By Zenon Waszczyszyn
The articles during this e-book current complicated gentle tools regarding genetic and evolutionary algorithms, immune structures, formula of deterministic neural networks and Bayesian NN. Many realization is paid to hybrid structures for inverse research fusing delicate tools and the finite aspect procedure. Numerical potency of those tender tools is illustrated at the research and layout of complicated engineering buildings.
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Additional info for Advances of Soft Computing in Engineering (CISM International Centre for Mechanical Sciences, 512)
Graphs allow one to model the connectivity between nodes while varying the location of the nodes (Borkowski and Grabska, 1995). This gives them a distinct advantage over the ground structure method and generally for problems which involve linear and connected elements, a graph representation is very good. Yang (2000) presents a simple method of using a tree based structure to describe trusses (Figure 27 and Figure 28). e. the lines connecting the nodes in the graph). In the above case, the edges are given zero values but they could easily contain properties such as the cross sectional area of the structural component, etc.
The initial population consists of randomly created solutions and from these one hopes to generate suitable structural forms. The shape on the left shows a solution from an early stage of the process. It can be seen that there are a number of isolated sections of material. As the load is applied at the top and supported at the base, there is no way that these can form any part of the main structure. However, at a later stage when being combined with another chromosome using crossover, these isolated voxels may link up with other voxels and form part of a useful structure.
However once recombination has been accomplished, the altered sections are reinserted into the building and all other adjacent partitions updated (as with the mutation operator described above) (Figure 20). 22 Fitness Function OBGrid applies the same ﬁtness function as BGrid to each partition in the ﬂoor plan and aggregates the results. 38 J. Miles Figure 20. 23 Illustrative Example: An Orthogonal Building The following test case was designed to assess OBGrid’s performance. The basic ﬂoor plan is given in Figure 21 and the partitioned ﬂoor plan is shown in Figure 22.
Advances of Soft Computing in Engineering (CISM International Centre for Mechanical Sciences, 512) by Zenon Waszczyszyn