Higher order spectral analysis in a continuously differentiable dumping model subjected to random excitation

Abstract

In the previous report, we propose modeling focusing on "sigmoid function" as an attenuation model combining viscous damping and Coulomb friction characteristics, and conduct numerical simulation on higher-order spectra (HOS) analysis and higher-order frequency response analysis in that model was carried out. In order to further model various characteristics, we focused on "continuously differentiable friction model" proposed by Makkar et al. Numerical simulation analysis on higher order spectra(HOS) such as tri-spectrum was performed in these attenuation models. Effectiveness of the proposed method is presented and examined. These are the main points of this research.