Nonlinear Parameter Estimation in Rotor-Bearing System Using Volterra Series and Method of Harmonic Probing

[+] Author and Article Information
Animesh Chatterjee

Department of Mechanical Engineering, Visvesvaraya National Institute of Technology, Nagpur, India-440011e-mail: animeshch@rediffmail.com

Nalinaksh S. Vyas

Department of Mechanical Engineering, Indian Institute of Technology, Kanpur, India-208016e-mail: vyas@iitk.ac.in

J. Vib. Acoust 125(3), 299-306 (Jun 18, 2003) (8 pages) doi:10.1115/1.1547486 History: Received May 01, 2002; Revised October 01, 2002; Online June 18, 2003
Copyright © 2003 by ASME
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(a) Experimental set up along with instrumentation (b) Close up view of exciter mounting arrangement and impedance head
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Schematic diagram of rotor bearing test rig and instrumentation
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Response acceleration spectrum from rap test
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Acceleration response spectra for Case I: Excitation amplitude=4 N
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(a) Iterative estimates of k3, (Case I: Excitation amplitude=4 N) (b) Final estimate of first order kernel transform, H1(ω) (Case I: Excitation amplitude=4 N)
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(a) Iterative estimates of k3, (Case II: Excitation amplitude=3 N) (b) Iterative estimates of k3, (Case III: Excitation amplitude=2 N)
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Variation in sign of real part of X(3ω) around ωn/3
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Schematic diagram of a loaded ball bearing
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Comparison of estimates of stiffness parameters 1–5: Theoretical values with pre-load 0.2, 0.3, 0.4, 0.5 and 0.6 μm respectively. [Harris 8 and Ragulski et al. 9 6,7,8: Present experimental estimates for cases I, II and III respectively. 9: Experimental estimate of Tiwari 16 10: Experimental estimate of Khan 13
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(a) Typical response spectrum with excitation at ω=330 Hz (b) Measurability of third response harmonic at different excitation levels
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Response component spectra for ω=330 Hz
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Excitation level variation, response amplitude, X(ω), and preliminary estimate of H1(ω)




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