Abstract
It is shown that, for a non-linear oscillator responding to non-white random excitation, the energy envelope of the response can be modelled approximately as a one-dimensional Markov process. Using a self-consistent asymptotic analysis, for small damping, simple expressions for the drift and diffusion coefficients of this Markov process are derived: these involve Fourier coefficients derived from the solution for free, undamped oscillation. The theory is validated through comparisons with some digital simulation results.
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Roberts, J.B., Vasta, M. (2001). Response of Non-Linear Oscillators to Non-White Random Excitation Using an Energy Based Method. In: Narayanan, S., Iyengar, R.N. (eds) IUTAM Symposium on Nonlinearity and Stochastic Structural Dynamics. Solid Mechanics and its Applications, vol 85. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-0886-0_18
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DOI: https://doi.org/10.1007/978-94-010-0886-0_18
Publisher Name: Springer, Dordrecht
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