Reliability Calculation and Perturbation Stochastic Finite Element

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This paper proposes a method of calculating reliability using perturbation stochastic finite element. The mean and variance of the stress can be computed by the perturbation stochastic finite element. Computer program is used to generate samples of stress and strength. If the stress is greater than the strength, the structure will fail. The Monte Carlo simulation is proposed to compute structural reliability. Reliability calculation using the Monte Carlo simulation is developed. A numerical example demonstrates the proposed method is feasible.

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570-573

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February 2012

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© 2012 Trans Tech Publications Ltd. All Rights Reserved

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[1] Liu W K, Belytschko T , Mani A. Random field finite element. J Nume Meth Engng ,23(1986):1831-1845.

Google Scholar

[2] Wenhui Mo.Stochastic finite element for structural vibration. Mathematical problems in engineering,3(2010):22-40

Google Scholar

[3] Wenhui Mo. Dynamic analysis of stochastic finite element based on sensitivity computation. 2010 International conference on Smart Materials and Intelligent Systems.Advanced materials research, 1264-1269(2011):143-144

DOI: 10.4028/www.scientific.net/amr.143-144.1264

Google Scholar

[4] Peiling Liu, Kuogin Liu. Selection of random field mesh in finite element reliability analysis.Journal of Engineering Mechanics.119(1993):667-680

DOI: 10.1061/(asce)0733-9399(1993)119:4(667)

Google Scholar

[5] X.Q. Peng, Liu Geng,Wu Liyan G.R. Liu and K.Y. Lam. A stochastic finite element method for fatigue reliability analysis of gear teeth subjected to bending. Computational Mechanics 21(1998) 253-261.

DOI: 10.1007/s004660050300

Google Scholar

[6] Pradlwarter H.J.; Schueller,G.l.Uncertain linear structural systems in dynamics: Efficient stochastic reliability assessment. Computers and Structures. 88(2010):74-86.

DOI: 10.1016/j.compstruc.2009.06.010

Google Scholar

[7] Wenhui Mo.Monte Carlo simulation of reliability for gear. 2011 International Conference on Computational Materials Science. Advanced materials resear- ch ,268-270(2011):42-45

DOI: 10.4028/www.scientific.net/amr.268-270.42

Google Scholar