Dept. Automatics and Biomechanics, Technical University of Lodz, ul. Stefanowskiego 1/15, 90-924, Lodz, Poland
Dept. Automatics and Biomechanics, Technical University of Lodz, ul. Stefanowskiego 1/15, 90-924, Lodz, Poland
flexible cylindrical shell
classical non-linear theory
non-linear theory
Complex vibrations of closed cylindrical shells of infinite length and circular cross section subjected to transversal local load in the frame of the classical non-linear theory are studied. A transition from partial differential equations (PDEs) to ordinary differential equations (ODEs) is carried out using a higher order Bubnov-Galerkin approach and Fourier representation. On the other hand, the Cauchy problem is solved using the fourth-order Runge-Kutta method.
circular cross section
infinite length
cylindrical shells
2008-04-15
equations
Cauchy problem
representation
Runge-Kutta method
approach
Closed Flexible Cylindrical Shells
sections
closed cylindrical shell
ordinary differential equations
hand
Bubnov-Galerkin approach
https://doi.org/10.1007/978-3-540-77676-5_11
false
differential equations
length
order Bubnov-Galerkin approach
Fourier representation
load
transversal local load
chapter
higher order Bubnov-Galerkin approach
235-270
https://scigraph.springernature.com/explorer/license/
dynamics
frame
cross sections
local loads
method
partial differential equations
2022-01-01T19:26
2008-04-15
problem
chapters
fourth-order Rungeâ€“Kutta method
en
transition
shell
vibration
Dynamics of Closed Flexible Cylindrical Shells
complex vibrations
theory
Pure Mathematics
Mathematical Sciences
Dept. Mathematics/Mechanics, Saratov State University, Polyteshnycheskaya ul. 77, 410005, Saratov, Russia
Dept. Mathematics/Mechanics, Saratov State University, Polyteshnycheskaya ul. 77, 410005, Saratov, Russia
Vadim Anatolevich
Krysko
Jan
Awrejcewicz
Springer Nature - SN SciGraph project
Springer Nature
10.1007/978-3-540-77676-5_11
doi
pub.1015490582
dimensions_id
978-3-540-77676-5
Chaos in Structural Mechanics
978-3-540-77675-8