Abstract
A method of searching for primitive functions of irregularities on a railway track by the known values of their derivatives has been developed. To search for primitive functions, iterative methods for finding the desired functions of differential equations are used, when the sought functions are presented as a sum of terms of a formal power series. In the process of solving the problem, as a result of an equivalent transformation of the original systems of differential equations, completely autonomous separated equations were obtained that describe various types of oscillations of a rail vehicle.
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Savrukhin, A., Kruglov, V., Erofeev, V., Bulgakov, A., Gladkin, S. (2022). About Construction of a System for Monitoring the Current Technical State of the Railway Tracks. In: Solovev, D.B., Kyriakopoulos, G.L., Venelin, T. (eds) SMART Automatics and Energy. Smart Innovation, Systems and Technologies, vol 272. Springer, Singapore. https://doi.org/10.1007/978-981-16-8759-4_17
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