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Nonlinear vibration modes of an elastic panel under periodic loading
Authors:A L Tukmakov
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. Institute of Mechanics and Mechanical Engineering, Kazan' Science Center, Russian Academy of Sciences, Kazan' 420111. Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 41, No. 1, pp. 186–191, January–February, 2000.
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