Mathematical modelling in the field of kites Calculation of kites strength, shape and aerodynamic...

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

• 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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Mathematical modelling in the field of kites

Mathematical modelling in the field of kites

• What’s next?

Courtesy of Rensselaer Polytechnic Institute

Courtesy of University of California in Irwing

Courtesy of Ecole Polytechnique de Montréal

Step 32

Step 155

Step 806

The pictures of the airflow around 6*3 pt plate in a 30*30 pt region

Mathematical modelling in the field of kites

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Equations of motion:

Mathematical modelling in the field of kites

Stability of energy production

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here w is wind speed and E is energy production

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Flight optimization

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1. Creating the table of tests

2. Determining Pareto-set

3. Choosing constraints on objectives.

Choice of test pointsEquidistant grid LPτ: all coordinates of all points are different

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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

• 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