On some regularities in dynamic response of cyclic periodic structures (bibtex)
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}
}