Structure buckling hybrid reliability analysis of a supercavitating projectile using a model with truncated probability and multi-ellipsoid convex set uncertainties

References

• Ashley, S. (2001). Warp-drive underwater. Scientific American 284(4):70–79. doi:10.1038/scientificamerican0501-70.
   Google Scholar
• An, W. G., Zhou, L., An, H. (2009). Structure buckling and non-probabilistic reliability analysis of supercavitating vehicles. Journal of Harbin Institute of Technology (New Series) 16(4):561–569.
   Google Scholar
• Choi, J. Y., Ruzzene, M. (2006). Stability analysis of supercavitating underwater vehicles with adaptive cavitator. International Journal of Mechanical Sciences 48(12):1360–1370. doi:10.1016/j.ijmecsci.2006.06.016
   Web of Science ®Google Scholar
• Du, X. P., Sudjianto, A., Huang, B. (2005). Reliability-based design with the mixture of random and interval variables. Journal of Mechanical Design 127(6):1068–1076. doi:10.1115/1.1992510
   Web of Science ®Google Scholar
• Edward, A., Ramana, V. G., Ha, R. B. (2006). Cavitator design for a supercavitating torpedo using evidence theory for reliability estimation. Multidisciplinary Design Optimization for High Reliability and Robustness 2006:42–50.
   Google Scholar
• Elishakoff, I. (1995). Essay on uncertainties in elastic and viscoelastic structure: From A. M. Freudenthal's criticisms to modern convex modelling. Computers & Structures 56(6):871–895. doi:10.1016/0045-7949(94)00499-s
   Web of Science ®Google Scholar
• Gong, J. X. (2003). Reliability Calculation Methods of Engineering Structure. Dalian: Dalian University of Technology Press (in Chinese).
   Google Scholar
• Harkins, T. K. (2001). Hydroballistics: Development, theory and some test results. The 19th International Symposium on Ballistics, Interlaken, Switzerland, 7–11. May.
   Google Scholar
• Hasofer, A. M., Lind, N. C. (1974). Exact and invariant second-moment code format. ASME Journal of the Engineering Mechanics 100(1):111–121.
   Google Scholar
• Janos, L. (2005). New type of optimal topologies by iterative method. Mechanics Based Design of Structures and Machines 33(2):149–171. doi:10.1081/sme-200067035
   Web of Science ®Google Scholar
• Jiang, C., Long, X. Y., Han, X., Tao, Y. R., Liu, J. (2013). Probability-interval hybrid reliability analysis for cracked structures existing epistemic uncertainty. Engineering Fracture Mechanics 112–113:148–164. doi:10.1016/j.engfracmech.2013.10.009
   Web of Science ®Google Scholar
• Jiang, C., Lu, G. Y., Han, X., Liu, L. X. (2012). A new reliability analysis method for uncertain structures with random and interval variables. International Journal of Mechanics and Materials in Design 8(2):169–182. doi:10.1007/s10999-012-9184-8
   Web of Science ®Google Scholar
• Jiang, T., Chen, J. J., Xu, Y. L. (2007). A semi-analytic method for calculating non-probabilistic reliability index based on interval models. Applied Mathematical Modeling 31(7):1362–1370. doi:10.1016/j.apm.2006.02.013
   Web of Science ®Google Scholar
• Lu, H., Zhang, Y. M. (2011). Reliability-based robust design for structural system with multiple failure mode. Mechanics Based Design of Structures and Machines 39(4):420–440. doi:10.1080/15397734.2011.560541
   Web of Science ®Google Scholar
• Luo, Y. J., Alex, L., Kang, Z. (2011). Reliability-based design optimization of adhesive bonded steel-concrete composite beams with probabilistic and non-probabilistic uncertainties. Engineering Structures 33(7):2110–2119. doi:10.1016/j.engstruct.2011.02.040
   Web of Science ®Google Scholar
• Luo, Y. J., Kang, Z., Alex, L. (2009). Structural reliability assessment based on probability and convex set mixed model. Computers & Structures 87(21–22):1408–1415. doi:10.1016/j.compstruc.2009.06.001
   Web of Science ®Google Scholar
• Melchersa, R. E., Ahammeda, M., Middletonb, C. (2003). FORM for discontinuous and truncated probability density functions. Structural Safety 25(3):305–313. doi:10.1016/s0167-4730(03)00002-x
   Web of Science ®Google Scholar
• Qiu, Z. P., Wang, J. (2010). The interval estimation of reliability for probabilistic and non-probabilistic hybrid structural system. Engineering Failure Analysis 17(5):1142–1154. doi:10.1016/j.engfailanal.2010.01.010
   Web of Science ®Google Scholar
• Ruzzene, M. (2004). Dynamic buckling of periodically stiffened shells: Application to supercavitating vehicles. International Journal of Solids and Structures 41(3–4):1039–1059. doi:10.1016/j.ijsolstr.2003.10.008
   Web of Science ®Google Scholar
• Vasin, A. D. (2001). Some Problems of Supersonic Cavitation Flows. Proceeding of the 4th International Symposium on Cavitation, Pasadena, CA, pp. 1–14, 20–23 June.
   Google Scholar
• Wang, X. J., Elishakoff, I., Qiu, Z. P., Kou, C. H. (2011). Non-probabilistic methods for natural frequency and buckling load of composite plate based on the experimental data. Mechanics Based Design of Structures and Machines 39(1):83–99. doi:10.1080/15397734.2011.537246
   Web of Science ®Google Scholar
• Xiao, N. C., Li, Y. F., Yang, Y. J., Yu, L., Huang, H. Z. (2014). A novel reliability method for structural systems with truncated random variables. Structural Safety 50:57–65. doi:10.1016/j.strusafe.2014.03.006
   Web of Science ®Google Scholar
• Zhou, L., An, W. G., An, H. (2010). Structure buckling reliability analysis of underwater ventilated supercavitating vehicles. Engineering Mechanics 27(9):248–256 (in Chinese).
   Google Scholar
• Zhou, L., An, W. G., Jia, H. G. (2011). Definition and solution of reliability comprehensivc index of super-ellipsoid convex set. Acta Aeronautica et Astronautica Sinica 32(11):2025–2035 (in Chinese).
   Google Scholar
• Zhou, L., Jia, H. G., An, W. G. (2012). Modified limit step length iteration algorithm in correlation normal space. Engineering Mechanics 29(11):137–142 (in Chinese).
   Google Scholar