Research output: Chapter in Book/Report/Conference proceeding › Chapter › Research › peer-review
Waves with the negative group velocity in the cylindrical shell, filled with compressible liquid. / Filippenko, George V.
Lecture Notes in Mechanical Engineering. ed. / Evgrafov Evgrafov. Springer. ed. Switzerland : Pleiades Publishing, 2018. p. 93-104 (Lecture Notes in Mechanical Engineering; Vol. PartF5).Research output: Chapter in Book/Report/Conference proceeding › Chapter › Research › peer-review
}
TY - CHAP
T1 - Waves with the negative group velocity in the cylindrical shell, filled with compressible liquid
AU - Filippenko, George V.
PY - 2018/1/1
Y1 - 2018/1/1
N2 - The problem of joint oscillations of the infinite thin cylindrical shell filled with acoustical liquid of the Kirchhoff-Love type is considered. Free harmonic vibrations of the system are found. Propagating waves are analyzed. Much attention is given to exploration of waves with negative group velocity in the neighborhood of the bifurcation point of dispersion curves. Dispersion curve asymptotics are used in the neighborhood of the bifurcation point for this case. The ranges of frequencies and wavenumbers where this effect is observed are also estimated. Asymptotics for the regular case and for the case of bifurcation are discussed. Dependence of processes on the relative thickness of the shell and other parameters of the system are viewed. Possible fields of applicability of the effects gained are established.
AB - The problem of joint oscillations of the infinite thin cylindrical shell filled with acoustical liquid of the Kirchhoff-Love type is considered. Free harmonic vibrations of the system are found. Propagating waves are analyzed. Much attention is given to exploration of waves with negative group velocity in the neighborhood of the bifurcation point of dispersion curves. Dispersion curve asymptotics are used in the neighborhood of the bifurcation point for this case. The ranges of frequencies and wavenumbers where this effect is observed are also estimated. Asymptotics for the regular case and for the case of bifurcation are discussed. Dependence of processes on the relative thickness of the shell and other parameters of the system are viewed. Possible fields of applicability of the effects gained are established.
KW - Cylindrical shell
KW - Local and integral energy fluxes
KW - Propagation of the waves
KW - Vibrations of the shells
UR - http://www.scopus.com/inward/record.url?scp=85053885668&partnerID=8YFLogxK
U2 - 10.1007/978-3-319-72929-9_11
DO - 10.1007/978-3-319-72929-9_11
M3 - Chapter
AN - SCOPUS:85053885668
SN - 978-3-319-72928-2
T3 - Lecture Notes in Mechanical Engineering
SP - 93
EP - 104
BT - Lecture Notes in Mechanical Engineering
A2 - Evgrafov, Evgrafov
PB - Pleiades Publishing
CY - Switzerland
ER -
ID: 34962246