Accession Number : ADP000071

Title :   Geometric Programming for Continuous Design Problems,

Corporate Author : MICHIGAN UNIV ANN ARBOR COLL OF ENGINEERING

Personal Author(s) : Diaz,Alejandro ; Papalambros,Panos ; Taylor,John

Report Date : 1981

Pagination or Media Count : 6

Abstract : The present paper examines a certain extension of Geometric Programming for functionals defined in infinite-dimensional space. The intended application is for continuous problems in design optimization. A brief summary of previous work is given and the particular version of the primal problem to be studied is stated. The construction of the dual problem is presented using two approaches, one involving the formulation and reinterpretation of the Lagrangian functional and another utilizing the concepts of conjugate functions. Both approaches give the same results. The (generalized) zero degree of difficulty dual problem is solved exposing the similarities between the continuous case and the more familiar discrete one. Two simple structural design problems are included to illustrate the application of the method. (Author)

Descriptors :   *Mathematical programming, *Geometry, *Structural engineering, *Structural mechanics, Problem solving, Infinite series, Optimization, Lagrangian functions, Formulas(Mathematics)

Distribution Statement : APPROVED FOR PUBLIC RELEASE