Accession Number : ADP000058

Title :   A Self-Contained Theory for Optimum Design of Skeletal Structures and the Global Optimum,


Personal Author(s) : Atrek,Erdal

Report Date : 1981

Pagination or Media Count : 8

Abstract : The minimum weight design of truss and frame systems is considered. Constraints are on stresses, displacements, and cross-sectional areas. Each constraint is coupled to inverses of all design variables. The objective function is applied in two forms. A modified form yields the Lagrange multipliers associated with active constraints. Then the new design variables are computed using the other expression for objective function. An algorithm for adding and deleting constraints within an active set is developed. The solution proceeds without recursive relationships between re-analyses, and some steps may not need optimization procedure. The disjoint optimum of the ten bar truss problem is found during solution. An approach to generate starting vectors towards the global optimum of flexural systems is discussed. The theory is illustrated with a numerical example. (Author)

Descriptors :   *Structural engineering, *Optimization, *Structural mechanics, *Numerical analysis, Structures, Theory, Self contained, Structural analysis, Structural response, Stresses, Displacement, Cross sections, Variables, Lagrangian functions, Multiplication, Algorithms, Trusses, Vector analysis, Flexural properties

Distribution Statement : APPROVED FOR PUBLIC RELEASE