An investigation of the nonlinear dynamic response of cylindrical shells under transient pressure.
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Authors
Cromer, Charles Clinton
Subjects
Advisors
Ball, Robert
Date of Issue
1969
Date
April 1969
Publisher
Naval Postgraduate School
Language
en_US
Abstract
A numerical algorithm was developed for computing the
nonlinear dynamic response of a ring-stiffened, nearly circular
cylindrical shell of finite length under transient,
axisymmetric radial loads of arbitrary axial distribution.
Nonlinear Donnell-type equations were solved using Fourier
series expansions of the dependent variables in the circumferential
coordinate, modified finite difference approximations
of the axial derivatives, and Newmark ' s beta-method,
combined with Gauss elimination, for the time integration.
The response of a simply supported shell under an
exponentially decaying, uniform pressure was computed for
peak pressures and total impulses between the static
buckling limit and the dynamic buckling limit. Near the
dynamic buckling limit, the exponential growth of the static
buckling modes dominated; but as the peak pressure was
reduced, the parametrically excited Mathieu modes became
increasingly important. The significance of damping, the
initial imperfections, and nonlinear coupling was also
investigated.
Type
Thesis
Description
Series/Report No
Department
Department of Aeronautics
Organization
Identifiers
NPS Report Number
Sponsors
Funding
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Citation
Distribution Statement
Approved for public release; distribution is unlimited.
Rights
This publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.