Fourier analysis of membrane locking and unlocking

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dc.contributor.authorHiemstra, Rene R.
dc.contributor.authorFuentes, Federico
dc.contributor.authorSchillinger, Dominik
dc.date.accessioned2025-01-20T17:22:25Z
dc.date.available2025-01-20T17:22:25Z
dc.date.issued2023
dc.description.abstractDespite four decades of research membrane locking remains an important issue hindering the development of effective beam and shell finite elements. In this article, we utilize Fourier analysis of the complete spectrum of natural vibrations and propose a criterion to identify and evaluate the severity of membrane locking. To demonstrate our approach, we utilize primal and mixed Galerkin formulations applied to a circular Euler-Bernoulli ring discretized using uniform, periodic B-splines. By analytically computing the discrete Fourier operators, we obtain an exact representation of the normalized error across the entire spectrum of eigenvalues. Our investigation addresses key questions related to membrane locking, including mode susceptibility, the influence of polynomial order, and the impact of shell/beam thickness and radius of curvature. Furthermore, we compare the effectiveness of mixed and primal Galerkin methods in mitigating locking. By providing insights into the parameters affecting locking and introducing a criterion to evaluate its severity, this research contributes to the development of improved numerical methods for thin beams and shells.(c) 2023 Elsevier B.V. All rights reserved.
dc.fuente.origenWOS
dc.identifier.doi10.1016/j.cma.2023.116353
dc.identifier.eissn1879-2138
dc.identifier.issn0045-7825
dc.identifier.urihttps://doi.org/10.1016/j.cma.2023.116353
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/91481
dc.identifier.wosidWOS:001114243100001
dc.language.isoen
dc.revistaComputer methods in applied mechanics and engineering
dc.rightsacceso restringido
dc.subjectMembrane locking
dc.subjectFourier analysis
dc.subjectNatural vibrations
dc.subjectEuler-Bernoulli beam
dc.subjectIsogeometric analysis
dc.titleFourier analysis of membrane locking and unlocking
dc.typeartículo
dc.volumen417
sipa.indexWOS
sipa.trazabilidadWOS;2025-01-12
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