Lund’s Elliptic Orbit Forced Response Analysis: The Keystone of Modern Rotating Machinery Analysis

[+] Author and Article Information
R. Gordon Kirk

Randolph Hall 0238, Virginia Tech, Blacksburg, VA 24061

J. Vib. Acoust 125(4), 455-461 (Oct 08, 2003) (7 pages) doi:10.1115/1.1605977 History: Received June 01, 2003; Online October 08, 2003
Copyright © 2003 by ASME
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The basic transfer elements and station nomenclature
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Lund presenting an invited Keynote Paper in 1988 explaining the dynamics of a lumped mass station including the support stiffness and gyroscopic terms
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Ellipse showing orientation angle, θ and semi-major, a semi-minor axis, b
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Graphical construction to find actual phase from an orbit with timing mark if the direction of whirl is known
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(a) Experimental results showing forward and backward whirl orbits; (b) Critical speed map for test rig showing predicted forward and backward modes
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Simulation of a turbocharger rotor to rotating imbalance excitation. The lower right hand corner shows orbits at the bearing locations plus a phase reference for the imbalance angular location.
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Major axis response to imbalance excitation versus rotor speed for a turbocharger




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