Solutions of Fokker-Planck Equation with Applications in Nonlinear Random Vibration
- 8 July 1969
- journal article
- website
- Published by Institute of Electrical and Electronics Engineers (IEEE) in Bell System Technical Journal
- Vol. 48 (6) , 2031-2051
- https://doi.org/10.1002/j.1538-7305.1969.tb01163.x
Abstract
In the course of analyzing the dynamic behavior of mechanical systems subjected to random excitations, we investigate the associated Fokker-Planck equation. We also discuss the relationship between the characteristics of the random excitation and the...Keywords
This publication has 12 references indexed in Scilit:
- Classical Noise. VI. Noise in Self-Sustained Oscillators near ThresholdPhysical Review B, 1967
- Power Spectral Density of the Response of a Nonlinear System to Random ExcitationThe Journal of the Acoustical Society of America, 1965
- Uniqueness of Steady-State Solutions to the Fokker-Planck EquationJournal of Mathematical Physics, 1965
- Random Excitation of a Nonlinear System with Tangent Elasticity CharacteristicsThe Journal of the Acoustical Society of America, 1964
- On the dynamical equations of conditional probability density functions, with applications to optimal stochastic control theoryJournal of Mathematical Analysis and Applications, 1964
- Equivalent Linearization TechniquesThe Journal of the Acoustical Society of America, 1963
- Perturbation Techniques for Random Vibration of Nonlinear SystemsThe Journal of the Acoustical Society of America, 1963
- Empirical Evidence for Nonlinearity and Directions for Future WorkThe Journal of the Acoustical Society of America, 1963
- Random Vibrations of Non-Linear SuspensionsJournal of Mechanical Engineering Science, 1960
- Fokker-Planck Equation for an Inverse-Square ForcePhysical Review B, 1957