This article is cited in 4 papers

Nonlinear vibration modes of an elastic panel under periodic loading

A. L. Tukmakov

Institute of Mechanics and Mechanical Engineering, Kazan' Science Center, Russian Academy of Sciences, Kazan' 420111

Abstract: The dynamic instability and nonlinear behavior of a nonshallow thin elastic cylindrical panel with simply supported rectilinear edges under uniformly distributed periodic load is studied. The regions of regular and chaotic dynamics are determined for symmetric and nonsymmetric bending modes of the panel. It is shown that depending on the external load frequency, the nonsymmetric buckling. which occurs when the load amplitude reaches a critical value, can lead to two different dynamic modes.

UDC: 519.63

Received: 14.05.1998
Accepted: 23.11.1998

 English version: Journal of Applied Mechanics and Technical Physics, 2000, 41:1, 171–175

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