This content is not included in
your SAE MOBILUS subscription, or you are not logged in.
Mathematical Modeling for Optimization of Competition Sailplane Flight: a Preliminary Approach
Technical Paper
2003-01-3622
ISSN: 0148-7191, e-ISSN: 2688-3627
Annotation ability available
Sector:
Language:
English
Abstract
In this work, sailplane symmetrical motion equations including pitch motion controlled by elevator angle are presented. The following effects are especially taken into consideration: i) tail damping due to pitch motion; ii) air density variation according to altitude; iii) presence of vertical and horizontal atmospheric air motions, and iv) non-linearity of CL ′ a curve near stall angle. The mathematical modeling includes the construction of an objective function for competition flight optimization. Making use of the concept of state variables, the minimum time trajectory problem is formulated as an optimal control problem with state constraints. Using simplified control laws and a mathematical programming algorithm, suboptimal trajectories are obtained for the sailplane PIK-20B.
Authors
Citation
de Oliveira, P. and de Freitas Pinto, R., "Mathematical Modeling for Optimization of Competition Sailplane Flight: a Preliminary Approach," SAE Technical Paper 2003-01-3622, 2003, https://doi.org/10.4271/2003-01-3622.Also In
References
- De Jong, J.L. 1981 “The Convex Combination Approach” XVII OSTIV Congress Paderborn, Alemanha 182 201
- Dickmanns, E.D. 1981 “Optimal Dolphin Style Soaring” XVII OSTIV Congress Paderborn, Alemanha 210 212
- Kawabe, H. Goto, N. 1994 “Sailplane Trajectory Optimization” Technology Reports of Kyushu University 67 5 609 616
- Luenberger, D.G. 1984, “Linear and Nonlinear Programing” Addison-Wesley Publishing Company London
- Metzger, D.E. Hedrick, J. K. 1974 “Optimal Flight Paths for Soaring Flight” American Institute of Aeronautics and Astronautics 1 7
- Mozdyniewicz, W. 1981 “Basic Dolphin Tatics” XVII OSTIV Congress Paderborn, Alemanha 174 181
- Pierson, B.L. De Jong, J.L. 1978 “Cross-Country Sailplane Flight as a DynamicOptimization Problem” International Journal for Numerical Methods in Engineering 12 1743 1759
- Pinto, R.L.U. de F. 1991 “Dedução de Condições Necessárias para a Solução de Problemas de Controle Ótimo com Dinâmica Fracionada e Restrições Não-Diferenciadas” Tese de Doutorado Instituto Nacional de Pesquisas Espaciais São José dos Campos, São Paulo 190
- Pinto, R.L.U. de F. 1982 “Estudo da Solução de Problemas de Controle Ótimo na forma de Bolza pelo Método dos Elementos Finitos” Instituto Tecnológico de Aeronáutica São José dos Campos, São Paulo 132
- Pinto, R.L.U. de F. Barros, C.P. de Oliveira, P.H.I.A. 1999 “Um Procedimento Alternativo para Cálculo Aerodinâmico de Aeronaves Leves Subsônicas” VII Congresso Internacional da Engenharia da Mobilidade SAE Brasil, São Paulo
- Press, W.H. Teukolsky, S.A. Vetterling, W.T. Flannery, B.P. 1992 “Numerical Recipes in FORTRAN 77” Second Edition Cambridge University Press Cambridge, USA
- Reichman, H. 1978 “Cross-Country Soaring (Streckensegelflug)” Thomson Publications Santa Monica, Califórnia, EUA 151
- Vanderbei, R.J. 2000 “Case Studies in Trajectory Optimization: Trains, Planes and Others Pastimes” Princeton University 29
- Weinholtz, F.W. 1967 “Teoria Básica do Moderno Vôo de Distância em Planadores” Associação Brasileira de Vôo a Vela São Paulo, Brasil 96