Research output: Contribution to journal › Article
Асимптотический анализ свободных колебаний цилиндрической оболочки, сопряженной с кольцевыми пластинами. / Филиппов, Сергей Борисович; Козлова, Анастасия Сергеевна.
In: ИЗВЕСТИЯ САРАТОВСКОГО УНИВЕРСИТЕТА. НОВАЯ СЕРИЯ. СЕРИЯ: МАТЕМАТИКА. МЕХАНИКА. ИНФОРМАТИКА, Vol. 24, No. 1, 20.02.2024, p. 138-149.Research output: Contribution to journal › Article
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TY - JOUR
T1 - Асимптотический анализ свободных колебаний цилиндрической оболочки, сопряженной с кольцевыми пластинами
AU - Филиппов, Сергей Борисович
AU - Козлова, Анастасия Сергеевна
PY - 2024/2/20
Y1 - 2024/2/20
N2 - Low frequencies and vibration modes of a closed circular cylindrical shell joined with annular plates are obtained by means of asymptotic methods. Two types of vibrations, corresponding to narrow and wide plates, are analyzed. If the width of the ring is sufficiently small, then the vibration mode of the stiffened shell is similar to the mode of the shell without rings. For wide plates joined with a cylindrical shell the vibration mode is localized on the surface of the ring, and the cylindrical shell itself does not actually deform. In both cases the solution of a boundary value problem is searched in the form of the sum of slowly varying functions and edge effect integrals. For narrow plates as a first approximation we obtain a problem about vibrations of the beam supported by springs. For wide plates the problem is reduced to a problem about vibrations of a ring plate.
AB - Low frequencies and vibration modes of a closed circular cylindrical shell joined with annular plates are obtained by means of asymptotic methods. Two types of vibrations, corresponding to narrow and wide plates, are analyzed. If the width of the ring is sufficiently small, then the vibration mode of the stiffened shell is similar to the mode of the shell without rings. For wide plates joined with a cylindrical shell the vibration mode is localized on the surface of the ring, and the cylindrical shell itself does not actually deform. In both cases the solution of a boundary value problem is searched in the form of the sum of slowly varying functions and edge effect integrals. For narrow plates as a first approximation we obtain a problem about vibrations of the beam supported by springs. For wide plates the problem is reduced to a problem about vibrations of a ring plate.
KW - asymptotic methods
KW - cylindrical shell
KW - free vibrations
KW - joined with annular plates
UR - https://www.mathnet.ru/rus/isu1015
UR - https://www.mendeley.com/catalogue/ed01c014-c45e-385c-8745-e55efeec792a/
U2 - 10.18500/1816-9791-2024-24-1-138-149
DO - 10.18500/1816-9791-2024-24-1-138-149
M3 - статья
VL - 24
SP - 138
EP - 149
JO - Izvestiya of Saratov University. Mathematics. Mechanics. Informatics
JF - Izvestiya of Saratov University. Mathematics. Mechanics. Informatics
SN - 1816-9791
IS - 1
ER -
ID: 119296394