Topology optimization with displacement constraints: A bilevel programming approach

Structural Optimization

Volumn 14, Issue 4, 1997, Pages 256-263

  Kocvara M ^a  

^a UNIVERSITY OF ERLANGEN NUREMBERG   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; CONSTRAINT THEORY; MATHEMATICAL MODELS; MATHEMATICAL PROGRAMMING; TRUSSES;

BILEVEL PROGRAMMING; DISPLACEMENT CONSTRAINTS; TOPOLOGY OPTIMIZATION;

STRUCTURAL DESIGN;

EID: 0031342841     PISSN: 09344373     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF01197948     Document Type: Article

References (9)

1. Achtziger, W. 1997: Multiple load truss topology and sizing optimization. Some properties of minimax compliance. J. Optimiz. Theory & Approx. (to appear)
2. Bendsøe, M. 1995: Optimization of structural topology, shape and material. Berlin, Heidelberg, New York: Springer
3. Bendsøe, M.; Ben-Tal, A.; Zowe, J. 1994: Optimization methods for truss geometry and topology design. Struct. Optim. 7, 141-159
4. Hiriart-Urruty, J.-B.; Lemaréchal, C. 1991: Convex analysis and minimization algorithms I and II. Berlin, Heidelberg, New York: Springer
5. Jarre, F.; Kočvara, M.; Zowe, J. 1996: Interior point methods for mechanical design problems. Preprint 173, Inst. Appl. Math., Univ. Erlangen. Also: SIAM J. Optimiz. (submitted)
6. Kočvara, M.; Outrata, J.V. 1995: On the solution of optimum design problems with variational inequalities. Singapore: World Scientific Publ.
7. 2 AN Mathematical Modelling and Numerical Analysis (to appear)
8. Kočvara, M.; Zowe, J. 1996: How mathematics can help in design of mechanical structures. In: Griffiths, D.; Watson, G. (eds.) Proc. 16th Biennial Conf. on Numerical Analysis, pp. 76-93. Harlow: Longman Scientific and Technical
9. Schramm, H.; Zowe, J. 1992: A version of the bundle idea for minimizing a nonsmooth function: conceptual idea, convergence analysis, numerical results. SIAM J. Optimiz. 2, 121-152.