Run the Script Maple.m to generate all the Plots and Dynamics Equations for the Autorotating Maple Seed Payload.
The Script Produces:
- Shape of the Maple Seed Payload
- Twist Angle for 3D Modelling
- Angle of Attack of the Propellor
- Lift Coefficient vs the Distance from Center of Mass
- Accelaration wrt time
- Descent Velocity wrt time
- Displacement wrt time
- Angular Velocity wrt time
- For Design we have used the following functions :
- find_chord.m : This function calculates the Chord length for each segment of the Maple seed at a distance 'R' from the Centre of Mass.
- find_theta.m : This function calculates the angle between the chord of each segment and the horizontal i.e. Angle of Twist.
- For Dynamics we have used the following functions
- find_alpha_cl.m : This function calculates the effective angle between the chord of each segment and the horizontal i.e. including the Angle of Twist and the Angle between the Vertical and tangential velocity.
- find_surface_area.m : This function calculates the effective surface area that provides the Lift.
- Maple.m : This script contains the equations to calculate Lift, Drag, distance, velocity, acceleration, angular velocity and angular acceleration using the above functions.
- Dowload and unzip all the MATLAB codes(.m files) into the same folder.
- Then run the MATLAB script Maple.m to generate the plots
- chord length v/s R
- Twist angle v/s R
- Angle of attack v/s R
- Coefficient of Lift v/s R
- acceleration v/s time
- velocity v/s time
- distance v/s time
- Angular velocity v/s time
- The values of initial velocity and mass can be changed within the MATLAB script Maple.m