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freedom
parameters
Section 3.3
harmonic process convergence
method
system
chapters
degrees of freedom
free nonlinear vibrations
chapter
Sect
choice
stress-strain problems
approximation
vibration
shell
en
order approximation
Vibrations of Rectangular Shells
homogeneous plate
natural vibrations
https://doi.org/10.1007/978-3-540-77676-5_4
nonhomogeneous shells
chapter
nonlinear vibration
rectangular shell
investigation
In this chapter we examine vibrations of rectangular shells. Linear and weakly nonlinear vibrations are revisited in Sect. 3.1, and then natural vibrations of nonhomogeneous shells applying the Bubnov-Galerkin method of higher order approximations are analyzed. Section 3.3 is devoted to investigation of free nonlinear vibrations of homogeneous plates and shells with respect to any choice of control parameters. The relatively extensive Sect. 3.4 addresses the spectral analysis of a stressâ€“strain problem of any plate/shell approximated by systems of n degrees of freedom. A harmonic process convergence and spectral analysis of free nonlinear vibrations are illustrated and discussed in Sects. 3.5 and 3.6, respectively.
extensive Sect
analysis
plate
2022-01-01T19:14
spectral analysis
degree
problem
2008-04-15
respect
higher order approximations
control parameters
https://scigraph.springernature.com/explorer/license/
convergence
false
Bubnov-Galerkin method
plates/shells
95-121
process convergence
10.1007/978-3-540-77676-5_4
doi
Vadim Anatolevich
Krysko
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
Pure Mathematics
Chaos in Structural Mechanics
978-3-540-77675-8
978-3-540-77676-5
Awrejcewicz
Jan
Springer Nature - SN SciGraph project
Springer Nature
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
pub.1036763459
dimensions_id