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Numerical calculation for first excursion probabilities of linear systems

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References

1972Properties of Spectral Moments with Applications to Random Vibration347 cited
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2003Equivalent linearization and Monte Carlo simulation in stochastic dynamics152 cited
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2005Reliability of linear structures with parameter uncertainty under non-stationary earthquake63 cited
2002First-Passage Failure of Quasi-Integrable Hamiltonian Systems60 cited
1976First passage time for the envelope of a randomly excited linear oscillator53 cited
1989Explicit solutions for the response of simple systems subjected to nonstationary random excitation47 cited
1999Importance sampling for first passage problems of nonlinear structures45 cited
1988A first passage approximation for normal stationary random processes43 cited
1980First-Passage Approximations for Simple Oscillators29 cited

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2018First passage probability assessment of stationary non-Gaussian process using the third-order polynomial transformation17 cited

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