Statistical Damage Prognosis for In-Service Civil Structures against Hazards: Formulations and Applications
Publication: Journal of Engineering Mechanics
Volume 142, Issue 3
Abstract
This paper proposes an expectation-maximization (EM) algorithm embedded statistical damage prognosis paradigm for in-service civil structures against natural hazards. Being within the scope of structural health monitoring, damage prognosis examines the future safety performance of existing structures given relevant damage diagnosis results that reveal the current health condition of the structures under investigation. The damage diagnosis results, which constitute a prerequisite for a reasonably accurate damage prognosis, may in reality turn out to be incomplete owing to various on-site or off-site operation issues. Instead of working on measures to help preclude any data missingness event, this study focuses on exploring an innovative approach, namely for the purpose of damage prognosis striving to make the most of the damage diagnosis results that have become incomplete. The proposed EM algorithm embedded damage prognosis paradigm comprises two sets of procedures, i.e., prognosis validation and prognosis implementation, and each set of the procedures takes into account both the time invariant and time variant damage prognoses. The paradigm is first illustrated by using some meticulously constructed generic performance functions and then applied to some typical situations where existing civil structures are subjected to natural hazards.
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References
ACI (American Concrete Institute). (2005). “Building code requirements for structural concrete (ACI 318-05) and commentary (ACI 318R-05).” Farmington Hills, MI.
Brigham, J. C., and Aquino, W. (2007). “Surrogate-model accelerated random search algorithm for global optimization with applications to inverse material identification.” Comput. Meth. Appl. Mech. Eng., 196(45–48), 4561–4576.
Chan, T., and Thambiratnam, D. P., eds. (2011). Structural health monitoring in Australia, Nova Science, Hauppauge, NY.
Chang, F.-K., ed. (2013). Structural health monitoring 2013: A roadmap to intelligent structures: Proceedings of the ninth international workshop, September 10-13, 2013, Stanford University, DEStech, Lancaster, PA.
Dempster, A. P., Laird, N. M., and Rubin, D. B. (1977). “Maximum likelihood from incomplete data via the EM algorithm.” J. R. Stat. Soc. Ser. B Meth., 39(1), 1–38.
Doebling, S. W., Farrar, C. R., Prime, M. B., and Shevitz, D. W. (1996). “Damage identification and health monitoring of structural and mechanical systems from changes in their vibration characteristics: A literature review.”, Los Alamos National Laboratory, Los Alamos, NM.
Efron, B., and Tibshirani, R. J. (1993). An introduction to the bootstrap, Chapman & Hall, New York.
Heitjan, D. F., and Basu, S. (1996). “Distinguishing ‘missing at random’ and ‘missing completely at random’.” Am. Stat., 50(3), 207–213.
Lee, K. H., and Rosowsky, D. V. (2005). “Fragility assessment for roof sheathing failure in high wind regions.” Eng. Struct., 27(6), 857–868.
Meng, X.-L., and van Dyk, D. (1997). “The EM algorithm—An old folk-song sung to a fast new tune.” J. R. Stat. Soc. Ser. B Meth., 59(3), 511–567.
Mori, Y., and Ellingwood, B. R. (1993). “Reliability-based service-life assessment of aging concrete structures.” J. Struct. Eng., 1600–1621.
Mostaghel, N. (1999). “Analytical description of pinching, degrading hysteretic systems.” J. Eng. Mech., 216–224.
Mostaghel, N., and Byrd, R. A. (2000). “Analytical description of multidegree bilinear hysteretic system.” J. Eng. Mech., 588–598.
Novo, A. A., and Schafer, J. L. (2012). “norm: Analysis of multivariate normal datasets with missing values.” The R Foundation for Statistical Computing, Vienna, Austria, 〈http://CRAN.R-project.org/package=norm〉 (Apr. 2015).
Ramsamooj, D. V. (2003). “Analytical prediction of fatigue crack propagation in metals.” J. Eng. Mech., 672–682.
R Core Team. (2012). “R: A language and environment for statistical computing.” The R Foundation for Statistical Computing, Vienna, Austria, 〈http://www.R-project.org〉 (Apr. 2015).
Robertson, A., and Hemez, F. M. (2005). “Reliability methods.” Damage prognosis: For aerospace, civil and mechanical systems, D. J. Inman, C. R. Farrar, V. Lopes, Jr., and V. Steffen, Jr., eds., Wiley, Chichester, U.K., 221–234.
Rytter, A. (1993). “Vibration based inspection of civil engineering structures.” Ph.D. thesis, Aalborg Univ., Aalborg, Denmark.
Shenoy, V., Ashcroft, I. A., Critchlow, G. W., and Crocombe, A. D. (2010). “Fracture mechanics and damage mechanics based fatigue lifetime prediction of adhesively bonded joints subjected to variable amplitude fatigue.” Eng. Fract. Mech., 77(7), 1073–1090.
Simiu, E., and Scanlan, R. H. (1996). Wind effects on structures: Fundamentals and applications to design, 3rd Ed., Wiley, New York.
Singh, R., Park, J. H., and Atluri, S. N. (1994). “Growth of multiple cracks and their linkup in a fuselage lap joint.” AIAA J., 32(11), 2260–2268.
Singhal, A., and Kiremidjian, A. S. (1996). “Method for probabilistic evaluation of seismic structural damage.” J. Struct. Eng., 1459–1467.
Song, J., and Ok, S.-Y. (2010). “Multi-scale system reliability analysis of lifeline networks under earthquake hazards.” Earthquake Eng. Struct. Dyn., 39(3), 259–279.
Soong, T. T., and Grigoriu, M. (1993). Random vibration of mechanical and structural systems, Prentice Hall, Englewood Cliffs, NJ.
Sreekanth, J., and Datta, B. (2010). “Multi-objective management of saltwater intrusion in coastal aquifers using genetic programming and modular neural network based surrogate models.” J. Hydrol., 393(3–4), 245–256.
Stewart, M. G. (1996). “Serviceability reliability analysis of reinforced concrete structures.” J. Struct. Eng., 794–803.
Szerszen, M. M., Szwed, A., and Nowak, A. S. (2005). “Reliability analysis for eccentrically loaded columns.” ACI Struct. J., 102(5), 676–688.
Wang, V. Z., Mallett, M., and Priory, A. (2014). “Seismic fragility evaluation with incomplete structural appraisal data: An iterative statistical approach.” J. Struct. Eng., 04013048.
Wu, C. F. J. (1983). “On the convergence properties of the EM algorithm.” Ann. Stat., 11(1), 95–103.
Xu, Y. L., et al., eds. (2013). Structural health monitoring for infrastructure sustainability: Proceedings of the 6th international conference on structural health monitoring of intelligent infrastructure, Hong Kong, China, 9-11 December 2013, Hong Kong Polytechnic Univ., Hong Kong, China.
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© 2015 American Society of Civil Engineers.
History
Received: Nov 15, 2013
Accepted: Apr 27, 2015
Published online: Sep 25, 2015
Discussion open until: Feb 25, 2016
Published in print: Mar 1, 2016
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