Transient stability of empty and fluid-filled circular cylindrical shells
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Data
2006-09
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Resumo
In the present work a qualitatively accurate low dimensional model is used to study the
non-linear dynamic behavior of shallow cylindrical shells under axial loading. The
dynamic version of the Donnell non-linear shallow shell equations are discretized by the
Galerkin method. The shell is considered to be initially at rest, in a position corresponding
to a pre-buckling configuration. Then, a harmonic excitation is applied and conditions to
escape from this configuration are sought. By defining steady state and transient stability
boundaries, frequency regimes of instability may be identified such that they may be
avoided in design. Initially a steady state analysis is performed; resonance response
curves in the forcing plane are presented and the main instabilities are identified. Finally,
the global transient response of the system is investigated in order to quantify the degree of
safety of the shell in the presence of small perturbations. Since the initial conditions, or
even the shell parameters, may vary widely, and indeed are often unknown, attention is
given to all possible transient motions. As parameters are varied, transient basins of
attraction can undergo quantitative and qualitative changes; hence a stability analysis
which only considers the steady-state and neglects this global transient behavior, may be
seriously non-conservative.
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Palavras-chave
Cylindrical shells, Nonlinear vibrations, Fluid-structure interaction, Parametric instability
Citação
GONÇALVES, Paulo B.; SILVA, Frederico M. A. da; N. DEL PRADO, Zenon J. G. Transient stability of empty and fluid-filled circular cylindrical shells. Journal of the Brazilian Society of Mechanical Sciences and Engineering, Rio de Janeiro, v. 28, n. 3, p. 331-338, July/Sept. 2006.