Robust truss topology design via semidefinite programming

SIAM Journal on Optimization

Volumn 7, Issue 4, 1997, Pages 991-1016

  Ben Tal, A ^a   Nemirovski, A ^a  

^a TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

Author keywords

Interior point methods; Robustness; Semidefinite programming; Structural optimization; Truss topology design

Indexed keywords

EID: 0031285674     PISSN: 10526234     EISSN: None     Source Type: Journal    
DOI: 10.1137/S1052623495291951     Document Type: Article

References (12)

1. W. ACHTZIGER, M. P. BENDSØE, A. BEN-TAL, AND J. ZOWE, Equivalent displacement-based formulations for maximum strength truss topology design, Impact Comput. Sci. Eng., 4 (1992), pp. 315-345.
2. M. P. BENDSØE, A. BEN-TAL, AND J. ZOWE, Optimization methods for truss geometry and topology design, Structural Optimization, 7 (1994), pp. 141-159.
3. A. BEN-TAL AND M. P. BENDSØE, A new method for optimal truss topology design, SIAM J. Optim., 3 (1993), pp. 322-358.
4. A. BEN-TAL, M. KOČVARA, AND J. ZOWE, Two nonsmooth approaches to simultaneous geometry and topology design of trusses, Topology Design of Structures, Proc. NATO-ARW, M. P. Bendsøe, ed., Sesimbra, Portugal, 1992.
5. A. BEN-TAL AND A. NEMIROVSKI, Potential reduction polynomial time method for Truss Topology Design, SIAM J. Optim., 4 (1994), pp. 596-612.
6. A. BEN-TAL AND A. NEMIROVSKI, Robust Convex Programming, manuscript, Optimization Laboratory, Faculty of Industrial Engineering and Management at Technion, Haifa, Israel, 1995.
7. P. GAHINET, A. NEMIROVSKI, A. J. LAUB, AND M. CHILALI, LMI Control Toolbox, The Mathworks Partner Series, The MathWorks Inc., Natick, MA, 1995.
8. M. GRÖTSCHEL, L. LOVASZ, AND A. SCHRIJVER, The Ellipsoid Method and Combinatorial Optimization, Springer-Verlag, Heidelberg, 1988.
9. J. M. MULVEY, R. J. VANDERBEI, AND S. A. ZENIOS, Robust optimization of large-scale systems, Oper. Res., 43 (1995), pp. 264-281.
10. YU. NESTEROV AND A. NEMIROVSKI, Interior Point Polynomial Methods in Convex Programming, SIAM Series in Applied Mathematics, Philadelphia, PA, 1994.
11. R. T. ROCKAFELLAR, Convex Analysis, Princeton University Press, Princeton, NJ, 1970.
12. G. ROZVANY, M. P. BENDSØE, AND U. KIRSCH, Layout optimization of structures, Appl. Mech. Rev., 48 (1955), pp. 41-119.