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Structural optimization via a design space hierarchyMathematical programming techniques provide a general approach to automated structural design. An iterative method is proposed in which design is treated as a hierarchy of subproblems, one being locally constrained and the other being locally unconstrained. It is assumed that the design space is locally convex in the case of good initial designs and that the objective and constraint functions are continuous, with continuous first derivatives. A general design algorithm is outlined for finding a move direction which will decrease the value of the objective function while maintaining a feasible design. The case of one-dimensional search in a two-variable design space is discussed. Possible applications are discussed. A major feature of the proposed algorithm is its application to problems which are inherently ill-conditioned, such as design of structures for optimum geometry.
Document ID
19760045348
Document Type
Reprint (Version printed in journal)
External Source(s)
Authors
Vanderplaats, G. N. (NASA Ames Research Center Moffett Field, Calif., United States)
Date Acquired
August 8, 2013
Publication Date
January 1, 1976
Publication Information
Publication: International Journal for Numerical Methods in Engineering
Volume: 10
Issue: 3, 19
Subject Category
STRUCTURAL MECHANICS
Distribution Limits
Public
Copyright
Other