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First-passage time for randomly excited non-linear oscillators
2 references·16 citing·41 second hop
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this work references cited by second hop

References

  • 1966Some First-Passage Problems in Random Vibration177 cited
  • 1986First-passage probabilities for randomly excited systems: Diffusion methods86 cited

Cited by

  • 1988First-passage time probability of non-linear stochastic systems by generalized cell mapping method68 cited
  • 1999Assessment of low probability events of dynamical systems by controlled Monte Carlo simulation65 cited
  • 2002First-Passage Failure of Quasi-Integrable Hamiltonian Systems60 cited
  • 2003RELIABILITY SENSITIVITY FOR ROTOR–STATOR SYSTEMS WITH RUBBING56 cited
  • 2018Dimension-reduced FPK equation for additive white-noise excited nonlinear structures56 cited
  • 1990Approximate first-passage and extremes of narrow-band Gaussian and non-Gaussian random vibrations50 cited
  • 1988A first passage approximation for normal stationary random processes43 cited
  • 2022Reliability of dynamical systems with combined Gaussian and Poisson white noise via path integral method35 cited
  • 2022Determination of monopile offshore structure response to stochastic wave loads via analog filter approximation and GV-GDEE procedure30 cited
  • 2010First passage failure of SDOF nonlinear oscillator with lightly fractional derivative damping under real noise excitations28 cited
  • 2003Optimal Bounded Control of First-Passage Failure of Quasi-Integrable Hamiltonian Systems with Wide-Band Random Excitation24 cited

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  • 1996On interpolating between probability distributions20 cited
  • 2009First passage failure of quasi-partial integrable generalized Hamiltonian systems18 cited
  • 2011First passage failure of MDOF quasi-integrable Hamiltonian systems with fractional derivative damping17 cited
  • 2007First-passage failure of strongly nonlinear oscillators under combined harmonic and real noise excitations16 cited
  • 2008First-passage failure of quasi linear systems subject to multi-time-delayed feedback control and wide-band random excitation14 cited