Fourier-based maximum entropy method in stochastic dynamics

Structural Safety

Volumn 20, Issue 3, 1998, Pages 221-235

  Hurtado, Jorge E ^a   Barbat, Alex H ^b  

^a UNIVERSIDAD NACIONAL DE COLOMBIA   (Colombia)

^b UNIVERSITAT POLITÈCNICA DE CATALUNYA   (Spain)

Author keywords

Fast Fourier transform; Nonlinear systems; Numerical integration; Principle of maximum entropy; Random vibration; Stochastic differential equations

Indexed keywords

DIFFERENTIAL EQUATIONS; FAST FOURIER TRANSFORMS; INTEGRATION; NONLINEAR SYSTEMS; PROBABILITY DENSITY FUNCTION; RANDOM PROCESSES;

MAXIMUM ENTROPY PRINCIPLE; STOCHASTIC DIFFERENTIAL EQUATIONS;

VIBRATIONS (MECHANICAL);

EID: 0032306337     PISSN: 01674730     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-4730(98)00008-3     Document Type: Article

References (14)

1. Roberts JB, Spanos PD. Random vibration and statistical linearization. Chichester, UK: John Wiley, 1990.
2. Muscolino G. Response of linear and non-linear structural systems under Gaussian or non-Gaussian filtered input. In: Casciati F, editor. Dynamic motion. Chaotic and Stochastic Behaviour. Wien: Springer-Verlag, 1993.
3. Nielsen S.R.K., Mørk K.J., Thoft-Christensen P. Stochastic response of hysteretic systems. Structural Safety. 9:1990;59-71.
4. DiPaola M, Ricciardi G, Vasta M. A method for the probabilistic analysis of nonlinear systems. Probabilistic Engineering Mechanics. 10:1995;1-10.
5. Langtangen H.P. A general numerical solution method for the Fokker-Planck equation with applications to structural reliability. Probabilistic Engineering Mechanics. 6:1991;33-48.
6. Spencer B.F., Bergman L.A. On the numerical solution of the Fokker-Planck equation for nonlinear stochastic systems. Nonlinear Dynamics. 4:1993;357-372.
7. Shiau L.C., Wu T.Y. A finite element method for analysis of a non-linear system under stochastic parametric and external excitation. International Journal of Nonlinear Mechanics. 31:1996;193-201.
8. Trȩbicki J, Sobczyk K. Maximum entropy principle and non stationary distributions of stochastic systems. Probabilistic Engineering Mechanics. 11:1996;169-178.
9. Sobczyk K, Trȩbicki J. Maximum entropy principle in stochastic dynamics. Probabilistic Engineering Mechanics. 5:1990;102-110.
10. Kapur JN. Maximum entropy models in science and engineering. New Delhi: John Wiley and Sons, 1989.
11. Gzyl H. The method of maximum entropy. Singapore: World Scientific, 1995.
12. Øksendal B. Stochastic differential equations. Berlin: Springer-Verlag, 1995.
13. Kloeden PE, Platten E. Numerical solution of stochastic differential equations. Berlin: Springer-Verlag, 1992.
14. Oppenheim AV, Schafer RW. Discrete-time signal processing. New Jersey: Prentice Hall International, 1989.