A mathematical model of a mechanical system for measuring the pressure of the working medium in an engine is proposed. The system includes an axisymmetric pipe with fluid and a fluid pressure sensor. An integro-differential equation of the dynamics of the elastic element of the sensor is obtained, which relates its deformation to the pressure and temperature of the medium at the entrance to the pipeline (for example, at the exit from the engine combustion chamber). A numerical-analytical method for solving this equation is proposed and examples of numerical calculations of the element dynamics are given.

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