The ADS general-purpose optimization program
Loading...
Authors
Vanderplaats, G.N.
Subjects
COMPUTER AIDED DESIGN
DESIGN ANALYSIS
OPTIMIZATION
COMPUTER PROGRAMS
COSTS
NONLINEARITY
VARIATIONS
WEIGHT
DESIGN ANALYSIS
OPTIMIZATION
COMPUTER PROGRAMS
COSTS
NONLINEARITY
VARIATIONS
WEIGHT
Advisors
Date of Issue
1984-01
Date
Jan 01, 1984
Publisher
Language
Abstract
The mathematical statement of the general nonlinear optimization problem is given as follows: find the vector of design variables, X, that will minimize f(X) subject to G sub J (x) + or - 0 j=1,m H sub K hk(X) = 0 k=1,l X Lower I approx less than X sub I approx. less than X U over I i = 1,N. The vector of design variables, X, includes all those variables which may be changed by the ADS program in order to arrive at the optimum design. The objective function F(X) to be minimized may be weight, cost or some other performance measure. If the objective is to be maximized, this is accomplished by minimizing -F(X). The inequality constraints include limits on stress, deformation, aeroelastic response or controllability, as examples, and may be nonlinear implicit functions of the design variables, X. The equality constraints h sub k(X) represent conditions that must be satisfied precisely for the design to be acceptable. Equality constraints are not fully operational in version 1.0 of the ADS program, although they are available in the Augmented Lagrange Multiplier method. The side constraints given by the last equation are used to directly limit the region of search for the optimum. The ADS program will never consider a design which is not within these limits.
Type
Conference Paper
Description
SEE ParentDocumentRecord|Ntt=19870002284 "NASA. Langley Research Center Recent Experiences in Multidisciplinary Analysis and Optimization, Part 1"; p. 10 p
Series/Report No
Department
Organization
Unspecified Center
Identifiers
NPS Report Number
Sponsors
Funder
Format
Citation
Distribution Statement
Approved for public release; distribution is unlimited.
Rights
This publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.