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The ADS general-purpose optimization programThe 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.
Document ID
Acquisition Source
Legacy CDMS
Document Type
Conference Paper
Vanderplaats, G. N.
(Naval Postgraduate School Monterey, CA, United States)
Date Acquired
August 13, 2013
Publication Date
January 1, 1984
Publication Information
Publication: NASA. Langley Research Center Recent Experiences in Multidisciplinary Analysis and Optimization, Part 1
Subject Category
Aircraft Design, Testing And Performance
Accession Number
Distribution Limits
Work of the US Gov. Public Use Permitted.
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