Dynamic reliability analysis of a cantilever beam during a deterioration process

References

• Ang, H. S., and H. Tang. 1975. Probability concepts in engineering planning and design. Vol. 1 and 2. New York: Wiley.
   Google Scholar
• Chung, C., and J. Angus. 2009. An approach for product life functionality under component deterioration process. Journal of Mechanical Science and Technology 23 (1):237–45.
   Web of Science ®Google Scholar
• Cramér, H. 2016. Mathematical methods of statistics (PMS-9). NJ: Princeton University Press.
   Google Scholar
• Ditlevsen, O. 1981. Reliability against defect generated fracture. Journal of Structural Mechanics 9 (2):115–37. doi:10.1080/03601218108907379.
   Web of Science ®Google Scholar
• Halder, A., and S. Mahadeven. 2009. Reliability assessment using stochastic finite element analysis. New York: Wiley.
   Google Scholar
• Hsu, B., and M. Shu. 2010. Reliability assessment and replacement for machine tools under wear deterioration. The International Journal of Advanced Manufacturing Technology 48 (1–4):355–65. doi:10.1007/s00170-009-2257-7.
   Web of Science ®Google Scholar
• Lü, C., Y. M. Zhang, X. Wang, and X. Li. 2015. Frequency reliability-based robust design of the suspension device of a jarring machine with arbitrary distribution parameters. Mechanics Based Design of Structures and Machines 43 (4):487–500. doi:10.1080/15397734.2015.1027776.
   Web of Science ®Google Scholar
• Lu, H., and Y. M. Zhang. 2011. Reliability-based robust design for structural system with multiple failure modes. Mechanics Based Design of Structures and Machines 39 (4):420–40. doi:10.1080/15397734.2011.560541.
   Web of Science ®Google Scholar
• Manigandan, K., T. S. Srivatsan, D. Tammana, B. Poorgangi, and V. K. Vasudevan. 2014. Cyclic strain resistance, stress response, fatigue life, and fracture behavior of high strength low alloy steel 300 M. Journal of Materials Engineering and Performance 23 (5):1799–814.
   Web of Science ®Google Scholar
• Mishnaevsky, L., and B. Povl. 2007. Modeling of fatigue damage evolution on the basis of the kinetic concept of strength. International Journal of Fracture 144 (3):149–58.
   Web of Science ®Google Scholar
• Noortwijk, J., and M. Van. 2009. A survey of the application of gamma processes in maintenance. Reliability Engineering & System Safety 94 (1):2–21.
   Web of Science ®Google Scholar
• Parhi, A., and B. N. Singh. 2015. Stochastic response of laminated composite shell panel in hygrothermal environment. Mechanics Based Design of Structures and Machines 43 (3):314–41. doi:10.1080/15397734.2014.991972.
   Web of Science ®Google Scholar
• Paulus, M., and D. Abhijit. 2012. Semi-empirical life model of a cantilevered beam subject to random vibration. International Journal of Fatigue 45 (3):82–90.
   Google Scholar
• Pereira, M., J. M. Balthazar, D. Santos, M. A. Tusset, M. D. F. Castro, and A. Prado. 2017. A note on polynomial chaos expansions for designing a linear feedback control for nonlinear systems. Nonlinear Dynamics 87 (3):1653–66. doi:10.1007/s11071-016-3140-3.
   Web of Science ®Google Scholar
• Pham, T., and S. Kim. 2016. Microstructure evolution and mechanical properties changes in the weld zone of a structural steel during low-cycle fatigue studied using instrumented indentation testing. International Journal of Mechanical Sciences 114:141–56. doi:10.1016/j.ijmecsci.2016.05.021.
   Web of Science ®Google Scholar
• Pilkey, W. 2007. Finite elements for cross-sectional analysis. In Analysis and design of elastic beams, 153–66. New York: Wiley.
   Google Scholar
• Pulcini, G. 2016. A perturbed gamma process with statistically dependent measurement errors. Reliability Engineering & System Safety 152:296–306.
   Google Scholar
• Rezaiee-Pajand, M., M. S. Kazemiyan, and A. Aftabi. S. 2014. Static damage identification of 3D and 2D frames. Mechanics Based Design of Structures and Machines 42 (1):70–96. doi:10.1080/15397734.2013.830534.
   Web of Science ®Google Scholar
• Sahrapeyma, A., A. Hosseini, and M.-S. Marefat. 2013. Life-cycle prediction of steel bridges using reliability-based fatigue deterioration profile: Case study of neka bridge. International Journal of Steel Structures 13 (2):229–42.
   Web of Science ®Google Scholar
• Talemi, R. H., S. Chhith, and W. De Waele. 2017. Experimental and numerical study on effect of forming process on low‐cycle fatigue behaviour of high‐strength steel. Fatigue & Fracture of Engineering Materials & Structures 40 (12):2050–67.
   Web of Science ®Google Scholar
• Tsai, Y. T., and H. Chang. 2008. Reliability-based optimum design for mechanical problems using genetic algorithms. Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 222 (9):1791–9.
   Web of Science ®Google Scholar
• Walbridge, S., and A. Nussbaumer. 2008. A probabilistic assessment of the effect of post-weld treatment on the fatigue performance of tubular truss bridges. Engineering Structures 30 (1):247–57. doi:10.1016/j.engstruct.2007.03.021.
   Web of Science ®Google Scholar
• Wang, W., Y. M. Zhang, and C. Y. Li. 2017. Dynamic reliability analysis of linear guides in positioning precision. Mechanism and Machine Theory 116:451–64. doi:10.1016/j.mechmachtheory.2017.06.011.
   Web of Science ®Google Scholar
• Wang, X., B. Sun, and Z. Li. 2016. Damage-induced material softening and its effect on seismic performance of steel structures. Science China Technological Sciences 59 (10):1559–72. doi:10.1007/s11431-016-6093-3.
   Web of Science ®Google Scholar
• Wang, Z., and W. Chen. 2016. Time-variant reliability assessment through equivalent stochastic process transformation. Reliability Engineering & System Safety 152:166–75. doi:10.1016/j.ress.2016.02.008.
   Web of Science ®Google Scholar
• Xu, L., N. Xin, J. Fan, M. Tao, and R. Ding. 2016. Cyclic hardening and softening behavior of the low yield point steel BLY160: Experimental response and constitutive modeling. International Journal of Plasticity 78 44–63.
   Web of Science ®Google Scholar
• Xu, Y. 2016. Buckling reliability evaluation of a clamped beam with random imperfections subjected to axial impact using probability density evolution method. Mechanics Based Design of Structures and Machines 44 (4):451–61. doi:10.1080/15397734.2015.1104512.
   Web of Science ®Google Scholar
• Zhang, Y., B. Wen, and Q. Liu. 1998. First passage of uncertain single degree-of-freedom nonlinear oscillators. Computer Methods in Applied Mechanics and Engineering 165 (1–4):223–31.
   Web of Science ®Google Scholar
• Zhang, Y., B. Wen, and Q. Liu. 2003. RELIABILITY SENSITIVITY FOR ROTOR–STATOR SYSTEMS WITH RUBBINGReliability sensitivity for rotor–stator systems with rubbing. Journal of Sound & Vibration 259 (5):1095–107.
   Web of Science ®Google Scholar
• Zhao, Y.-G., and O. Tetsuro. 2001. Moment methods for structural reliability. Structural Safety 23 (1):47–75.
   Web of Science ®Google Scholar
• Zhou, Y., Y. Sun, J. Mathew, R. Wolff, and L. Ma. 2011. Latent degradation indicators estimation and prediction: A Monte Carlo approach. Mechanical Systems & Signal Processing 25 (1):222–36.
   Web of Science ®Google Scholar
• Zhou, Y., Y. Zhang, and G. Yao. 2017. Stochastic forced vibration analysis of a tapered beam with performance deterioration. Acta Mechanica 228 (4):1393–406. doi:10.1007/s00707-016-1764-5.
   Web of Science ®Google Scholar