Predicting rotor´s stability using fractional Brownian motion and Hurst index

Author

Kai, Wang ; Zhiqin, Ding

Author_Institution

Sch. of Mech. & Instrum. Eng., Xi´´an Univ. of Technol., Xi´´an, China

fYear

2010

fDate

26-28 June 2010

Firstpage

3083

Lastpage

3085

Abstract

According properties of fractional Brownian motion, a precision rotor´s radial rotating error have been analyzed. The results indicate that rotor´s rotating motion is characterized by fractional Brownian motion, i.e. randomicity, nonsequencity, and self-simulation to some extents. Then fractal box counting dimension and Hurst index of radial rotating error have been calculated too. It can be deduced that the rotor´s error motion is of stability, it also means in current working condition the precision rotor is going to work stably.

Keywords

Brownian motion; error analysis; rotors; stability; Hurst index; fractal box counting dimension; fractional Brownian motion; precision rotor radial rotating error; rotors error motion; rotors stability; Brownian motion; Employee welfare; Error analysis; Fractals; Instruments; Mechanical factors; Power engineering and energy; Sampling methods; Stability analysis; Tracking; Hurst index; fractal box counting dimension; fractional Brownian motions; radial rotating error; variance;

fLanguage

English

Publisher

ieee

Conference_Titel

Mechanic Automation and Control Engineering (MACE), 2010 International Conference on

Conference_Location

Wuhan

Print_ISBN

978-1-4244-7737-1

Type

conf

DOI

10.1109/MACE.2010.5535337

Filename

5535337