Question

In: Mechanical Engineering

Which model, exponential failure rate or Weibull failure rate is suitable to capture the wearout process...

Which model, exponential failure rate or Weibull failure rate is suitable to capture the wearout
process of a pump bearing? (justify). Using MS Excel and simulated data, estimate the
reliability a pump bearing for every month over 10 years of operations (upload the MS
Excel file on the D2L along with your answer sheet).

Solutions

Expert Solution

In general the value of Location Parameter is taken as zero.

The exponential bearing failure rate is constant with respect to time means it does not take accountability of previuos failures while in case of weilbull distribution the failure rate is not constant with respect to time for example in case of failure due to wear the value of weibull distribution continuously increases.

Hence we can say that the weibull distribution is good for reliability prediction of pump bearings.

Weibull Distribution solution using Excel Sheet-

We took the following values of scale parameter and shape parameter from literature-

Scale Parameter=40000 hours

Shape Parameter=1.43

Calculated values of Reability Vs Months are given in the table below-

Graph of reliabilty vs time in months is given below-

The excel sheet to calculate these values is given below-


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