environment and material properties always exist during machine lifetime. A time-dependent model incorporating such uncertainties based on stochastic differential equation theory is presented
which provides a coherent framework for calculating time-dependent reliability under such external uncertainties leading to uncertainties in stress and strength. Therefore
the reliability for all time horizons can be gained via this model to predict the uncertain evolution and movement or the trend of machine reliability. This research can also provide a basis for maintenance of machine.
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