---
_id: '8924'
abstract:
- lang: eng
  text: 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.
author:
- first_name: Walter
  full_name: Sextro, Walter
  id: '21220'
  last_name: Sextro
- first_name: Karl
  full_name: Popp, Karl
  last_name: Popp
- first_name: Tomasz
  full_name: Krzyzynski, Tomasz
  last_name: Krzyzynski
citation:
  ama: Sextro W, Popp K, Krzyzynski T. Localization in Nonlinear Mistuned Systems
    with Cyclic Symmetry. <i>Nonlinear Dynamics</i>. 2001;25(1-3):207-220. doi:<a
    href="https://doi.org/10.1023/A:1012915002568">10.1023/A:1012915002568</a>
  apa: Sextro, W., Popp, K., &#38; Krzyzynski, T. (2001). Localization in Nonlinear
    Mistuned Systems with Cyclic Symmetry. <i>Nonlinear Dynamics</i>, <i>25</i>(1–3),
    207–220. <a href="https://doi.org/10.1023/A:1012915002568">https://doi.org/10.1023/A:1012915002568</a>
  bibtex: '@article{Sextro_Popp_Krzyzynski_2001, title={Localization in Nonlinear
    Mistuned Systems with Cyclic Symmetry}, volume={25}, DOI={<a href="https://doi.org/10.1023/A:1012915002568">10.1023/A:1012915002568</a>},
    number={1–3}, journal={Nonlinear Dynamics}, publisher={Kluwer Academic Publishers},
    author={Sextro, Walter and Popp, Karl and Krzyzynski, Tomasz}, year={2001}, pages={207–220}
    }'
  chicago: 'Sextro, Walter, Karl Popp, and Tomasz Krzyzynski. “Localization in Nonlinear
    Mistuned Systems with Cyclic Symmetry.” <i>Nonlinear Dynamics</i> 25, no. 1–3
    (2001): 207–20. <a href="https://doi.org/10.1023/A:1012915002568">https://doi.org/10.1023/A:1012915002568</a>.'
  ieee: W. Sextro, K. Popp, and T. Krzyzynski, “Localization in Nonlinear Mistuned
    Systems with Cyclic Symmetry,” <i>Nonlinear Dynamics</i>, vol. 25, no. 1–3, pp.
    207–220, 2001.
  mla: Sextro, Walter, et al. “Localization in Nonlinear Mistuned Systems with Cyclic
    Symmetry.” <i>Nonlinear Dynamics</i>, vol. 25, no. 1–3, Kluwer Academic Publishers,
    2001, pp. 207–20, doi:<a href="https://doi.org/10.1023/A:1012915002568">10.1023/A:1012915002568</a>.
  short: W. Sextro, K. Popp, T. Krzyzynski, Nonlinear Dynamics 25 (2001) 207–220.
date_created: 2019-04-15T10:14:18Z
date_updated: 2022-01-06T07:04:05Z
department:
- _id: '151'
doi: 10.1023/A:1012915002568
intvolume: '        25'
issue: 1-3
keyword:
- bladed disk assembly
- mistuning
- sensitivity
- localization
language:
- iso: eng
page: 207-220
publication: Nonlinear Dynamics
publication_identifier:
  issn:
  - 0924-090X
publisher: Kluwer Academic Publishers
status: public
title: Localization in Nonlinear Mistuned Systems with Cyclic Symmetry
type: journal_article
user_id: '55222'
volume: 25
year: '2001'
...