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On Instability of a Brake Shoe
並列摘要
Equilibrium of brake shoe contacting with a moving body in two different points is considered. Brake shoe is pressed to body by direction that is perpendicular to the body velocity. Compliance of shoe is modelled in points of contacts by means of massless elastic springs. The friction force is determined by Coulomb's law. A nonlinear problem statement is proposed. Stability in the first approximation of equilibrium of the brake shoe is considered. Basing on the assumption that the brake shoe shows different stiffness in points of contact, it is shown that there exist ranges of mechanical parameters by which the equilibrium of the brake shoe is unstable. Disturbed motion may be of the form of self-excited oscillations with growing amplitude.
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