Cd. Nha et al., AN EVOLUTIONARY STRUCTURAL OPTIMIZATION METHOD FOR SIZING PROBLEMS WITH DISCRETE DESIGN VARIABLES, Computers & structures, 68(4), 1998, pp. 419-431
This paper presents a simple evolutionary method for minimizing the we
ight of structures subject to displacement constraints, where sizing d
esign variables are discrete. Sensitivity numbers for element size red
uction are derived using optimality criteria methods. An optimal desig
n can be obtained by gradually reducing elements which have the lowest
sensitivity numbers until one of the constrained displacements reache
s its given limit. It is shown;that the proposed method can directly d
eal with discrete design variables. A simple smoothing technique is em
ployed to suppress formation of checker-board patterns. Examples are p
rovided to demonstrate the capability of the proposed method for discr
ete sizing optimization problems. (C) 1998 Elsevier Science Ltd. All r
ights reserved.