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Extended Lindstedt-Poincare method with multiple time scales for nonstationary oscillations [Elektronski vir]Pušenjak, Rudi, 1947- ; Avsec, Jurij ; Oblak, MaksThe paper presents the extended Lindstedt-Poincare method, which applies multiple time scales to treat nonstationary oscillations arising in dynamical systems with cubic non-linearities. The passage ... through the resonance is conducted to study deviations from the stationary response. The method is applied to dynamical systems, such as Duffing oscillator and Van der Pol oscillator, where effects of varying the excitation frequency and varying the excitation amplitudes, resp. are studied. It is shown that the application of multiple scales benefits to find more accurate expressions of stationary responses in comparison to the conventional Lindstedt-Poincare method and consequently contributes to the versatile and effective calculation of the nonstationary frequewncy response curves.Source: IMECE2006 [Elektronski vir] (8 f., Paper IMECE2006-14249)Type of material - conference contributionPublish date - 2006Language - englishCOBISS.SI-ID - 10864662
Author
Pušenjak, Rudi, 1947- |
Avsec, Jurij |
Oblak, Maks
Topics
dinamika materialih sistemov |
nelinearna nihanja |
Duffing oscilator |
Van der Pol oscilator |
frekvenca vzbujabja |
resonanca |
mehanika |
dynamics of material systems |
nonlinear oscillations |
Duffing oscillator |
Van der Pol oscillator |
excitation frequency |
resonance |
mechanics
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Database name | Field | Year |
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Pušenjak, Rudi, 1947- | 01738 |
Avsec, Jurij | 10827 |
Oblak, Maks | 03027 |
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