On stability of solutions of equations of interaction between elastic walls of channels and affluent liquid

Abstract


In this article the dynamical stability of elastic walls of plane channels under flowing of the perfect liquid is investigated on the basis of mathematical models. Either the law of pressure change or the potential of liquid velocity or the longitudinal component of liquid velocity are applied on the input and output from the channels. The sufficient conditions of stability are obtained. These conditions impose a constraint on the velocity of the liquid homogeneous stream, on the compressing (decompressing) force and other parameters of mechanical system.

About the authors

Andrey V Ankilov

Ulyanovsk State Technical University

Email: ankil@ulstu.ru
(к.ф.-м.н., доц.), доцент, каф. высшей математики; Ульяновский государственный технический университет; Ulyanovsk State Technical University

Petr A Velmisov

Ulyanovsk State Technical University

Email: velmisov@ulstu.ru
(д.ф.-м.н., проф.), зав. кафедрой, каф. высшей математики; Ульяновский государственный технический университет; Ulyanovsk State Technical University

References

  1. Collatz L. Eigenwertaufgaben mit technischen Anwendungen (in German). Leipzig: Akad. Verlagsges, 1949. 466 pp.
  2. Лаврентьев М. А., Шабат Б. В. Методы теории функций комплексного переменного. М.: Наука, 1987. 688 с.
  3. Гахов Ф. Д. Краевые задачи. М.: Наука, 1977. 640 с.

Statistics

Views

Abstract - 23

PDF (Russian) - 9

Cited-By


Article Metrics

Metrics Loading ...

Refbacks

  • There are currently no refbacks.

Copyright (c) 2011 Samara State Technical University

Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.

This website uses cookies

You consent to our cookies if you continue to use our website.

About Cookies