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Research on the nonlinear dynamics of the pressure control system
| Title | Research on the nonlinear dynamics of the pressure control system |
|---|---|
| Authors | Y. V. Vybornova1, S. V. Kireev1, P. A. Velmisov1 1Ulyanovsk State Technical University |
| Annotation | A mathematical model of a mechanical system consisting of a pipeline and a pressure sensor designed to control the pressure in the engine combustion chamber is considered. The mathematical model includes nonlinear equations of gas dynamics that take into account changes in the velocity, density, pressure, and temperature of the working medium in the pipeline. An approximate solution of the initial-boundary value problem is constructed using the Galerkin method. Numerical experiments are conducted for various laws of pressure and temperature changes at the inlet of the pipeline. The time dependencies of the movement of the sensor's sensitive element and the temperature distribution along the pipeline are obtained. The influence of gas flow parameters on the dynamic behavior of the measurement system has been studied. |
| Keywords | pressure sensor, sensitive element, pipeline, gas dynamics, nonlinear oscillations, Galerkin method, mathematical modeling. |
| Citation | Vybornova Y. V., Kireev S. V., Velmisov P. A. ''Research on the nonlinear dynamics of the pressure control system'' [Electronic resource]. Mathematical modeling, numerical methods, and software systems: Collection of materials from the 12th All‑Russian Scientific Youth School‑Seminar named after E. V. Voskresensky (Saransk, July 21–24, 2026). - pp. 40-44. Available at: https://conf.svmo.ru/files/2026/papers/paper70.pdf. - Date of access: 25.09.2026. |
© SVMO, National Research Mordovia State University, 2026
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