An investigation of reliability-based topology optimization

Collection of Technical Papers - 11th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference

Volumn 3, Issue , 2006, Pages 1825-1835

  Mozumder, Chandan K ^a,c   Patel, Neal M ^a,c   Tillotson, Donald ^a,c   Renaud, John E ^a,c   Tovar, Andrés ^b,c,d  

^a UNIVERSITY OF NOTRE DAME   (United States)

^b UNIVERSIDAD NACIONAL DE COLOMBIA   (Colombia)

^c AIAA   (United States)

^d Department of Mechanical and Mechatronic Engineering ^*  (Colombia)

Author keywords

[No Author keywords available]

Indexed keywords

CONSTRAINT THEORY; CONTINUUM MECHANICS; HEURISTIC METHODS; NONLINEAR SYSTEMS; STRUCTURAL DESIGN; STRUCTURAL OPTIMIZATION;

HEURISTIC STRATEGIES; HOMOGENIZATION APPROACHES; HYBRID CELLULAR AUTOMATA (HCA) METHODS; STATE FUNCTIONS;

TOPOLOGY;

EID: 33846490298     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.2514/6.2006-7058     Document Type: Conference Paper

References (24)

1. Koch, P.N., and Cofer, J. I., "Simulation-Based Design in the face of Uncertainty", Engineous Software, Inc., Cary, NC.
2. Hongman, K., "Statistical Modeling of Simulation Errors and their Reduction via Response Surface Techniques", PhD Dissertation, Virginia Polytechnic Institute and State University, June 2001.
3. Egorov, Igor N., Kretinin, Gennadiy V., and Leshchenko, Igor A., "Robust Design Optimization Strategy of IOSO Technology", Fifth World Congress on Computational Mechanics, July, 2002,
4. Wang, Wei, Wu, Justin (Y.-T.) and Lust, Robert V., "Deterministic Design, Reliability Based Design and Robust Design", Project Report, Southwest Research Institute and General Motors Research & Development Center.
5. Trosset, Michael W., "Managing Uncertainty in Robust Design Optimization", Transparencies from a talk at the Workshop on Optimization Under Uncertainty, Sandia National Laboratories, January 2004.
6. DeLaurentis, Danial A., and Mavris, Dimitri N., "Uncertainty Modeling and Management in Multidisciplinary Analysis and Synthesis", AIAA Journal, Vol. 33, No. 2, February 1995, pp.246-251.
7. Kharmanda, G., Olhohoff, N., Mohamed, A., and Lemaire, M., "Reliability-based Topology Optimization", Structural and Multidisciplinary Optimization, 26:295-307, 2004.
8. th Nordic Seminar on Computational Mechanics, Aalborg, Denmark, 18-19 October, 2002.
9. Patel, N., Tovar, A., and Renaud, J., "Compliant mechanism design using the hybrid cellular automaton method", 1st AIAA Multidisciplinary Design Optimization Specialist Conference, Austin, Texas, April 18-21 2005.
10. Tovar, A., "Bone Remodeling as a Hybrid Cellular Automaton Optimization Process", Ph.D. Dissertation, Aerospace and Mechanical Department, University of Notre Dame, 2004.
11. Agarwal, H., "Reliability Based Design Optimization: Formulations and Methodologies" Ph.D. Dissertation, Aerospace and Mechanical Department, University of Notre Dame, 2004.
12. Patel, N., Agarwal, A., Tovar, A., and J. Renaud, "Reliability Based Topology Optimization using the Hybrid Cellular Automation Method", 46th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference, Austin, Texas, April 18-21, 2005.
13. Mogami, K., Nishiwaki, S., Izui, K., Yoshimura, M., and Kogiso, N., "Reliability-based Structural Optimization of Frame Structures for Multiple Failure Criteria Using Topology Optimization Tecqniques", Struct. Multidisp. Optim., 2006.
14. Haldar, A., and Mahadevan, S, Probability. Reliability and Statistical Methods in Engineering Design, John Wiley and Sons., 2000.
15. Rosenblatt, M., "Remarks on a Multivariate Transformation", The Annals of Mathematical Statistics, volume 23, no. 3, 1952, pp. 470-472.
16. Brietung, K., "Assymptotic Approximation for Multinormal Integral", Journal of Engineering Mechanics, volume 110, no. 3, pp. 357-366.
17. Liu, P.-L., and Kiureghian, A. D., "Optimization Algorithms for Structural Reliability", Structural Safety, volume 9, no. 3, 1991, pp. 161-177.
18. Bendsøe, M. P., and Kikuchi, N., "Generating Optimal Topologies in Optimal Design using a Homogenization Method", Comp. Meth. Appl Mech. Engrg., 17, 1988, pp. 197-224.
19. BendsØe, M. P., "Optimal Shape Design as a Material Distribution Problem", Struct. Optim., 1, 1989, pp. 193-200.
20. Sigmund, O., "A 99 Line Topology Optimization Code Written in MATLAB", Structural and Multidisciplinary Optimization, Vol. 21, 2001, pp. 120-127.
21. Choi, K.K., and Tu., J., "A new study on reliability-based design optimization", Journal of Mechanical Design, ASME, 121:557-564, 1999.
22. Duysinx, P., "Layout Optimization: A Mathematical Programming Approach", Technical Report DCAMM, Report no. 540, University of Liege, January 1997.
23. Maute, K, and Frangopol, D. M., "Reliability-based Design of MEMS Mechanisms by Topology Optimization", Computers and Structures, 81, 2003, pp. 813-824.
24. Jung, H.-S., and Cho, S, "Reliability-based Topology Optimization of Geometrically Nonlinear Structures with Loading and Material Uncertainities", Finite Elements in Analysis and Design, 43, 2004, pp. 311-331.