An interactive geometry modeling and parametric design platform for isogeometric analysis

Ming Chen Hsu, Chenglong Wang, Austin J. Herrema, Dominik Schillinger, Anindya Ghoshal, Yuri Bazilevs

Research output: Contribution to journalArticlepeer-review

68 Scopus citations


In this paper an interactive parametric design-through-analysis platform is proposed to help design engineers and analysts make more effective use of Isogeometric Analysis (IGA) to improve their product design and performance. We develop several Rhinoceros (Rhino) plug-ins to take input design parameters through a user-friendly interface, generate appropriate surface and/or volumetric models, perform mechanical analysis, and visualize the solution fields, all within the same Computer-Aided Design (CAD) program. As part of this effort we propose and implement graphical generative algorithms for IGA model creation and visualization based on Grasshopper, a visual programming interface to Rhino. The developed platform is demonstrated on two structural mechanics examples - an actual wind turbine blade and a model of an integrally bladed rotor (IBR). In the latter example we demonstrate how the Rhino functionality may be utilized to create conforming volumetric models for IGA.

Original languageEnglish (US)
Pages (from-to)1481-1500
Number of pages20
JournalComputers and Mathematics with Applications
Issue number7
StatePublished - Oct 1 2015

Bibliographical note

Funding Information:
This work is partially supported by the ARO grant No. W911NF-14-1-0296 , Program Manager Dr. Joseph Myers. The work on IBR modeling was supported by NAVAIR , Program Manager Dr. Nam Phan. This material is also partially based upon work supported by the National Science Foundation under Grant No. CNS-1156841 . We thank Matthew Getch, Mariama Wilson, and Alexis Moreno for their initial work on this research. A.J. Herrema is supported by the US National Science Foundation Grant No. DGE-1069283 which funds the activities of the Integrative Graduate Education and Research Traineeship (IGERT) in Wind Energy Science, Engineering and Policy (WESEP) at Iowa State University.

Publisher Copyright:
© 2015 Elsevier Ltd. All rights reserved.


  • Graphical generative algorithms
  • Isogeometric analysis
  • NURBS and T-splines
  • Parametric design
  • Rhino and Grasshopper
  • Visual programming


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