Algorithmic and Computational Aspects of the Use of Optimization Methods in Engineering Design
Abstract
The paper deals with the relationship of recent advances in optimization theory, algorithms, and computation to problems of engineering design. The use of point-based optimality criteria for sensitivity analysis is discussed using as an example the design of a cylindrical torsion bar. The use of branch and bound methods for handling nonconvex programming problems to get around the problem of multiple local solutions is illustrated with a problem of reservoir design. An automatic procedure based on a new language for describing mathematical functions is shown as a way to interface between algebraic descriptions of design problems and computer codes implementing more powerful algorithms. This is illustrated by a problem in the design of a space launch vehicle. The capability of converting any optimization problem to a separable problem--thus facilitating the computerized description of the problem--is illustrated by aspects of the design of a vertical corrugated transverse bulkhead. Finally, comments are made concerning the future relationship between optimal engineering design problems and algorithms for solving them.
Document Details
- Document Type
- Technical Report
- Publication Date
- Apr 13, 1972
- Accession Number
- AD0742341
Entities
People
- Garth Philip McCormick
Organizations
- George Washington University