Mathematical modeling of the dynamics of the mechanical system «pipeline

Title	Mathematical modeling of the dynamics of the mechanical system «pipeline – pressure sensor»
Authors	Y. V. Vybornova¹, P. A. Velmisov¹ ¹Ulyanovsk State Technical University
Annotation	The paper considers a nonlinear mathematical model of the mechanical system «pipeline – pressure sensor» is proposed, designed to control the pressure in the combustion chamber. An approximate solution of the corresponding initial boundary value problem is constructed using the Galerkin method. Numerical experiments have been carried out and graphs of the movement of the sensor sensor element and the temperature of the working medium have been obtained with different setting of the laws of change in the pressure of the working medium and the temperature at the inlet to the pipeline.
Keywords	pressure sensor, pipeline, sensing element, dynamics, differential equations, Galerkins method.
Citation	Vybornova Y. V., Velmisov P. A. ''Mathematical modeling of the dynamics of the mechanical system «pipeline – pressure sensor»'' [Electronic resource]. Proceedings of the International Scientific Youth School-Seminar "Mathematical Modeling, Numerical Methods and Software complexes" named after E.V. Voskresensky (Saransk, July 29-31, 2025). Saransk: SVMO Publ, 2025. - pp. 63-68. Available at: https://conf.svmo.ru/files/2025/papers/paper12.pdf. - Date of access: 30.08.2025.