Type of Document Dissertation Author Steinbrink, Scott Edward URN etd-020299-084246 Title Geometrically Nonlinear Analysis of Axially Symmetric, Composite Pressure Domes Using the Method of Multiple Shooting Degree PhD Department Engineering Mechanics Advisory Committee
Advisor Name Title Johnson, Eric R. Committee Chair Hyer, Michael W. Committee Member Kapania, Rabesh K. Committee Member Librescu, Liviu Committee Member Plaut, Raymond H. Committee Member Keywords
- Multiple Shooting
Date of Defense 1998-12-04 Availability unrestricted AbstractAn analysis is presented of the linear and geometrically nonlinear static response
of "thin" doubly-curved shells of revolution, under internal pressure loading. The analysis
is based upon direct numerical integration of the governing differential equations, written
in first-order state vector form. It is assumed that the loading and response of the shell
both axially symmetric; the governing equations are thus ordinary differential equations.
The geometry of the shell is limited in the analysis by the assumptions of axisymmetry
and constant thickness. The shell is allowed to have general composite laminate construc-
tion, elastic supports at the edges and internal ring stiffeners. In addition, the analysis
allows for the possibility of circumferential line loads at discrete locations along the
meridian. The problem is a numerically unstable two-point boundary value problem; inte-
grations are performed using the technique of multiple shooting. A development of the
multiple shooting technique known as stabilized marching is given. Results achieved by
use of the multiple shooting technique are verified by comparison to results of finite ele-
ment analysis using the finite element analysis codes STAGS and ABAQUS. Parametric
studies are performed for ellipsoidal domes constructed of symmetric, 8-ply laminates.
The parametric studies examine the effects of dome geometry for a quasi-isotropic lami-
nate first, then examine whether material properties may be adjusted to create a "better"
design. Conclusions and recommendations for future work follow.
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