NDLI: Comparison of Different Shell Theories for Large-Amplitude Vibrations of Circular Cylindrical Shells

Content Provider	The American Society of Mechanical Engineers (ASME) Digital Collection
Author	Amabili, M.
Copyright Year	2002
Abstract	Large-amplitude (geometrically nonlinear) vibrations of circular cylindrical shells subjected to radial harmonic excitation in the spectral neighbourhood of the lowest resonances are investigated. The Lagrange equations of motion are obtained by an energy approach, retaining damping through Rayleigh’s dissipation function. Four different nonlinear shell theories, namely Donnell’s, Sanders-Koiter, Flu¨gge-Lur’e-Byrne and Novozhilov’s theories, are used to calculate the elastic strain energy. The formulation is also valid for orthotropic and symmetric cross-ply laminated composite shells. The large-amplitude response of perfect and imperfect, simply supported circular cylindrical shells to harmonic excitation in the spectral neighbourhood of the lowest natural frequency is computed for all these shell theories. Numerical responses obtained by using these four nonlinear shell theories are also compared to results obtained by Galerkin approach, used to discretise Donnell’s nonlinear shallow-shell equation of motion. A validation of calculations by comparison to experimental results is also performed. Boundary conditions for simply supported shells are exactly satisfied. Different expansions involving from 14 to 48 generalized coordinates, associated to natural modes of simply supported shells, are used. The nonlinear equations of motion are studied by using a code based on arclength continuation method that allows bifurcation analysis.
Sponsorship	Pressure Vessels and Piping Division
Starting Page	103
Ending Page	114
Page Count	12
File Format	PDF
ISBN	0791836452
DOI	10.1115/IMECE2002-32299
Volume Number	Recent Advances in Solids and Structures
Conference Proceedings	ASME 2002 International Mechanical Engineering Congress and Exposition
Language	English
Publisher Date	2002-11-17
Publisher Place	New Orleans, Louisiana, USA
Access Restriction	Subscribed
Subject Keyword	Damping Nonlinear equations Vibration Composite materials Energy dissipation Circular cylindrical shells Shells Bifurcation Boundary-value problems Resonance Excitation Equations of motion
Content Type	Text
Resource Type	Article

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