Research

Structural System ID & Model Updating

Field dynamic testing on an as-built structure usually provides modal properties that are different from these generated by a finite element (FE) model. To update the FE model parameters, optimization problems can be formulated to minimize the difference between experimental and simulated modal properties. Various FE model parameters can be selected as optimization variables for model updating, such as the elastic moduli of structural members, as well as stiffness values of support springs.

Selected Publications

  1. Otsuki, Y., and Wang, Y. (2025). “Recursive and batch Bayesian estimation of exponential non-viscous damping systems“, Mechanical Systems and Signal Processing, 222: 111703.

  2. Otsuki, Y., and Wang, Y. (2024). “Finite element model updating of non-proportional and exponential non-viscous damping systems using complex eigenvalues and eigenvectors“, Journal of Sound and Vibration, 589: 118589.

  3. Schreiber, T. E., Otsuki, Y., and Wang, Y. (2023). “Finite element model updating using primal-relaxed dual global optimization algorithm,” Proceedings of the 14th International Workshop on Structural Health Monitoring (IWSHM), Stanford, CA, USA, September 12-14, 2023.

  4. Li, D., and Wang, Y. (2022). “Constrained unscented Kalman filter for parameter identification of structural systems“, Structural Control and Health Monitoring, 29(4): e2908

  5. Otsuki, Y., Lander, P., Dong, X., and Wang, Y. (2022). “Formulation and application of SMU – an open-source MATLAB package for structural model updating“, Advances in Structural Engineering, 25(4): 698-715 

  6. Otsuki, Y., Li, D., Dey, S. S., Kurata, M., and Wang, Y. (2021). “Finite element model updating of an 18-story structure using branch-and-bound algorithm with epsilon-constraint“, Journal of Civil Structural Health Monitoring, 11(3), 575-592. 

  7. Otsuki, Y., Li, D., Dong, X., and Wang, Y. (2021). “SMU – an open-source MATLAB package for structural model updating.” Proceedings of the 10th International Conference on Bridge Maintenance, Safety and Management (IABMAS), Sapporo, Japan, April 11-18, 2021.

  8. Wang, Z., and Wang, Y. (2021). “Bridge weigh-in-motion through bidirectional Recurrent Neural Network with long short-term memory and attention mechanism“, Smart Structures and Systems, 27(2): 241-256. 

  9. Li, D., and Wang, Y. (2021). “Parameter identification of a differentiable Bouc-Wen model using constrained extended Kalman filter,” Structural Health Monitoring, 20(1): 360-378.

  10. Li, D., and Wang, Y. (2020). “Modal dynamic residual-based model updating through regularized semidefinite programming with facial reduction,” Mechanical Systems and Signal Processing, 143: 106792.

  11. Lander, P., Wang, Y., and Dodson, J. (2020). “Impact load identification for the DROPBEAR setup using a finite input covariance (FIC) estimator.” Proceedings of the 38th International Modal Analysis Conference (IMAC XXXVIII), Houston, TX, USA, February 10-13, 2020.

  12. Wang, Y., Dong, X., and Li, D. (2019). “A non-convexity study in finite element model updating.” Proceedings of the 9th International Conference on Structural Health Monitoring of Intelligent Infrastructure (SHMII-9), St. Louis, MO, USA, August 4 – 7, 2019.

  13. Liu, X., Dong, X., Wang, Y., Muhanna, R. L., and Fedele, F. (2019). “Experimental model updating of a full-scale concrete frame structure.” Proceedings of the 14th International Workshop on Advanced Smart Materials and Smart Structures Technologies (ANCRiSST), Rome, Italy, July 18-21, 2019.

  14. Dong, X., and Wang, Y. (2019). “Finite element model updating of a steel pedestrian bridge model.” Proceedings of 2019 ASCE International Conference on Computing in Civil Engineering (i3CE), Atlanta, GA, USA, June 17-19, 2019.

  15. Liu, X., Wang, Y., (2019). “Input estimation of a full-scale concrete frame structure with experimental measurements.” Proceedings of the 37th International Modal Analysis Conference (IMAC XXXVII), Orlando, FL, USA, January 28-31, 2019.

  16. Dey S. S., Santana A., and Wang, Y. (2019). “New SOCP relaxation and branching rule for bipartite bilinear programs,” Optimization and Engineering, 20(2): 307-336.

  17. Li, D., and Wang, Y. (2019). “Sparse sum-of-squares optimization for model updating through minimization of modal dynamic residuals,” ASME Journal of Nondestructive Evaluation, Diagnostics and Prognostics of Engineering Systems, 2(1): 011005.

  18. Li, D., Dong, X., and Wang, Y. (2018). “Structural system identification using sum of squares (SOS) optimisation for minimising modal dynamic residuals.” Proceeding of the 9th European Workshop on Structural Health Monitoring (EWSHM), Manchester, UK, July 10-13, 2018.

  19. Li, D., Dong, X., and Wang, Y. (2018). “Model updating using sum of squares (SOS) optimization to minimize modal dynamic residuals,” Structural Control and Health Monitoring, 25(12): e2263.

  20. Dong, X., and Wang, Y. (2018). “Modal property difference formulations and optimization algorithm comparison towards FE model updating.” Proceedings of SPIE, Smart Structures and Materials + Nondestructive Evaluation and Health Monitoring Denver, CO, USA, March 4-8, 2018.

  21. Hong, Y., Pu, Q., Wang, Y., Chen, L., Gou, H., and Li, X. (2018). “Model-updating with experimental frequency response function considering general damping.” Advances in Structural Engineering, 21(1): 82-92.

  22. Dong, X., and Wang, Y. (2016). “A comparative study of frequency-domain finite element updating approaches using different optimization procedures.” Proceeding of the 8th European Workshop on Structural Health Monitoring (EWSHM), Bilbao, Spain, July 5-8, 2016.

  23. Hong, Y., Liu, X., Dong, X., Wang, Y., and Pu, Q. (2016). “Experimental model updating using frequency response functions.” Proceedings of SPIE, Sensors and Smart Structures Technologies for Civil, Mechanical, and Aerospace Systems, 9803, Las Vegas, NV, USA, March 20-24, 2016.

  24. Zhu, D., Dong, X., and Wang, Y. (2016). “Substructure stiffness and mass updating through minimization of modal dynamic residuals.” ASCE Journal of Engineering Mechanics, 142(5): 04016013.

  25. Zhu, D., Yi, X., and Wang, Y. (2016). “A local excitation and measurement approach for decentralized damage detection using transmissibility functions,” Structural Control and Health Monitoring, 23(3): 487-502.

  26. Feng, L., Yi, X., Zhu, D., Xie, X.Y., and Wang, Y. (2015). “Damage detection of metro tunnel structure through transmissibility function and cross correlation analysis using local excitation and measurement,” Mechanical Systems and Signal Processing, 60: 59-74.

  27. Dong, X., Zhu, D., and Wang, Y. (2015). “Substructure model updating with noisy measurements through a regularized modal dynamic residual approach.” Proceedings of the 7th International Conference on Structural Health Monitoring of Intelligent Infrastructure (SHMII), Torino, Italy, July 1-3, 2015.

  28. Dong, X., Zhu, D., and Wang, Y. (2015). “Substructure location and size effects on decentralized model updating.” Proceedings of SPIE, Sensors and Smart Structures Technologies for Civil, Mechanical, and Aerospace Systems, 9435, San Diego, CA, USA, March 8-12, 2015.

  29. Zhu, D., Dong, X., and Wang, Y. (2014). “Substructure finite element model updating of a space frame structure by minimization of modal dynamic residual.” Proceedings of the 6th World Conference on Structural Control and Monitoring (6WCSCM), Barcelona, Spain, July 15-17, 2014.

  30. Zhu, D., Dong, X., and Wang, Y. (2014). “Substructure model updating through iterative minimization of modal dynamic residual,” Proceedings of SPIE, Nondestructive Characterization for Composite Materials, Aerospace Engineering, Civil Infrastructure, and Homeland Security, 9063, San Diego, CA, USA, March 10-14, 2014.

  31. Zhu, D., Dong, X., Wang, Y. (2013). “Substructure model updating through modal dynamic residual approach,” Proceedings of the 9th International Workshop on Structural Health Monitoring (IWSHM), Los Angeles, CA, USA, June 23-25, 2013.

  32. Zhu, D., Dong, X., Wang, Y. (2013). “An iterative convex optimization procedure for structural system identification,” Proceeding of the ASCE 2013 International Workshop on Computing in Civil Engineering (IWCCE), Los Angeles, CA, USA, June 23-25, 2013.

  33. Zhu, D., Dong, X., Wang, Y. (2013). “A comparative study on modal-based finite element model updating approaches using noisy measurements,” Proceeding of the 11th International Conference on Structural Safety & Reliability (ICOSSAR), New York, NY, USA, June 16-20, 2013.

  34. Zhu, D., Wang, Y., (2012). “Substructure model updating through iterative convex optimization,” Proceeding of the ASME 2012 Conference on Smart Materials, Adaptive Structures and Intelligent Systems (SMASIS 2012), Stone Mountain, GA, USA, September 19-21, 2012.

  35. Zhu, D., Yi, X. and Wang, Y. (2011). “Sensitivity analysis of transmissibility functions for structural damage detection,” Proceedings of SPIE, Nondestructive Characterization for Composite Materials, Aerospace Engineering, Civil Infrastructure, and Homeland Security V, 7983: San Diego, CA, March 6 – 10, 2011.