Summary
The random response of a nonlinear two-degree-of-freedom oscillator subjected to wide band excitations is analyzed. The oscillator involves cubic nonlinear inertia coupling between its normal modes. The random excitations appear as non-homogeneous and parametric terms in the equations of motion. In the neighborhood of fourth-order internal resonance condition the response statist ics are determined by using the Fokker-Planck equation approach and a non-Gaussian closure scheme based on the properties of higher-order cumulants. Contrary to the Gaussian closure solution, the non-Gaussian closure yields a strictly stationary response in the time domain. It is found that unbounded response statistics take place at certain regions which are located above or below the exact internal resonance.
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© 1988 Springer-Verlag Berlin Heidelberg
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Ibrahim, R.A., Soundararajan, A. (1988). Non-Gaussian Response of Nonlinear Oscillators with Fourth-Order Internal Resonance. In: Ziegler, F., Schuëller, G.I. (eds) Nonlinear Stochastic Dynamic Engineering Systems. IUTAM Symposium. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-83334-2_24
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DOI: https://doi.org/10.1007/978-3-642-83334-2_24
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