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RESEARCH PAPERS

Frictionally Excited Thermoelastic Instabilities of Annular Plates Under Thermal Pre-Stress

[+] Author and Article Information
C. Krempaszky

Lehrstuhl für Werkstoffkunde und Werkstoffmechanik, Technische Universität München, Boltzmannstr. 15, 85747 Garching, Germany

H. Lippmann

Lehrstuhl für Werkstoffkunde und Werkstoffmechanik, Technische Universität München, Boltzmannstr. 15, 85747 Garching, Germanykrem@lam.mw.tum.de

The nomenclature is adapted to the present paper.

J. Tribol 127(4), 756-765 (Apr 05, 2005) (10 pages) doi:10.1115/1.2000980 History: Received June 08, 2004; Revised April 05, 2005

Based on Kirchhoff’s plate theory a model is developed to estimate the onset of thermoelastic instabilities (TEI) in axisymmetric sliding systems consisting of plate components such as automotive disk breaks or clutches. The thermoelastic feedback due to a symmetric, two-sided frictional contact is formulated in terms of a thermal curvature proportional to the lateral deflection. The model of the thermoelastic feedback is tested with the help of an analytical solution of the two-dimensional layer model of Lee and Barber. For axisymmetrically annular disks under frictionally excited TEI, pre-stressed in-plane the solution of the resulting eigenvalue problem is obtained numerically. Some results are discussed and compared to the literature.

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Copyright © 2005 by American Society of Mechanical Engineers
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Figures

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Figure 1

Frictional system

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Figure 2

Eigensolution (m=8)

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Figure 3

Deflection, w, resulting increments of pressure, p+, p−, heat fluxes, q+, q− and temperature distribution, ϑ

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Figure 4

Critical frictional feedback, χ and thermal load, τ in dependence of the foundation modulus, c for various wave numbers, m

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Figure 5

Influence of some system parameters on the critical load parameters

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Figure 6

Critical angular speeds

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Deformation modes

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Figure 8

Critical angular speeds

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Figure 9

Critical angular speeds, ω in dependence of the elastic foundation modulus, cB and the viscous foundation modulus, dB for various wave numbers, m

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Figure 10

Viscoelastic model

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Figure 11

Critical angular speeds, ω in dependence of the elastic parameter, c2∕c1 and the viscous parameter, d2∕c1

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Figure 12

Minimum critical dimensionless speeds in dependence of the ratio of thermal conductivities

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Figure 13

Infinite elastic strip and equivalent winkler foundation

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