@article{8918,
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.},
author = {Krzyzynski, Tomasz and Popp, Karl and Sextro, Walter},
issn = {0960-0779},
journal = {Chaos, Solitons \& Fractals},
number = {10},
pages = {1597 -- 1609},
title = {{On some regularities in dynamic response of cyclic periodic structures}},
doi = {10.1016/S0960-0779(99)00080-6},
volume = {11},
year = {2000},
}
@inproceedings{8920,
author = {Sextro, Walter},
booktitle = {International Gas Turbine \& Aeroengine Congress \& Exhibition, ASME},
pages = {1--8},
title = {{The Calculation of the Forced Response of Shrouded Blades with Friction Contacts and Its Experimental Verification}},
year = {2000},
}
@inbook{16553,
author = {Dellnitz, Michael and Froyland, Gary and Sertl, Stefan},
booktitle = {Equadiff 99},
isbn = {9789810243593},
title = {{A Conjecture on the Existence of Isolated Eigenvalues of the Perron-Frobenius Operator}},
doi = {10.1142/9789812792617_0199},
year = {2000},
}
@inbook{16616,
author = {Junge, Oliver},
booktitle = {Equadiff 99},
isbn = {9789810243593},
title = {{Rigorous discretization of subdivision techniques}},
doi = {10.1142/9789812792617_0178},
year = {2000},
}
@inbook{17018,
author = {Dellnitz, Michael and Junge, Oliver and Rumpf, Martin and Strzodka, Robert},
booktitle = {Equadiff 99},
isbn = {9789810243593},
pages = {1053----1059},
title = {{The computation of an unstable invariant set inside a cylinder containing a knotted flow}},
doi = {10.1142/9789812792617_0204},
year = {2000},
}
@inbook{17525,
author = {Peckhaus, Volker},
booktitle = {Gottlob Frege — Werk und Wirkung. Mit den unveröffentlichten Vorschlägen für ein Wahlgesetz von Gottlob Frege},
editor = {Gabriel, Gottfried and Dathe, Uwe},
pages = {191----209},
publisher = {mentis},
title = {{Kantianer oder Neukantianer? Über die Schwierigkeiten, Frege der Philosophie seiner Zeit zuzuordnen}},
year = {2000},
}
@inproceedings{18150,
abstract = {What is the minimum number of hyperplanes that slice all edges of the d-dimensional hypercube? The answers have been known for d<=4.

This work settles the problem for d=5 and d=6. More precisely, a computer search implies that 4 hyperplanes do not suffice for this purpose (but 5 do).

We also develop computational approaches for attacking this extremal problem from combinatorial geometry in higher dimensions. They allow us to determine for example all maximal sliceable subsets of hypercube edges up to dimension 7.},
author = {Ziegler, Martin and Sohler, Christian},
booktitle = {Proceedings of the 12th Canadian Conference on Computational Geometry (CCCG'00)},
pages = {73--79},
title = {{Computing Cut Numbers}},
year = {2000},
}
@misc{18345,
author = {Peckhaus, Volker},
booktitle = {Zentralblatt für Mathematik und ihre Grenzgebiete [Zbl. 935.03008]},
title = {{Boolos, George; Heck, Richard G. jun., “Die Grundlagen der Arithmetik, §§ 82–3”, in: Matthias Schirn (Hg.), The Philosophy of Mathematics Today. Papers from a Conference, Munich, Germany, June 28–July 4, 1993, Clarendon Press: Oxford 1998, 407–428}},
year = {2000},
}
@misc{18338,
author = {Peckhaus, Volker},
booktitle = {Zentralblatt für Mathematik und ihre Grenzgebiete [Zbl. 927.68015]},
title = {{Arsac, Jacques, «Les langages de programmation: une moderne Babel», C.R. Académie des Sciences (Paris). La vie des Sciences 13, Nr. 1 (1996), 25–37}},
year = {2000},
}
@misc{18340,
author = {Peckhaus, Volker},
booktitle = {Zentralblatt für Mathematik und ihre Grenzgebiete [Zbl. 933.03002]},
title = {{Landini, Gregory, Russell’s Hidden Substitutional Theory, Oxford University Press: Oxford 1998}},
year = {2000},
}