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
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
Mots-clés : inert
@article{VTGU_2013_1_a10,
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},
year = {2013},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VTGU_2013_1_a10/}
}
TY - JOUR AU - I. P. Popov TI - Vibration systems consisting only of inert or only elastic elements and the appearance of free harmonic vibrations in them JO - Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika PY - 2013 SP - 95 EP - 103 IS - 1 UR - http://geodesic.mathdoc.fr/item/VTGU_2013_1_a10/ LA - ru ID - VTGU_2013_1_a10 ER -
%0 Journal Article %A I. P. Popov %T Vibration systems consisting only of inert or only elastic elements and the appearance of free harmonic vibrations in them %J Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika %D 2013 %P 95-103 %N 1 %U http://geodesic.mathdoc.fr/item/VTGU_2013_1_a10/ %G ru %F VTGU_2013_1_a10
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/
[1] Popov I. P., “Reaktivnye elementy elektricheskikh tsepei s «neelektricheskimi» parametrami”, Vestn. Samarskogo gosudarstvennogo tekhnicheskogo universiteta. Tekhnicheskie nauki, 2010, no. 4(27), 166–173
[2] Barkgauzen G., Vvedenie v uchenie o kolebaniyakh, Gosenergoizdat, M., 1934, 116 pp.
[3] Tongue B., Principles of Vibration, Oxford University Press, 2001, 367 pp.
[4] Thompson W. T., Theory of Vibrations, Nelson Thornes Ltd., 1996, 295 pp.
[5] Popov I. P., “Svobodnye garmonicheskie kolebaniya v sistemakh s odnorodnymi elementami”, PMM, 76:4 (2012), 546–549