Features of interaction of a brake shoe with a wheelстатья
Статья опубликована в высокорейтинговом журнале
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Дата последнего поиска статьи во внешних источниках: 17 февраля 2021 г.
Аннотация:The applicability of the dry friction model to modeling of mechanical systems was questioned in the late 19th century. In the 20th century, several studies were devoted to some classical problems with dry friction, including the problem of contact between a brake shoe and a rotating wheel. An important methodological aspect in solving this problem was the modeling of the flexibility of the contact area.In this work, the classical problem of the contact of a shoe with a wheel is solved by basic methods of theoretical mechanics. In addition to the element with elastic and viscous properties, which simulates the compliance of material in the area of contact between the wheel and the brake shoe, an elastic force acts on the shoe from the side of the pusher pressing the shoe against the wheel. The equations of motion of the system are compiled, which are a dynamic system of variable structure. This required critical points to be identified for each structure element. Particular attention is paid to the interaction between the friction force and elastic forces. The solutions of the linearized and complete systems are discussed for the cases of small, critical, and supercritical friction. Numerical simulation of dynamic systems was carried out in order to identify the features of the behavior of the mechanical system.In the presence of damping, the existence of limit cycles for the linearized and complete equation of the shoe is shown, accompanying the "rattling" of the wheel with constant amplitude and frequency. The initial conditions leading to the damping of the shoe oscillations and the complete stop of the wheel are found.