Technical Papers
May 29, 2014

Damage Detection Based on Transmissibility of a Vehicle and Bridge Coupled System

Publication: Journal of Engineering Mechanics
Volume 141, Issue 1

Abstract

Research on damage detection is commonly carried out in the frequency domain using methods based on the modal data, transfer function or frequency response function, and transmissibility. The motivation for using transmissibility to detect damages relies on the fact that transmissibility measurements are local quantities that suggest high sensitivity. Nevertheless, the measurement of transmissibility requires external harmonic forces as the known input and sensors directly attached to the structure. There is a need for methods that can perform damage detection without attaching sensors and knowing the details of the input excitations. In a vehicle-bridge coupled (VBC) system the vehicle can serve as a force exciter and its dynamic response can be easily measured. In this paper, to make use of the vehicle response the transmissibility of a VBC system was first theoretically derived in a system consisting of a simply supported beam and a single-degree-of-freedom vehicle. Then, a numerical study was conducted to investigate the feasibility of detecting bridge damages using the vehicle transmissibility of the VBC system. In the numerical analysis, several damage indicators were constructed based on the transmissibility from both the bridge and vehicle responses, and compared to each other to select a proper one for damage detection. A parametric study was conducted on factors such as the measurement numbers, road roughness, and vehicle speeds and numbers to analyze the effectiveness of using such indicators for damage detection. To make use of the mobility of moving vehicles, two methods were finally proposed to measure the transmissibility of vehicle responses by using two vehicles. Method I used one reference vehicle and one moving vehicle; Method II used two moving vehicles at a constant distance in the longitudinal direction along the bridge. Using these two methods, the modal information such as natural frequencies and modal shape squares was successfully extracted for damage detections.

Get full access to this article

View all available purchase options and get full access to this article.

References

ANSYS 11.0 [Computer software]. Canonsburg, PA, Ansys.
Ball, J. A., Gohberg, I., and Kaashoek, M. A. (1995). “A frequency response function for linear, time-varying systems.” Math. Controls Signals Syst., 8(4), 334–351.
Bu, J. Q., Law, S. S., and Zhu, X. Q. (2006). “Innovative bridge condition assessment from dynamic response of a passing vehicle.” J. Eng. Mech., 1372–1379.
Cai, C. S., and Chen, S. R. (2004). “Framework of vehicle–bridge–wind dynamic analysis.” J. Wind Eng. Ind. Aerodyn., 92(7–8), 579–607.
Canales, G., Mevel, L., and Basseville, M. (2009). “Transmissibility based damage detection.” Proc., 27th Int. Operational Modal Analysis Conf. (IMAC XXVII), Society for Experimental Mechanics, Bethel, CT, 1–7.
Carden, E. P., and Fanning, P. (2004). “Vibration based condition monitoring: A review.” Struct. Health Monit., 3(4), 355–377.
Clough, R., and Penzien, J. (2003). Dynamics of structures, Computer and Structures, Berkeley, CA.
Dalianis, S. A., Hammond, J. K., White, P. R., and Cambourakis, G. E. (1998). “Simulation and identification of nonstationary systems using linear time-frequency methods.” J. Vib. Control, 4(1), 75–91.
Devriendt, C., De Sitter, G., and Guillaume, P. (2010). “An operational modal analysis approach based on parametrically identified multivariable transmissibilities.” Mech. Syst. Sig. Process., 24(5), 1250–1259.
Devriendt, C., De Sitter, G., Vanlanduit, S., and Guillaume, P. (2009). “Operational modal analysis in the presence of harmonic excitations by the use of transmissibility measurements.” Mech. Syst. Sig. Process., 23(3), 621–635.
Devriendt, C., and Guillaume, P. (2007). “The use of transmissibility measurements in output-only modal analysis.” Mech. Syst. Sig. Process., 21(7), 2689–2696.
Dodds, C. J., and Robson, J. D. (1973). “The description of road surface roughness.” J. Sound Vib., 31(2), 175–183.
Doebling, S. W., Farrar, C. R., and Prime, M. B. (1998). “A summary review of vibration-based damage identification methods.” Shock Vib. Dig., 30(2), 91–105.
Esfandiari, A., Bakhtiari-Nejad, F., Rahai, A., and Sanayei, M. (2009). “Structural model updating using frequency response function and quasi-liner sensitivity equation.” J. Sound Vib., 326(3–5), 557–573.
Esfandiari, A., Bakhtiari-Nejad, F., Sanayei, M., and Rahai, A. (2010). “Structural finite element model updating using transfer function data.” Comput. Struct., 88(1–2), 54–64.
Ewins, D. J., and Liu, W. (1998). “Transmissibility properties of MDOF systems.” Proc., 16th Int. Modal Analysis Conf. (IMAC XVI), Society for Experimental Mechanics, Bethel, CT, 847–854.
Fan, W., and Qiao, P. Z. (2011). “Vibration-based damage identification methods: A review and comparative study.” Struct. Health Monit., 10(1), 83–111.
González, A., OBrien, E. J., and McGetrick, P. J. (2012). “Identification of damping in a bridge using a moving instrumented vehicle.” J. Sound Vib., 331(18), 4115–4131.
Huang, D. Z., and Wang, T.-L. (1992). “Impact analysis of cable-stayed bridges.” Comput. Struct., 43(5), 897–908.
ISO. (1995). “Mechanical vibration—Road surface profiles—Reporting of measured data.” ISO 8608, Geneva.
Johnson, T. (2002). “Analysis of dynamic transmissibility as a feature for structural damage detection.” M.S. thesis, Purdue Univ., West Lafayette, IN.
Keenahan, J., OBrien, E. J., McGetrick, P. J., and González, A. (2014). “The use of a dynamic truck–trailer drive-by system to monitor bridge damping.” Struct. Health Monit., 13(2), 143–157.
Kim, C. W., Isemoto, R., Toshinami, T., Kawatani, M., McGetrick, P., and OBrien, E. J. (2011). “Experimental investigation of drive-by bridge inspection.” Proc., 5th Int. Conf. on Structural Health Monitoring of Intelligent Infrastructure (SHMII-5), Instituto de Ingeniería, UNAM, Mexico City, 1–9.
Kwakernaak, H., Sivan, R., and Strijbos, R. C. W. (1991). Modern signals and systems, Prentice Hall, Englewood Cliffs, NJ.
Lee, D. H., and Hwang, W. S. (2003). “Parametric optimization of complex systems using a multi-domain FRF-based substructuring method.” Comput. Struct., 81(22–23), 2249–2257.
Lew, J.-S. (1995). “Using transfer function parameter changes for damage detection of structures.” AIAA J., 33(11), 2189–2193.
Lin, C. W., and Yang, Y. B. (2005). “Use of a passing vehicle to scan the fundamental bridge frequencies: An experimental verification.” Eng. Struct., 27(13), 1865–1878.
Lu, Z. R., Huang, M., Chen, W. H., Liu, J. K., and Ni, Y. Q. (2010). “Assessment of local damages in box-girder bridges using measured dynamic responses of passing vehicle.” Proc., Prognostics and Health Management Conf., IEEE, New York, 1–7.
Lu, Z. R., and Liu, J. K. (2011). “Identification of both structural damages in bridge deck and vehiclar parameters using measured dynamic responses.” Comput. Struct., 89(13–14), 1397–1405.
Lu, Z. R., Liu, J. K., Huang, M., and Xu, W. H. (2009). “Identification of local damages in coupled beam systems from measured dynamic responses.” J. Sound Vib., 326(1–2), 177–189.
Maia, N. M. M., Almeida, R. A. B., Urgueira, A. P. V., and Sampaio, R. P. C. (2011). “Damage detection and quantification using transmissibility.” Mech. Syst. Sig. Process., 25(7), 2475–2483.
Maia, N. M. M., Silva, J. M. M., and Ribeiro, A. M. R. (2001). “The transmissibility concept in multi-degree-of-freedom systems.” Mech. Syst. Sig. Process., 15(1), 129–137.
MATLAB 7.12 (R2011a) [Computer software]. Natick, MA, MathWorks.
McGetrick, P. J., González, A., and OBrien, E. J. (2009). “Theoretical investigation of the use of a moving vehicle to identify bridge dynamic parameters.” Insight Non-Destr. Test. Condition Monit., 51(8), 433–438.
McGetrick, P. J., Kim, C.-W., González, A., and OBrien, E. J. (2013). “Dynamic axle force and road profile identification using a moving vehicle.” Int. J. Archit. Eng. Constr., 2(1), 1–16.
Miyamoto, A., and Yabe, A. (2011). “Bridge condition assessment based on vibration responses of passenger vehicle.” J. Phys. Conf. Ser., 305(1), 012103.
Miyamoto, A., and Yabe, A. (2013). “Development of a bridge health monitoring system for short- and medium-span bridges based on bus vibration.” Proc., 3rd Int. Conf. on Sustainable Construction Materials and Technologies (SCMT 2013), Coventry Univ., Coventry, U.K., and Univ. of Wisconsin–Milwaukee Center for By-Products Utilization, Milwaukee, 1–12.
Ribeiro, A. M. R., Maia, N. M. M., and Silva, J. M. M. (2000). “On the generalization of the transmissibility concept.” Mech. Syst. Sig. Process., 14(1), 29–35.
Shi, X., Cai, C. S., and Chen, S. (2008). “Vehicle induced dynamic behavior of short-span slab bridges considering effect of approach slab condition.” J. Bridge Eng., 83–92.
Sohn, H., Farrar, C., Hunter, N., and Worden, K. (2003). “A review of structural health monitoring literature: 1996–2001.” Rep. LA-13976-MS, Los Alamos National Laboratory, Los Alamos, NM.
Varoto, P. S., and McConnell, K. G. (1998). “Single point vs. multi point acceleration transmissibility concepts in vibration testing.” Proc., 16th Int. Modal Analysis Conf. (IMAC XVI), Society for Experimental Mechanics, Bethel, CT, 83–90.
Vestroni, F., and Capecchi, D. (2000). “Damage detection in beam structures based on frequency measurements.” J. Eng. Mech., 761–768.
Wang, Z., Lin, R. M., and Lim, M. K. (1997). “Structural damage detection using measured FRF data.” Comput. Meth. Appl. Mech. Eng., 147(1–2), 187–197.
Yan, Y. J., Cheng, L., Wu, Z. Y., and Yam, L. H. (2007). “Development in vibration-based structural damage detection technique.” Mech. Syst. Sig. Process., 21(5), 2198–2211.
Yang, Y. B., and Chang, K. C. (2009a). “Extracting the bridge frequencies indirectly from a passing vehicle: Parametric study.” Eng. Struct., 31(10), 2448–2459.
Yang, Y. B., and Chang, K. C. (2009b). “Extraction of bridge frequencies from the dynamic response of a passing vehicle enhanced by the EMD technique.” J. Sound Vib., 322(4–5), 718–739.
Yang, Y. B., Lin, C. W., and Yau, J. D. (2004). “Extracting bridge frequencies from the dynamic response of a passing vehicle.” J. Sound Vib., 272(3–5), 471–493.
Yi, X., Zhu, D., Wang, Y., Guo, J., and Lee, K. M. (2010). “Embedded transmissibility function analysis for damage detection in a mobile sensor network.” Proc., SPIE Conf. on Sensors and Smart Structures Technologies for Civil, Mechanical, and Aerospace Systems, Vol. 7647, Society of Photo-optical Instrumentation Engineers (SPIE), Bellingham, WA, 1–9.
Zadeh, L. A. (1950). “Frequency analysis of variable networks.” Proc. IRE, 38(3), 291–299.
Zhang, Y., Lie, S. T., and Xiang, Z. H. (2013). “Damage detection method based on operating deflection shape curvature extracted from dynamic response of a passing vehicle.” Mech. Syst. Sig. Process., 35(1–2), 238–254.
Zhang, Y., Wang, L. Q., and Xiang, Z. H. (2012). “Damage detection by mode shape squares extracted from a passing vehicle.” J. Sound Vib., 331(2), 291–307.

Information & Authors

Information

Published In

Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 141Issue 1January 2015

History

Received: Oct 30, 2013
Accepted: May 5, 2014
Published online: May 29, 2014
Published in print: Jan 1, 2015

Permissions

Request permissions for this article.

Authors

Affiliations

X. Kong, Ph.D., S.M.ASCE
Formerly, Research Assistant, Dept. of Civil and Environmental Engineering, Louisiana State Univ., Baton Rouge, LA 70803.
C. S. Cai, Ph.D., F.ASCE [email protected]
P.E.
Edwin B. and Norma S. McNeil Distinguished Professor, Dept. of Civil and Environmental Engineering, Louisiana State Univ., Baton Rouge, LA 70803 (corresponding author). E-mail: [email protected]
B. Kong, Ph.D.
Formerly, Research Assistant, Dept. of Civil and Environmental Engineering, Louisiana State Univ., Baton Rouge, LA 70803.

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share