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Reliability Assessment Using Bootstrapping and Identification of Point of Diminishing Returns

2016, Master of Science, University of Toledo, Mechanical Engineering.
The safety of dynamic systems under random vibrations is usually quantified by using
probabilistic methods. This is because of the inherent randomness associated with some
parameters of a system. Simulation methods such as Monte Carlo Simulation (MCS),
Separable Monte Carlo (SMC), and Importance Sampling (IS) are used to estimate the
probability of failure of dynamic systems under random vibration. These methods are
flawed or normally pose difficulties that prompt analyst to seek out other methods of
simulation. In this research, bootstrapping was used to estimate the probability of failure
and accuracy of dynamic systems under time-variant random vibration. MCS was used to
compare the results obtained by bootstrapping. Increasing the degrees of freedom of a
system results in an enormous increase in the total number of time histories of excitation
created. This research focused on investigating the effect of increasing the degrees of
freedom on the accuracy of the probability of failure of the systems under investigation.
It was concluded that the points of diminishing returns of the standard deviation of the
probability of failure is independent on the DOF of the systems under consideration.
Nikolaidis Efstratios, Dr. (Committee Chair)
Berhan Lesley, Dr. (Committee Member)
Pourazady Mehdi, Dr. (Committee Member)
Elahinia Mohammad , Dr. (Committee Member)

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Ugwumba, M. (2016). Reliability Assessment Using Bootstrapping and Identification of Point of Diminishing Returns . (Electronic Thesis or Dissertation). Retrieved from https://etd.ohiolink.edu/

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Ugwumba, Miracle. "Reliability Assessment Using Bootstrapping and Identification of Point of Diminishing Returns ." Electronic Thesis or Dissertation. University of Toledo, 2016. OhioLINK Electronic Theses and Dissertations Center. 16 Dec 2017.

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Ugwumba, Miracle "Reliability Assessment Using Bootstrapping and Identification of Point of Diminishing Returns ." Electronic Thesis or Dissertation. University of Toledo, 2016. https://etd.ohiolink.edu/

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