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Keywords: Markov processes
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Journal Articles
Article Type: Research Papers
J. Appl. Mech. May 2009, 76(3): 031002.
Published Online: March 5, 2009
... for an expected time interval between outbreaks in the intermittent response. Fokker-Planck equation Markov processes partial differential equations probability stability Classical definitions of stability and instability deal with long-term behavior of dynamic systems, that is, behavior at t...
Journal Articles
Article Type: Technical Papers
J. Appl. Mech. March 2007, 74(2): 315–324.
Published Online: February 6, 2006
... Markov processes Gaussian noise white noise Fokker-Planck equation Galerkin method series (mathematics) eigenvalues and eigenfunctions boundary-value problems The response of nonlinear oscillators subjected to random excitations has been extensively studied over a period of several decades...
Journal Articles
Article Type: Technical Papers
J. Appl. Mech. December 2000, 67(4): 763–771.
Published Online: August 14, 2000
... oscillations damping classical mechanics Markov processes The problem of predicting the dynamic response of flexible structures to random environmental loading occurs in a number of engineering fields. Examples include the wave-induced motion of offshore structures and the vibration of tall...