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Dynamical reliability of internally resonant or non-resonant strongly nonlinear system under random excitations
10 references·1 citing·42 second hop
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this work references cited by second hop

References

  • 1965On the relation between ordinary and stochastic differential equations697 cited
  • 1986Stochastic averaging: An approximate method of solving random vibration problems577 cited
  • 1993On the numerical solution of the Fokker-Planck equation for nonlinear stochastic systems289 cited
  • 2000Efficient path integration methods for nonlinear dynamic systems250 cited
  • 1986First-passage probabilities for randomly excited systems: Diffusion methods86 cited
  • 2004Stochastic Averaging of Preisach Hysteretic Systems45 cited
  • 2013Survival Probability Determination of Nonlinear Oscillators Subject to Evolutionary Stochastic Excitation44 cited
  • 2011New Analytical Solution of the First-Passage Reliability Problem for Linear Oscillators30 cited
  • 2003Optimal Bounded Control of First-Passage Failure of Quasi-Integrable Hamiltonian Systems with Wide-Band Random Excitation24 cited
  • 2000Some thoughts on averaging techniques in stochastic dynamics12 cited

Cited by

  • 2021Response and reliability analysis of random time-delay controlled systems undergo wide-band random excitations7 cited

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