Autoregressive bispectrum characteristics of magneto-rheometer

Abstract

The operating principle of measuring rheological properties of magnetorheological(MR) fluid was expounded by means of a new rheometer with double driving discs rotating at the same speed in the opposite directions. The constitutive equation of MR fluid was established with theoretical analysis from experimental data. The conventional power spectrum approach was unable to detect the existence of quadratic phase coupling for dynamic rheological measurement. Bispectrum analysis is emerging as a new powerful technique in signal processing, which can describe nonlinear coupling, restrain Gaussian noise and reserve phase component. An autoregressive(AR) model of the third order cumulant, the bispectra and bispectral contours were utilized for analyzing the dynamic characteristics of the MR rheometer by merely using the sampled output torque signals when a zero mean non-Gaussian white noise interferes with the rotary disc system. The measurement and analysis process based on virtual instruments were automatically controlled by computer in this paper. The experimental and theoretical results show that rheological properties and dynamic characteristics of MR fluid can be measured with this double disc rheometer.