The postcritical behavior of a 3D system of elastically restrained beams, which can manifest overall and local modes, is analyzed. The secondary bifurcation in the overall postcritical range is studied. By applying the multiple scale perturbation method it is found that the amplitude modulation phenomenon is governed by a differential equation of the second order. An approximate analytical expression of the amplitude modulating function is obtained by the WKB asymptotic method. The occurrence of a turning point which is responsible for the strong localization is revealed. Close analogies with localization of vibrations in imperfect systems are highlighted.
On the amplitude-modulation and localization phenomena in interactive buckling problems
LUONGO, Angelo
1991-01-01
Abstract
The postcritical behavior of a 3D system of elastically restrained beams, which can manifest overall and local modes, is analyzed. The secondary bifurcation in the overall postcritical range is studied. By applying the multiple scale perturbation method it is found that the amplitude modulation phenomenon is governed by a differential equation of the second order. An approximate analytical expression of the amplitude modulating function is obtained by the WKB asymptotic method. The occurrence of a turning point which is responsible for the strong localization is revealed. Close analogies with localization of vibrations in imperfect systems are highlighted.Pubblicazioni consigliate
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