М.Г.Гоман (2000 проект) – Численный анализ нелинейной...
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Transcript of М.Г.Гоман (2000 проект) – Численный анализ нелинейной...
![Page 1: М.Г.Гоман (2000 проект) – Численный анализ нелинейной динамики систем](https://reader033.fdocuments.us/reader033/viewer/2022060111/55634369d8b42a5c7b8b546d/html5/thumbnails/1.jpg)
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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21 August 2000 IMA 1st Conference on Fractal Geometry, DMU 2
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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21 August 2000 IMA 1st Conference on Fractal Geometry, DMU 3
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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21 August 2000 IMA 1st Conference on Fractal Geometry, DMU 4
Beyond the Normal Flight
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21 August 2000 IMA 1st Conference on Fractal Geometry, DMU 5
Nonlinear Aircraft Dynamics Problems
• Critical flight regimes investigation
• Closed-loop system dynamics analysis
• Assistance in piloted simulation
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21 August 2000 IMA 1st Conference on Fractal Geometry, DMU 6
Aircraft Rigid Body Dynamics
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21 August 2000 IMA 1st Conference on Fractal Geometry, DMU 7
KRIT Toolbox for Nonlinear Dynamics Analysis
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21 August 2000 IMA 1st Conference on Fractal Geometry, DMU 8
Multi-Attractor Dynamics Investigation (1)
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21 August 2000 IMA 1st Conference on Fractal Geometry, DMU 9
Multi-Attractor Dynamics Investigation (2)
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21 August 2000 IMA 1st Conference on Fractal Geometry, DMU 10
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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21 August 2000 IMA 1st Conference on Fractal Geometry, DMU 11
KRIT GUI for Continuation
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21 August 2000 IMA 1st Conference on Fractal Geometry, DMU 12
KRIT GUI for Phase Portrait Design
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21 August 2000 IMA 1st Conference on Fractal Geometry, DMU 13
KRIT GUI for Numerical Simulation
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21 August 2000 IMA 1st Conference on Fractal Geometry, DMU 14
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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21 August 2000 IMA 1st Conference on Fractal Geometry, DMU 15
High Incidence Flight Problems Interconnection