Damping estimation of a double-layer grid by output-only modal identification

Document Type : Article

Authors

1 Faculty of Civil Engineering, Babol Noshirvani University of Technology, Babol, P.O. Box 484, Iran

2 Department of Civil Engineering, Payame Noor University (PNU), Tehran, P.O. Box 19395-3697, Iran

Abstract

Modal parameters of large civil engineering structures such as modal damping ratios (MDRs) are determined mainly by output-only modal identification. In this paper, MDRs of a double layer grid were obtained using output-only modal identification. For this purpose, a double layer grid constructed from ball-joint system was tested. Doing some random tapping on the structure, the acceleration response in multiple locations was measured. The acquired data was processed using output-only modal identification to arrive at MDRs. The MDRs corresponding to the first eight modes of the grid were extracted by five output-only modal identification techniques; namely enhanced frequency domain decomposition (EFDD), curve-fit frequency domain decomposition (CFDD) and three different methods of data-driven stochastic subspace identification. To determine the appropriate model order used in SSI methods, a sensitivity analysis was carried out and the resulting number of order was 200. The proper frequency resolution of 1600 was also determined to estimate the MDRs of the grid by EFDD and CFDD. The results showed that the MDRs of the grid, obtained from different methods, are in good agreement with each other. The grid has very low MDRs, as the MDRs of the modes measured from different methods varied from 0.06% to 0.11%.

Keywords


References:
[1]      Davoodi, M.R.,  Amiri, J.V.,  Gholampour, S.,  Mostafavian, S.A.  "Determination of nonlinear behavior of a ball joint system by model updating", J. Constr. Steel Res. 71, pp. 52–62 (2012).
[2]      Pashaei, M.H., Davoodi, M.R.,  Nooshin, H. " Effects of Tightness of Bolts on the Damping of a MERO-Type Double Layer Grid", Int. J. Sp. Struct. 21, pp. 103–110 (2006).
[3]    Naderpour, H., Barros, R.C., Khatami, S.M. "A new model for calculating impact force and energy dissipation based on the CR-factor and impact velocity", Scientia Iranica A, 22(1), pp. 59-68 (2015).
[4]      Chopra, A.K.  "Dynamics of structures : theory and applications to earthquake engineering", Prentice-hall International Series in Civil Engineering and Engineering Mechanics, 4th Edn., Pearson, New Jersey, USA  (2011).
[5]      Bajric, A.,  Georgakis, C.T.,  Brincker, R.  "Evaluation of damping using time domain OMA techniques", Proc. SEM Fall Conf. Int. Symp. Intensive Load. Its Eff., Beijing, China., pp. 1–11 (2014).
[6]      Ren, W.-X.,  Peng, X.-L.,  Lin, Y.-Q.  "Experimental and analytical studies on dynamic characteristics of a large span cable-stayed bridge", Eng. Struct., 27, pp. 535–548 (2005).
[7]      Ren, W.-X., Zhao, T., Harik, I.E.  "Experimental and Analytical Modal Analysis of Steel Arch Bridge", J. Struct. Eng., 130(7),  pp. 1022–1031 (2004).
[8]      Rainieri, C.,  Fabbrocino, G.,  Cosenza, E.  "Some remarks on experimental estimation of damping for seismic design of civil constructions", Shock Vib., 17, pp. 383–395 (2010).
[9]      Bajric, A.,  Brincker, R., Thons, S.  "Evaluation of Damping Estimates in the Presence of Closely Spaced Modes using Operational Modal Analysis Techniques", 6th International Operational Modal Analysis Conference, Gijón, Spain (2015).
[10]    Gomaa, F.,  Tayel, M.,  Kandil, K., Hekal, G.  "Validation Study Illustrates the Accuracy of Operational Modal Analysis Identification", Int. J. Emerg. Technol. Adv. Eng., 2, pp. 658–667 (2012).
[11]    Bajrić, A.,  Høgsberg, J.,  Rüdinger, F.  "Evaluation of damping estimates by automated Operational Modal Analysis for offshore wind turbine tower vibrations", Renew. Energy.,116, pp.153–163 (2018).
[12]    Kudu, F.N., Uçak, Ş.,  Osmancikli, G.,  Türker, T.,  Bayraktar, A.  "Estimation of damping ratios of steel structures by Operational Modal Analysis method", J. Constr. Steel Res., 112, pp. 61–68 (2015).
[13]    Magalhães, F.,  Cunha, Á.,  Caetano, E., Brincker, R. "Damping estimation using free decays and ambient vibration tests", Mech. Syst. Signal Process., 24, pp.1274–1290 (2010).
[14]    Pridham, B.A.  and Wilson, J.C. "A study of damping errors in correlation-driven stochastic realizations using short data sets", Probabilistic Eng. Mech., 18, pp. 61–77 (2003).
[15]    Chauhan, S.  "Parameter Estimation and Signal Processing Techniques for Operational Modal Analysis", PhD Thesis. University of Cincinnati, USA (2008).
[16]    Avitabile, P.  "MODAL SPACE: Someone Told me that Operating Modal Analysis Produces Better Results and that Damping is Much More Realistic", Exp. Tech., 30, pp. 25–26 (2006).
[17]    Orlowitz, E. and  Brandt, A.  "Comparison of experimental and operational modal analysis on a laboratory test plate", Measurement., 102, pp. 121–130 (2017).
[18]    Mostafavian, S.A.,  Davoodi, M.R.,  Vaseghi Amiri, J.  "Ball joint behavior in a double layer grid by dynamic model updating", J. Constr. Steel Res., 76, pp. 28–38 (2012).
[19]    R. Brincker, C. Ventura, Introduction to operational modal analysis, 1st ed., John Wiley & Sons, New Jersey, USA (2015).
[20]    ARTeMIS Modal 4, Issued by Structural Vibration Solutions AVS. NOVI Science Park, Niles Jernes Vej 10, DK 9220 Aalborg East, Denmark.
[21]    Van Overschee, P. and  De Moor, B.L. "Subspace Identification for Linear Systems: Theory, Implementation, Applications", 1st Edn., Springer Science & Business Media, Berlin, Germany (2012).
[22]   Rezvani, K., Maia, N.M.M, Sabour, M.H. "A comparison of some methods for structural damage detection", Scientia Iranica B25(3), 1312-1322 (2018).
[23]    Peeters, B. and  De Roeck, G. "Stochastic System Identification for Operational Modal Analysis: A Review", J. Dyn. Syst. Meas. Control., 123, pp. 659 (2001).
[24]    Brincker, R. and Andersen, P. "Understanding Stochastic Subspace Identification", Proc. 24th IMAC, St. Louis, Missouri, USA, pp. 279–311 (2006).
[25]    Rainieri, C. and Fabbrocino, G.  "Influence of model order and number of block rows on accuracy and precision of modal parameter estimates in stochastic subspace identification", Int. J. Lifecycle Perform. Eng., 1, pp. 317 (2014).
[26]    Reynders, E. and  De Roeck, G.  "Reference-based combined deterministic-stochastic subspace identification for experimental and operational modal analysis", Mech. Syst. Signal Process., 22, pp. 617–637 (2008).
[27]    Brincker, R., Ventura, C.E., Andersen, P.  "Damping estimation by frequency domain decomposition", 19th International Modal Analysis Conference,  Orlando, Fl, USA, pp. 698–703 (2001).
[28]  Wang, T., Celik, O., Catbas, F. N., Zhang, L. M. "A frequency and spatial domain decomposition method for operational strain modal analysis and its application", Engineering Structures, 114, pp. 104-112 (2016).
[29]    Tamura, Y.,  Yoshida, A.,  Zhang, L.,  Ito, T., Nakata, S.,  Sato, K.  "Examples of modal identification of structures in Japan by FDD and MRD techniques", Proc. 1st Int. Oper. Modal Anal. Conf. IOMAC, Copenhagen, Denmark (2005).
[30]      Jacobsen, N.J.,  Andersen, P.,  Brincker, R. "Applications of frequency domain curve-          fitting in the EFDD technique", In Proceedings IMAC XXVI Conference,  Orlando, FL, USA (2008).