journal article·2021-12-14Open access

Tracking of Stiffness Variation in Structural Members Using Input Error Function Observers

Prasad Dharap, Satish Nagarajaiah

Applied Sciences· Volume 11· Issue 24

Abstract

This study evaluates input error function observers for tracking of stiffness variation in real-time. The input error function is an Analytical Redundancy (AR)-based diagnosis method and necessitates a mathematical model of the system and system identification techniques. In practice, mathematical models used during numerical simulations differ from the actual status of the structure, and thus, accurate mathematical models are rarely available for reference. Noise is an unwanted signal in the input–output measurements but unavoidable in real-world applications (as in long span bridge trusses) and hard to imitate during numerical simulations. Simulation data from the truss system clearly indicates the effectiveness of the proposed structural damage detection method for estimating the severity of the damage. Optimization of the input error function can further automate the stiffness estimation in structural members and address critical aspects such as system uncertainties and the presence of noise in input–output measurements. Stiffness tracking in one of the planar truss members indicates the potential of optimization of the input error function for online structural health monitoring and implementing condition-based maintenance.
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Research context

OpenAlex topics: Structural Health Monitoring Techniques · Concrete Corrosion and Durability · Probabilistic and Robust Engineering Design

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

Affiliations

Complementary Visiting Scholar, Department of Civil and Environmental Engineering, Rice University, Houston, TX 77005, USA

Professor, Department of Civil and Environmental Engineering, Department of Mechanical Engineering, Department of Material Science and Nano Engineering, Rice University, Houston, TX 77005, USA

Funding

National Aeronautics and Space Administration

References (44)

Show source-provided references
1. Vibration-based structural damage identification10.1098/rsta.2000.0717 ↗
2. Farrar, C.R., and Worden, K. (2013). Structural Health Monitoring: A Machine Learning Perspective, Wiley.10.1002/9781118443118 ↗
3. 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. New Mexico, Los-alamos National Laboratory Report.10.2172/249299 ↗
4. Structural monitoring and identification of civil infrastructure in the United States
5. Detection of cracks in structures using modal test data10.1016/0013-7944(92)90227-6 ↗
6. Moughty, J.J., and Casas, J.R. (2017). A state of the art review of modal-based damage detection in bridges: Development, challenges and solutions. Appl. Sci., 7.10.3390/app7050510 ↗
7. Model updating in structural dynamics: A Survey10.1006/jsvi.1993.1340 ↗
8. Structural damage assessment using a generalized minimum rank perturbation theory10.2514/3.12061 ↗
9. On-orbit damage assessment for large space structures10.2514/3.10019 ↗
10. Stiffness matrix adjustment using mode data10.2514/3.9103 ↗
11. Park, J. (2020). Special feature vibration-based structural health monitoring. Appl. Sci., 10.10.3390/app10155139 ↗
12. Finite element model updating and structural damage identification using OMAX data10.1016/j.ymssp.2010.03.014 ↗
13. Structural damage identification of the highway bridge Z24 by FE model updating10.1016/j.jsv.2003.10.041 ↗
14. A damage identification method for connection of adjacent box-beam bridges using vehicle-bridge interaction analysis and model updating10.1016/j.engstruct.2020.111551 ↗
15. Structural model updating using adaptive multi-response Gaussian process meta-modeling10.1016/j.ymssp.2020.107121 ↗
16. Fault diagnosis in dynamic systems using analytical and knowledge-based redundancy- a survey and some new results10.1016/0005-1098(90)90018-D ↗
17. Phan, M.Q., Lim, R.K., and Longman, R.W. (2021, January 13). Unifying Input-Output and State Space Perspectives of Predictive Control. Department of Mechanical and Aerospace Engineering Technical Report No 3044; Princeton University. Available online: http://www.dartmouth.edu/~mqphan/Resources/TP3044.pdf.
18. Actuator failure detection through interaction matrix formulation10.2514/1.11932 ↗
19. Beard, R.V. (1971). Failure Accommodation in Linear Systems through Self Reorganization. [Ph.D. Thesis, Massachusetts Institute of Technology].
20. Jones, H.L. (1973). Failure detection in linear systems. [Ph.D. Dissertation, Massachusetts Institute of Technology].
21. Kranock, S.J. (2000). Real-Time Structural Damage Detection Using Model-Based Observers. [Ph.D. Thesis, University of Colorado].
22. A time domain method for the localization of cracks in rotors10.1006/jsvi.1996.0403 ↗
23. Identification of physical parameters using an instrumental variable technique10.1006/mssp.1996.0088 ↗
24. Structural health monitoring using ARMarkov observers10.1177/1045389X06058793 ↗
25. A hybrid optimization algorithm with Bayesian inference for probabilistic model updating10.1111/mice.12142 ↗
26. Bayesian characterization of buildings using seismic interferometry on ambient vibrations10.1016/j.ymssp.2016.08.038 ↗
27. Highly efficient probabilistic finite element model updating using intelligent inference with incomplete modal information10.1115/1.4033965 ↗
28. Helical Microtubules of Graphite Carbon10.1038/354056a0 ↗
29. The influence of Carbon Nanotube Aspect Ratio on Thermal Conductivity Enhancement in Nanotube-Polymer Composite10.1115/1.4025047 ↗
30. Piezoresistive strain sensors made from carbon nanotube based polymer nanocomposites
31. Effects of carbon nanotubes aspect ratio on the qualitative and quantitative aspects of frequency response of electrical conductivity and dielectric permittivity in the carbon nanotube/polymer composites10.1016/j.carbon.2012.10.068 ↗
32. Structural health monitoring of glass fiber reinforced composites using embedded carbon nanotube (CNT) fibers10.1016/j.compscitech.2009.10.017 ↗
33. On the aspect ratio effect of multi-walled carbon nanotube reinforcements on the mechanical properties of cementitious nanocomposites10.1016/j.conbuildmat.2012.04.086 ↗
34. Loh, K., and Nagarajaiah, S. (2016). Innovative Developments of Advanced Multifunctional Nanocomposites in Civil. and Structural Engineering, Elsevier Science and Technology.
35. Quantitative methods for structural health management using in situ acoustic emission monitoring10.1016/j.ijfatigue.2012.12.001 ↗
36. Fault identification using piezoelectric impedence measurement and model-based intelligent inference with pre-screening10.1088/1361-665X/aa5d41 ↗
37. Structural health monitoring of bridges with piezoelectric AE sensors10.1016/j.engfailanal.2015.03.009 ↗
38. Piezoelectric wafer embedded active sensors for aging aircraft structural health monitoring10.1177/147592170200100104 ↗
39. Strain paint: Noncontact strain measurement using single-walled carbon nanotube composite coatings10.1021/nl301008m ↗
40. Experimental validation of cost-effective vision-based structural health monitoring10.1016/j.ymssp.2016.11.021 ↗
41. Vision-based multipoint displacement measurement for structural health monitoring10.1002/stc.1819 ↗
42. Camera-based vibration measurement of the world war I memorial bridge in Portsmouth, New Hampshire10.1061/(ASCE)ST.1943-541X.0002203 ↗
43. Toh, G., and Park, J. (2020). Review of vibration-based structural health monitoring using deep learning. Appl. Sci., 10.10.3390/app10051680 ↗
44. Real-time structural damage monitoring by input error function10.2514/1.14008 ↗