Convex approximation of the design space in the aircraft wing optimization problem
- Authors: Bedrintsev A.A.1, Chepyzhov V.V.1
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Affiliations:
- Kharkevich Institute for Information Transmission Problems
- Issue: Vol 61, No 12 (2016)
- Pages: 1411-1418
- Section: Mathematical Models and Computational Methods
- URL: https://journals.rcsi.science/1064-2269/article/view/197752
- DOI: https://doi.org/10.1134/S1064226916120032
- ID: 197752
Cite item
Abstract
A convex approximation of the design space of the submodel of the aircraft wing, which describes the set the wing airfoils in chosen cross-sections, is constructed. In the available model, constraints specifying a nonconvex space are imposed on the cross-section parameters. In the course of the wing modeling procedure, dimensionality reduction methods, which enable wing description with some error by a lesser number of parameters, are used. In this paper, we propose an approach allowing one to replace with the same error constraints specifying a nonconvex set by a system of inequalities describing a convex polyhedron. In the obtained model, the system of constraints for each cross-section can be replaced by one constraint in the form of an extremal ellipsoid constructed based on a set of available reference airfoils.
About the authors
A. A. Bedrintsev
Kharkevich Institute for Information Transmission Problems
Author for correspondence.
Email: alekseybed@phystech.edu
Russian Federation, Moscow, 127051
V. V. Chepyzhov
Kharkevich Institute for Information Transmission Problems
Email: alekseybed@phystech.edu
Russian Federation, Moscow, 127051
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