Optimal topologies in case of probabilistic loading: The influence of load correlation

Mechanics Based Design of Structures and Machines

Volumn 37, Issue 3, 2009, Pages 327-348

  Lógó, János ^a,b   Ghaemi, Mohsen ^a   Rad, Majid Movahedi ^a  

^a BUDAPEST UNIVERSITY OF TECHNOLOGY AND ECONOMICS   (Hungary)

^b NONE   (Hungary)

Author keywords

Compliance; Joint distribution; Optimal design; Optimality criteria; Probability; Stochastic programming; Topology optimization

Indexed keywords

COMPLIANCE; JOINT DISTRIBUTION; OPTIMAL DESIGN; OPTIMALITY CRITERIA; TOPOLOGY OPTIMIZATION;

DESIGN; NORMAL DISTRIBUTION; OPTIMAL SYSTEMS; STOCHASTIC PROGRAMMING; STRUCTURAL OPTIMIZATION; TOPOLOGY; UNCERTAINTY ANALYSIS;

DISTRIBUTION FUNCTIONS;

EID: 70349089729     PISSN: 15397734     EISSN: 15397742     Source Type: Journal    
DOI: 10.1080/15397730902936328     Document Type: Article

References (24)

1. Calaore, G. C., Dabbene, F. (2008). Optimization under uncertainty with applications to design of truss structures. Structural and Multidisciplinary Optimization 35(3):189-200.
2. Grauer, M., Eschenauer, H. A. (2007). Decomposition and parallelization strategies for solving large-scale MDO problems. GAMM-Mitteilungen 30(2):269-286.
3. Guest, J. K., Igusa, T. (2008). Structural optimization under uncertain loads and nodal locations. Comp. Meth. Appl. Mech. Engrg. 198:116-124.
4. Henriques, A. A., Veiga, J. M. C., Matos, J. A. C., Delgado, J. M. (2008). Uncertainty analysis of structural systems by perturbation techniques. Structural and Multidisciplinary Optimization 35(3):201-212.
5. Jendo, S., Dolinski, K. (eds.). (2003). Reliability-based design and optimization. AMAS Course-RBO '03, IPPT, Warsaw.
6. Kall, P. (1976). Stochastic Linear Programming. Berlin: Springer-Verlag.
7. Kaymaz, I. (2007). Approximation methods for reliability-based design optimization problems. GAMM-Mitteilungen 30(2):255-268.
8. Kaymaz, I., Marti, K. (2007). Reliability-based design optimization for elastoplastic mechanical structures. Computers and Structures 85: 615-625.
9. Lógó, J. (2005). New type of optimal topologies by iterative method. Mechanics Based Design of Structures and Machines 33(2):149-172.
10. Lógó, J. (2007a). New type of optimality criteria method in case of probabilistic loading conditions. Mechanics Based Design of Structures and Machines 35(2):147-162.
11. Lógó, J. (2007b). On the optimal topologies for correlated loading. Seventh World Congress of Structural and Multidisciplinary Optimization, May 21-25, 2007, Seoul, Korea, CD paper, ISBN 978-959384-2-3- 98550.
12. Lógó, J., Ghaemi, M., Vásárhelyi, A. (2007). Stochastic compliance constrained topology optimization based on optimality criteria method. Periodica Polytechnica-Civil Engineering 51(2):5-10.
13. Lógó, J., Ghaemi, M., Movahedi Rad, M. (2008). Optimal topologies with loading uncertainties. In: Schre.er, B. A., Perego, U., eds. Proceedings of 8th World Congress on Computational Mechanics (WCCM8), 5th European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS 2008). Venice, Italy, Jun. 30-Jul. 5, 2008. CIMNE, b-31470-31508
14. Marti, K. (2005). Stochastic Optimization Methods. Berlin: Springer- Verlag.
15. Marti, K. (2007a). Reliability analysis of technical systems/structures by means of polyhedral approximation of the safe/unsafe domain. GAMM-Mitteilungen 30(2):211-254.
16. Marti, K. (2007b). Structural analysis and optimal design under stochastic uncertainty with quadratic cost functions. In: Topping, B. H. V., ed. Civil Engineering Computations: Tools and Techniques. Stirlingshire, United Kingdom: Saxe-Coburg Publications, pp. 173-198.
17. Marti, K. (2008). Computation of probabilities of survival/failure of technical, economic systems/structures by means of piecewise linearization of the performance function. Structural and Multidisciplinary Optimization 35(3):225-244.
18. Marti, K., Stöckl, G. (1999). Optimal (topology) design under stochastic uncertainty. In: SchÜller, G. I., Kafka, P., eds. Safety and Reliability, Vol.2. Rotterdam: Balkema, pp. 1597-1602.
19. Marti, K., Stöckl, G. (2000). Topology and geometry optimization under stochastic uncertainty. In: Level, P. et al., eds. Numerical Methods of Uncertainties: Proceedings EUROMECH 405 Colloquium. Valenciennes: Presses Universitaires Valenciennes, pp. 55-63.
20. Marti, K., Stöckl, G. (2004). Stochastic linear programming methods in limit load analysis and optimal plastic design under stochastic uncertainty. ZAMM 84(10-11):666-677.
21. Prekopa, A. (1995). Stochastic Programming. Budapest: Akademia Kiadó.
22. Rozvany, G. I. N. (1997). Optimization in Structural Mechanics. CISM Courses and Lecture Notes 374. Vienna: Springer-Verlag.
23. Schumacher, A., Olschinka, C. (2008). Robust design considering highly nonlinear structural behavior. Structural and Multidisciplinary Optimization 35(3):263-272.
24. Vietor, T., Van den Akker, S. (2007). Optimization of mechanical structures under special consideration of materials. GAMMMitteilungen 30(2):300-325.