Abstract
Identification of modal parameters, when a structure is under operational conditions is termed Operational Modal Analysis (OMA). Current OMA techniques are based on the assumption of linear time-invariant systems, and thus have limited applicability when applied to structures known to violate these assumptions. The present study investigates how the Random Decrement (RD) technique can improve robustness of OMA methods when friction-induced nonlinear damping is present in a system. This is done by estimating the amplitude dependent damping. A friction mechanism is introduced in a model of a structure, and by applying the RD technique at different amplitudes of simulated responses, RD signatures are produced, that represent the system vibrating with these amplitude levels. This allows the modal parameters to be estimated based on RD signatures computed with each amplitude level, using time domain parameter estimation methods, and the amplitude dependency of the damping is identified.
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References
Cole, H.A.: On-the-line analysis of random vibrations. In: AIAA/ASME 9th Conference on Structural Dynamics Materials. Palm Springs, USA (1968)
Cole, H.A.: Failure detection of a space shuttle wing flutter by random decrement. In: NASA, TMX-62,041 (1971)
Cole, H.A.: On-line failure detection and damping measurement of space structures by random decrement signatures. NASA CR-2205 (1973)
Brincker, R., Ventura, C.: Introduction to Operational Modal Analysis. Wiley, London (2015)
Jeary, A.P.: Establishing non-linear damping characteristics of structures from non-stationary response time-histories. Struct. Eng. 70, 61–66 (1992)
Tamura, Y., Suganuma, S.Y.: Evaluation of amplitude-dependent damping and natural frequency of buildings during strong winds. J. Wind Eng. Ind. Aerodyn. 59(2), 115–130 (1996)
Bajrić, A., Høgsberg, J.: Estimation of hysteretic damping of structures by stochastic subspace identification. Mech. Syst. Signal Process. 105, 36–50 (2018)
Singiresu, S.R.: Mechanical Vibrations. Prentice Hall, Upper Saddle River (2011)
Asmussen, J.C.: Modal analysis based on the random decrement technique: application to civil engineering structures. PhD Thesis, University of Aalborg, 1997
Ibrahim, S.R., Mikulcik, E.C.: A method for the direct identification of vibration parameter from the free responses. Shock Vib. Bull. 47(4), 183–198 (1977)
Randall J. Allemang and David L. Brown. Experimental modal analysis and dynamic component synthesis. Modal Parameter estimation, vol. 3. Technical report, University of Cincinnati, Department of Mechanical and Industrial Engineering, 1987
Brandt, A.: ABRAVIBE–A MATLAB toolbox for noise and vibration analysis and teaching (2018)
Chopra, A.K.: Dynamics of Structures. Pearson Education, London (2012)
O’Callahan, J.: System equivalent reduction and expansion process. In: Proceedings of the 7th International Modal analysis Conference on Society of Experimental Mechanics, pp. 29–37 (1989)
Lu, L.Y., Chung, L.L., Wu, L.Y., Lin, G.L.: Dynamic analysis of structures with friction devices using discrete-time state-space formulation. Comput. Struct. 84(15–16), 1049–1071 (2006)
Brincker, R., Demosthenous, M., Manos, G.C.: Estimation of the coefficient of restitution of rocking systems by the random decrement technique. In: Proceedings of the 12th International Conference on Modal Analysis (1994)
Orlowitz, E., Brandt, A.: Influence of noise in correlation function estimates for operational modal analysis. In: Topics in Modal Analysis & Testing, vol. 9, pp. 55–64. Springer, Berlin (2019)
Acknowledgement
The authors acknowledge the funding received from Centre for Oil and Gas – DTU/Danish Hydrocarbon Research and Technology Centre (DHRTC).
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Vesterholm, K.K., Friis, T., Katsanos, E., Brincker, R., Brandt, A. (2020). Output-Only Estimation of Amplitude Dependent Friction-Induced Damping. In: Pakzad, S. (eds) Dynamics of Civil Structures, Volume 2. Conference Proceedings of the Society for Experimental Mechanics Series. Springer, Cham. https://doi.org/10.1007/978-3-030-12115-0_3
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DOI: https://doi.org/10.1007/978-3-030-12115-0_3
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