Abstract
The response of a revolute joint in a four-bar mechanism with a clearance is investigated. Motion of a rocker-arm pin at the ground connection is modelled using a Lagrangian approach. When the resulting equations of motion are solved numerically, they show non-linear dependence on both the size of the clearance and the coefficient of friction between the pin and bearing. The results, given in terms of pin trajectories and Poincare maps, show that the motion of the pin can range from simple periodic to periodic motions with periods that are multiples of the crank revolution, and in some cases pin motion becomes chaotic. It is of note that at moderately high values of coefficient of friction, the pin response is simple periodic, with a period same as that of the crank rotation.
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