Singular and Local Optima in Layout Optimization
The major difficulty in problems having singular and local optima is that the solution process might converge to a non optimal design. In this paper, the special circumstances that might lead to these situations are discussed. Singular and local optima, encountered in layout optimization of cross-sectional variables and geometrical variables, are demonstrated. It is shown that the type of the optimum depends on the chosen design variables and preassigned parameters. In addition, both types of optima are associated with different load paths or changes in the topology of the structure. The effect of various preassigned parameters (objective function coefficients, cross-sectional dimensions, geometrical parameters, allowable stresses, limits on the design variables and external loadings) on the optimum is illustrated.
KeywordsDesign Variable Local Optimum Optimal Topology Feasible Region Load Path
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