М.Г.Гоман (2000 проект) – Численный анализ нелинейной...
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21 August 2000 IMA 1st Conference on Fractal Geometry, DMU 1 Computational Analysis of Nonlinear Dynamical Systems M.G.Goman Institute of Mathematical and Simulation Sciences De Montfort University, UK
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М.Г.Гоман «Численный анализ нелинейной динамики систем», доклад на 1-й конференции Института математики и приложений (IMA) по фрактальной геометрии, г.Лейстер (Великобритания), 19 сентября 2000 года (проект). M.G.Goman " Computational Analysis of Nonlinear Dynamical Systems ", draft presentation at the IMA (Institute of Mathematics and its Applications) 1st Conference in Fractal Geometry, De Montfort University, Leicester, the UK, 19 September 2000.
Transcript of М.Г.Гоман (2000 проект) – Численный анализ нелинейной...
21 August 2000 IMA 1st Conference on Fractal Geometry, DMU 1
Computational Analysis of Nonlinear Dynamical Systems
M.G.GomanInstitute of Mathematical and Simulation Sciences
De Montfort University, UK
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Contents:
• Nonlinear Dynamics Problems in Aeronautics- Multi-Attractor Aircraft Dynamics (computational study)
- Aerodynamic Asymmetry at High Incidence (wind tunnel experiment interpretation)
• KRIT Toolbox for Nonlinear Investigation and Examples of its Application
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Expanding the Frontiers of |Flight
• Performance and flight envelope- stealth, agility, high capacity and light structures, high incidence, etc.
• Active control technologies, multidisciplinary integrated design, nonlinear mathematical models and methods of analysis.
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Beyond the Normal Flight
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Nonlinear Aircraft Dynamics Problems
• Critical flight regimes investigation
• Closed-loop system dynamics analysis
• Assistance in piloted simulation
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Aircraft Rigid Body Dynamics
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KRIT Toolbox for Nonlinear Dynamics Analysis
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Multi-Attractor Dynamics Investigation (1)
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Multi-Attractor Dynamics Investigation (2)
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Phase Portrait Invetigation
• Steady flight regimes:- normal flight (equilibria);- critical regimes: wing-rock, spin, roll- coupled inertia rotation (equilibria, closed-orbits, toroidalmanifolds, chaotic attractors)
• Regions of attraction:- boundaries of attraction regions- two-dimensional cross sections
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KRIT GUI for Continuation
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KRIT GUI for Phase Portrait Design
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KRIT GUI for Numerical Simulation
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Conclusions:
• The KRIT Toolbox in Matlab provides a broad range of numerical procedures and graphical user interfaces (GUI) for: - nonlinear aircraft dynamics study at high angles of attack, - post-design control laws assessment - assistance in piloted simulation
• The work was funded during last several years by DefenceEvaluation and Research Agency of MoD, UK
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High Incidence Flight Problems Interconnection
