Application of asymptotic methods to the investigation of one-frequency nonlinear oscillations of cylindrical shells interacting with moving fluid
Abstract
We demonstrate the applicability of the Bogolyubov-Mitropol’skii asymptotic method to the construction of one-frequency solutions of a system of nonlinear equations used to describe the multimode free, forced, and parametrically excited vibrations of cylindrical shells interacting with moving fluid.
English version (Springer): Ukrainian Mathematical Journal 59 (2007), no. 4, pp 533-545.
Citation Example: Koval’chuk P. S., Kruk L. A., Kubenko V. D. Application of asymptotic methods to the investigation of one-frequency nonlinear oscillations of cylindrical shells interacting with moving fluid // Ukr. Mat. Zh. - 2007. - 59, № 4. - pp. 476–487.
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