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Mathematical modelling in the field of kites

Calculation of kites strength, shape and aerodynamic coefficients Material Science, Solid mechanics, Aerodynamics, Aeroelasticity Finding kites trajectory, speed and attitude Multi-body dynamics Laddermill control Stability, optimization and optimal control.

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Mathematical modelling in the field of kites

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  1. Calculation of kites strength, shape and aerodynamic coefficients Material Science, Solid mechanics, Aerodynamics, Aeroelasticity Finding kites trajectory, speed and attitude Multi-body dynamics Laddermill control Stability, optimization and optimal control Problems of aerodynamics Airflow around the kite Finding the aerodynamic coefficients Problems of aeroelasticity Finding the shape of the kite under air load Finding the aerodynamic coefficients Problems of solid mechanics Prediction of fatigue and failure of kite materials and structure Prediction of life cycle length Mathematical modelling in the field of kites

  2. Mathematical modellingin the field of kites

  3. Mathematical modellingin the field of kites

  4. What’s next? Mathematical modellingin the field of kites Courtesy of University of California in Irwing Courtesy of Rensselaer Polytechnic Institute Courtesy of Ecole Polytechnique de Montréal

  5. Mathematical modellingin the field of kites The pictures of the airflow around 6*3 pt plate in a 30*30 pt region Step 32 Step 155 Step 806

  6. Mathematical modellingin the field of kites Equations of motion: Initial conditions: and . Here:

  7. Stability of energy production here w is wind speed and E is energy production

  8. a T Δ Δ  a Flight optimization 1. Creating the table of tests 2. Determining Pareto-set 3. Choosing constraints on objectives.

  9. Choice of test points Equidistant grid LPτ: all coordinates of all points are different

  10. Calculation of kites strength, shape and aerodynamic coefficients Material Science, Solid mechanics, Aerodynamics, Aeroelasticity Finding kites trajectory, speed and attitude Multi-body dynamics Laddermill control Stability, optimization and optimal control Problems of aerodynamics Airflow around the kite Finding the aerodynamic coefficients Problems of aeroelasticity Finding the shape of the kite under air load Finding the aerodynamic coefficients Problems of solid mechanics Prediction of fatigue and failure of kite materials and structure Prediction of life cycle length Mathematical modelling in the field of kites

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