A nonlinear system under combined periodic and random excitation |
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Authors: | R. N. Iyengar |
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Affiliation: | (1) Department of Civil Engineering and Center for Atmospheric Sciences, Indian Institute of Science, Bangalore 12, India |
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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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Keywords: | Nonlinear equation stochastic process stability steady-state Gaussian closure |
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