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- W2014455540 abstract "For non-shallow arches, an internal resonance of symmetrical and antisymmetrical vibrations is the most important phenomenon. It is shown by higher analytical iteration that the nonlinear coupling between the two vibration modes yields maximum amplitudes and an onset of chaotic motions in dependence of the detuning. The results on the onset of chaos correspond to numerical results found by J. J. Thomsen [6]. Für stark gekrümmte Schalen ist eine innere Resonanz symmetrischer und antisymmetrischer Schwingungen die wichtigste Schwingungserscheinung. Durch höhere analytische Iteration wird gezeigt, daß die nichtlineare Koppelung zwischen den beiden Schwingungsmoden zu Maximalamplituden und einem Einsetzen chaotischer Bewegungen in Abhängigkeit von der Verstimmung führt. Die Ergebnisse zum Chaos korrespondieren mit den von J. J. Thomsen [6] gefundenen numerischen Ergebnissen." @default.
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- W2014455540 title "Vibrations of Arches and Onset of Chaos" @default.
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- W2014455540 doi "https://doi.org/10.1002/zamm.19930731203" @default.
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