Document Int. J. Simul. Multidisci. Des. Optim. 1, 49-54 (2007)
DOI: 10.1051/ijsmdo:2007006
An adjacency representation for structural topology optimization using genetic algorithm
B. Sid, M. Domaszewski and F. PeyrautM3M Laboratory, University of Technology of Belfort-Montbeliard, 90010 Belfort Cedex, France
(Received 9 July 2007; accepted 1st November 2007; published online12 December 2007)
Abstract
A new approach for continuum structural topology optimization using genetic
algorithms is presented in this paper. The proposed approach is based on a
representation by adjacency where the principle is founded on the concept of
connectivity of finite elements, considered as cells. This principle is
expressed by an adjacency matrix similar to that used in the graph theory.
The encoding of the structure solutions uses this matrix by transforming it
into a binary string. The research of optimal solution, i.e. the optimal
material distribution, is interpreted in this approach by the determination
of the connectivity of elements (cells). Using density variable, the
approach has some common points with the homogenization techniques. The
proposed approach is tested with simple benchmark applications.
Key words: Topology optimization -- genetic algorithm -- adjacency representation
Correspondence: matthieu.domaszewski@utbm.fr
© ASMDO, EDP Sciences 2007