A duality-type method for the design of beams
- Sprekels, Jürgen
- Tiba, Dan
2010 Mathematics Subject Classification
- 49D37 49D05
- variable domains, optimization, nonconvex duality
We discuss the nonconvex optimal shape design problem of minimizing the weight of a loaded beam subject to deflection constraints. We associate to it a convex minimization problem which will play the role of a dual. The algorithm we propose has a global character and iterates between the two optimization problems via a so called "resizing rule".
- Adv. Math. Sci. Appl. 9 (1999) no. 1 pp. 89-102