by Tomasz Krzyzynski, Karl Popp, Walter Sextro
Abstract:
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.
Reference:
Krzyzynski, T.; Popp, K.; Sextro, W.: On some regularities in dynamic response of cyclic periodic structures. Chaos, Solitons & Fractals, volume 11, 2000.
Bibtex Entry:
@ARTICLE{Krzyzynski2000,
author = {Tomasz Krzyzynski and Karl Popp and Walter Sextro},
title = {On some regularities in dynamic response of cyclic periodic structures},
journal = {Chaos, Solitons \& Fractals},
year = {2000},
volume = {11},
pages = {1597 - 1609},
number = {10},
__markedentry = {[K. Agbons jr:]},
abstract = {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.},
bdsk-url-1 = {http://www.sciencedirect.com/science/article/pii/S0960077999000806},
bdsk-url-2 = {http://dx.doi.org/10.1016/S0960-0779(99)00080-6},
doi = {http://dx.doi.org/10.1016/S0960-0779(99)00080-6},
issn = {0960-0779},
owner = {K. Agbons jr},
timestamp = {2013.11.23},
url = {http://www.sciencedirect.com/science/article/pii/S0960077999000806}
}