---
_id: '8918'
abstract:
- lang: eng
  text: The paper deals with cyclic periodic structures modelling bladed disk assemblies
    of blades with friction elements for vibration damping. These elements placed
    between adjacent blades reduce the vibration amplitudes by means of dry friction
    resulting from centrifugal forces acting on the elements and relative displacements
    of the blades. However, the application of these friction elements results in
    an additional dynamical coupling which together with mistuning of some system
    parameters (e.g., blade eigenfrequency or contact parameters) may cause localization
    of vibration. In the present paper a linear approximation of such a system is
    investigated. The structure composed of cyclic periodic cells modelled each as
    a clamped-free beam interacting with each other by means of viscoelastic elements
    of complex stiffness is applied for dynamic system analysis. In case of free vibrations
    as well as in case of steady-state dynamic response to a harmonic pressure field,
    a perfect periodic structure and the structures with periodically mistuned parameters
    (blade eigenfrequencies and contact parameters) are studied. Some regularities
    in the dynamic response of the systems with mistuning have been noticed. Despite
    the fact that only a linear approximation has been used, the results and conclusions
    can be applied for models which describe the blade interaction in a nonlinear
    way.
author:
- first_name: Tomasz
  full_name: Krzyzynski, Tomasz
  last_name: Krzyzynski
- first_name: Karl
  full_name: Popp, Karl
  last_name: Popp
- first_name: Walter
  full_name: Sextro, Walter
  id: '21220'
  last_name: Sextro
citation:
  ama: Krzyzynski T, Popp K, Sextro W. On some regularities in dynamic response of
    cyclic periodic structures. <i>Chaos, Solitons \&#38; Fractals</i>. 2000;11(10):1597-1609.
    doi:<a href="https://doi.org/10.1016/S0960-0779(99)00080-6">10.1016/S0960-0779(99)00080-6</a>
  apa: Krzyzynski, T., Popp, K., &#38; Sextro, W. (2000). On some regularities in
    dynamic response of cyclic periodic structures. <i>Chaos, Solitons \&#38; Fractals</i>,
    <i>11</i>(10), 1597–1609. <a href="https://doi.org/10.1016/S0960-0779(99)00080-6">https://doi.org/10.1016/S0960-0779(99)00080-6</a>
  bibtex: '@article{Krzyzynski_Popp_Sextro_2000, title={On some regularities in dynamic
    response of cyclic periodic structures}, volume={11}, DOI={<a href="https://doi.org/10.1016/S0960-0779(99)00080-6">10.1016/S0960-0779(99)00080-6</a>},
    number={10}, journal={Chaos, Solitons \&#38; Fractals}, author={Krzyzynski, Tomasz
    and Popp, Karl and Sextro, Walter}, year={2000}, pages={1597–1609} }'
  chicago: 'Krzyzynski, Tomasz, Karl Popp, and Walter Sextro. “On Some Regularities
    in Dynamic Response of Cyclic Periodic Structures.” <i>Chaos, Solitons \&#38;
    Fractals</i> 11, no. 10 (2000): 1597–1609. <a href="https://doi.org/10.1016/S0960-0779(99)00080-6">https://doi.org/10.1016/S0960-0779(99)00080-6</a>.'
  ieee: T. Krzyzynski, K. Popp, and W. Sextro, “On some regularities in dynamic response
    of cyclic periodic structures,” <i>Chaos, Solitons \&#38; Fractals</i>, vol. 11,
    no. 10, pp. 1597–1609, 2000.
  mla: Krzyzynski, Tomasz, et al. “On Some Regularities in Dynamic Response of Cyclic
    Periodic Structures.” <i>Chaos, Solitons \&#38; Fractals</i>, vol. 11, no. 10,
    2000, pp. 1597–609, doi:<a href="https://doi.org/10.1016/S0960-0779(99)00080-6">10.1016/S0960-0779(99)00080-6</a>.
  short: T. Krzyzynski, K. Popp, W. Sextro, Chaos, Solitons \&#38; Fractals 11 (2000)
    1597–1609.
date_created: 2019-04-15T09:58:17Z
date_updated: 2022-01-06T07:04:05Z
department:
- _id: '151'
doi: 10.1016/S0960-0779(99)00080-6
intvolume: '        11'
issue: '10'
language:
- iso: eng
page: 1597 - 1609
publication: Chaos, Solitons \& Fractals
publication_identifier:
  issn:
  - 0960-0779
status: public
title: On some regularities in dynamic response of cyclic periodic structures
type: journal_article
user_id: '55222'
volume: 11
year: '2000'
...