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Single degree of freedom nonlinear system reliability analysis of random parameters

Reliability curve is a random process by the excitation on the case, for this case, the general sample can be random excitation during the first four order statistics (ie,[link widoczny dla zalogowanych], random process mean, variance, etc.) into the equation to calculate the preceding stage,[link widoczny dla zalogowanych], it is clear that the increase the workload of another article, this example only the network out of the short description of the dynamic process, a long time if you need statistical properties of dynamic process, of course, calculated to increase the amount of 4 Conclusions In this paper, four moments of technical and Edgeworth series to out with random parameters adopted single degree of freedom nonlinear vibration analysis of the numerical integration formula for the reliability of the application: = order Taylor formula D random response and state function of the first four moments of the approximate expression. In the derivation process, the relaxation of the Distribution of the random parameters amnesty and incentive-based restrictions on the type, so that it closer to engineering practice shows that the proposed method is a practical and effective numerical methods, can solve a random parameters of single degree of freedom nonlinear vibration system reliability analysis problems. Vibration Engineering 3S2 Reference Volume 1 8-bit Autumn policies. Random vibration. Beijing: Science Press,[link widoczny dla zalogowanych], l9922: ~ pencerBF, E] ishakoffI. Reliabi [ityofuncertainlinearandnonlinearsystems. J. ofEngrgMech. , AStCE,[link widoczny dla zalogowanych], 1988'l14 (1)} 1351983SpencerBF. BergmanLA. OnthereliabilityofasimplehysteretlcsystemJ. ofEngrgMech · ASCE. , 1985: II1 (12): 1502l5144A Random vibration analysis of linear systems a number of issues. Vibration Engineering, 1988; 1 (3) 6875ReliabilityAnalysisofSingle-· Degree ·-of - FreedomNonlinearSystemswithRandomParametersZhangYiminChenSuhuanLiuQiaoling (DeptofAppliedScience,[link widoczny dla zalogowanych], JilinUniversityofTechno] ogyChangchun · 130025) AbstractThpaperpresentsthereliahitityanalysisme ~ hodofuncertainsirtgle ~. egree ~ 31 ~ on [inearsystemsThefourthvllorftelxtstechniqueisemployedtodeterminethefirstfourmomentsofthesystemreponandthesratefunction.Thedistributionfunctionsofthesystemresponseandthestatenctionareappr3ximate [yexpressedintermsofthestandandnormaldistributionfunctionyusingEdgeworthseriesapproachsuchthatthereLiahiIityisobtained.Keywords: randomparameter ~ non] inearvibration ~ reliability: thefirstfourmoments

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