Reliability-based shape optimization of structures undergoing fluid-structure interaction phenomena

Computer Methods in Applied Mechanics and Engineering

Volumn 194, Issue 30-33 SPEC. ISS., 2005, Pages 3472-3495

  Allen, M ^a   Maute, Maute ^a  

^a UCB 450   (United States)

Author keywords

Aeroelasticity; Design optimization; Reliability analysis; Sensitivity analysis

Indexed keywords

AERODYNAMICS; APPROXIMATION THEORY; COMPUTATIONAL METHODS; CONSTRAINT THEORY; DRAG; FLUID STRUCTURE INTERACTION; LIFT; OPTIMIZATION; PARAMETER ESTIMATION; RANDOM PROCESSES; SENSITIVITY ANALYSIS; WINGS;

AEROELASTIC MODELS; DESIGN PARAMETERS; EULER FLOW; MATERIAL PROPERTIES;

STRUCTURAL ANALYSIS;

AEROELASTICITY; COMPUTATIONAL MODEL; FLUID-STRUCTURE INTERACTION; OPTIMIZATION;

EID: 20044388790     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cma.2004.12.028     Document Type: Article

References (87)

1. D. Frangopol K. Maute Life-cycle reliability-based optimization of civil and aerospace structures Comput. Struct. 81 2003 397-410
2. D. Frangopol, K. Maute, Engineering Design Reliability Handbook, CRC Press, 2005 (Chapter Reliability-based Optimization of Civil and Aerospace Structural Systems), p. 24.1-24.32
3. M. Allen, K. Maute, Reliability based optimization of aeroelastic structures, in: AIAA 2002-5560, 9th AIAA/ISSMO Symposium on Multidisciplinary Analysis and Optimization, September 4-6, 2002, Atlanta, USA, 2002.
4. C. Pettit, R. Canfield, R. Ghanem, Stochastic analysis of an aeroelastic system, in: 15th ASCE Engineering Mechanics Conference, June 2-5, 2002, Columbia University, New York, 2002.
5. R. Rubinstein Simulation and the Monte Carlo Method 1981 John Wiley & Sons New York
6. M. Kalos P. Whitlock Monte Carlo MethodsBasics vol. I 1986 John Wiley & Sons New York, NY
7. H. Kahn Use of different Monte Carlo sampling techniques in: H.A. Meyer (Ed.) Proc. Symp. on Monte Carlo Methods 1956 John Wiley and Sons New York
8. M. Shinozuka Basic analysis of structural safety J. Struct. Engrg. 109 1983 721-740
9. Y.-T. Wu H. Millwater T. Cruse Advanced probabilistic structural analysis method for implicit performance functions AIAA J. 12 1990 255-276
10. Y.-T. Wu Reliability Technology - 1992 vol. 28 1992 The American Society of Mechanical Engineers New York
11. R. Melchers Radial importance sampling for structural reliability J. Engrg. Mech. 116 1 1990 189-203
12. S.-H. Kim, K.-W. Ra, Adaptive importance sampling method for the stochastic finite element analysis, in: 8th Joint Specialty Conference on Probabilistic Mechanics and Structural Reliability, South Bend, IN, ASCE, 2000.
13. N. Lindsley, P. Beran, C. Pettit, Effects of uncertainties on nonlinear plate response in supersonic flow, in: AIAA 2002-5600, 9th AIAA/ISSMO Symposium on Multidisciplinary Analysis and Optimization, September 4-6, 2002, Atlanta, USA, 2002
14. R. Ghanem P. Spanos Stochastic Finite Element: A Spectral Approach 1991 Springer
15. P. Bjerager On computational methods for structural reliability analysis Struct. Safety 9 2 1990 79-96
16. G. Schuëller A state-of-the-art report on computational stochastic mechanics Probab. Engrg. Mech. 12 1997 197-321
17. G. Schuëller Computational stochastic mechanics - recent advances Comput. Struct. 79 2001 2225-2234
18. M. Capinski N. Cutland Stochastic Navier Stokes equations Acta Appl. Math. 25 1991 59-85
19. M. Capinski, N. Cutland, Stochastic Euler equations, Ann. Appl. Probab. 9.
20. d Electron. J. Probab. 5 2000 1-20
21. O.L. Maitre O. Knio H. Najm R. Ghanem A stochastic projection method for fluid flow J. Comput. Phys. 173 2001 481-511
22. J. Kim On the stochastic Euler equations in a two-dimensional domain SIAM J. Math. Anal. 33 2002 1211-1227
23. D. Xiu D. Lucor C.-H. Su G. Karniadakis Stochastic modeling of flow-structure interactions using generalized polynomial chaos J. Fluids Engrg. 124 2002 51-59
24. C. Cornell A probability-based structural code J. Amer. Concr. Inst. 66 12 1969 974-985
25. H. Madsen S. Krenk N. Lind Methods of Structural Safety 1986 Prentice-Hall
26. A. Hasofer N. Lind Exact and invariant second-moment code format J. Engrg. Mech. 100 1974 111-121
27. K. Imai D. Frangopol Geometrically nonlinear finite element reliability analysis of structural systems I: Theory Comput. Struct. 77 6 2000 677-691
28. K. Imai D. Frangopol Response prediction of geometrically nonlinear structures J. Struct. Engrg. 126 11 2000 1348-1355
29. M. Allen M. Raulli K. Maute D. Frangopol Reliability-based analysis and design optimization of electrostatically actuated MEMS Comput. Struct. 82 13-14 2004 1007-1020
30. G. Taguchi, Y. Wu, Introduction to off-line quality control, Quality Control Associate.
31. G. Taguchi Introduction to Quality Engineering 1986 Krauss International Publications
32. J. Su J. Renaud Automatic differentiation in robust optimization AIAA J. 35 6 1997 1072
33. A. Messac A. Ismail-Yahaya Multiobjective robust design using physical programming Struct. Multidisc. Optim. 23 2002 357-371
34. I. Das J. Dennis A closer look at drawbacks of minimizing weighted sums of objectives for Pareto set generation in multicriteria optimization problems Struct. Optimiz. 14 1997 63-69
35. D. Padmanabhan, S. Batill, An iterative concurrent subspace robust design framework, in: AIAA 2000-4841, 8th AIAA/USAF/NASA/ISSMO Symposium on Multidisciplinary Analysis and Optimization, September 6-8, Long Beach, CA, 2000.
36. S. Sunderasan K. Ishii D. Houser A robust optimization procedure with variation on design variables and constraints Adv. Des. Automat. 65 1 1993 379-386
37. A. Parkinson C. Sorensen N. Pourhassan A general approach for robust optimality Trans. ASME 115 1993 74-80
38. W. Chen J. Allen F. Mistree K. Tsui A procedure for robust design: minimizing variations caused by noise factors and control factors ASME J. Mech. Des. 118 1996 478-485
39. P. Zink, D. Raveh, D. Mavris, Robust structural design for active aeroelastic wing with aerodynamic uncertainties, in: AIAA 2000-1439, 41st AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference and Exhibit, April 3-6, 2000, Atlanta, GA, 2000.
40. P. Zink, D. Mavris, M. Love, M. Karpel, Robust design for aeroelastically tailored/active aeroelastic wing, in: AIAA 98-4781, 7th AIAA/USAF/NASA/ISSMO Symposium on Multidisciplinary Analysis and Optimization, September 2-4, 1998, St. Louis, 1998.
41. C. Gumbert, P. Newman, G.-W. Hou, Effect of random geometric uncertainty on the computational design of a 3-d flexible wing, in: AIAA 2002-2806, AIAA 20th Applied Aerodynamics Conference, St. Louis, MO, 2002
42. C. Gumbert, G.-W. Hou, P. Newman, Reliability assessment of a robust design under uncertainty for a 3-d flexible wing, in: AIAA 2003-4094, 16th AIAA Computational Fluid Dynamics Conference June 23-26, 2003, Orlando, FL, 2003
43. W. Li L. Huyse S. Padula Robust airfoil optimization to achieve drag reduction over a range of Mach numbers Struct. Multidisc. Optimiz. 24 1 2002 38-50
44. I. Enevoldsen J. Sørensen Reliability-based optimization in structural engineering Struct. Safety 15 1994 169-196
45. I. Enevoldsen J. Sorensen Reliability-based optimization as an information tool Mech. Struct. Mach. 22 1 1994 117-135
46. S. Chandu R. Grandi General purpose procedure for reliability based structural optimization under parametric uncertainties Adv. Engrg. Software 23 1995 7-14
47. X. Yu K. Choi K. Chang A mixed design approach for probabilistic structural durability Struct. Optimiz. 14 2-3 1997 81-90
48. X. Yu, K. Choi, K. Chang, Reliability and durability based design sensitivity analysis and optimization, Tech. Rep. R97-01, Center for Computer Aided Design, Department of Mechanical Engineering, University of Iowa, 1997.
49. X. Yu K. Chang K. Choi Probabilistic structural durability prediction AIAA J. 36 4 1998 628-637
50. R. Grandhi L. Wang Reliability-based structural optimization using improved two-point adaptive nonlinear approximations Finite Elements Anal. Des. 29 1998 35-48
51. X. Luo R.V. Grandhi ASTROS for reliability-based multidisciplinary structural analysis and optimization Comput. Struct. 62 1997 737-745
52. D. Mavris, D. DeLaurentis, O. Bandte, M. Hale, A stochastic approach to multi-disciplinary aircraft analysis and design, in: AIAA 98-0912, 36th Aerospace Science Meeting and Exhibit, January 12-15, 1998, Reno, NV, 1998
53. D. Mavris, D. DeLaurentis, A stochastic design approach for aircraft affordability, in: 21st Congress of the International Council on the Aeronautical Sciences, ICAS, 1998.
54. J. Yang E. Nikolaidis Design of aircraft wings subjected to gust loads: a safety index based approach AIAA J. 29 5 1991 804-812
55. C. Pettit, R. Grandhi, Preliminary weight optimization of a wing structure for gust response and aileron effectiveness reliability, in: International Conference on Computational Engineering Sciences, August, 2000, Los Angeles, CA, 2000.
56. C. Pettit, R. Grandhi, Reliability optimization of aerospace structures for gust response and aileron effectiveness, in: 8th International Conference on Structural Safety and Reliability, June 2001, Newport Beach, CA, 2001.
57. M. Allen, K. Maute, Shape optimization of aeroelastic structures under uncertainties, in: AIAA 2003-3430. 16th AIAA Computational Fluid Dynamics Conference June 23-26, 2003, Orlando, FL, 2003
58. K. Maute D. Frangopol Reliability-based design of MEMS mechanisms by topology optimization Comput. Struct. 81 2003 813-824
59. J. Tu K. Choi Y. Park A new study on reliability based design optimization ASME J. Mech. Des. 121 4 1999 557-564
60. T. Lee B. Kwak A reliability-based optimal design using advanced first order second moment method Mech. Struct. Mach. 15 4 1987 523-542
61. J.-O. Lee Y.-S. Yang W.-S. Ruy A comparative study on reliability-index and target performance-based probabilistic structural design Comput. Struct. 80 2002 257-269
62. M. Hohenbichler R. Rackwitz Sensitivities and importance measures in structural reliability Civil Engrg. Syst. 3 1986 203-209
63. A. Karamchandani C. Cornell Sensitivity estimation within first and second order reliability methods Struct. Safety 11 2 1992 95-107
64. J. Tu, K. Choi, Design potential concept for reliability-based design optimization, Tech. Rep. R99-07, Center for Computer Aided Design, Department of Mechanical Engineering, University of Iowa, 1999.
65. C. Farhat M. Lesoinne N. Maman Mixed explicit/implicit time integration of coupled aeroelastic problems: Three-field formulation, geometric conservation and distributed solution Int. J. Numer. Meth. Fluids 21 1995 807-835
66. P. Roe Approximate Riemann solvers, parameter vectors and difference schemes J. Comput. Phys. 43 1981 357-372
67. C. Farhat C. Degand B. Koobus M. Lesoinne Torsional springs for two-dimensional dynamic unstructured fluid meshes Comput. Methods Appl. Mech. Engrg. 163 1998 231-245
68. C. Farhat M. Lesoinne P. LeTallec Load and motion transfer algorithms for fluid/structure interaction problems with non-matching discrete interfaces: Momentum and energy conservation, optimal discretization and application to aeroelasticity Comput. Methods Appl. Mech. Engrg. 157 1998 95-114
69. K. Maute M. Nikbay C. Farhat Coupled analytical sensitivity analysis and optimization of three-dimensional nonlinear aeroelastic systems AIAA J. 39 11 2001 2051-2061
70. K. Maute M. Nikbay C. Farhat Sensitivity analysis and design optimization of three-dimensional nonlinear aeroelastic systems by the adjoint method Int. J. Numer. Meth. Engrg. 56 6 2003 911-933
71. X.-C. Cai, C. Farhat, M. Sarkis, A minimum overlap restricted additive Schwarz preconditioner and applications in 3D flow simulations, in: X.-C.C.J. Mandel, C. Farhat (Eds.), The Tenth International Conference on Domain Decomposition Methods for Partial Differential Equations, 1998.
72. R. Meric Coupled optimization in steady-state thermoelasticity J. Thermal Stress. 8 1985 333-347
73. R. Meric Material and load optimization of thermoelastic solids. Part I: Sensitivity analysis. Part II: Numerical results J. Thermal Stress. 9 1986 359-372, 373-388
74. D. Tortorelli G. Subramani S. Lu R. Haber Sensitivity analysis for coupled thermoelastic systems Int. J. Solids Struct. 27 1991 1477-1497
75. R. Meric Optimal cross-sectional shape for MHD channel flows Int. J. Numer. Meth. Engrg. 30 1990 919-929
76. O. Ghattas X. Li Domain decomposition methods for sensitivity analysis of a nonlinear aeroelastic problem Int. J. Comput. Fluid Dynam. 11 1998 113-130
77. H. Møller, E. Lund, Shape sensitivity analysis of strongly coupled fluid-structure interaction problems, in: AIAA 2000-4823, 8th AIAA/USAF/NASA/ISSMO Symposium on Multidisciplinary Analysis and Optimization, September 6-8, 2000, Long Beach, CA, 2000
78. G.-W. Hou, A. Satyanarayana, Analytical sensitivity analysis of a statical aeroelastic wing, in: AIAA 2000-4824, 8th AIAA/USAF/NASA/ISSMO Symposium on Multidisciplinary Analysis and Optimization, September 6-8, 2000, Long Beach, CA, 2000
79. K. Maute, M. Nikbay, C. Farhat, Analytically based sensitivity analysis and optimization of nonlinear aeroelastic systems, in: AIAA 2000-4825, 8th AIAA/USAF/NASA/ISSMO Symposium on Multidisciplinary Analysis and Optimization, September 6-8, 2000, Long Beach, CA, 2000
80. J. Martins, J. Alonso, High-fidelity aero-structural design optimization of a supersonic business jet, in: AIAA 2002-1483, 43rd AIAA/ASME/ASCE/ AHS/ASC Structures, Structural Dynamics, and Materials Conference, April 22-25, 2002, Denver, CO, 2002
81. K. Schittkowski NLPQL: A FORTRAN subroutine for solving constrained nonlinear programming problems Ann. Operat. Res. 5 1985 485-500
82. C. Militello C. Felippa The first ANDES elements: 9-dof plate bending triangles Comput. Methods Appl. Mech. Engrg. 91 1991 217-246
83. G. Kreisselmeier R. Steinhauser Application of vector performance optimization to a robust control loop design for a fighter aircraft Int. J. Control 37 1983 251-284
84. M. Allen K. Maute Reliability-based design optimization of aeroelastic structures Struct. Multidisc. Optimiz. 27 4 2004 228-242
85. M. Sandford, D. Seidel, C. Eckstrom, C. Spain, Geometrical and structural properties of an aeroelastic research wing (ARW-2), NASA-TM-4110, 1989.
86. M.H. Imam Three-dimensional shape optimization Int. J. Numer. Meth. Engrg. 18 1982 661-673
87. G. Farin Curves and Surfaces for Computer Aided Geometric Design 1988 Academic Press London