dc.contributor.author	Steinbrink, Scott Edward	en
dc.contributor.committeechair	Johnson, Eric R.	en
dc.contributor.committeemember	Librescu, Liviu	en
dc.contributor.committeemember	Plaut, Raymond H.	en
dc.contributor.committeemember	Hyer, Michael W.	en
dc.contributor.committeemember	Kapania, Rakesh K.	en
dc.contributor.department	Engineering Mechanics	en
dc.date.accessioned	2014-03-14T20:07:05Z	en
dc.date.adate	2000-04-02	en
dc.date.available	2014-03-14T20:07:05Z	en
dc.date.issued	1998-12-04	en
dc.date.rdate	2000-04-02	en
dc.date.sdate	1999-02-02	en
dc.description.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 construction, 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; integrations 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 element 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 laminate first, then examine whether material properties may be adjusted to create a "better" design. Conclusions and recommendations for future work follow.	en
dc.description.degree	Ph. D.	en
dc.identifier.other	etd-020299-084246	en
dc.identifier.sourceurl	http://scholar.lib.vt.edu/theses/available/etd-020299-084246/	en
dc.identifier.uri	http://hdl.handle.net/10919/26099	en
dc.publisher	Virginia Tech	en
dc.relation.haspart	front1.pdf	en
dc.relation.haspart	front2.pdf	en
dc.relation.haspart	toc.pdf	en
dc.relation.haspart	lof.pdf	en
dc.relation.haspart	chap1.pdf	en
dc.relation.haspart	chap2.pdf	en
dc.relation.haspart	chap3.pdf	en
dc.relation.haspart	chap4.pdf	en
dc.relation.haspart	chap5.pdf	en
dc.relation.haspart	chap6.pdf	en
dc.relation.haspart	chap7.pdf	en
dc.relation.haspart	refs.pdf	en
dc.relation.haspart	vita.pdf	en
dc.rights	In Copyright	en
dc.rights.uri	http://rightsstatements.org/vocab/InC/1.0/	en
dc.subject	Shells	en
dc.subject	Nonlinear	en
dc.subject	Multiple Shooting	en
dc.subject	Composite	en
dc.title	Geometrically Nonlinear Analysis of Axially Symmetric, Composite Pressure Domes Using the Method of Multiple Shooting	en
dc.type	Dissertation	en
thesis.degree.discipline	Engineering Mechanics	en
thesis.degree.grantor	Virginia Polytechnic Institute and State University	en
thesis.degree.level	doctoral	en
thesis.degree.name	Ph. D.	en

Geometrically Nonlinear Analysis of Axially Symmetric, Composite Pressure Domes Using the Method of Multiple Shooting

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