The extension of geometric programming to optimal mechanical design
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Geometric programming was developed in the early 1960's by Clarence Zener, Richard J. Duffin, and Elmore L. Peterson as a method for minimizing a non-linear objective function subject to a set of non-linear inequalities. This dissertation extends the use of geometric programming, alone and in conjunction with other techniques, to the field of mechanical design. Three different design topics are investigated. Geometric programming is used alone and with numerical curve-fitting methods to optimize the design of unfired pressure vessels. The optimal design of journal bearings is performed by geometric programming and a Fibonacci search. Optimal process design is treated by a combination of geometric programming and dynamic programming and is demonstrated using a multipass machining process. An extension of geometric programming called surrogated geometric programming is presented which overcomes some difficulties experienced with geometric programming. A computer program which performs these methods is also presented.
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This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivs 3.0 License.