DOI 10.17586/0021-3454-2020-63-7-611-619
UDC 681.586.2
MATHEMATICAL MODEL OF DYNAMICS OF THE PENDULUM SENSING ELEMENT OF THE RAILWAY TRACK LEVEL DETECTOR
I.S. Turgenev Orel State University, Department of Instru-ment Engineering, Metrology and Certification;
K. V. Podmaster'yev
I.S. Turgenev Orel State University, Institute of Instrument Engineering, Automation and Information Technologies;
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Abstract. The dynamics of the pendulum sensitive element of the railway track level detector mounted on a moving platform is considered. A differential equation is derived to describe the element dynamics un-der the effect of the track roughness as well as vibration, expressions for initial conditions are defined. An analytical solution is obtained for the equation of the pendulum dynamics in the case of one-dimensional vibrations along the horizontal axis. The equation for two-dimensional vibrations is solved numerically. Presented results of analytical calculations and simulation using the finite element method confirm the developed model adequacy.
Keywords: mathematical model, differential equation, dynamics, pendulum, motion, sensor, rail track roughness, vibration, finite element simulation
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