Time-Dependent Reliability Analysis of Mechanical Structures using an Analytical Approach
Subject Areas : Mechanical Engineering
1 - Passive Defence Faculty,
University of Imam Hossein, Iran
Keywords:
Abstract :
[1] Ditlevsen, O., Madsen, H. O., “Structural Reliability Methods, Chichesterˮ, J. Wiley and Sons, 2005, Chapter 5.
[2] Melchers, R. E., “Structural Reliability, Analysis and Prediction. Chichesterˮ, J. Wiley and Sons, 1999, Chapter 6.
[3] Hagen, O., Tvedt, L., “Vector Process Outcrossing as Parallel System Sensitivity Measureˮ, Journal of Engineering Mechanics, Vol. 117, No. 10, 1991, pp. 2201-2220.
[4] Li., C. C., Der Kiureghian, A., “Mean Outcrossing Rate of Nonlinear Response to Stochastic Inputˮ, Proc. of the seventh international conference on application of statistics and probability (ICASP) in civil engineering and risk analysis, edited by M. Lemaire, J-L. Favre and A. Mebarki, Paris, 1995, pp. 295-302.
[5] Li., C. C., Der Kiureghian, A., “Mean Outcrossing Rate of Nonlinear Response to Stochastic Inputˮ, Engineering probabilistic design and maintenance for food protection, edited by R.Cooke, M. Mendel and H. Vrijling Dordrecht, The Netherland, 1997, pp. 173-176.
[6] Der Kiureghian, A., Li., C. C., “Nonlinear Random Vibration Analysis Through Optimizationˮ, Reliability and Optimization of Structural System, Proc. of the seventh IFIP WG 7.5 working conference on reliability and optimization of structural systems, edited by D. Frangopol, R. Corotis and R. Rackwitz, UK, Pergamon press, 1996, pp. 197-206.
[7] Der Kiureghian, A., “The Geometry of Random Vibration and Solutions by FORM and SORMˮ, Probabilistic Engineering Mechanics, Vol. 15, No. 1, 2000, pp. 81-90.
[8] Vijalapura, P., Conte, J., and Meghella, M., “Time-Variant Reliability Analysis of Hysteretic SDOF Systems with Uncertain Parameters and Subjected to Stochastic Loadingˮ, ICASP8, edited by R.E. Melchers and M.G. Stewart, Vol. 1, Amsterdam, Balkema, 2000, pp. 827-834.
[9] Andrieu-Renaud, C. B., Sudret, B., and Lemaire M., “The PHI2 Method: A Way to Compute Time-Variant Reliabilityˮ, Reliability Engineering & System Safety, Vol. 84, 2004, pp. 75-86.
[10] Sudret, B., “Analytical Derivation of the Outcrossing Rate in Time-Variant Reliability Problemsˮ, Structure and Infrastructure Engineering, Vol. 4, No. 5, 2008, pp. 353-362.
[11] Jiang, C., Huang, X. P., Han, X., and Zhang D. Q., “A Time-Variant Reliability Analysis Method Based on Stochastic Process Discretizationˮ, Journal of Mechanical Design, Vol. 136, 2014, pp. 1-11.
[12] Zhang, D. Q., Han, X., Jiang C., and Li, Q., “Time-Dependent System Reliability Analysis Method Based on the Outcrossing Rateˮ, Proc. of the 11th-12th World Congress on Structural and Multidisciplinary Optimization, Sydney, Australia, 2015.
[13] Ditlevsen, O., Hasofer, A. M., Bjerager and P., Olesen, R., “Directional Simulation in Gaussian Space, Probabilistic Engineering Mechanicsˮ, Vol. 3, No. 4, 1988, pp. 207-17,
[14] Bjerager, P., “Probability Integration by Directional Simulationˮ, Journal of Engineering Mechanics, ASCE, Vol. 114, No. 8, 1988, pp. 1285-302.
[15] Melchers, R. E., “Load-Space Formulation for Time-Dependent Structural Reliabilityˮ, Journal of Engineering Mechanics, ASCE, Vol. 118, No. 5, 1992, pp. 853-870.
[16] Moarefzadeh, M. R., Melchers, R. E., “Directional Importance Sampling for Ill-Proportioned Spacesˮ, Journal of Structural Safety, Vol. 21, 1999, pp. 1-22.
[17] Moarefzadeh, M. R., Melchers, R. E., “Sample-Specific Linearization in Reliability Analysis of Off-Shore Structuresˮ, Journal of Structural Safety, Vol. 18, No. 2/3, 1996, pp. 101-122.
[18] Hu, Z., Du, X., “A Sampling Approach to Extreme Value Distribution for Time-Dependent Reliability Analysisˮ, Journal of Mechanical Design, Vol. 135, No. 7, 2013, pp. 071003-1 071003-8.
[19] Mourelatos, Z. P., Majcher, Z. M., Pandey, V., and Baseski, I., “Time-Dependent Reliability Analysis Using the Total Probability Theoremˮ, Journal of Mechanical Design, Vol. 137, No. 3, 2015, pp. 031405-1 031405-8.
[20] Martin, O. L. H., “Aerodynamics of Wind Turbinesˮ, 2nd ed., Earthscan, Sterling, 2008, Chapter 4.
