Title page for ETD etd-020299-084246


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
  • Shells
  • Nonlinear
  • Multiple Shooting
  • Composite
Date of Defense 1998-12-04
Availability unrestricted
Abstract
An 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

are

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

dome

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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