Acknowledgement
Supported by : National Natural Science Foundation of China
References
- Allaix, D.L., Carbone, V.I. (2011), "An improvement of the response surface method", Struct. Saf., 33(2):165-172. https://doi.org/10.1016/j.strusafe.2011.02.001
- Ayyub, B.M. and Lai, K.L. (1992), "Structural reliability assessment with ambiguity and vagueness in failure", Naval Eng. J., 104(3): 21-35.
- Ben-Haim, Y. (1994), "A non-probabilistic concept of reliability", Structural Safety, 14(4): 227-245. https://doi.org/10.1016/0167-4730(94)90013-2
- Ditlevsen, O., Madsen, H.O.(1996). Structural Reliability Methods, Wiley, Chichester.
- Du, X.P., Sudjianto, A., Huang, B.Q. (2005), "Reliability-based design with the mixture of random and interval variable", Transact. ASME, 127(12), 1068-1077 https://doi.org/10.1115/1.1992510
- Du, X.P., Sudjianto, A., Huang, B.Q. (2005), "Reliability-based design with the mixture of random and interval variable", Transact. ASME, 127(12), 1068-1077. https://doi.org/10.1115/1.1992510
- Ellishkoff, I. (1995), "Essay on uncertainties in elastic and viscoelastic structures: from A M Freudenthal's criticisms to modern convex modeling", Comput. Struct., 56(6), 871-895. https://doi.org/10.1016/0045-7949(94)00499-S
- Elishakoff, I. (1995), "Discussion on a non-probabilistic concept of reliability", Struct. Saf., 17(3), 195-199. https://doi.org/10.1016/0167-4730(95)00010-2
- Fang, Y.F, Chen, J.J., Yan, B.and Ma, H.B. (2012). "Model for prediction of structural dynamic non-probabilistic reliability", Journal of Xidian University, 39(6), 170-175.
- Fang, Y.F., Chen, J.J. and Tee, K.F. (2013),"Analysis of structural dynamic reliability based on the probability density evolution method", Struct. Eng. Mech., 45(2), 201-209. https://doi.org/10.12989/sem.2013.45.2.201
- Guo, S.X., Lu, Z.Z. and Feng, Y.S. (2001), "A non-probabilistic model of structural reliability based on interval analysis", Chinese J. Comput. Mech., 18(1): 56-60.
- Gao, W. (2007), "Interval finite element analysis using interval factor method", Comput.Mech., 39(4), 709-717. https://doi.org/10.1007/s00466-006-0055-8
- Gao, W. (2007), "Natural frequency and mode shape analysis of structures with uncertainty", Mech. Syst. Signal Proc., 21(1): 24-39. https://doi.org/10.1016/j.ymssp.2006.05.007
- Kang, S.C., Koh, H.M, Choo, J.F. (2010), "An efficient response surface method using moving least squares approximation for structural reliability analysis", Probab. Eng. Mech., 35(4), 355-371.
- Jiang, Q. and Chen, C.H. (2003), "A numerical algorithm of fuzzy reliability", Reliab. Eng. Syst. Saf., 80(3), 299-307. https://doi.org/10.1016/S0951-8320(03)00055-3
- Jiang, C., Lu, G.Y., Han, X. and Liu L.X (2008), "A new reliability analysis method for uncertain structures with random and interval variables", Int. J. Machine Mater. Des., 8(1), 169-182.
- Madsen, H.O.(1985) "First order vs. second order reliability analysis of series structures", Struct. Saf., 7(2):207-214.
- Madsen, H.O., Krenk, S. and Lind, N.C. (1986), Methods of Structural Safety, Prentice-Hall, Englewood Cliffs
- Qiu, Z.P. (2005), Convex Method Based on Non-Probabilistic Set-Theory and its Application, National Defence Industry Press, Beijing.
- Schaff, J.R. and Davidson, B.D. (1997), "Life prediction methodology for composite structures", J. Compos. Mater., 31(2), 127-157.
- Shui-Hua Jiang, Dian-Qing Li, Chuang-Bing Zhou and Li-Min Zhang(2014), "Capabilities of stochastic response surface method and response surface method in reliability analysis", Struct. Eng. Mech., 49(1), 48-56.
- Tee, K.F., Khan, L.R. and Chen, H.P. (2013), "Probabilistic failure analysis of underground flexible pipes", Struct. Eng. Mech., 47(2), 167-183. https://doi.org/10.12989/sem.2013.47.2.167
- Tee, K.F., Li, C.Q. and Mahmoodian, M. (2011), "Prediction of time-variant probability of failure for concrete sewer pipes", Proceeding of the 12th International Conference on Durability of Building Materials and Components, Porto, Portugal, April 12-15
- Zhu, Z.Q., Chen, J.J., Liang Z.T. and Lin L.G. (2008), "Finite element and reliability analyses for antenna structures with the mixture of random and interval variables", Chinses High Technol. Lett., 16(6), 624-631.
Cited by
- Time-variant structural fuzzy reliability analysis under stochastic loads applied several times vol.55, pp.3, 2015, https://doi.org/10.12989/sem.2015.55.3.525
- Structural robust optimization design based on convex model vol.7, 2017, https://doi.org/10.1016/j.rinp.2017.08.013
- Statistical model and structural reliability analysis for onshore gas transmission pipelines vol.82, 2017, https://doi.org/10.1016/j.engfailanal.2017.08.008
- Reliability-based design optimization for problems with interval distribution parameters vol.55, pp.2, 2017, https://doi.org/10.1007/s00158-016-1505-3
- An efficient simulation method for reliability analysis of systems with expensive-to-evaluate performance functions vol.55, pp.5, 2015, https://doi.org/10.12989/sem.2015.55.5.979
- Reliability sensitivities with fuzzy random uncertainties using genetic algorithm vol.60, pp.3, 2016, https://doi.org/10.12989/sem.2016.60.3.413
- Improved Nonprobabilistic Global Optimal Solution Method and Its Application in Bridge Reliability Assessment vol.2019, pp.1687-8094, 2019, https://doi.org/10.1155/2019/8290317
- Computational Method and Simulation of Reliability for Series, Parallel, and k-Out-of-n Systems with Interval Parameters vol.2021, pp.None, 2014, https://doi.org/10.1155/2021/5713902
- Reliability-based analysis method of fluid dynamics for turbomachinery with interval distribution parameters vol.53, pp.6, 2014, https://doi.org/10.1080/0305215x.2020.1758688