Email this article On stability of solutions of equations of interaction between elastic walls of channels and affluent liquid
- Authors: Ankilov A.V1, Velmisov P.A1
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Affiliations:
- Ulyanovsk State Technical University
- Issue: Vol 15, No 1 (2011)
- Pages: 179-185
- Section: Articles
- URL: https://journals.eco-vector.com/1991-8615/article/view/21112
- ID: 21112
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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
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- Лаврентьев М. А., Шабат Б. В. Методы теории функций комплексного переменного. М.: Наука, 1987. 688 с.
- Гахов Ф. Д. Краевые задачи. М.: Наука, 1977. 640 с.
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