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Keywords: Stochastic systems
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Journal Articles
Article Type: Research-Article
J. Comput. Nonlinear Dynam. September 2018, 13(9): 090913.
Paper No: CND-17-1332
Published Online: July 26, 2018
...Edmon Perkins; Tim Fitzgerald For stochastic systems, the Fokker–Planck equation (FPE) is used to describe the system dynamics. The FPE is a partial differential equation, which is a function of all the variables in state space and of time. To solve the FPE, several methods are used, including...
Journal Articles
Article Type: Research-Article
J. Comput. Nonlinear Dynam. September 2018, 13(9): 090914.
Paper No: CND-17-1377
Published Online: July 26, 2018
... & Business Media , London. Computational mechanics Stochastic systems Structural dynamics Uncertainty quantification Fig. 1 (Top) Background stochastic excitation including impulsive loads in (vertical arrows) upward arrows. (Bottom) System response displacement. Fig. 2 Schematic...
Journal Articles
Article Type: Research-Article
J. Comput. Nonlinear Dynam. March 2018, 13(3): 031007.
Paper No: CND-17-1407
Published Online: January 10, 2018
... Railroad dynamics Stochastic systems Design sensitivity Nonlinear systems Fig. 1 3D vehicle–slab track coupled model: ( a ) side view and ( b ) end view. 1—car body; 2—bogie frame; 3—wheelset; 4—rail irregularities; 5—rails; 6—rail pads; 7—track slabs; 8—CA mortar; and 9—subgrade; ξ i...
Journal Articles
Article Type: Research-Article
J. Comput. Nonlinear Dynam. September 2017, 12(5): 051030.
Paper No: CND-17-1138
Published Online: July 12, 2017
.... , 2011 , The Duffing Equation: Nonlinear Oscillators and Their Behaviour , Wiley , New York . [3] Jung , P. , 1993 , “ Periodically Driven Stochastic Systems ,” Phys. Rep. , 234 ( 4–5 ), pp. 175 – 295 . 10.1016/0370-1573(93)90022-6 [4] Ellermann , K. , 2005 , “ On the...
Journal Articles
Article Type: Research-Article
J. Comput. Nonlinear Dynam. September 2017, 12(5): 051010.
Paper No: CND-16-1304
Published Online: May 4, 2017
.... , and Tamarkin , J. D. , 1929 , “ Remarks on a Known Example of a Monotone Continuous Function ,” Am. Math. Mon. , 36 ( 5 ), pp. 255 – 264 . 10.2307/2298506 Fractional calculus Nonlinear phenomena Stochastic systems where transitional moments are given by (31) N L...
Journal Articles
Article Type: Research-Article
J. Comput. Nonlinear Dynam. July 2017, 12(4): 041002.
Paper No: CND-16-1102
Published Online: January 19, 2017
.... Mech. , 26 ( 3 ), pp. 341 – 344 . http://authors.library.caltech.edu/368/1/CAUjam59a.pdf [17] Bover , D. C. C. , 1978 , “ Moment Equation Methods for Nonlinear Stochastic Systems ,” J. Math. Anal. Appl. , 65 ( 2 ), pp. 306 – 320 . 10.1016/0022-247X(78)90182-8 [18] Ibrahim , R. A...
Journal Articles
Article Type: Research-Article
J. Comput. Nonlinear Dynam. May 2017, 12(3): 031015.
Paper No: CND-16-1305
Published Online: December 5, 2016
... ,” Int. J. Non-Linear Mech. , 38 ( 10 ), pp. 1495 – 1511 . 10.1016/S0020-7462(02)00085-9 [11] Liew , K. M. , and Liu , X. B. , 2004 , “ The Maximal Lyapunov Exponent for a Three-Dimensional Stochastic System ,” ASME J. Appl. Mech. , 71 ( 5 ), pp. 677 – 690 . 10.1115/1.1782648 [12...
Journal Articles
Article Type: Research-Article
J. Comput. Nonlinear Dynam. January 2017, 12(1): 011004.
Paper No: CND-15-1356
Published Online: September 1, 2016
...] Alastair , C. , 1981 , Basic Lubrication Theory , 3rd ed. , Ellis Horwood Limited , Chichester, UK . [23] Fuller , D. D. , 1984 , Theory and Practice of Lubrication for Engineers , 2nd ed. , Wiley , New York . Bifurcations Nonlinear dynamical systems Stochastic systems...
Journal Articles
Article Type: Research-Article
J. Comput. Nonlinear Dynam. September 2016, 11(5): 051029.
Paper No: CND-15-1404
Published Online: June 9, 2016
...] Sun , J. Q. , and Hsu , C. S. , 1988 , “ First-Passage Time Probability of Non-Linear Stochastic Systems by Generalized Cell Mapping Method ,” J. Sound Vib. , 124 ( 2 ), pp. 233 – 248 . 10.1016/S0022-460X(88)80185-8 [53] Hsu , C. S. , and Chiu , H. M. , 1986 , “ A Cell Mapping...
Journal Articles
Article Type: Research Papers
J. Comput. Nonlinear Dynam. January 2008, 3(1): 011008.
Published Online: November 26, 2007
... methods spectral analysis stochastic systems power spectrum density parametrical system stochastic excitation spectral approach Characteristics of the random external excitation: ( a ) PSD of the white noise used; ( b ) one temporal sample Stability map of the 1-DOF system: Gray...