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- W2084024406 abstract "The Markov property of the energy envelope of a randomly excited, lightly damped oscillator, with a non-linear restoring force, is used as the basis of a numerical method for calculating the probability of first passage failure, P(T), in an interval 0−T. By a suitable transformation it is shown that the diffusion equation of the energy envelope can be cast into a form which is similar to the limiting equation of a random walk process. This enables a discrete random walk analogue of the energy envelope to be formulated, which, when used in conjunction with an appropriate absorbing barrier, allows P(T) to be computed for oscillators with arbitrary non-linear damping and restoring forces. Results obtained by this method are compared with corresponding digital simulation estimates, for the particular case of an oscillator of the Duffing type." @default.
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- W2084024406 date "1978-01-01" @default.
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- W2084024406 title "First passage time for oscillators with non-linear restoring forces" @default.
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- W2084024406 doi "https://doi.org/10.1016/0022-460x(78)90571-0" @default.
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