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- Article name
- Calculation by Bubnov-Galerkin method of non-linear deformation of the orthotropic shell of revolution under the action of non-stationary pressure
- Authors
- OSTRIK A. V., , ostrik@ficp.ac.ru, Institute for Problems of Chemical Physics RAS, Chernogolovka, Russia
NIKOLAEV D. N., , nik@ficp.ac.ru, Institute for Problems of Chemical Physics RAS, Chernogolovka, Moscow region, Russia
NEKRASOV M. A., , matvei-n@mail.ru, Central Research Institute for Special Machinery, Khotkovo, Moscow Region, Russia
STEPYGIN V. I., , stepvliv@mail.ru, Central Research Institute for Special Machinery, Khotkovo, Moscow Region, Russia
- Keywords
- thin-walled composite construction / orthotropic shell of revolution / one-sided pressure pulse / nonlinear non-stationary deformation / Bubnov-Galerkin method / implicit finite-difference scheme / energy conservation law
- Year
- 2026 Issue 2 Pages 3 - 10
- Code EDN
- YMYBQI
- Code DOI
- 10.52190/2073-2562_2026_2_3
- Abstract
- Mechanical and numerical models of action of one-sided pressure pulse on composite orthotropic shell of revolution are proposed. The numerical solution of the nonlinear equations of motion of the shell is represented as partial sums of Fourier series in angular coordinate and the Bubnov-Galerkin method is used. The resulting non-stationary one-dimensional in space (along the longitudinal coordinate) equations for harmonic amplitudes are solved by the finite-difference method according to an implicit scheme with weights. Numerical model allows to simulate non-stationary deformation of orthotropic shell taking into account geometric nonlinearity for time intervals of several periods of oscillations of thin-walled construction. The results of calculations of the parameters of non-stationary deformation of the fiberglass shell with pressure pulses in the center of the loading area Ip = 0.3 kPaxs, 1 kPaxs are presented. Calculated and experimental data for time dependencies of circumferential deformations were compared.
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