Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
290303 | Journal of Sound and Vibration | 2008 | 17 Pages |
Abstract
Nonlinear modes of snap-through motions of a shallow arch are analyzed. Dynamics of shallow arch is modeled by a two-degree-of-freedom system. Two nonlinear modes of this discrete system are treated. The methods of Ince algebraization and Hill determinants are used to study stability of nonlinear modes. The analytical results are compared with the data of the numerical simulations.
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Authors
I. Breslavsky, K.V. Avramov, Yu. Mikhlin, R. Kochurov,