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Multi-parametric stability investigation for gas and uid pressurized thin membranes
KTH, School of Engineering Sciences (SCI), Mechanics, Structural Mechanics.ORCID iD: 0000-0002-3875-927X
KTH, School of Engineering Sciences (SCI), Mechanics, Structural Mechanics.
KTH, School of Engineering Sciences (SCI), Mechanics, Structural Mechanics.ORCID iD: 0000-0002-5819-4544
(English)Manuscript (preprint) (Other academic)
URN: urn:nbn:se:kth:diva-176060OAI: diva2:865778

QS 2015

Available from: 2015-10-29 Created: 2015-10-29 Last updated: 2015-10-29Bibliographically approved
In thesis
1. Parametric stability analyses for fluid-loaded thin membranes
Open this publication in new window or tab >>Parametric stability analyses for fluid-loaded thin membranes
2015 (English)Licentiate thesis, comprehensive summary (Other academic)
Abstract [en]

Membrane structures are commonly used in many elds. The studies of thesestructures are of increasing interest. The two projects focus on the evaluations ofequilibrium states for uid-pressurized membranes under dierent loading conditions,and the corresponding instability behavior.The rst part of the current work discusses the instability behavior of a thin,planar, circular and initially horizontal membrane subjected to downwards or upwards uid pressure. The membrane structures exhibit large deformations under uid pressure. Various instability behaviors have been observed for dierent loadingparameters. Limit and bifurcation points have been detected for dierent loadingconditions. Dierent loading parameters have been used to interpret the instabilitybehavior. The eects on instability of parameters, the initial states of the membrane,and the chosen mesh have been discussed.The second part of the current work discusses instability behavior of a thin,spherical and closed membrane containing gas and uid placed on a horizontal rigidand non-friction plane. A multi-parametric loading has been described. By addingthe practically relevant controlling equations, the complex equilibrium paths werefollowed using the generalized path following algorithm, and the stability conclusionswere made dierently, according to the considered load parameters and theconstraints. A generalized eigenvalue analysis was used to evaluate the stabilitybehavior including the constraint eects. Fold line evaluations were performed toanalyze the parametric dependence of the instability behavior. A solution surfaceapproach was used to visualize the mechanical response under this multi-parametricsetting.

Place, publisher, year, edition, pages
Stockholm: KTH Royal Institute of Technology, 2015. xii, 78 p.
TRITA-MEK, ISSN 0348-467X ; 2015:08
Membranes, Hydro-static load, Multi-parametric loading, Bifurcations, Generalized path-following, Fold lines, Mesh eects, Augmenting equations, Generalized eigenproblem, Solution surface.
National Category
Applied Mechanics
Research subject
Engineering Mechanics
urn:nbn:se:kth:diva-176030 (URN)978-91-7595-745-6 (ISBN)
2015-11-20, lecture hall V1, Teknikringen 76, KTH, Stockholm, 10:30 (English)

QC 20151029

Available from: 2015-10-29 Created: 2015-10-28 Last updated: 2015-10-29Bibliographically approved

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Zhou, YangNordmark, ArneEriksson, Anders
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