Bounded-But-Unknown uncertainty optimization using design sensitivities and parallel computing: Application to MEMS

Computers and Structures

Volumn 83, Issue 14, 2005, Pages 1134-1149

  Gurav, S P ^a   Goosen, J F L ^a   Vankeulen, F ^a  

^a DELFT UNIVERSITY OF TECHNOLOGY   (Netherlands)

Author keywords

Anti optimization; Bounded But Unknown; Design sensitivities; MEMS; Optimization; Parallel computing; Uncertainties

Indexed keywords

COMPUTATIONAL METHODS; DATABASE SYSTEMS; MICROELECTROMECHANICAL DEVICES; PARALLEL PROCESSING SYSTEMS; PROBLEM SOLVING; SENSITIVITY ANALYSIS; STRUCTURAL OPTIMIZATION;

ANTI-OPTIMIZATION; BOUNDED-BUT-UNKNOWN UNCERTAINTIES; DESIGN SENSITIVITIES; GRADIENT ENHANCED RESPONSE SURFACES (GERS);

STRUCTURAL DESIGN;

EID: 15844401947     PISSN: 00457949     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compstruc.2004.11.021     Document Type: Conference Paper

References (31)

1. Clark JV, Garmire D, last M, Demmel J, Govindjee S. Practical techniques for measuring mems properties. In: Proceedings of the NanoTech 2004, Boston, MA, USA, 7-11 March; 2004
2. Pister K, Introduction to mems design and fabrication. In EECS 245 Reader University of California, Berkeley, CA; 2001. p. 9-45
3. I. Elishakoff Probabilistic methods in the theory of structures 1983 John Wiley and Sons New York
4. I. Elishakoff Whys and hows in uncertainty modelling: chapter 5-are probabilistic and anti-optimization approaches compatible? 1999 Springer Wien
5. Y. Ben-Haim, and I. Elishakoff Convex models of uncertainty in applied mechanics 1990 Elsevier Amsterdam
6. Y. Ben-Haim Robust reliability in the mechanical sciences 1996 Springer Berlin
7. I. Elishakoff An idea of uncertainty triangle Shock Vibrat Dig 22 1990
8. I. Elishakoff, R.T. Haftka, and J.J. Fang Structural design under bounded uncertainty-optimization and anti-optimization Int J Comput Struct 53 1994 1401 1405
9. A.R. de Faria Buckling optimization and antioptimization of composite plates: uncertain loading combinations J Int Numer Methods Eng 53 2002 719 732
10. S. Adali, F. Lene, G. Duvaut, and V. Chiaruttini Optimization of laminated composites subject to uncertain buckling loads Compos Struct 62 2003 261 269
11. M. Lombardi, and R.T. Haftka Anti-optimization technique for structural design under load uncertainties Comput Methods Appl Mech Eng 157 1998 19 31
12. van Keulen F, Damveld HJ, Elishakoff I, Toropov VV. Bounded-but-unknown uncertainties in design optimization. In: Proceedings of the 42nd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference and Exhibit, Seattle, WA, USA, Paper 1242, 16-19 April; 2001. CD-ROM
13. Gurav SP, Vervenne K, Damveld HJ, van Keulen F. Bounded-but-unknown uncertainties in design optimization by combining the multipoint approximation method and design sensitivities. In: Proceedings of the 43rd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference and Exhibit, Denver, CO, USA, Paper 1759, 22-25 April 2002
14. Gurav SP, Langelaar M, Goosen JFL, van Keulen F. Different approaches to deal with bounded-but-unknown uncertainties: application to mems. In: Proceedings of the 5th World Conference on Structural and Multidisciplinary Optimization, Venice, Italy, 19-23 May 2003
15. F. van Keulen, and H. de Boer Rigorous improvement of semi-analytical design sensitivities by exact differentiation of rigid body motions Int. J. Numer Methods Eng 42 1998 71 91
16. H. de Boer, and F. van Keulen Refined semi-analytical design sensitivities Int. J. Solids Struct 37 46-47 2000 6961 6980
17. F. van Keulen, and K. Vervenne Gradient-enhanced response surface building Struct. Multidisc. Optim. 27 5 2004 337 351
18. Vervenne K, van Keulen F. An alternative approach to response surface building using gradient information. In: Proceedings of the 43rd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference and Exhibit, Denver, CO, USA, Paper 1584, 22-25 April 2002. CD-ROM
19. M. Lutz Programming Python 2001 O'Reilly
20. B.P. van Drieënhuizen, J.F.L. Goosen, P.J. French, and R.F. Wolffenbaffel Comparison of techniques for measuring both compressive and tensile stress in thin films Sens Actuat 37-38 1993 756 765
21. Goosen JFL, van Drieënhuizen BP French PJ Wolffenbuttel RF. Stress measurements structures for micromachined sensors. In: Proc. Transducers'93; 1993. p. 783-6
22. A.I. Khuri, and J.A. Cornell Response surfaces, design and analyses 2nd ed., revised and expanded 1996 Marcel-Dekker, Inc New York
23. R.H. Myers, and D.C. Montgomery Response surface methodology, process and product optimization using designed esprements 1995 John Wiley & Sons, Inc. New York
24. V.V. Toropov, A.A. Filatov, and A.A. Polynkine Multiparameter structural optimization using FEM and multipoint explicit approximations Struct Optimiz 6 1993 7 14
25. V.V. Toropov, F. van Keulen, V.L. Markine, and L.F. Alvarez Multipoint approximations based on response surface fitting: a summary of recent results V.V. Toropov Engineering Design Optimization, Proceedings of 1st, ASMO UK/ISSMO Conference, 8-9 July, Bradford, UK 1999 University Press 371 380
26. van Keulen F, Toropov VV. Multipoint approximations for structural optimization problems with noisy response functions. In: ISSMO/NASA/AIAA First Internet Conference on Approximations and Fast Reanalysis in Engineering Optimization, 14-27 June, 1998. CD-ROM
27. F. van Keulen, and V.V. Toropov New developments in structural optimization using adaptive mesh refinement and multipoint approximations Eng Optim 29 1997 217 234
28. J.H. Jacobs, L.F.P. Etman, F. van Keulen, and J.E. Rooda Framework for sequential approximate optimization Struct. Multidisc. Optim. 27 5 2004 384 400
29. Gurav SP, Kasyap A, Sheplak M, Cattafesta L, Haftka RT, Goosen JFL, et al. Uncertainty-based design optimization of a micro piezoelectric composite energy reclamation device. In Proceedings of the 10th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference, August 31-September 1, 2004
30. F. van Keulen, and V.V. Toropov The multipoint approximation method in a parallel computing environment ZAMM 79 S1 1999 S67 S70
31. R.T. Haftka, and Z Gürdal Elements of structural optimization 2nd revised ed 1990 Kluwer Academic Publishers Dordrecht