Abstract:
We present sufficient conditions for the existence of forced oscillations in nonautonomous mechanical systems. Previously, similar results have been obtained for systems with friction. The results presented here hold for systems both with and without friction. Some examples are given.
Citation:
Ivan Yu. Polekhin, “Some Results on the Existence of Forced Oscillations in Mechanical Systems”, Selected issues of mathematics and mechanics, Collected papers. On the occasion of the 70th birthday of Academician Valery Vasil'evich Kozlov, Trudy Mat. Inst. Steklova, 310, Steklov Math. Inst., Moscow, 2020, 267–279; Proc. Steklov Inst. Math., 310 (2020), 250–261
\Bibitem{Pol20}
\by Ivan~Yu.~Polekhin
\paper Some Results on the Existence of Forced Oscillations in Mechanical Systems
\inbook Selected issues of mathematics and mechanics
\bookinfo Collected papers. On the occasion of the 70th birthday of Academician Valery Vasil'evich Kozlov
\serial Trudy Mat. Inst. Steklova
\yr 2020
\vol 310
\pages 267--279
\publ Steklov Math. Inst.
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/tm4112}
\crossref{https://doi.org/10.4213/tm4112}
\elib{https://elibrary.ru/item.asp?id=45114624}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2020
\vol 310
\pages 250--261
\crossref{https://doi.org/10.1134/S0081543820050193}
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Linking options:
https://www.mathnet.ru/eng/tm4112
https://doi.org/10.4213/tm4112
https://www.mathnet.ru/eng/tm/v310/p267
This publication is cited in the following 3 articles:
I. Yu. Polekhin, “Remarks on Forced Oscillations on Manifolds”, Proc. Steklov Inst. Math., 327 (2024), 268–275
I. Yu. Polekhin, “The existence proof for forced oscillations by adding dissipative forces in the example of a spherical pendulum”, Theoret. and Math. Phys., 211:2 (2022), 692–700
I. P. Popov, “Varieties of mechanical powers”, J. Mach. Manuf. Reliab., 51:8 (2022), 746
Citation in format AMSBIB
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