Bayesian estimation of tension in bridge hangers using modal frequency measurements |
Papadimitriou, Costas
(University of Thessaly, Department of Mechanical Engineering)
Giakoumi, Konstantina (University of Thessaly, Department of Mechanical Engineering) Argyris, Costas (University of Thessaly, Department of Mechanical Engineering) Spyrou, Leonidas A. (Centre for Research and Technology Hellas (CERTH), Institute for Research and Technology) Panetsos, Panagiotis (Egnatia Odos S.A., Capital Maintenance Department) |
1 | Beck, J.L. and Katafygiotis, L.S. (1998), "Updating models and their uncertainties. I: Bayesian statistical framework", J. Eng. Mech. - ASCE, 124(4), 455-461. DOI |
2 | Beck, J.L. and Yuen, K.V. (2004), "Model selection using response measurements: Bayesian probabilistic approach", J. Eng. Mech. - ASCE, 130(2), 192-203. DOI |
3 | Belleri, A. and Moaveni, B. (2015), "Identification of tensile forces in tie rods with unknown boundary conditions", Proceedings of the 7th International Conference of Inteligent Infrastructure SHMII, July 1-3, 2015, Torino, Italy. |
4 | Bellino, A., Garibaldi, L., Fasana, A. and Marchesiello, S. (2011), "Tension estimation of cables with different boundary conditions by means of the added mass technique", International Conference of Surveilance 6, Oct. 25-26, 2011, University of Technology of Compiegne, France. |
5 | Bellino, A., Marchesiello, S., Fasana, A. and Garibaldi, L. (2010), "Cable tension estimation by means of vibration response and moving mass technique", Mecanique et Industries, 11, 505-512. DOI |
6 | Bokaian, A. (1990), "Natural frequencies of beams under tensile axial loads", J. Sound Vib., 142, 481-498. DOI |
7 | Ceballos, M.A. and Prato, C.A. (2008), "Determination of the axial force on stay cables accounting for their bending stiffness and rotational end restraints by free vibration tests", J. Sound Vib., 317, 127-141. DOI |
8 | Ching, J. and Chen, Y.C. (2007), "Transitional Markov chain Monte Carlo method for Bayesian model updating, model class selection, and model averaging", J. Eng. Mech. - ASCE, 133(7), 816-832. DOI |
9 | Ewins, D.J. (2000), Modal Testing: Theory, Practice and Application, Second edition, Research Studies Press Ltd., Baldock, England. |
10 | Fang, Z. and Wang, J.Q. (2012), "Practical formula for cable tension estimation by vibration method", J. Bridge Eng. - ASCE, 17(1), 161-164. DOI |
11 | Hadjidoukas, P.E., Angelikopoulos, P., Papadimitriou, C. and Koumoutsakos, P. (2015), " 4U: A high performance computing framework for Bayesian uncertainty quantification of complex models", J. Comput. Phys., 284(1), 1-21. DOI |
12 | Hansen, N., Muller, S.D. and Koumoutsakos, P. (2003), "Reducing the time complexity of the derandomized evolution strategy with covariance matrix adaptation (CMA-ES)", Evolutionary Comput., 11(1), 1-18. DOI |
13 | Heylen, W., Lammens, S. and Sas, P. (1995), Modal Analysis Theory and Testing, Department of Mechanical Engineering, Katholieke Universiteit Leuven, Leuven, Belgium. |
14 | Huang, Y.H., Fu, J.Y., Wang, R.H., Gan, Q. and Liu, A.R. (2015), "Unified practical formulas for vibration-based method of cable tension estimation", Adv. Struct. Eng., 18(3), 405-422. DOI |
15 | Humar, J.L. (2001), Dynamics of Structures, A.A. Balkema. |
16 | Kim, B.H. and Park, T. (2007), "Estimation of cable tension force using the frequency-based system identification method", J. Sound Vib., 304, 660-676. DOI |
17 | Nam, H. and Nghia, N.T. (2011), "Estimation of cable tension using measured natural frequencies", Procedia Eng., 14, 1510-1517. DOI |
18 | Ni, Y.Q., Ko, J.M. and Zheng, G. (2010), "Dynamic analysis of large diameter sagged cables taking into account flexural rigidity", J. Sound Vib., 257, 301-319. |
19 | Park, K.S., Seong, T.R. and Noh, M.H. (2015), "Feasibility study on tension estimation technique for hanger cables using the FE model-based system identification method", Hindawi Publishing Corporation, Mathematical Problems in Engineering, Volume 2015, Article ID 512858, 12 pages. |
20 | Ren, W.X., Chen, G. and Hu, W.H. (2005), "Empirical formulas to estimate cable tension by cable fundamental frequency", Struct. Eng. Mech., 20(3), 363-380. DOI |
21 | Simoen, E., Moaveni, B., Conte, J.L. and Lombaert, G. (2013), "Uncertainty quantification in the assessment of progressive damage in a 7-story full-scale building slice", J. Eng. Mech. - ASCE, 139(12), 1818-1830. DOI |
22 | Vanik, M.W., Beck, J.L. and Au, S.K. (2000), "Bayesian probabilistic approach to structural health monitoring", J. Eng. Mech. - ASCE, 126(7), 738-745. DOI |
23 | William, T.T. (1996), Theory of Vibration With Applications, CRC Press. |
24 | Yuen, K.V. (2010), Bayesian Methods for Structural Dynamics and Civil Engineering, Wiley. |
25 | Yuen, K.V. and Mu, H.Q. (2011), "Peak ground acceleration estimation by linear and nonlinear models with reduced order Monte Carlo simulation", Comput. - Aided Civil Infrastruct. Eng., 26(1), 30-47. |
26 | Lagomarsino, S. and Calderini, C. (2005), "The dynamical identification of the tensile force in ancient tie-rods", Eng. Struct., 27, 846-856. DOI |
27 | Yuen, K.V. and Mu, H.Q. (2015), "Real-time system identification: an algorithm for simultaneous model class selection and parametric identification", Comput. - Aided Civil Infrastruct. Eng., 30(10), 785-801. DOI |
28 | Zui, H., Shinke, T. and Namyuita, Y. (1996), "Practical formula for estimation of cable tension by vibration method", J. Struct. Eng. - ASCE, 122(6), 651-656. DOI |
29 | Barcilon, V. (1976), "Inverse problem for a vibrating beam", J. Appl. Math. Phys., 27, 347-358. DOI |
30 | Angelikopoulos, P., Papadimitriou, C. and Koumoutsakos, P. (2012), "Bayesian uncertainty quantification and propagation in molecular dynamics simulations: A high performance computing framework", J. Chem. Phys., 137(14), 455-461. |