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Parametric stability analyses for fluid-loaded thin membranes
KTH, School of Engineering Sciences (SCI), Mechanics, Structural Mechanics.ORCID iD: 0000-0002-3875-927X
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.
Series
TRITA-MEK, ISSN 0348-467X ; 2015:08
Keyword [en]
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
Identifiers
URN: urn:nbn:se:kth:diva-176030ISBN: 978-91-7595-745-6 (print)OAI: oai:DiVA.org:kth-176030DiVA: diva2:865494
Presentation
2015-11-20, lecture hall V1, Teknikringen 76, KTH, Stockholm, 10:30 (English)
Opponent
Supervisors
Note

QC 20151029

Available from: 2015-10-29 Created: 2015-10-28 Last updated: 2015-10-29Bibliographically approved
List of papers
1. Instability of thin circular membranes subjected to hydro-static loads
Open this publication in new window or tab >>Instability of thin circular membranes subjected to hydro-static loads
2015 (English)In: International Journal of Non-Linear Mechanics, ISSN 0020-7462, E-ISSN 1878-5638, Vol. 76, 144-153 p.Article in journal (Refereed) Published
Abstract [en]

Membrane structures subjected to hydrostatic load are prone to undergo large deformations and lose stability. This paper investigates different instability phenomena for a thin, circular and initially flat and horizontal membrane. The Mooney-Rivlin hyper-elastic model is used to provide the material description. An axisymmetric and a 3D model have been set up to show the large deformations and instability behavior with different parameter settings. Numerical examples show that the methods developed are capable to describe the deformation dependent loading conditions and the instability phenomena. The numerical simulations show fundamental differences in the response and instability behavior when the horizontal membrane is loaded from above or below. The parameters of fluids and membranes and the means for introducing the pressure are of essence for interpreting the instability behavior.

Keyword
Thin membrane, Large deformation, Deformation dependent loading, Bifurcation, Parameter dependence
National Category
Applied Mechanics
Identifiers
urn:nbn:se:kth:diva-176059 (URN)10.1016/j.ijnonlinmec.2015.06.010 (DOI)000362135600015 ()2-s2.0-84963717204 (Scopus ID)
Note

QC 20151029

Available from: 2015-10-29 Created: 2015-10-29 Last updated: 2017-12-01Bibliographically approved
2. Multi-parametric stability investigation for gas and uid pressurized thin membranes
Open this publication in new window or tab >>Multi-parametric stability investigation for gas and uid pressurized thin membranes
(English)Manuscript (preprint) (Other academic)
Identifiers
urn:nbn:se:kth:diva-176060 (URN)
Note

QS 2015

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

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Zhou, Yang

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