An Improved Computational Approach for Multilevel Optimum Design∗
- 1 January 1984
- journal article
- research article
- Published by Informa UK Limited in Journal of Structural Mechanics
- Vol. 12 (2), 245-261
- https://doi.org/10.1080/03601218408907471
Abstract
Recently there has been a growing interest in methods that decompose complex optimization problems and employ a multilevel or hierarchical approach. One of the most irksome problems with the hierarchical approach is the discontinuous behavior of derivatives that are transferred from the lower levels of the hierarchy to the upper levels. This paper proposes a hierarchical algorithm that is free of such difficulties. A penalty function method is employed, in combination with Newton's method with approximate second derivatives, to perform the optimization. The penalty function formulation is shown to be natural for multilevel problems. A simple three-bar truss and a simple frame problem are used for demonstrationKeywords
This publication has 14 references indexed in Scilit:
- Extrapolation of optimum design based on sensitivity derivativesAIAA Journal, 1983
- Sensitivity of Optimum Solutions of Problem ParametersAIAA Journal, 1982
- Optimum design sensitivity based on approximation concepts and dual methodsPublished by American Institute of Aeronautics and Astronautics (AIAA) ,1982
- Multilevel Optimum Design of Structures with Fiber-Composite Stiffened-Panel ComponentsAIAA Journal, 1982
- A Practical Method for the Rational Design of Ship StructuresJournal of Ship Research, 1980
- Decomposition in Optimum Structural DesignJournal of the Structural Division, 1979
- MultiLevel Approach to Minimum Weight Deesign Including Buckling ConstraintsAIAA Journal, 1978
- A Mixed Optimization Method for Automated Design of Fuselage StructuresJournal of Aircraft, 1972
- Optimum Design by Partitioning Into SubstructuresJournal of the Structural Division, 1972
- Procedure for Automating Aircraft Wing Structural DesignJournal of the Structural Division, 1971