213 Non-Gaussian Response Characteristics of a Non-symmetric Nonlinear System Subjected to Non-White Excitation : Continued Report, Relationships between Skewness and Kurtosis, and Equivalent Linear Coefficients

Abstract

The non-Gaussian response characteristics of a non-symmetric nonlinear 1-DOF system subjected to non-white excitation are investigated. Applying a previously-developed method, which contains the Non-Gaussian equivalent linearization technique and the use of the moment equations approach, the stationary response is calculated. Using kurtosis and skewness as indicator of the non-Gaussianity, the non-Gaussian response characteristics are quantitatively evaluated. The relationships between a couple of equivalent linear coefficients are also illustrated. The numerical results show the effects of the non-symmetric properties of the system and the dominant frequencies of excitation upon the non-Gaussian response characteristics.