Abstract
The anharmonic oscillator under combined sinusoidal and white noise excitation is studied using the Gaussian closure approximation. The mean response and the steady-state variance of the system is obtained by the WKBJ approximation and also by the Fokker-Planck equation. The multiple steadystate solutions are obtained and their stability analysis is presented. Numerical results are obtained for a particular set of system parameters. The theoretical results are compared with a digital simulation study to bring out the usefulness of the present approximate theory.
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Iyengar, R.N. A nonlinear system under combined periodic and random excitation. J Stat Phys 44, 907–920 (1986). https://doi.org/10.1007/BF01011913
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DOI: https://doi.org/10.1007/BF01011913