Abstract
The calculation procedure using the method of direct linearization of mixed self-oscillations, forced and parametric oscillations in a system with limited power-supply is considered. On the basis of this method, the equations of non-stationary and stationary motions are derived. Using these equations and the Routh-Hurwitz criteria, the conditions for the stability of steady-state oscillations are obtained. Calculations were carried out to obtain information on the amplitude-frequency dependence and stability of oscillations in order to compare with the results obtained by the known methods of nonlinear mechanics. These calculations show that the results based on the method of direct linearization are qualitatively completely similar to the results obtained using the well-known methods of nonlinear mechanics, there are only fairly small quantitative differences. At the same time, in contrast to the known methods of nonlinear mechanics, the use of the method of direct linearization is quite simple, it takes much less time and labor spent.
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Alifov, A.A. (2020). On the Calculation by the Method of Direct Linearization of Mixed Oscillations in a System with Limited Power-Supply. In: Hu, Z., Petoukhov, S., Dychka, I., He, M. (eds) Advances in Computer Science for Engineering and Education II. ICCSEEA 2019. Advances in Intelligent Systems and Computing, vol 938. Springer, Cham. https://doi.org/10.1007/978-3-030-16621-2_3
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DOI: https://doi.org/10.1007/978-3-030-16621-2_3
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