A Dynamical Systems Approach to Damage Evolution Tracking, Part 1: Description and Experimental Application
Author:
Chelidze David1, Cusumano Joseph P.2, Chatterjee Anindya3
Affiliation:
1. Department of Mechanical Engineering & Applied Mechanics, University of Rhode Island, Kingston, RI 02881 2. Department of Engineering, Science & Mechanics, Pennsylvania State University, University Park, PA 16802 3. Department of Mechanical Engineering, Indian Institute of Science, Bangalore, 560012, India
Abstract
Abstract
In this two-part paper we present a novel method for tracking a slowly evolving hidden damage process responsible for nonstationarity in a fast dynamical system. The development of the method and its application to an electromechanical experiment is the core of Part 1. In Part 2, a mathematical model of the experimental system is developed and used to validate the experimental results. In addition, an analytical connection is established between the tracking method and the physics of the system based on the idea of averaging and the slow flow equations for the hidden process. The tracking method developed in this study uses a nonlinear, two-time-scale modeling strategy based on the delay reconstruction of a system’s phase space. The method treats damage-induced nonstationarity as evolving in a hierarchical dynamical system containing a fast, directly observable subsystem coupled to a slow, hidden subsystem. The utility of the method is demonstrated by tracking battery discharge in a vibrating beam system with a battery-powered electromagnetic restoring force. Applications to systems with evolving material damage are also discussed.
Publisher
ASME International
Subject
General Engineering
Reference35 articles.
1. Qu,
L.,
Xie,
A., and
Li,
X.,
1993, “Study and Performance Evaluation of Some
Nonlinear Diagnostic Methods for Large Rotating Machinery,”
Mech. Mach. Theory, 28(5),
pp. 699–713. 2. Ma, J., and Li, C. J., 1995, “On Gear Localized Defect Detection by
Demodulation of Vibrations—A Comparison Study,” E. Kannatey-Asibu, J., ed.,
Proc. of Symp. on Mechatronics for Manufacturing in ASME
International Mechanical Engineering Congress and Exposition,
MED-2-1, pp. 565–576. 3. McFadden, P.
D., and
Smith, J.
D., 1985,
“A Signal Processing Technique for Detecting Local Defects in
a Gear From the Signal Averaging of Vibration,”
Proc. Inst. Mech. Eng., Part C: Mech. Eng. Sci.,
199(c4),
ImechE-1985ImechE-1985. 4. Robert, T. S., and Lawrence, J. M., 1986, “Detection, Diagnosis and
Prognosis of Rotating Machinery,” Proc. of the 41st Meeting of the Mech.
Failures Prevention Group, Naval Air Test Center, Patuxent River,
Maryland. 5. McFadden, P.
D., and
Wang, W.
J., 1993,
“Early Detection of Gear Failure by Vibration Analysis–I.
Calculation of the Time-Frequency Distribution,”
Mech. Syst. Signal Process.,
37(3), pp.
193–201.
Cited by
76 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献
|
|