The Strongest Columu Design by Constructive Algorithm : Proposal of New Encoding Method of Subchromosome and Its Effect

Abstract

The present paper describes a new encoding method of the subchromosome and its effect on the constructive algorithms (CAs) proposed in the previous paper. In the present subchromosome, two loci in the main chromosome and the direction of transformation are encoded, while in the previous paper only two loci were encoded in the subchromosome. After the present encoding method, one transportation pattern has two different representations. Therefore, randomness of the subchromosome is maintained in the application of the genetic algorithms. To demonstrate the effectiveness of the constructive algorithm combined with the new encoding method, the algorithm is applied to the optimal design problem of the strongest column having clamped-free (C/F) and clamped-simply supported (C/S) ends. It is shown that the optimal design for the C/S condition and the quasi-optimal design, which is almost optimal, for the C/F condition are obtained