Problem on vibration of a bar with nonlinearsecond-order boundary damping

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In this paper, we study the initial-boundary problem with nonlinear dynam- ical boundary condition for the pseudohyperbolic equation. This problem repre- sents a mathematical model of longitudinal vibration in a thick short bar with dynamic nonlinear second-order boundary damping. The existence and unique- ness of a generalized solution are proved. The proof is based on a priori estimates and Galerkin procedure. This approach allows to construct approximation in the suitable for practical application form.

About the authors

A.B. Beylin

Samara State Technical University

Author for correspondence.

L.S. Pulkina

Samara State University



Copyright (c) 2017 А.Б. Бейлин, Л.С. Пулькина

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