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.


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    Title :

    Optimal material selection using branch and bound techniques


    Additional title:

    Optimale Materialauswahl nach der Verzweigungs- und Begrenzungstechnik


    Contributors:

    Published in:

    AIAA Journal ; 33 , 2 ; 340-347


    Publication date :

    1995


    Size :

    8 Seiten, 5 Bilder, 7 Tabellen, 15 Quellen




    Type of media :

    Article (Journal)


    Type of material :

    Print


    Language :

    English







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