Geodesic
Vibration systems consisting only of inert or only elastic elements and the appearance of free harmonic vibrations in them
Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 1 (2013), pp. 95-103

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We consider mechanical vibration systems consisting only of inert ($mm$-, $mmm$-, $m^n$-systems) or only elastic ($kk$-, $kkk$-, $k^n$-systems) components. The possibility of the of free harmonic vibrations appearance in such systems is shown. In the $mm$-, $mmm$-, $m^n$-systems, the mutual exchange of kinetic energy between the inert elements occurs; in $kk$-, $kkk$-, $k^n$-systems, the mutual exchange of the potential energy between elastic elements.
Keywords: vibration, elastic, harmonic, frequency.
Mots-clés : inert 
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     author = {I. P. Popov},
     title = {Vibration systems consisting only of inert or only elastic elements and the appearance of free harmonic vibrations in them},
     journal = {Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika},
     pages = {95--103},
     publisher = {mathdoc},
     number = {1},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VTGU_2013_1_a10/}
}
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I. P. Popov. Vibration systems consisting only of inert or only elastic elements and the appearance of free harmonic vibrations in them. Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 1 (2013), pp. 95-103. http://geodesic.mathdoc.fr/item/VTGU_2013_1_a10/