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Technical Briefs

A Short Note on Transverse Vibrations of a Shaft Carrying Two (or One) Disk Excited by a Nonideal Motor

[+] Author and Article Information
J. L. Felix

 DEMAC-IGCE-UNESP-Rio Claro, Sao Paulo, Braziljorgelpfelix@yahoo.com.br

J. M. Balthazar

 DEMAC-IGCE-UNESP-Rio Claro, Sao Paulo, Braziljmbaltha@rc.unesp.br

R. M. Brasil

 Polytechnic School of the University of Sao Paulo, Sao Paulo, Brazilreyolando.brasil@poli.usp.br

J. Comput. Nonlinear Dynam 4(1), 014501 (Dec 16, 2008) (6 pages) doi:10.1115/1.3007979 History: Received August 19, 2007; Revised June 10, 2008; Published December 16, 2008

The paper presents a number of numerical simulations of the transverse vibrations of two (or one) unbalanced rotors forced by an electric motor, with limited power supply, during the passage through of the two resonance zones (increasing and decreasing input voltages). The predominant presence of the Sommerfeld effect, when the rotational velocity of the motor is captured, in the second resonance frequency is demonstrated. We have shown that the hysteretic jump phenomenon exists in a rotor system with two (or one) disks, and with this, we have shown that a torque is influenced by the dynamical behavior of the rotor.

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Copyright © 2009 by American Society of Mechanical Engineers
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Figures

Grahic Jump Location
Figure 1

A nonideal shaft carrying two disks (5)

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Figure 2

Coordinate system of the nonideal rotors

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Figure 3

Response of (a) dc motor: (point line) decreasing voltage, (circle line) increasing voltage; (b) first rotor amplitude; and (c) second rotor amplitude

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Figure 4

(a) Rotational velocity is captured in the resonance second, and (b) rotors displacements

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Figure 5

(a) Rotational velocity with quasistatic passage in the resonance second in short time, and (b) rotors displacement response

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Figure 6

The graph of L(Ω) and S(Ω)

Grahic Jump Location
Figure 7

Response of (a) rotational velocity: (point line) decreasing voltage, (circle line) increasing voltage; and (b) rotor amplitude

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