed Bridges, Overview of Available Methods, and Findings , 2006 .

[10]  Li Sheng.  Simulation methods of prestress in numerical analysis of large aqueduct , 2009 .

[11]  Zhenzhong Shen,et al.  Low strain pile testing based on synchrosqueezing wavelet transformation analysis , 2016, Journal of Vibroengineering.

[12]  Ingrid Daubechies,et al.  A Nonlinear Squeezing of the Continuous Wavelet Transform Based on Auditory Nerve Models , 2017 .

[13]  John G. Proakis,et al.  Digital Signal Processing: Principles, Algorithms, and Applications , 1992 .

[14]  Xugang Hua,et al.  Investigation of measurability and reliability of adhesive-bonded built-in fiber Bragg grating sensors on steel wire for bridge cable force monitoring , 2018, Measurement.

[15]  Frieder Seible,et al.  STRESS MEASUREMENT AND DEFECT DETECTION IN STEEL STRANDS BY GUIDED STRESS WAVES , 2003 .

[16]  N. Huang,et al.  The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysis , 1998, Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.

[17]  Ming Wang,et al.  Calibration of Elasto-Magnetic Sensors on In-Service Cable-Stayed Bridges for Stress Monitoring , 2018, Sensors.

[18]  M. Portnoff.  Time-frequency representation of digital signals and systems based on short-time Fourier analysis , 1980 .

[19]  Hiroshi Zui,et al.  Practical Formulas for Estimation of Cable Tension by Vibration Method , 1996 .

[20]  T. Lardner,et al.  Experimental determination of frequencies and tension for elastic cables , 1998 .

[21]  Lin Ma,et al.  A highly precise frequency-based method for estimating the tension of an inclined cable with unknown boundary conditions , 2017 .

[22]  M. S. Triantafyllou,et al.  Natural Frequencies and Modes of Inclined Cables , 1986 .

[23]  I. Daubechies,et al.  Synchrosqueezed wavelet transforms: An empirical mode decomposition-like tool , 2011 .

[24]  H. Li,et al.  Estimation and Warning of Fatigue Damage of FRP Stay Cables Based on Acoustic Emission Techniques and Fractal Theory , 2011, Comput. Aided Civ. Infrastructure Eng..

[25]  Xuefeng Chen,et al.  A Frequency-Shift Synchrosqueezing Method for Instantaneous Speed Estimation of Rotating Machinery , 2015 .

[26]  Anil K. Chopra,et al.  Dynamics of Structures: Theory and Applications to Earthquake Engineering , 1995 .

[27]  Hau-Tieng Wu,et al.  Using synchrosqueezing transform to discover breathing dynamics from ECG signals , 2014 .

[28]  Zhipeng Feng,et al.  Iterative generalized synchrosqueezing transform for fault diagnosis of wind turbine planetary gearbox under nonstationary conditions , 2015 .

[29]  Yongchao Yang,et al.  Real-Time Output-Only Identification of Time-Varying Cable Tension from Accelerations via Complexity Pursuit , 2016 .

[30]  Gaurav Thakur,et al.  The Synchrosqueezing transform for instantaneous spectral analysis , 2014, ArXiv.

[31]  Chuan Li,et al.  Rolling element bearing defect detection using the generalized synchrosqueezing transform guided by time-frequency ridge enhancement. , 2016, ISA transactions.

[32]  Jinping Ou,et al.  Structural Health Monitoring in mainland China: Review and Future Trends , 2010 .

[33]  Sylvain Meignen,et al.  The fourier-based synchrosqueezing transform , 2014, 2014 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP).

[34]  Zhi Fang,et al.  Practical Formula for Cable Tension Estimation by Vibration Method , 2012 .

[35]  Jing-Hua Gao,et al.  Time-Frequency Analysis of Seismic Data Using Synchrosqueezing Transform , 2014, IEEE Geoscience and Remote Sensing Letters.

[36]  Wei-Xin Ren,et al.  Experimental and analytical studies on dynamic characteristics of a large span cable-stayed bridge , 2005 .

[37]  Wei-Xin Ren,et al.  Empirical formulas to estimate cable tension by cable fundamental frequency , 2005 .

[38]  Taehyo Park,et al.  Estimation of cable tension force using the frequency-based system identification method , 2007 .

[39]  Carlos A. Perez-Ramirez,et al.  New methodology for modal parameters identification of smart civil structures using ambient vibrations and synchrosqueezed wavelet transform , 2016, Eng. Appl. Artif. Intell..

[40]  Hau-Tieng Wu,et al.  Heart beat classification from single-lead ECG using the synchrosqueezing transform , 2015, Physiological measurement.

[41]  A. Laskar,et al.  Influence of excessive end slippage on transfer length of prestressing strands in PC members , 2019, Structures.