Abstract
The steady-state response to periodic excitation of multi-degree of freedom (DOF) structural systems with several elastic/perfectly plastic attached dry friction dampers is studied. The force transmitted by a friction damper is deduced in the time domain from the displacement and velocity of the corresponding DOF to which the friction damper is attached. The convergence of the method is ensured by a modified Broyden’s algorithm, which is used to solve iteratively the set of multi-harmonic nonlinear equations in the frequency domain. The solution algorithm is thus hybrid in the frequency and time domains. The method can handle both friction dampers that are attached to ground and the general case of dampers that connect two DOF’s of the structure. Results are obtained for both tuned and mistuned configurations of large-scale models of dry-friction damped bladed disks used in turbomachinery applications, subject to various traveling wave “engine order” excitations, for a variety of structural and friction parameters. Interesting, complex features of the nonlinear response are revealed, such as: motions for several stick-slip phases per period; localized motions for mistuned systems, which feature mostly sticking motion at most blades and mostly slipping motion at a few blades; subresonances; effects of higher harmonics.
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References
Allgower, E. and Georg, K., 1990, Numerical Continuation Methods, Springer-Verlag, Berlin.
Berthillier, M., Dupont, C., and Mondai, R., 1998, “Blades Forced Response Analysis With Friction Dampers,” Journal of Vibration and Acoustics, Vol. 120, pp. 468–474.
Bobylev, N., Burman, Y. M., and Korovin, S., 1994, Approximation Procedure in Nonlinear Oscillation Theory, Walter de Gruyter, Berlin.
Ferri, A., 1995, “Friction Damping and Isolation Systems,” Journal of Engineering for Gas Turbines and Power, Vol. 117, pp. 196–206, Special 50th Anniversary Design Issue.
Ferri, A. and Dowell, E., 1985, “The behavior of a linear, damped modal system with a non-linear spring-mass-dry friction damper system attached, part II,” Journal of Sound and Vibration, Vol. 101, No. 1, pp. 55–74.
Guillen, J. and Pierre, C., 1996, “Analysis of the Forced Response of Dry-Friction Damped Structural Systems Using an Efficient Hybrid Frequency-Time Method,” Proceedings of the International Mechanical Engineering Congress and Exposition, Atlanta, Georgia, November 1996, volume DE-91, pages 41–50.
Ling, F. and Wu, X., 1987, “Fast Galerkin Method and its Application to Determine Periodic Solutions of Nonlinear Oscillations,” International Journal of Non-Linear Mechanics, Vol. 22, No. 2, pp. 89–98.
Pierre, C., Ferri, A., and Dowell, E., 1985, “Multi-Harmonic Analysis of Dry Friction Damped Systems Using an Incremental Harmonic Balance Method,” Journal of Applied Mechanics, Vol. 51, No. 4, pp. 958–964.
Sanliturk, K. and Ewins, D., 1996, “Modelling Two-Dimensional Friction Contact and its Application Using Harmonic Balance Method,” Journal of Sound and Vibration, Vol. 193, No. 2, pp. 511–523.
Sanliturk, K., Imregun, M., and Ewins, D., 1997, “Harmonic Balance Vibration Analysis of Turbine Blades With Friction Dampers,” Journal of Vibration and Acoustics, Vol. 119, pp. 96–103.
Shiau, T., Rao, J., Yu, Y., and Choi, S., 1998, “Steady-State Response and Stability of Rotating Composite Blades with Frictional Damping,” Journal of Engineering for Gas Turbines and Power, Vol. 120, pp. 131–139.
Shiau, T. and Yu, Y., 1996, “Frictional Damping on the Dynamic Behaviour of Composite Blades,” Proceedings of the 6th International symposium on Transport Phenomena and Dynamics of Rotating Machinery, volume 1, pages 262–271.
Sinha, A. and Griffin, J., 1983, “Friction damping of Flutter in Gas Turbine Enginre Airfoils,” Journal of Aircraft, Vol. 20, No. 4, pp. 372–376.
Wang, J. and Chen, W., 1993, “Investigation of the Vibration of a Blade with Friction Damper by HBM,” Journal of Engineering for Gas Turbines and Power, Vol. 115, pp. 294–299.
Wei, S.-T. and Pierre, C., 1989, “Effects of Dry Friction Damping on the Occurence of Localized Forced Vibrations in Nearly Cyclic Structures,” Journal of Sound and Vibration, Vol. 129, pp. 397–416.
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© 1999 Springer Science+Business Media Dordrecht
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Guillen, J., Pierre, C. (1999). An Efficient, Hybrid, Frequency-Time Domain Method for The Dynamics of Large-Scale Dry-Friction Damped Structural Systems.. In: Pfeiffer, F., Glocker, C. (eds) IUTAM Symposium on Unilateral Multibody Contacts. Solid Mechanics and its Applications, vol 72. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-4275-5_17
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DOI: https://doi.org/10.1007/978-94-011-4275-5_17
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