A novel methodology of reliability-based multidisciplinary design optimization under hybrid interval and fuzzy uncertainties

Besnard, 2007, Constructive neural networks and their application to ship multidisciplinary design optimization, J. Ship Res., 51, 297, 10.5957/jsr.2007.51.4.297

Yao, 2011, Review of uncertainty-based multidisciplinary design optimization methods for aerospace vehicles, Prog. Aerosp. Sci., 47, 450, 10.1016/j.paerosci.2011.05.001

Zhang, 2016, Multidisciplinary design and optimization of the twin-web turbine disk, Struct. Multidiscip. Optim., 53, 1129, 10.1007/s00158-015-1373-2

Oberkampf, 2004, Challenge problems: uncertainty in system response given uncertain parameters, Reliab. Eng. Syst. Saf., 85, 11, 10.1016/j.ress.2004.03.002

Wang, 2017, A novel method of Newton iteration-based interval analysis for multidisciplinary systems, Sci. China Phys. Mech. Astron., 60, 094611, 10.1007/s11433-017-9068-5

Meng, 2015, Reliability-based multidisciplinary design optimization using subset simulation analysis and its application in the hydraulic transmission mechanism design, J. Mech. Des., 137, 051402, 10.1115/1.4029756

Roshanian, 2013, Latin hypercube sampling applied to reliability-based multidisciplinary design optimization of a launch vehicle, Aerosp. Sci. Technol., 28, 297, 10.1016/j.ast.2012.11.010

Yu, 2006, Reliability-based multidisciplinary optimization for aircraft wing design, Struct. Infrastruct. Eng., 2, 277, 10.1080/15732470600590333

Ahn, 2004, Sequential approach to reliability analysis of multidisciplinary analysis systems, Struct. Multidiscip. Optim., 28, 397, 10.1007/s00158-004-0459-z

Li, 2014, An efficient strategy for multidisciplinary reliability design and optimization based on CSSO and PMA in SORA framework, Struct. Multidiscip. Optim., 49, 239, 10.1007/s00158-013-0966-x

Lin, 2013, Reliability-based multidisciplinary design optimization using probabilistic gradient-based transformation method, J. Mech. Des., 135, 021001, 10.1115/1.4023025

Sues, 2000, An innovative framework for reliability-based MDO

Du, 2007, Sequential optimization and reliability assessment for multidisciplinary systems design, Struct. Multidiscip. Optim., 35, 117, 10.1007/s00158-007-0121-7

Huang, 2010, Collaborative optimization with inverse reliability for multidisciplinary systems uncertainty analysis, Eng. Optim., 42, 763, 10.1080/03052150903443798

Yao, 2013, A reliability-based multidisciplinary design optimization procedure based on combined probability and evidence theory, Struct. Multidiscip. Optim., 48, 339, 10.1007/s00158-013-0901-1

Ben-Haim, 1994, A non-probabilistic concept of reliability, Struct. Saf., 14, 227, 10.1016/0167-4730(94)90013-2

Ben-Haim, 1995, Discussion on: A non-probabilistic concept of reliability, Struct. Saf., 17, 195, 10.1016/0167-4730(95)00010-2

Liu, 2017, Structural reliability analysis based on probability and probability box hybrid model, Struct. Saf., 68, 73, 10.1016/j.strusafe.2017.06.002

Liu, 2017, An efficient reliability analysis approach for structure based on probability and probability box models, Struct. Multidiscip. Optim., 56, 167, 10.1007/s00158-017-1659-7

Moens, 2005, A survey of non-probabilistic uncertainty treatment in finite element analysis, Comput. Methods Appl. Mech. Engrg., 194, 1527, 10.1016/j.cma.2004.03.019

Qiu, 2009, Non-probabilistic interval analysis method for dynamic response analysis of nonlinear systems with uncertainty, J. Sound Vib., 319, 531, 10.1016/j.jsv.2008.06.006

Guo, 2001, A non-probabilistic model of structural reliability based on interval analysis, Chin. J. Comput. Mech., 18, 56

Kang, 2011, On non-probabilistic reliability-based design optimization of structures with uncertain-but-bounded parameters, Struct. Saf., 33, 196, 10.1016/j.strusafe.2011.03.002

Luo, 2009, Structural reliability assessment based on probability and convex set mixed model, Comput. Struct., 87, 1408, 10.1016/j.compstruc.2009.06.001

Jiang, 2015, Multidimensional parallelepiped model—a new type of non-probabilistic convex model for structural uncertainty analysis, Internat. J. Numer. Methods Engrg., 103, 31, 10.1002/nme.4877

Jiang, 2014, A non-probabilistic structural reliability analysis method based on a multidimensional parallelepiped convex model, Acta Mech., 225, 383, 10.1007/s00707-013-0975-2

Wang, 2008, Non-probabilistic set-theoretic model for structural safety measure, Acta Mech., 198, 51, 10.1007/s00707-007-0518-9

Xia, 2015, Optimization based on reliability and confidence interval design for the structural-acoustic system with interval probabilistic variables, J. Sound Vib., 336, 1, 10.1016/j.jsv.2014.10.012

Xia, 2017, Optimization of uncertain acoustic metamaterial with Helmholtz resonators based on interval model, Sci. China A, 60, 385, 10.1007/s11431-016-0562-1

Zadeh, 1965, Fuzzy sets, information and control, Inf. Control, 8, 338, 10.1016/S0019-9958(65)90241-X

Cai, 1991, Fuzzy reliability modeling of gracefully degradable computing systems, Reliab. Eng. Syst. Saf., 33, 141, 10.1016/0951-8320(91)90030-B

Cai, 1991, Posbist reliability behavior of typical systems with two types of failure, Fuzzy Sets Syst., 43, 17, 10.1016/0165-0114(91)90018-L

Mon, 1994, Fuzzy system reliability analysis for components with different membership functions, Fuzzy Sets Syst., 64, 145, 10.1016/0165-0114(94)90330-1

Cremona, 1997, The possibilistic reliability theory: theoretical aspects and applications, Struct. Saf., 19, 173, 10.1016/S0167-4730(97)00093-3

Guo, 2002, A fuzzy reliability approach for structures in the possibility context, Chinese J. Comput. Mech., 19, 89

Huang, 2001, Mechanical structure based on defining fuzzy safety state by generalized fuzzy strength, Chin. J. Mech. Eng., 37, 106, 10.3901/JME.2001.06.106

Huang, 2001, Fuzzy reliability analysis in the case of random stress and fuzzy strength, J. Mech. Strength, 23, 305

Ni, 2010, Hybrid probabilistic fuzzy and non-probabilistic model of structural reliability, Comput. Ind. Eng., 58, 463, 10.1016/j.cie.2009.11.005

Wang, 2015, Hybrid uncertain analysis for temperature field prediction with random, fuzzy and interval parameters, Int. J. Thermal Sci., 98, 124, 10.1016/j.ijthermalsci.2015.07.005

Xia, 2015, Reliability-based design optimization of structural systems under hybrid probabilistic and interval model, Comput. Struct., 160, 126, 10.1016/j.compstruc.2015.08.009

Zhang, 2009, Sequential optimization and reliability assessment for multidisciplinary design optimization under aleatory and epistemic uncertainties, Struct. Multidiscip. Optim., 40, 165, 10.1007/s00158-008-0348-y

Li, 2013, Sequential optimisation and reliability assessment for multidisciplinary design optimisation under hybrid uncertainty of randomness and fuzziness, J. Eng. Des., 24, 363, 10.1080/09544828.2012.753995

Yin, 2016, Fuzzy interval finite element/statistical energy analysis for mid-frequency analysis of built-up systems with mixed fuzzy and interval parameters, J. Sound Vib., 380, 192, 10.1016/j.jsv.2016.06.008

Qiao, 2010, Reliability-based optimization of structures with fuzzy and interval variables, Chinese J. Comput. Mech., 27

Xia, 2016, Dynamic response analysis of structure under time-variant interval process model, J. Sound Vib., 381, 121, 10.1016/j.jsv.2016.06.030

Xu, 2017, Hybrid uncertainty propagation in structural-acoustic systems based on the polynomial chaos expansion and dimension-wise analysis, Comput. Methods Appl. Mech. Engrg., 320, 198, 10.1016/j.cma.2017.03.026

Wang, 2018, A dimension-wise method and its improvement for multidisciplinary interval uncertainty analysis, Appl. Math. Model., 10.1016/j.apm.2018.02.022