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Analysis of nonlinear oscillators under stochastic excitation by the Fokker-Planck-Kolmogorov equation

✍ Scribed by A. Baratta; G. Zuccaro

Publisher
Springer Netherlands
Year
1994
Tongue
English
Weight
641 KB
Volume
5
Category
Article
ISSN
0924-090X

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✦ Synopsis

The paper deals with the analysis of stochastic mechanical systems with one degree of freedom and proposes a simple procedure to obtain a representation of the dynamical response. In particular, approximate solution of the FPK equation is obtained for a system subjected to a stochastic force term. The resolving procedure is implemented with reference to a polynomial expansion of the restoring force function. Numerical tests are performed with reference to Duffing and van der Pol oscillators, showing good agreement with simulated response.

πŸ“œ SIMILAR VOLUMES

Approximate solution of the Fokker-Planc
Approximate solution of the Fokker-Planck-Kolmogorov equation by finite elements
✍ El-Gebeily, Mohamed A. ;Shabaik, Hosam E. Emara πŸ“‚ Article πŸ“… 1994 πŸ› John Wiley and Sons 🌐 English βš– 417 KB

## Abstract The paper considers the solution of the Fokker‐Planck‐Kolmogorov equation by the finite element method (FEM). The problem is set in a variational formulation suitable for the FEM. Some theoretical aspects related to applying the method are discussed. Discretization of the problem is car