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TECHNICAL PAPERS

Application of a Nonlinear Modal Instability Approach to Brake Systems

[+] Author and Article Information
Jean-Jacques Sinou, Fabrice Thouverez, Louis Jezequel

Laboratoire de Tribologie et Dynamique des Systèmes, Equipe Dynamique des Structures et des Systèmes, Ecole Centrale de Lyon, 69134 Ecully Cedex, France

J. Vib. Acoust 126(1), 101-107 (Feb 26, 2004) (7 pages) doi:10.1115/1.1596555 History: Received July 01, 2002; Revised January 01, 2003; Online February 26, 2004
Copyright © 2004 by ASME
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References

Figures

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Dynamic model of braking system
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Coupling of two eigenvalues
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Evolution of the real part of two coupling modes
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Stability analysis as a function of the brake friction coefficient and the sprag-slip angle
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Stability analysis as a function of the brake friction coefficient and the stiffness k11
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Stability analysis as a function of the stiffness k11 and the sprag-slip angle
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Stability analysis as a function of the braking force Fbrake and the stiffness k11
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Stability analysis as a function of the mass m1 and the stiffness k11
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Stability analysis as a function of the braking force Fbrake and the stiffness k12
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Evolution of the real part of the unstable eigenvalue
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Evolution of the imaginary part of the unstable eigenvalue
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X-limit cycle for μ̄=μ0/100
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Y-limit cycle for μ̄=μ0/100
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X-limit cycle μ̄=μ0/100 as a function of angle θ
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Y-limit cycle μ̄=μ0/100 as a function of angle θ

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