
Accession Number : ADP000067
Title : Application of a Reduced Quadratic Programming Technique to Optimal Structural Design,
Corporate Author : CARNEGIEMELLON UNIV PITTSBURGH PA
Personal Author(s) : Chao,NienHua ; Fenves,S. J. ; Westerberg,A. W.
Report Date : 1981
Pagination or Media Count : 8
Abstract : A recently developed optimization technique of great practical potential will be presented. The technique is based on two developments. First, it utilizes a successive Quadratic Programming algorithm originally presented by Han and implemented by Powell for solving nonlinear constrained optimization problems. A QuasiNewton method in used to approximate the Hessian matrix, resulting in nearquadratic convergence to at least a local optimum. Second, the procedure uses the work of Berna et al., who developed a decomposition procedure for the HanPowell algorithm. The procedure partitions the original design variables into independent and dependent variables, eliminates the dependent variables, and thus yields a much reduced Quadratic Programming problem to be solved at each iteration. Results obtained with the technique for a number of standard test problems, which include the 10 bar truss, the 25 bar truss and the 72 bar truss problems, are in agreement with previous results and show a general reduction of the number of cycles to convergence, especially for the optimal structural design problems with stress constraints only. (Author)
Descriptors : *Structural engineering, *Optimization, *Structural mechanics, *Quadratic programming, Structural analysis, Structural response, Structures, Algorithms, Nonlinear analysis, Approximation(Mathematics), Matrices(Mathematics), Convergence, Quadratic equations, Trusses, Stresses
Distribution Statement : APPROVED FOR PUBLIC RELEASE