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Research Papers

Thermoelastic Coupling Vibration Characteristics of the Axially Moving Beam With Frictional Contact

[+] Author and Article Information
Guo Xu-Xia1

School of Sciences, Xi’an University of Technology, 710048 Xi’an, P.R.C.; Department of Mechanical and Electrical Engineering, Baoji University of Arts and Sciences, 721007 Baoji, P.R.C.gxx5432106@sina.com

Wang Zhong-Min

School of Sciences, Xi’an University of Technology, 710048 Xi’an, P.R.C.

1

Corresponding author.

J. Vib. Acoust 132(5), 051010 (Aug 26, 2010) (7 pages) doi:10.1115/1.4001513 History: Received September 20, 2009; Revised March 22, 2010; Published August 26, 2010; Online August 26, 2010

The thermoelastic coupling vibration characteristics of the axially moving beam with frictional contact are investigated. The piecewise differential equation of motion for the axially moving beam in the thermoelastic coupling case and the continuous conditions at the contact point are established. The eigenequation is derived by the differential quadrature method, and the first order dimensionless complex frequencies of the simply supported axially moving beam under the coupled thermoelastic case are calculated. The effects of the dimensionless thermoelastic coupling factor, the dimensionless moving speed, the spring stiffness, the friction coefficient, and the normal pressure on the thermoelastic coupling vibration characteristics of the axially moving beam with frictional contact are discussed.

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Copyright © 2010 by American Society of Mechanical Engineers
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Figures

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Figure 6

The first order dimensionless natural frequencies versus K for different ς (μ=0, F=200, and λ=0.1)

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Figure 7

The first order dimensionless natural frequencies versus μ for different ς (F=200, K=10, and λ=0.1)

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Figure 1

Axially moving beam with frictional contact in the temperature field. (a) The model of the beam with frictional contact. (b) Traverse and normal forces of the contact points.

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Figure 2

The first order dimensionless natural frequencies versus the dimensionless thermoelastic coupling factor λ(ς=0.5)

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Figure 3

The first order dimensionless complex frequencies versus the dimensionless axially moving speed for different K (ς=0.5, μ=0, F=200, and λ=0.1)

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Figure 4

The first order dimensionless complex frequencies versus the dimensionless axially moving speed for different μ (ς=0.5, F=200, K=10, and λ=0.1)

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Figure 5

The first order dimensionless complex frequencies versus the dimensionless axially moving speed for different F (ς=0.5, μ=0.3, K=5, and λ=0.1)

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Figure 8

The first order dimensionless natural frequencies versus ς (μ=0, F=200, c=1, and λ=0.1)

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Figure 9

The first order dimensionless natural frequencies versus ς (μ=0.5, F=200, c=1, and λ=0.1)

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Figure 10

The first order dimensionless critical speed versus K (ς=0.5 and λ=0.1)

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Figure 11

The first order dimensionless critical speed versus μ (ς=0.5 and λ=0.1)

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