Reliability Engineering in Mechanical Engineering Project II Group #1: 천문일, 최호열

Conclusion from Project #1: Data set n=26 ξ m

Conclusion from Project #1: Data set n=28 μ298.4 σ227.3

Determining Strength/Stress Data set# DataMean Data set # Data set # > 1 Data 1 : Stress Data 2 : Strength

Reliability Calculation Methods

Calculations using equations from project I Data #1: mean rank, Weibull distribution: Fsigma(x)= 1-(exp(-(x/327.01)^ )) Data #2: mean rank, normal distribution: Fstrength(x)= 0.5*(1+erf((x-298.4)/(227.3*sqrt(2))))

Probability Distribution Function f(stress) x Range: to 1000

Calculations through Origin program Using Integrate() function on origin, we determined our values to be: R= Pf=

Using Data Sets

CDF Value Graph of Data Values don’t match one to one Interpolation needed

Lower Limit (Reliability) R= Pf(upper)=

Upper Limit (Reliability) R= Pf(lower)=

Triangle method (Reliability) R= Pf=

Verifying Lower and Upper Limit Reliability Values R(lower)= R(upper)= R(average)= =R(triangle) Pf(upper)= Pf(lower)= Pf(average)= =Pf(triangle)

Summary ValueLowerUpperTrianglePDF R ValueUpperLowerTrianglePDF Pf Sum1111 Conclusion: The most strict method is the Lower method (lowest R value) The method with the closest value to PDF method is the Upper Method.