Swept Volume Parameterization for Isogeometric Analysis

Authors:
M. Aigner;C. Heinrich;B. Jüttler;E. Pilgerstorfer;B. Simeon;A. -V. Vuong
Affiliations:
Institute of Applied Geometry, Johannes Kepler University, Linz, Austria;Institute of Applied Geometry, Johannes Kepler University, Linz, Austria and Siemens Corporate Technology, München, Germany;Institute of Applied Geometry, Johannes Kepler University, Linz, Austria;Institute of Applied Geometry, Johannes Kepler University, Linz, Austria;Zentrum Mathematik, Technische Universität München, Germany;Zentrum Mathematik, Technische Universität München, Germany
Venue:
Proceedings of the 13th IMA International Conference on Mathematics of Surfaces XIII
Year:
2009

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Abstract

Isogeometric Analysis uses NURBS representations of the domain for performing numerical simulations. The first part of this paper presents a variational framework for generating NURBS parameterizations of swept volumes. The class of these volumes covers a number of interesting free-form shapes, such as blades of turbines and propellers, ship hulls or wings of airplanes. The second part of the paper reports the results of isogeometric analysis which were obtained with the help of the generated NURBS volume parameterizations. In particular we discuss the influence of the chosen parameterization and the incorporation of boundary conditions.