Dynamic Prediction of Rolling Bearing Friction Torque Using Lyapunov Exponent Method

Xin Tao Xia; Tao Mei Lv

doi:10.4028/www.scientific.net/AMM.44-47.1120

Paper Titles

A Linear-Encoder-Based Displacement Sensing Approach for Cost-Sensitive Applications
p.1095

Hydraulic Model Experimental Study on Coherent Jet Flow Field
p.1099

Fault Diagnosis to Mid-Size Excavator Hydraulic System Based on Fault Tree Analysis
p.1110

Information Entropy of Rolling Bearing Friction Torque as Data Series
p.1115

Dynamic Prediction of Rolling Bearing Friction Torque Using Lyapunov Exponent Method
p.1120

Uncertainty of Rolling Bearing Friction Torque as Data Series Using Grey Bootstrap Method
p.1125

Feature Selection Method for Hydraulic System Faults Diagnosis Based on GA-PLS
p.1130

Multidisciplinary Robust Optimization Design of Multi-Functional Open-Air Hydraulic Drill
p.1135

Design of Guide Rail in a Multi-Functional Open-Air Hydraulic Drill
p.1141

HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 44-47Dynamic Prediction of Rolling Bearing Friction...

Dynamic Prediction of Rolling Bearing Friction Torque Using Lyapunov Exponent Method

Abstract:

Based on the chaos theory, the Lyapunov exponent method is employed to predict dynamically the time series of the rolling bearing friction torque. First, the embedding dimension and the delay time for the phase space reconstruction are estimated with the Cao method and the mutual information method, respectively. Second, the maximum of the Lyapunov exponents is calculated by small data sets. Lastly, the nearest neighboring point is sought via the Euclidean distance. The experimental investigation shows that the method proposed in this paper is able to forecast effectively the rolling bearing friction torque as a time series, only with very small predicted error.