An Analytical Approach for the Growth Rate of the Variance of the Deformation Related to an Elasto-Plastic Oscillator Excited by a White Noise

[1]  Ove Ditlevsen,et al.  Plastic displacement distributions of the Gaussian white noise excited elasto-plastic oscillator , 1993 .

[2]  Alain Bensoussan,et al.  Behavior of the plastic deformation of an elasto-perfectly-plastic oscillator with noise , 2011, 1112.4125.

[3]  Gaussian excited elasto-plastic oscillator with rare visits to the plastic domain , 1991 .

[4]  Alain Bensoussan,et al.  Degenerate Dirichlet Problems Related to the Invariant Measure of Elasto-Plastic Oscillators , 2008 .

[5]  Laurent Mertz,et al.  An empirical study on plastic deformations of an elasto-plastic problem with noise , 2012 .

[6]  J. B. Roberts.  Literature Review : Response of Nonlinear Mechanical Systems To Random Excitation Part 2: Equivalent Linearization and Other Methods , 1981 .

[7]  A simplified analysis for the evaluation of stochastic response of elasto-plastic oscillators , 1999 .

[8]  W. D. Iwan,et al.  Response of the Bilinear Hysteretic System to Stationary Random Excitation , 1968 .

[9]  Alain Bensoussan,et al.  Applications of Variational Inequalities in Stochastic Control , 1982 .

[10]  Laurent Mertz,et al.  Approximate Solutions of a Stochastic Variational Inequality Modeling an Elasto-Plastic Problem with Noise , 2013 .

[11]  Wilfred D. Iwan,et al.  The stochastic response of strongly yielding systems , 1988 .

[12]  Wilfred D. Iwan,et al.  Some Observations on the Random Response of an Elasto-Plastic System , 1988 .

[13]  N. Krylov.  Controlled Diffusion Processes , 1980 .

[14]  Alain Bensoussan,et al.  An Ultra Weak Finite Element Method as an Alternative to a Monte Carlo Method for an Elasto-Plastic Problem with Noise , 2009, SIAM J. Numer. Anal..

[15]  Alain Bensoussan,et al.  An analytic approach to the ergodic theory of stochastic variational inequalities , 2011, 1112.4124.

[16]  Thomas K. Caughey,et al.  Random Excitation of a System With Bilinear Hysteresis , 1960 .

[17]  A. Bensoussan,et al.  Contrôle impulsionnel et inéquations quasi variationnelles , 1982 .

[18]  Terry D. Scharton,et al.  Plastic Deformation in Random Vibration , 1966 .

[19]  Cyril Feau,et al.  Probabilistic response of an elastic perfectly plastic oscillator under Gaussian white noise , 2008 .

[20]  Ove Ditlevsen,et al.  Elasto‐Plastic Oscillator with Gaussian Excitation , 1986 .