This paper presents the results of an investigation oriented to provide an optimized solution to the irregular plane pieces cutting problem using non linear programming techniques. We have utilized polygons for the modelling of irregular pieces. In the modelling of restrictions that constrain the superposition of figures, we considered the angles between sides of the different pieces, which are related to the geometry of the problem. Our results demonstrate that this methodology has too large response times.
Further research is needed in order to reduce the response times of the solutions.
This problem has important practical effects in clothes industry and in ship manufacturing. The method used in this work to predict the power coefficient of eolic rotors is the one named zero family of rotors . This method is valid for aerogenerators whose aerodynamic blades are of constant geometry, that means, constant chord in the whole length of the blade. One family is composed of a series of rotors whose member characteristics are obtained from a systematic variation of chosen geometric parameters. Lagrangian shape functions are used for its derivation.