by Walter Sextro, Karl Karl Popp, Tomasz Krzyzynski
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.
Reference:
Sextro, W.; Karl Popp, K.; Krzyzynski, T.: Localization in Nonlinear Mistuned Systems with Cyclic Symmetry. Nonlinear Dynamics, Kluwer Academic Publishers, volume 25, 2001.
Bibtex Entry:
@ARTICLE{Sextro2001,
author = {Sextro, Walter and Karl Popp, Karl and Krzyzynski, Tomasz},
title = {Localization in Nonlinear Mistuned Systems with Cyclic Symmetry},
journal = {Nonlinear Dynamics},
year = {2001},
volume = {25},
pages = {207-220},
number = {1-3},
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.},
bdsk-url-1 = {http://dx.doi.org/10.1023/A%3A1012915002568},
bdsk-url-2 = {http://dx.doi.org/10.1023/A:1012915002568},
doi = {10.1023/A:1012915002568},
issn = {0924-090X},
keywords = {bladed disk assembly; mistuning; sensitivity; localization},
language = {English},
owner = {K. Agbons jr},
publisher = {Kluwer Academic Publishers},
timestamp = {2013.11.23},
url = {http://dx.doi.org/10.1023/A%3A1012915002568}
}