A hybrid continuous-discrete approach to large discrete structural optimization problems |
| |
Authors: | Bartlomiej Blachowski Witold Gutkowski |
| |
Affiliation: | (1) Institute of Fundamental Technological Research, Pawinskiego 5b, 02-106 Warsaw, Poland;(2) Institute for Mechanized Construction and Rock Mining, Racjonalizacji 6/8, 02-673 Warsaw, Poland |
| |
Abstract: | Many optimum structural designs are based on searching for the best of all combinations, arising from the number of structural
members, and parameters of listed rolled profiles. Even, in a relatively simple design, the number of such combinations
is of an order higher than ten. All known methods of finding discrete minimum of structural weight require very large number
of analyses often of an order of four. In this study, a relatively simple method of solving such problems is presented.
It is based on a tree graph, representing discrete values of the structural volume. The structure can be subjected to multi
static loadings with constraints imposed on displacements and stresses. The number of analyses, in the proposed algorithm,
is limited to the order of two. The knowledge needed to apply the method is limited to FEM and graph representation. The paper
is illustrated with two examples with numbers of combinations up to 4238. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|