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Keywords: Fokker-Planck equation
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Journal Articles
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. March 2011, 78(2): 021002.
Published Online: November 4, 2010
... 2009 25 07 2010 09 09 2010 04 11 2010 04 11 2010 damping Fokker-Planck equation impact (mechanical) stochastic processes white noise While Gaussian white noise or filtered Gaussian white noise has been extensively used as a model of various environmental loadings...
Journal Articles
Journal Articles
Publisher: ASME
Article Type: Technical Briefs
J. Appl. Mech. July 2008, 75(4): 044502.
Published Online: May 14, 2008
... , “ Direct Derivation of Corrective Terms in SDE Through Nonlinear Transformation on FokkerPlanck Equation ,” Nonlinear Dyn. 0924-090X , 36 , pp. 349 – 360 . Vasta , M. , 1995 , “ Exact Stationary Solution for a Class of Non-Linear Systems Driven by a Non-Normal Delta-Correlated Process...
Journal Articles
Publisher: ASME
Article Type: Technical Papers
J. Appl. Mech. March 2007, 74(2): 315–324.
Published Online: February 6, 2006
... averaging, the procedure relies on the Markovian modeling of the response envelope process through the definition of an equivalent linear system with response-dependent parameters. An approximate solution of the associated Fokker-Planck equation is derived by resorting to a Galerkin scheme. Specifically...
Journal Articles
Publisher: ASME
Article Type: Technical Papers
J. Appl. Mech. September 2004, 71(5): 677–690.
Published Online: November 9, 2004
... publication of the paper itself in the ASME JOURNAL OF APPLIED MECHANICS . 02 October 2003 13 April 2004 09 11 2004 stochastic systems asymptotic stability Lyapunov matrix equations stochastic processes linear systems bifurcation Fokker-Planck equation perturbation techniques...
Journal Articles
Publisher: ASME
Article Type: Technical Papers
J. Appl. Mech. June 2000, 67(2): 355–359.
Published Online: November 1, 1999
... validate the method for the nonlinear random vibrations of multi-degree-of-freedom systems with both external and parametric excitations. 18 May 1998 01 November 1999 vibrations nonlinear systems Fokker-Planck equation classical mechanics Practical problems...