dc.contributor.advisor Kliment, Linda K. dc.contributor.author Kuenn, Aaron Douglas dc.date.accessioned 2014-02-03T16:25:05Z dc.date.available 2014-02-03T16:25:05Z dc.date.issued 2013-08 dc.identifier.other t13061 dc.identifier.uri http://hdl.handle.net/10057/7039 dc.description Thesis (M.S.)--Wichita State University, College of Engineering, Dept. of Aerospace Engineering. dc.description.abstract In this thesis, the lifting-line approximation of a flat, unswept wing, originally attributed to Prandtl, is investigated. The original formulation for a flat wing is examined in detail. The governing integro-differential equation is developed from its components. The optimum and general solutions to the original formulation are presented and discussed. An expanded formulation is presented, which includes the effect of the wake of non-planar wings. The self-induced velocities of the bound vortex on the wing are assumed to be small for practical cases and not included in the model. The case of simple dihedral is considered and the general formulation is simplified to better illustrate the effect of the geometry on the governing equation. For the simplified dihedral case, the optimal solution remains the same as for a flat wing. A simplified finite element model is also included, which accounts for the bending due to the force generated by the bound vortex. This finite element model is combined with the non-planar lifting-line equation to create a static aeroelastic model for a wing. The solution of this problem is iterative, but converges quickly. Lift coefficient and span efficiency factor are provided for a set of wing geometries for cases of dihedral and wing bending, and the trends are examined compared to flat wings. Additionally, the resulting geometries after deformation of the wing are presented and the effect of circulation distribution on the resulting shape is discussed. dc.format.extent xiii 101p. dc.language.iso en_US dc.publisher Wichita State University dc.rights Copyright 2013 Aaron Douglas Kuenn dc.subject.lcsh Electronic dissertations dc.title Non-planar lifting-line theory for fixed and deformable geometries dc.type Thesis
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• AE Theses and Dissertations
Electronic copies of theses and dissertations defended in the Department of Aerospace Engineering
• CE Theses and Dissertations
Doctoral and Master's theses authored by the College of Engineering graduate students
• Master's Theses
This collection includes Master's theses completed at the Wichita State University Graduate School (Fall 2005 --)