A synthesis methodology for optimal material selection for structures modeled as an assemblage of truss elements has been presented. Areas for structural elements and (0, 1) material decision variables are used as independent design variables for the synthesis problem. The design problem is posed as a general mixed (0, 1) continuous programming problem. The objective functions considered are the total weight of the structure or the cost of the material. Constraints are imposed on static displacements, static stresses, and natural frequencies. The mixed (0, 1) continuous design problem is solved by combining approximation concepts and branch and bound techniques. High-quality aproximations are constructed using intermediate response quantities and intermediate design variables. The numerical examples demonstrate the feasibility of the proposed design technique. Near-optimal solutions can typically be obtained within 5-10 design iterations. Branch and bound techniques combined with approximation concepts prove to be efficient in terms of the number of analyses required for convergence. The continuous initialization phase (phase I) proved to give good initial feasible discrete designs for the discrete branch and bound phase.
Optimal material selection using branch and bound techniques
Optimale Materialauswahl nach der Verzweigungs- und Begrenzungstechnik
AIAA Journal ; 33 , 2 ; 340-347
1995
8 Seiten, 5 Bilder, 7 Tabellen, 15 Quellen
Aufsatz (Zeitschrift)
Englisch
Optimal Material Selection Using Branch and Bound Techniques
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