Localization in Nonlinear Mistuned Systems with Cyclic Symmetry

W. Sextro, K. Popp, T. Krzyzynski, Nonlinear Dynamics 25 (2001) 207–220.

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Abstract
In forced systems with cyclic symmetry localization can occur due toparameter uncertainties. Often, Monte-Carlo simulations are used to findregions, where the system response is sensitive to parameteruncertainties. These simulations require a large computation time.Therefore, an approximate method to calculate the envelopes of thefrequency response functions is developed in this paper. An example of anonlinear system with cyclic symmetry is a bladed disk assembly withfriction dampers. Friction dampers can be installed underneath the bladeplatforms of turbine blades. Due to dry friction and the relative motionbetween blades and dampers, energy is dissipated, which results in areduction of blade vibration amplitudes. By optimizing the mass of thefriction dampers, the best damping effects are obtained, which lead toan increase in the reliability of the turbine. In this paper, thecalculated response of a mistuned bladed disk assembly with frictiondampers is discussed. An approximate method is developed to calculatethe envelopes of the corresponding frequency response function forstatistically varying eigenfrequencies of the blades. Regions wherelocalization can occur with a high probability, are calculated by thismethod.
Publishing Year
Journal Title
Nonlinear Dynamics
Volume
25
Issue
1-3
Page
207-220
ISSN
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Sextro W, Popp K, Krzyzynski T. Localization in Nonlinear Mistuned Systems with Cyclic Symmetry. Nonlinear Dynamics. 2001;25(1-3):207-220. doi:10.1023/A:1012915002568
Sextro, W., Popp, K., & Krzyzynski, T. (2001). Localization in Nonlinear Mistuned Systems with Cyclic Symmetry. Nonlinear Dynamics, 25(1–3), 207–220. https://doi.org/10.1023/A:1012915002568
@article{Sextro_Popp_Krzyzynski_2001, title={Localization in Nonlinear Mistuned Systems with Cyclic Symmetry}, volume={25}, DOI={10.1023/A:1012915002568}, number={1–3}, journal={Nonlinear Dynamics}, publisher={Kluwer Academic Publishers}, author={Sextro, Walter and Popp, Karl and Krzyzynski, Tomasz}, year={2001}, pages={207–220} }
Sextro, Walter, Karl Popp, and Tomasz Krzyzynski. “Localization in Nonlinear Mistuned Systems with Cyclic Symmetry.” Nonlinear Dynamics 25, no. 1–3 (2001): 207–20. https://doi.org/10.1023/A:1012915002568.
W. Sextro, K. Popp, and T. Krzyzynski, “Localization in Nonlinear Mistuned Systems with Cyclic Symmetry,” Nonlinear Dynamics, vol. 25, no. 1–3, pp. 207–220, 2001.
Sextro, Walter, et al. “Localization in Nonlinear Mistuned Systems with Cyclic Symmetry.” Nonlinear Dynamics, vol. 25, no. 1–3, Kluwer Academic Publishers, 2001, pp. 207–20, doi:10.1023/A:1012915002568.

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