期刊
COMPUTER AIDED GEOMETRIC DESIGN
卷 78, 期 -, 页码 -出版社
ELSEVIER
DOI: 10.1016/j.cagd.2020.101815
关键词
Geometry construction; Spline fitting; mu-CT scan data; NURBS volume; Isogeometric analysis; Vibro-acoustics
资金
- International Research Training Group IGDK 1754 Optimization and Numerical Analysis for Partial Differential Equations with Nonsmooth Structures - Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) [188264188/GRK1754]
- Austrian Science Fund (FWF) [W 1244-N18]
We present an algorithm to build a ready to use isogeometric model from scan data gained by a mu-CT scan. Based on a three-dimensional multi-patch reference geometry, which includes the major topological features, we fit the outline, then the cross-section and finally the three-dimensional geometry. The key step is to fit the outline, where a non-linear least squares problem is solved with a Gauss-Newton approach presented by Borges and Pastva (2002). We extend this approach by a regularisation and a precise interpolation of selected data points. The resulting NURBS geometry is ready for applying isogeometric analysis tools for efficient numerical simulations. As a particular example we examine the scan data of a violin bridge and present the complete workflow from the mu-CT scan up to the numerical simulation based on isogeometric mortar methods. We illustrate the relevance of the constructed geometry with a vibro-acoustical application. (C) 2020 Elsevier B.V. All rights reserved.
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