Minimum cost design of laterally loaded welded rectangular cellular plates

Material and fabrication costs are included in the cost function. The fabrication cost is calculated by three formulae relating to the preparation, welding and additional costs. The design constraints are related to bending stresses, the local buckling of ribs due to bending and shear and to the limitation of the plate thicknesses. The local buckling of the compressed face plate elements is considered by an effective width calculation. In the numerical examples, the variables are the plate dimensions and the numbers of ribs in two directions. The optimization is carried out for steel Fe 360 and Fe 510 and for various values of the fabrication cost factor. The computations are performed by using the backtrack discrete combinatorial method, Rosenbrock's Hillclimb method and the FSQP method developed by Zhou and Tits (1992), and the results are compared with each other.Partly presented at the international conference Structural Optimization '93, Rio de Janeiro, August 2–6, 1993.