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Multi-parametric stability investigation for thin spherical membranes with contacts
KTH, School of Biotechnology (BIO), Theoretical Chemistry and Biology.
KTH, School of Engineering Sciences (SCI), Mechanics, Structural Mechanics.
KTH, School of Engineering Sciences (SCI), Mechanics, Structural Mechanics.ORCID iD: 0000-0002-5819-4544
2017 (English)In: International Journal of Mechanical Sciences, ISSN 0020-7403, E-ISSN 1879-2162, Vol. 131-132, p. 334-344Article in journal (Refereed) Published
Abstract [en]

The instability behavior for a thin truncated spherical membrane completely filled with fluid or containing both gas and fluid, fixed on a circular platform and in contact with two vertical planes was investigated. Different penalty functions for contacts, and symmetry aspects of the discretized model were studied, and gave effects on instability behavior. Stability conclusions for the multi-parametric problems were made using generalized eigenvalue analyses, showing limit points, bifurcation points and turning point. Contact conditions were shown to introduce bifurcations and secondary paths, dependent on the contact implementations and discretizations. Their effects on stability behaviors in connection with various controlling equations are discussed.

Place, publisher, year, edition, pages
Elsevier, 2017. Vol. 131-132, p. 334-344
Keyword [en]
Augmenting equations, Bifurcations, Generalized paths, Multi-parametric, Penalty formulations
National Category
Applied Mechanics
Identifiers
URN: urn:nbn:se:kth:diva-212217DOI: 10.1016/j.ijmecsci.2017.07.011ISI: 000412960000031Scopus ID: 2-s2.0-85023616908OAI: oai:DiVA.org:kth-212217DiVA, id: diva2:1134722
Note

QC 20170821

Available from: 2017-08-21 Created: 2017-08-21 Last updated: 2017-11-02Bibliographically approved

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