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.
Analysis of non linear oscillators under stochastic excitation by the Fokker- Planck- Kolmogorov equation / Baratta, Alessandro; Zuccaro, Giulio. - In: NONLINEAR DYNAMICS. - ISSN 0924-090X. - STAMPA. - 5:3(1994), pp. 255-271. [10.1007/BF00045336]
Analysis of non linear oscillators under stochastic excitation by the Fokker- Planck- Kolmogorov equation
BARATTA, ALESSANDRO;ZUCCARO, GIULIO
1994
Abstract
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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
