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Comparison of some penalty function based optimization procedures for the synthesis of a planar truss

✍ Scribed by B. M. E. De Silva; G. N. C. Grant

Publisher
John Wiley and Sons
Year
1973
Tongue
English
Weight
784 KB
Volume
7
Category
Article
ISSN
0029-5981

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✦ Synopsis

Abstract

The present investigation examines the multibar truss optimization problem in the context of a general class of unconstrained optimization procedures in conjunction with various types of penalty function transformations. Specifically, the problem is transformed into a series of unconstrained minimization problems using the penalty function techniques of Heaviside and SUMT. These are solved using the methods of Rosenbrock (orthogonal directions), Powell (conjugate directions) and Nelder–Mead (Simplex). This resulted in many cases in substantial improvements being recorded over previously reported data. The paper includes a comparative study of the synthesis based on these procedures.

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