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TECHNICAL PAPERS

Nonlinear Stochastic Drill-String Vibrations

[+] Author and Article Information
P. D. Spanos

Rice University, Department of Mechanical Engineering and Material Science, George R. Brown School of Engineering, 6100 Main Street, Houston, TX 77005-1892

A. M. Chevallier

Accenture Company, 49B NorthCote Road, London, SW111NJ, U.K.

N. P. Politis

Rice University, Department of Civil Engineering, George R. Brown School of Engineering, 6100 Main Street, Houston, TX 77005-1892

J. Vib. Acoust 124(4), 512-518 (Sep 20, 2002) (7 pages) doi:10.1115/1.1502669 History: Received October 01, 2001; Revised June 01, 2002; Online September 20, 2002
Copyright © 2002 by ASME
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References

Figures

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BHA finite element model for lateral behavior considering well borehole contact; translational and directional degrees of freedom
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Typical Roller Cone (RC) bit
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Typical Polycrystalline Diamond Compact (PDC) bit
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Excitation spectra; Roller Cone (RC) bit, and Polycrystalline Diamond Compact (PDC) bit
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Flowchart of the statistical linearization procedure using the spectral matrix solution approach
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Flowchart of the statistical linearization procedure using the covariance matrix solution approach
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Example problem technical data
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Normalized Variance of the bit lateral displacement versus normalized wall Hertzian stiffness; Polycrystalline Diamond Compact (PDC) bit
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Normalized Variance of the bit lateral displacement versus normalized wall Hertzian stiffness; Roller Cone (RC) bit

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