Title: Coupling non-conforming NURBS patches in isogeometric analysis of complex thin shell structures
Authors: Coox, Laurens
Greco, Francesco
Maurin, Florian
Vandepitte, Dirk
Desmet, Wim
Issue Date: 19-Sep-2016
Host Document: Proceedings of the 27th International Conference on Noise and Vibration Engineering (ISMA2016) vol:27
Conference: ISMA2016 edition:27 location:Leuven, Belgium date:19-21 September 2016
Article number: 577
Abstract: Isogeometric analysis allows the use of shell formulations without rotational degrees of freedom, but describing complex geometries typically requires multiple NURBS patches, that are often non-conforming. This work presents a flexible method for coupling such multipatch geometries in isogeometric frameworks and applies it to rotationless Kirchhoff-Love shell analysis. The rotationless formulation requires the enforcing of C1-continuity across patch interfaces. The present work does this by satisfying interface constraints in a master-slave formulation, where the interface constraints can be derived using only the mesh information. Eliminating the slave variables from the system of equations results in a reduced system matrix. Whereas the C0-part of the coupling is a global coupling in the weak form, the C1-continuity is enforced by a strong point-wise coupling in certain well-chosen collocation points along the interface. The proposed method can be applied without any user interaction, both for conforming and for non-conforming patch configurations. This is demonstrated for a set of problems of dynamic shell analysis. Together with the rotationless character of the isogeometric shell formulation, the coupling method allows analysing complex shell structures in a computationally efficient manner.
Publication status: published
KU Leuven publication type: IC
Appears in Collections:Production Engineering, Machine Design and Automation (PMA) Section
Studiegebied Industriƫle Wetenschappen & Technologie - VIVES Noord

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