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Article: Simulating Flexible Origami Structures by Finite Element Method

TitleSimulating Flexible Origami Structures by Finite Element Method
Authors
KeywordsOrigami
Corotational method
Finite element
Crease
Fold angle
Elastic hinge
Issue Date2021
PublisherSpringer Netherlands. The Journal's web site is located at http://link.springer.com/journal/10999
Citation
International Journal of Mechanics and Materials in Design, 2021, v. 17 n. 4, p. 801-829 How to Cite?
AbstractMost origamis are composed of triangular and quadrilateral facets. Since creases are practically straight, facets can be modelled as 3-node triangles (T3) and 4-node quadrilaterals (Q4) with translational nodal dofs only. While bending is not possible in T3, a corotational consideration is employed to quantify the bending deformation in Q4 under large displacement/rotation but small strain/curvature. The pertinent tangential stiffness matrix turns out to be a simple constant matrix. Meanwhile, the fold angle of the crease is computed by the dot product of two vectors connecting the crease and nodes defining the adjacent facets. Derivatives of the fold angle are considerably simplified by invoking the small strain/curvature behaviour of the facet. To manoeuver the origami from its initial to final configuration, rest angles defining the zero energy states of the creases are changed to their target values incrementally. The proposed methods of quantifying the bending deformation in Q4 and the derivative of the fold angle are implemented in a commercial software using two user-defined element subroutines. They together with the built-in 3D membrane elements realize the simulation and analysis of origami in a finite element environment. Furthermore, the element for modelling the crease is equally applicable to modelling spring-loaded hinges.
Persistent Identifierhttp://hdl.handle.net/10722/299727
ISSN
2023 Impact Factor: 2.7
2023 SCImago Journal Rankings: 0.763
ISI Accession Number ID

 

DC FieldValueLanguage
dc.contributor.authorHu, YC-
dc.contributor.authorZhou, YX-
dc.contributor.authorKwok, KW-
dc.contributor.authorSze, KY-
dc.date.accessioned2021-05-26T03:28:13Z-
dc.date.available2021-05-26T03:28:13Z-
dc.date.issued2021-
dc.identifier.citationInternational Journal of Mechanics and Materials in Design, 2021, v. 17 n. 4, p. 801-829-
dc.identifier.issn1569-1713-
dc.identifier.urihttp://hdl.handle.net/10722/299727-
dc.description.abstractMost origamis are composed of triangular and quadrilateral facets. Since creases are practically straight, facets can be modelled as 3-node triangles (T3) and 4-node quadrilaterals (Q4) with translational nodal dofs only. While bending is not possible in T3, a corotational consideration is employed to quantify the bending deformation in Q4 under large displacement/rotation but small strain/curvature. The pertinent tangential stiffness matrix turns out to be a simple constant matrix. Meanwhile, the fold angle of the crease is computed by the dot product of two vectors connecting the crease and nodes defining the adjacent facets. Derivatives of the fold angle are considerably simplified by invoking the small strain/curvature behaviour of the facet. To manoeuver the origami from its initial to final configuration, rest angles defining the zero energy states of the creases are changed to their target values incrementally. The proposed methods of quantifying the bending deformation in Q4 and the derivative of the fold angle are implemented in a commercial software using two user-defined element subroutines. They together with the built-in 3D membrane elements realize the simulation and analysis of origami in a finite element environment. Furthermore, the element for modelling the crease is equally applicable to modelling spring-loaded hinges.-
dc.languageeng-
dc.publisherSpringer Netherlands. The Journal's web site is located at http://link.springer.com/journal/10999-
dc.relation.ispartofInternational Journal of Mechanics and Materials in Design-
dc.rightsThis version of the article has been accepted for publication, after peer review (when applicable) and is subject to Springer Nature’s AM terms of use, but is not the Version of Record and does not reflect post-acceptance improvements, or any corrections. The Version of Record is available online at: http://dx.doi.org/10.1007/s10999-021-09538-w-
dc.subjectOrigami-
dc.subjectCorotational method-
dc.subjectFinite element-
dc.subjectCrease-
dc.subjectFold angle-
dc.subjectElastic hinge-
dc.titleSimulating Flexible Origami Structures by Finite Element Method-
dc.typeArticle-
dc.identifier.emailKwok, KW: kwokkw@hku.hk-
dc.identifier.emailSze, KY: kysze@hku.hk-
dc.identifier.authorityKwok, KW=rp01924-
dc.identifier.authoritySze, KY=rp00171-
dc.description.naturepostprint-
dc.identifier.doi10.1007/s10999-021-09538-w-
dc.identifier.scopuseid_2-s2.0-85103255739-
dc.identifier.hkuros322570-
dc.identifier.hkuros324929-
dc.identifier.volume17-
dc.identifier.issue4-
dc.identifier.spage801-
dc.identifier.epage829-
dc.identifier.isiWOS:000631344200001-
dc.publisher.placeNetherlands-

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