On curvature control in node-based shape optimization
Schmitt O, Steinmann P (2015)
Publication Language: English
Publication Type: Conference contribution
Publication year: 2015
Publisher: Wiley
City/Town: Lecce, Italy
Book Volume: -
Pages Range: 579-580
Conference Proceedings Title: PAMM
Event location: Lecce, Italy
Abstract
We present and compare three approaches to control of the curvature of the domain boundary in two–dimensional shape optimization. Since the coordinates of the FE–nodes are used as design variables, objective and constraint functions have to be formulated in terms of the nodal coordinates. Therefore we investigate various formulations for the curvature of the domain boundary in terms of the coordinates of the boundary nodes. In addition, the sensitivities of these expressions with respect to the design nodes are required for the application of gradient–based optimization algorithms.
Authors with CRIS profile
Oliver Schmitt
Lehrstuhl für Technische Mechanik (LTM)
Paul Steinmann
Lehrstuhl für Technische Mechanik (LTM)
How to cite
APA:
Schmitt, O., & Steinmann, P. (2015). On curvature control in node-based shape optimization. In PAMM (pp. 579-580). Lecce, Italy, IT: Lecce, Italy: Wiley.
MLA:
Schmitt, Oliver, and Paul Steinmann. "On curvature control in node-based shape optimization." Proceedings of the GAMM 2015, Lecce, Italy Lecce, Italy: Wiley, 2015. 579-580.
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