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First-crossing probabilities of the linear oscillator
2 references·16 citing·45 second hop
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References

  • 1976Probabilistic Theory of Structural Dynamics1,398 cited
  • 1966Some First-Passage Problems in Random Vibration177 cited

Cited by

  • 2014A Time-Variant Reliability Analysis Method Based on Stochastic Process Discretization131 cited
  • 2004Dynamic response and reliability analysis of structures with uncertain parameters109 cited
  • 1986First-passage probabilities for randomly excited systems: Diffusion methods86 cited
  • 2021System reliability analyses of static and dynamic structures via direct probability integral method79 cited
  • 2021Reliability analysis using adaptive Polynomial-Chaos Kriging and probability density evolution method77 cited
  • 1998First passage of uncertain single degree-of-freedom nonlinear oscillators72 cited
  • 2016A new method for reliability assessment of structural dynamic systems with random parameters63 cited
  • 2021Efficient reliability analysis based on deep learning-enhanced surrogate modelling and probability density evolution method58 cited
  • 2007Dynamic response and reliability analysis of tall buildings subject to wind loading58 cited
  • 2003RELIABILITY SENSITIVITY FOR ROTOR–STATOR SYSTEMS WITH RUBBING56 cited
  • 2020Direct probability integral method for static and dynamic reliability analysis of structures with complicated performance functions54 cited
  • 1982

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On the reliability of the linear oscillator and systems of coupled oscillators
53 cited
  • 1976First passage time for the envelope of a randomly excited linear oscillator53 cited
  • 1990Approximate first-passage and extremes of narrow-band Gaussian and non-Gaussian random vibrations50 cited
  • 2010Structural Reliability Applications of Nonstationary Spectral Characteristics48 cited
  • 2010Prediction of Extreme Response Statistics of Narrow-Band Random Vibrations47 cited