Interaction of global and local modes at free oscillations of compressed thin-walled beams
Data
2003
Autorzy
Tytuł czasopisma
ISSN czasopisma
Tytuł tomu
Wydawca
Katedra Wytrzymałości Materiałów i Konstrukcji, Politechnika Łódzka
Department of Strength of Materials & Structures, Lodz University of Technology
Department of Strength of Materials & Structures, Lodz University of Technology
Abstrakt
The influence of a compressive force on free nonlinear oscillation of thin-walled
members is studied. The case of internal autoparametric resonance is considered
when the ratio of natural frequencies of global and local modes is close to 2: 1. It
is shown that in a vicinity of this resonance the oscillations become amplitudefrequency
modulated due to the energy exchange between linear modes. Two
coupled stationary oscillation modes exist (which can be regarded as synchronized
vibrations in overall and local mode). A bifurcational value of the energy is
established after exceeding of which the uncoupled oscillation in overall mode
becomes unstable, and stationary modes can be only coupled.
Opis
Słowa kluczowe
cienkościenne elementy, metoda wieloskalowa, siła ściskająca, thin-walled members, multiple scales method, compressive force
Cytowanie
Manevich A.I., Kołakowski Z., Interaction of global and local modes at free oscillations of compressed thin-walled beams. W: X Sympozjum Stateczności Konstrukcji, Zakopane, 8-12 września 2003, Kowal-Michalska K. (red.), Kołakowski Z. (red.), Wydawca Katedra Wytrzymałości Materiałów i Konstrukcji - Politechnika Łódzka, Łódź 2003, s.275-282, ISBN 83-914019-2-8.