Abstract
We review recent research activities on structural reliability analysis, reliability-based design optimization (RBDO) and applications in complex engineering structural design. Several novel uncertainty propagation methods and reliability models, which are the basis of the reliability assessment, are given. In addition, recent developments on reliability evaluation and sensitivity analysis are highlighted as well as implementation strategies for RBDO.
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References
Guo X, Cheng G D. Recent development in structural design and optimization. Acta Mech Sin, 2010, 26: 807–823
Yang C, Xiao Z P, Wan Z Q, et al. Aeroelastic optimization design for wing with maneuver load uncertainties. Sci China-Tech Sci, 2010, 53: 3102–3109
Dai Y T, Wu Z G, Yang C. Identification and robust limit-cycle-oscillation analysis of uncertain aeroelastic system. Sci China-Tech Sci, 2011, 54: 1841–1848
Liang Y, Cheng X Q, Li Z N, et al. Multi-objective robust airfoil optimization based on non-uniform rational B-spline (NURBS) representation. Sci China-Tech Sci, 2010, 52: 2708–2717
Tang Z C, Lu Z Z, Li D W, et al. Nonprobabilistic reliability analysis for an inside flap of an aircraft. J Aircraft, 2012, 49: 250–255
Gu Y S, Zhang X P, Yang Z C. Robust flutter analysis based on genetic algorithm. Sci China-Tech Sci, 2012, 55: 2474–2481
Guan X R, Xu C, Wang Y J, et al. Influence of nose-perturbation location on behavior of vortical flow around slender body at high incidence. Sci China-Tech Sci, 2009, 52: 1933–1946
Yang C, Xiao Z P, Wan Z Q, et al. Aeroelastic optimization design for wing with maneuver load uncertainties. Sci China-Tech Sci, 2010, 53: 3102–3109
An H, An W G, Zhao W T. Reliability analysis of ship structure system with multi-defects. Sci China-Phys Mech Astron, 2010, 53: 2113–2124
Liu Y, Duan Z D. Fuzzy finite element model updating of bridges by considering he uncertainty of the measured model parameters. Sci China-Tech Sci, 2012, 55: 3109–3117
Guo T, Frangopol D M, Chen Y W, et al. Fatigue reliability assessment of steel bridge detail integrating weigh-in-motion data and probabilistic finite element analysis. Comput Struct, 2012, 112-113: 245–257
Deng Y, Ding Y L, Li A Q, et al. Fatigue reliability assessment for bridge welded details using long-term monitoring data. Sci China-Tech Sci, 2011, 54: 3371–3381
Bai J L, Ou J P. Seismic failure mode improvement of RC frame structure based on multiple lateral load patterns of pushover analyses. Sci China-Tech Sci, 2011, 54: 2825–2833
Ni Z, Qiu Z P, Su T C. On predicting boat drift for search and rescue. Ocean Eng, 2010, 37: 1169–1179
Xia B Z, Yu D J. Modified sub-interval perturbation finite element method for 2D acoustic field prediction with large uncertain-butbounded parameters. J Sound Vib, 2012, 331: 3774–3790
Schueller G I, Pradlwater H J. Uncertain linear systems in dynamics: Retrospective and recent developments by stochastic approaches. Eng Struct, 2009, 31: 2507–2517
Qiu Z P, Wang J. New direct probabilistic approach for static responses of structures with uncertainties. Int J Comput Math, 2011, 88: 714–730
Qiu Z P, Wu D. A direct probabilistic method to solve state equations under random excitation. Probabilistic Eng Mech, 2010, 25: 1–8
Wang X D, Kang S. Application of polynomial chaos on numerical simulation of stochastic cavity flow. Sci China-Tech Sci, 2010, 53: 2853–2861
Zhang X F, Pandey M D, Zhang Y M. A numerical method for structural uncertainty response computation. Sci China-Tech Sci, 2011, 54: 3347–3357
Wu J L, Zhang Y Q, Chen L P, et al. A Chebyshev interval method for nonlinear dynamic systems under uncertainty. Appl Math Modelling, in press
Qi W C, Qiu Z P. A collocation interval analysis method for interval structural parameters and stochastic excitation. Sci China-Phys Mech Astron, 2012, 55: 66–77
Wang X J, Wang L, Qiu Z P. Response analysis based on smallest interval-set of parameters for structures with uncertainty. Appl Math Mech, 2012, 33: 1153–1166
Qiu Z P, Ni Z. An inequality model for solving interval dynamic response of structures with uncertain-but-bounded parameters. Appl Math Modelling, 2010, 34: 2166–2177
Wang J, Qiu Z P. The reliability analysis of probabilistic and interval hybrid structural system. Appl Math Modelling, 2010, 34: 3648–3658
Qiu Z P, Wang J. The interval estimation of reliability for probabilistic and non-probabilistic hybrid structural system. Eng Failure Anal, 2010, 17: 1142–1154
Jiang C, Li W X, Han X, et al. Structural reliability analysis based on random distributions with interval parameters. Comput Struct, 2011, 89: 2292–2302
Jiang C, Han X, Li W X, et al. A hybrid reliability approach based on probability and interval for uncertain structures. J Mech Design, 2012, 134: 1–11
Jiang C, Lu G Y, Han X, et al. A new reliability analysis method for uncertain structures with random and interval variables. Int J Mech Mater Des, 2012, 8: 169–182
Moller B, Beer M. Engineering computation under uncertainty-Capabilities of non-traditional models. Comput Struct, 2008, 86: 1024–1041
Wang Z L, Huang H Z, Li Y, et al. An approach to system reliability analysis with fuzzy random variables. Mech Machine Theor, 2012, 52: 35–46
Ni Z, Qiu Z P. Hybrid probabilistic fuzzy and non-probabilistic model of structural reliability. Comput Ind Eng, 2010, 58: 463–467
Lu Z Z, Song S F. Reliability and Reliability Sensitivity Analysis of Structures and Mechanisms (in Chinese). Beijing: Science Press, 2009
Gong J X, Yi P. A robust iterative algorithm for structural reliability analysis. Struct Multidisc Optim, 2011, 43: 519–527
Yuan X K, Lu Z Z, Qiao H W. Conditional probability Markov chain simulation based reliability analysis method for nonnormal variables. Sci China-Tech Sci, 2010, 53: 1434–1441
Song S F, Lu Z Z. Saddlepoint approximation based structural reliability analysis with non-normal random variables. Sci China-Tech Sci, 2010, 53: 566–576
Yi L L, Lu Z Z, Song S F. Saddlepoint approximation based line sampling method for uncertainty propagation in fuzzy and random reliability analysis. Sci China-Tech Sci, 2010, 53: 2252–2260
Dai H Z, Zhang H, Wang W. A support vector density-based importance sampling for reliability assessment. Reliability Eng Syst Safety, 2012, 106: 86–93
Jiang C, Bi R G, Lu G Y, et al. Structural reliability analysis using non-probabilistic convex model. Comput Methods Appl Mech Eng, 2012, 254: 83–98
Zhang H, Dai H Z, et al. Structural reliability analysis on the basis of small samples: An interval quasi-Monte Carlo method. Mech Syst Signal Processing, 2012, 37: 137–151
Zhang Y M, Zhu L S, Wang X G. Advanced method to estimate reliability-based sensitivity of mechanical components with strongly nonlinear performance function. Appl Math Mech-Engl Ed, 2010, 31: 1325–1336
Zhao W, Liu J K, Ye J J. A new method for parameter sensitivity estimation in structural reliability analysis. Appl Math Comput, 2011, 217: 5298–5306
Wu J, Deng C, Shao X Y, et al. A reliability assessment method based on support vector machines for CNC equipment. Sci China-Tech Sci, 2009, 52: 1849–1857
Hao W R, Lu Z Z, Tian L F. Importance measure of correlated normal variables and its sensitivity analysis. Reliability Eng Syst Safety, 2012, 99: 151–160
Song S F, Lu Z Z, Zhang W, et al. Uncertainty importance measure by fast Fourier transform for wing transonic flutter. J Aircraft, 2011, 48: 449–455
Cui L J, Lu Z Z, Zhao X P. Moment-independent importance measure of basic random variable and its probability density evolution solution. Sci China-Tech Sci, 2010, 53: 1138–1145
Wei P F, Lu Z Z, Hao W R. Importance measure analysis in the presence of epistemic and aleatory uncertainties. J Aircraft, 2011, 48: 1733–1740
Li L Y, Lu Z Z, Li W. Importance measure system of fuzzy and random input variables and its solution by point estimates. Sci China-Tech Sci, 2011, 54: 2167–2179
Li L Y, Lu Z Z, Li W. State dependent parameter method for importance analysis in the presence of epistemic and aleatory uncertainties. Sci China-Tech Sci, 2012, 55: 1608–1617
Valdebenito M A, Schueller G I. A survey on approaches for reliability-based optimization. Struct Multidisc Optim, 2010, 42: 645–663
Kang Z, Luo Y J, Li A. On non-probabilistic reliability-based design optimization of structures with uncertain-but-bounded parameters. Struct Safety, 2011, 33: 196–205
Kang Z, Luo Y J. Reliability-based structural optimization with probability and convex set hybrid models. Struct Multidisc Optim, 2010, 42: 89–102
Luo Y J, Li A, Kang Z. Reliability-based design optimization of adhesive bonded steel-concrete composite beams with probabilistic and non-probabilistic uncertainties. Eng Struct, 2011, 33: 2110–2119
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Qiu, Z., Huang, R., Wang, X. et al. Structural reliability analysis and reliability-based design optimization: Recent advances. Sci. China Phys. Mech. Astron. 56, 1611–1618 (2013). https://doi.org/10.1007/s11433-013-5179-1
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DOI: https://doi.org/10.1007/s11433-013-5179-1