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Nonlinear Stochastic Mechanics

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References

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1986Stochastic averaging: An approximate method of solving random vibration problems577 cited
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1990The Generalized Cell Mapping Method in Nonlinear Random Vibration Based Upon Short-Time Gaussian Approximation199 cited
1966Some First-Passage Problems in Random Vibration177 cited
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1985A finite element method for the statistics of non-linear random vibration110 cited
1988First-passage time probability of non-linear stochastic systems by generalized cell mapping method68 cited
1991A general numerical solution method for Fokker-Planck equations with applications to structural reliability61 cited

Cited by

2009Modified Path Integral Solution of Fokker–Planck Equation: Response and Bifurcation of Nonlinear Systems29 cited
1993A new philosophy for stochastic equivalent linearization28 cited
1995Random vibration of a nonlinearly deformed beam by a new stochastic linearization technique25 cited

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1994Modified stochastic linearization technique for colored noise excitation of Duffing oscillator15 cited

2018Local averaged path integration method approach for nonlinear dynamic systems13 cited

2017A transformed path integral approach for solution of the Fokker–Planck equation10 cited

1998A subtle error in conventional stochastic linearization techniques10 cited

2012The Tale of Stochastic Linearization Technique: Over Half a Century of Progress9 cited

2010Nonclassical Linearization Criteria in Nonlinear Stochastic Dynamics7 cited