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Probabilistic Solutions of a Nonlinear Plate Excited by Gaussian White Noise Fully Correlated in Space Journal article
INTERNATIONAL JOURNAL OF STRUCTURAL STABILITY AND DYNAMICS, 2017,Volume: 17,Issue: 9
Authors:  Er, G. K.;  Iu, V. P.
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Nonlinear plate  Fokker-Planck-Kolmogorov equation  probabilistic solution  MDOF system  
Stationary probabilistic solutions of the cables with small sag and modeled as MDOF systems excited by Gaussian white noise Journal article
Nonlinear Dynamics, 2016,Volume: 85,Issue: 3,Page: 1887-1899
Authors:  Er G.K.;  Iu V.P.;  Wang K.;  Guo S.S.
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Cable  Exponential polynomial closure method  Fokker–Planck–Kolmogorov equation  Multi-degree-of-freedom  Nonlinear random vibration  State-space-split method  
Nonlinear random vibration of the cable modeled as MDOF system and excited by filtered Gaussian white noise Conference paper
Proceedings of the ECCOMAS Thematic Conference on Multibody Dynamics 2015, Multibody Dynamics 2015
Authors:  Er G.K.;  Iu V.P.;  Wang K.
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Cable  Fokker-Planck-Kolmogorov equation  High dimensionality  Nonlinear  Random vibration  State-space-split method  
The probabilistic solution of the plate with simple-supported and stretched boundary and uniform load being Gaussian white noise Conference paper
Procedia IUTAM
Authors:  Er G.K.;  Iu V.P.
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Fokker-planck-kolmogorov equation  Probabilistic solution  State-space-split method  Von kármán plate  
Probabilistic solutions of some multi-degree-of-freedom nonlinear stochastic dynamical systems excited by filtered Gaussian white noise Journal article
Computer Physics Communications, 2014,Volume: 185,Issue: 4,Page: 1217-1222
Authors:  Er G.-K.
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Exponential polynomial closure  Fokker-Planck-Kolmogorov equation  High dimensions  Nonlinear stochastic dynamical system  State-space-split  
Probabilistic solutions of nonlinear oscillators excited by correlated external and velocity-parametric Gaussian white noises Journal article
Nonlinear Dynamics, 2014,Volume: 77,Issue: 3,Page: 597-604
Authors:  Guo S.-S.;  Er G.-K.;  Lam C.C.
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Correlated Excitations  Exponential Polynomial Closure Method  Fokker-planck-kolmogorov Equation  Nonzero Mean  
State-space-split method for some generalized Fokker-Planck-Kolmogorov equations in high dimensions Journal article
Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 2012,Volume: 85,Issue: 6
Authors:  Er G.-K.;  Iu V.P.
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The probabilistic solution of stochastic oscillators with even nonlinearity under poisson excitation Journal article
Central European Journal of Physics, 2012,Volume: 10,Issue: 3,Page: 702-707
Authors:  Guo S.-S.;  Er G.-K.
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even nonlinearity  exponential-polynomial closure method  Fokker-Planck-Komogorov (FPK) equation  poisson white noise  
Responses of Nonlinear Oscillators Excited by Nonzero-Mean Parametric Poisson Impulses on Displacement Journal article
Journal of Engineering Mechanics, 2012,Volume: 138,Issue: 5,Page: 450-457
Authors:  Zhu HT;  Er GK;  Iu VP;  Kou KP
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Approximation Methods  Nonlinear Response  Probability Density Functions  Stochastic Processes  
The approximate solutions of FPK equations in high dimensions for some nonlinear stochastic dynamic systems Journal article
Communications in Computational Physics, 2011,Volume: 10,Issue: 5,Page: 1241-1256
Authors:  Guo-Kang Er;  Vai Pan Iu
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Fokker-planck-kolmogorov Equation  Large-scale Systems  Nonlinear Stochastic Dynamic Systems  Probability Density Function  Subspace