Uncertainty analysis of structural systems by perturbation techniques

Structural and Multidisciplinary Optimization

Volumn 35, Issue 3, 2008, Pages 201-212

  Henriques, A A ^a   Veiga, J M C ^b   Matos, J A C ^a   Delgado, J M ^b  

^a UNIVERSITY OF PORTO   (Portugal)

^b INSTITUTO POLITÉCNICO DE VIANA DO CASTELO   (Portugal)

Author keywords

Perturbation techniques; Reliability; Safety; Structures; Uncertainty analysis

Indexed keywords

CORRELATION METHODS; COVARIANCE MATRIX; FINITE ELEMENT METHOD; PERTURBATION TECHNIQUES; PROBLEM SOLVING; RANDOM VARIABLES;

MEAN VALUES; STANDARD DEVIATION; STRUCTURAL RESPONSE; STRUCTURAL SYSTEMS;

UNCERTAINTY ANALYSIS;

EID: 39149141880     PISSN: 1615147X     EISSN: 16151488     Source Type: Journal    
DOI: 10.1007/s00158-007-0218-z     Document Type: Article

References (54)

1. Altus E, Totry E, Givli S (2005) Optimized functional perturbation method and morphology based effective properties of randomly heterogeneous beams. Int J Solids Struct 42(8):2345-2359
2. Ayyub BM (1998) Uncertainty modeling and analysis in Civil Engineering. CRC, Boca Raton, FL, p 506 ISBN:0849331080
3. Ayyub BM, Gupta MM (1997) Uncertainty analysis in Engineering and Sciences: fuzzy logic, statistics, and neural network approach. Kluwer, Boston, p 370 ISBN:0792380304
4. Beck JL, Au S-K, Vanik MW (2001) Monitoring structural health using a probabilistic measure. Comput Aided Civ Infrastruct Eng 16(1):1-11
5. Biondini F, Bontempi F, Malerba PG (2004) Fuzzy reliability analysis of concrete structures. Comput Struct 82(13-14):1033-1052
6. Casas JR, Matos JC, Figueiras JA, Vehi J, Garcia O, Herrero P (2005) Bridge monitoring and assessment under uncertainty via interval analysis. In: Augusti G, Schueller GI, Ciampoli M (eds) Proceedings of the 9th International Conference on Structural Safety and Reliability-ICOSSAR'05, Rome, June 19-23. Millpress, Rotterdam, pp 487-494
7. CEB - Comité Euro-International du Béton (1993) CEB-FIP Model Code 1990-design code. Thomas Telford, London, p 437 ISBN:0727716964
8. Choi S-K, Grandhi RV, Canfield RA (2004) Structural reliability under non-Gaussian stochastic behaviour. Comput Struct 82(13-14):1113-1121
9. Contreras H (1980) The stochastic finite element. Comput Struct 12(3):341-348
10. DeLaurentis D, Marvris D (2000) Uncertainty modelling and management in multidisciplinary analysis and synthesis. In: Proceedings of the 38th AIAA Aerospace Sciences Meeting, paper No. AIAA 2000-0422, Reno, NV, January 10-13.
11. Delgado LEM (2006) A hybrid approach of knowledge-based reasoning for structural assessment. Ph.D. thesis, University of Girona, Spain, pp 142
12. Du X, Sudjianto A (2004) A saddlepoint approximation method for uncertainty analysis. In: Proceedings of the DETC'04-ASME 2004 International Design Engineering Technical Conferences and the Computers and Information in Engineering Conference, Salt Lake City, Utah, USA, September 28-October 2
13. Eibl J, Schmidt-Hurtienne B (1995) General outline of a new safety format. CEB Bull d'Inform 229:33-48
14. Faber MH, Sorensen JD (2003) Reliability based code calibration-the JCSS approach. In: Der Kiureghian A, Madanat S, Pestana JM (eds) Proceedings of the 9th International Conference on Applications of Statistics and Probability in Civil Engineering-ICASP9, San Francisco, July 6-9. Millpress, Rotterdam, pp 927-935
15. Faber MH, Stewart MG (2003) Risk assessment for civil engineering facilities: critical overview and discussion. Reliab Eng Syst Saf 80(2):173-184
16. Frangopol DM, Lee Y-H, William KJ (1996) Nonlinear finite element reliability analysis of concrete. J Eng Mech 122(12):1174-1182
17. Frangopol DM, Dong JS, Gharaibeh ES (2001) Reliability based life cycle management of highway bridges. J Comput Civil Eng 15(1):27-34
18. Garcia O, Matos JC, Vehi J, Sainz M, Casas JR (2004) Application of interval analysis to solve civil engineering problems - some examples. In: Proceedings of the 2nd European Workshop on Structural Health Monitoring, Munich, Germany, July 7-9, pp 93-100
19. Gardenyes E, Sainz MA, Jorba L, Calm R, Estela R, Mielgo H, Trepat A (2001) Modal intervals. Reliable Computing 7(2):77-111
20. Gayton N, Mohamed A, Sorensen JD, Pendola M, Lemaire M (2004) Calibration methods for reliability-based design codes. Struct Saf 26(1):91-121
21. Ghanem RG, Spanos PD (2003) Stochastic finite elements: a spectral approach. Courier Dover, New York, p 224 ISBN:0486428184
22. Guan XL, Melchers RE (1994) An efficient formulation for limit state functions gradient calculation. Comput Struct 53(4):929-935
23. Haftka RT, Rosca RI, Nikolaidis E (2006) An approach for testing methods for modelling uncertainty. J Mech Design 128(5):1038-1049
24. Haldar A, Mahadevan S (2000) Reliability Assessment Using Stochastic Finite Element Analysis. Wiley, New York, p 344 ISBN:0471369616
25. Hansen E (1992) Global optimization using interval analysis. Marcel Dekker, New York, p 230 ISBN:0824786963
26. Henriques AAR (1998) Application of new safety concepts in the design of structural concrete. Ph.D. thesis, Faculty of Engineering of the University of Porto, pp 502 (in Portuguese).
27. Henriques AA, Figueiras J (2002). Model for the assessment of safety and serviceability of concrete bridges. In: Casas JR, Frangopol DM, Nowak AS (ed) Bridge maintenance, safety and management, Proceedings of the IABMAS First International Conference, Barcelona, July 14-17, CIMNE (CD-ROM)
28. Henriques AAR, Calheiros F, Figueiras JA (2002) Safety format for the design of concrete frames. Eng Comput 19(3):346-363
29. Huang B, Du X (2006) Uncertainty analysis by dimension reduction integration and saddlepoint approximations. J Mech Design 128(1):26-33
30. Hurtado JE (2002) Analysis of one-dimensional stochastic finite elements using neural networks. Probab Eng Mech 17(1):35-44
31. Imai K, Frangopol DM (2000) Geometrically nonlinear finite element reliability analysis of structural systems. I: theory. Comp Struct 77(6):677-691
32. Jaulin L, Kieffer M, Didrit O, Walter E (2001) Applied interval analysis. Springer, London, p 379 ISBN:1852332190
33. Kharmanda G, Mohamed A, Lemaire M (2002) Efficient reliability-based design optimization using a hybrid space with application to finite element analysis. Struct Multidisc Optim 24(3):233-245
34. Liu P, Der Kiureghian A (1991) Finite element reliability of geometrically nonlinear uncertain structures. J Eng Mech 117(8):1806-1825
35. Maglaras G, Nikolaidis E, Haftka RT, Cudney HH (1997) Analytical-experimental comparison of probabilistic methods and fuzzy set based methods for designing under uncertainty. Struct Multidisc Optim 13(2-3):69-80
36. Mahadevan S, Raghothamachar P (2000) Adaptive simulation for system reliability analysis of large structures. Comput Struct 77(6):725-734
37. Matos JC, Casas JR, Figueiras JA (2005) A new methodology for damage assessment of bridges through instrumentation: Application to the Sorraia River Bridge. Struct Infrastruct Eng 1(4):239-252
38. Muhanna RL, Mullen, (2001) Uncertainty in mechanics problems-interval- based approach. J Eng Mech 127(6):557-566
39. Olsson A, Sandberg G, Dahlblom O (2003) On Latin hypercube sampling for structural reliability analysis. Struct Saf 25(1):47-68
40. Papadrakakis M, Lagaros ND (2002) Reliability-based structural optimization using neural networks and Monte Carlo simulation. Comput Methods Appl Mech Eng 191:3491-3507
41. Pradlwarter HJ, Schueller GI, Schenk CA (2003) A computational procedure to estimate the stochastic dynamic response of large non-linear FE-models. Comput Methods Appl Mech Eng 192(7):777-801
42. Rais-Rohani M, Singh MN (2004) Comparison of global and local response surface techniques in reliability-based optimization of composite structures. Struct Multidisc Optim 26(5):333-345
43. Rao SS, Berke L (1997) Analysis of uncertain structural systems using interval analysis. AIAA J 35(4):727-735
44. Rao SS, Sawyer P (1995) Fuzzy finite element approach for analysis of imprecisely defined systems. AIAA J 33(2):2364-2370
45. Reh S, Beley J-D, Mukherjee S, Khor EH (2006) Probabilistic finite element analysis using ANSYS. Struct Saf 28(1-2):17-43
46. Schenk CA, Schueller GI (2005) Uncertainty assessment of large finite element systems. Springer, New York, p 165 ISBN:3540253432
47. Schueller GI (2001) Computational stochastic mechanics-recent advances. Comput Struct 79(22-25):2225-2234
48. Schueremans L, Gemert DV (2003) System reliability methods using advanced sampling techniques. In: Bedford T, Van Gelder P (eds) Safety and reliability, Proceedings of the Esrel 2003 Conference, Maastricht, The Netherlands, June 15-18. Routledge, London, pp 1425-1432
49. Spanos PD, Ghanem R (1989) Stochastic finite element expansion for random media. J Eng Mech 115(5):1035-1053
50. Thomos GC, Trezos CG (2006) Examination of the probabilistic response of reinforced concrete structures under static non-linear analysis. Eng Struct 28(1):120-133
51. Wang CS, Wu F, Chang FK (2001) Structural health monitoring from fiber-reinforced composites to steel-reinforced concrete. Smart Mater Struct 10:548-552
52. Yu X, Choi KK, Chang K-H (1997) A mixed design approach for probabilistic structural durability. Struct Multidisc Optim 14(2-3):81-90
53. Zhang J, Ellingwood B (1996) SFEM for reliability with material nonlinearities. J Struct Eng 122(6):701-704
54. Zou T, Mahadevan S (2006) Versatile formulation for multiobjective reliability-based design optimization. J Mech Design 128(6):1217-1226