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Instability investigation for rotating thin spherical membrane
KTH, School of Engineering Sciences (SCI), Mechanics, Structural Mechanics.ORCID iD: 0000-0002-3875-927X
KTH, School of Engineering Sciences (SCI), Mechanics.ORCID iD: 0000-0002-5819-4544
2017 (English)In: International Journal of Non-Linear Mechanics, ISSN 0020-7462, E-ISSN 1878-5638, Vol. 97, p. 96-106Article in journal (Refereed) Published
Abstract [en]

A fluid-filled truncated spherical membrane fixed along its truncated edge to a horizontal, rigid and frictionless plane and spinning around a center axis was investigated. A two-parameter Mooney-Rivlin model was used to describe the material of the membrane. The truncated sphere was modeled in 3D using finite element meshes with different symmetry properties. A quadratic function was used for interpolating hydro-static pressure, giving a symmetric tangent stiffness matrix, thereby reproducing the conservative problem. Various problem settings were considered, related to the spinning, and different instability behaviors were observed. Multi-parametric problems were defined, generalized paths including primary and secondary paths were followed. Stability of the multi parametric problem was evaluated using generalized eigenvalue analysis based on the total differential matrix for the constrained problem. Numerical results showed that mesh symmetry affected the simulated stability behavior. Fold line evaluations showed the parametric effects on critical solutions.

Place, publisher, year, edition, pages
2017. Vol. 97, p. 96-106
National Category
Mechanical Engineering
Identifiers
URN: urn:nbn:se:kth:diva-218202DOI: 10.1016/j.ijnonlinmec.2017.09.004ISI: 000414878100009Scopus ID: 2-s2.0-85029698165OAI: oai:DiVA.org:kth-218202DiVA, id: diva2:1161503
Note

QC 20171130

Available from: 2017-11-30 Created: 2017-11-30 Last updated: 2017-11-30Bibliographically approved

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Zhou, YangNordmark, ArneEriksson, Anders

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  • Other locale
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Output format
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