@article{Koval’chuk_Kubenko_2001, title={Application of the Averaging Method to the Investigation of Nonlinear Wave Processes in Elastic Systems with Circular Symmetry}, volume={53}, url={https://umj.imath.kiev.ua/index.php/umj/article/view/4355}, abstractNote={We apply asymptotic methods of nonlinear mechanics (the Bogolyubov–Mitropol’skii averaging method) to the construction of approximate solutions of a system of nonlinear equations describing wave processes in elastic systems with circular symmetry. As an example, we study the dynamics of interaction of two flexural waves that propagate in a cylindrical shell under the conditions of free oscillations and periodic excitation.}, number={10}, journal={Ukrains’kyi Matematychnyi Zhurnal}, author={Koval’chuk, P. S. and Kubenko, V. D.}, year={2001}, month={Oct.}, pages={1358-1367} }