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Topology and shape optimization of continuum structures by genetic algorithm and BEM

Kita E., Tamaki T., Tanie H.

Computer Assisted Mechanics and Engineering Sciences

2004

Vol. 11, No. 1

63-75

This paper describes the topology and shape optimization scheme of continuum structures by using genetic algorithm (GA) and boundary element method (BEM). The structure profiles are defined by using the spline function surfaces. Then, the genetic algorithm is applied for determining the structure profile satisfying the design objectives and the constraint conditions. The present scheme is applied to minimum weight design of two-dimensional elastic problems in order to confirm the validity.

2D shape optimization using genetic algorithm

Kita E., Tanie H.

Computer Assisted Mechanics and Engineering Sciences

1998

Vol. 5, nr 3

311-321

This paper presents an optimal design method of continuum structures by genetic algorithm. Profiles of the objects under consideration are represented by the spline functions and then, the chromasomes for the profiles are defined by the coordinates of the control points of the functions and the material code of the structures. The profiles and the material code are optimized by the genetic operations in order to determine the object satisfying the design objectives. The minimum weight design of the plate is considered as a typical example. The present method is applied to the problem in which the profile and the material of the objects are unknown.