COMPUTATIONAL MORPHOGENESIS OF FREE SURFACE SHELLS CONSIDERING BOTH DESIGNER'S PREFERENCE AND STRUCTURAL RATIONALITY : Part 1 Heuristic approach by multi-objective genetic algorithm

Abstract

The scheme of computational morphogenesis for the shell structures with free curved surface is proposed, where the requirement on both the aesthetic aspect and the structural rationality can be simultaneously satisfied according to the judgment of the designer. In the proposed scheme, Non Uniform Rational B-Spline (NURBS) is utilized by which the number of unknowns can be controlled while the high degree of freedom for expression of the shape of the curved surface is maintained. For the scale index concerning with the aesthetic aspect, the degree of difference between the curved surfaces given by the designers and those given by computation has been adopted and, on the other hand, the strain energy of the structures has been adopted as the quantitative scale for the mechanical measurement. Consequently, the problem in question has been mathematically formulated as the multi-objective optimization problem, where the multi-objective genetic algorithms are utilized for obtaining the Pareto solutions.