A Self-Contained Theory for Optimum Design of Skeletal Structures and the Global Optimum,
Abstract
The minimum weight design of truss and frame systems is considered. Constraints are on stresses, displacements, and cross-sectional areas. Each constraint is coupled to inverses of all design variables. The objective function is applied in two forms. A modified form yields the Lagrange multipliers associated with active constraints. Then the new design variables are computed using the other expression for objective function. An algorithm for adding and deleting constraints within an active set is developed. The solution proceeds without recursive relationships between re-analyses, and some steps may not need optimization procedure. The disjoint optimum of the ten bar truss problem is found during solution. An approach to generate starting vectors towards the global optimum of flexural systems is discussed. The theory is illustrated with a numerical example. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jan 01, 1981
- Accession Number
- ADP000058
Entities
People
- Erdal Atrek
Organizations
- Istanbul Technical University