Research Article
Jun 1974
Stability of Cylindrical Shells under Random Excitation
Authors: John A. Lepore, M.ASCE, and Robert A. StoltzAuthor Affiliations
Publication: Journal of the Engineering Mechanics Division
Volume 100, Issue 3
Abstract
A Lyapunov-type approach is used in the investigation, and the formulation of the problem is perfectly general in terms of the dynamic system input-output statistical correlation as well as the degree of stochastic interdependency of the excitation processes. The dynamic motion of the system considered can be described by a Hill-type equation with two stochastic parameters. Sufficient conditions are developed to ensure mean-square global stability in terms of statistical parameters of the excitation processes and physical system parameters. Stochastic convergence and mean-square global stability are defined and examined. The shell is considered to be subjected to simultaneous axial and radial stochastic loadings. The results obtained are more general than those formerly available since the present results permit any degree of system input-output correlation as well as any degree of stochastic interdependency between the simultaneous excitation processes. In addition, the techniques utilized in this analysis are capable of being extended to systems involving more than two simultaneous excitations.
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Published In
Journal of the Engineering Mechanics Division
Volume 100 • Issue 3 • June 1974
Pages: 531 - 546
Copyright
© 1974 American Society of Civil Engineers.
History
Published in print: Jun 1974
Published online: Feb 3, 2021
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Affiliations
John A. Lepore, M.ASCE
Assoc. Prof. of Civ. Engrg., Grad. Div. of Civ. and Urban Engrg., Dept. of Civ. and Urban Engrg., Univ. of Pennsylvania, Philadelphia, Pa.
Robert A. Stoltz
Research Engr., Bendix Corp., Sylmar, Calif.
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ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.
Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.