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Constrained stability of conservative static equilibrium
KTH, School of Engineering Sciences (SCI), Mechanics, Structural Mechanics.ORCID iD: 0000-0002-5819-4544
KTH, School of Engineering Sciences (SCI), Mechanics, Structural Mechanics.ORCID iD: 0000-0002-9934-2945
2019 (English)In: Computational Mechanics, ISSN 0178-7675, E-ISSN 1432-0924, Vol. 64, no 4, p. 1199-1219Article in journal (Refereed) Published
Abstract [en]

Modelling of static structural stability problems is considered. Focus is set on problems where passive physical constraints affect the response to applied forces, and where more than one free parameter describes the setting. The existence of vibration frequencies at equilibrium states is investigated, as an indication of stability. The relevant Jacobian matrix is developed, with an emphasis on the necessity to formulate the constraint equations from an energy form in a conservative problem. The corresponding mass matrix is introduced, with zero mass contribution from constraint equations. Three different forms of the relevant Jacobians are considered, and alternative methods for the eigenvalue extraction given. Stability is discussed in a context of generalized equilibrium problems, where auxiliary parameters and equations can be included in a continuation setting. Examples show the formulation, implementation and interpretation of stability.

Place, publisher, year, edition, pages
SPRINGER , 2019. Vol. 64, no 4, p. 1199-1219
Keywords [en]
Stability, Physical constraints, Parameterized model, Eigenvalue extraction, Equilibrium sequences
National Category
Applied Mechanics
Identifiers
URN: urn:nbn:se:kth:diva-261292DOI: 10.1007/s00466-019-01700-8ISI: 000485928100015Scopus ID: 2-s2.0-85064249818OAI: oai:DiVA.org:kth-261292DiVA, id: diva2:1359204
Note

QC 20191008

Available from: 2019-10-08 Created: 2019-10-08 Last updated: 2019-10-08Bibliographically approved

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Eriksson, AndersNordmark, Arne

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