Analysis of motion of the impact-dry-friction pair of bodies and its application to the investigation of the impact dampers dynamics

摘要

The motion with impacts and dry friction forces appears in some mechanical systems as mechanisms with clearances, (e.g., in gearings, pins, slots, guides, valve gears etc.). impact dampers, relays, forming and mailing machines, power pics etc. Such mechanisms include one or more pairs of impacting bodies, which introduce the strong nonlinearity into the system motion. The motion of the general pair of bodies with the both-ssides impacts and dry friction forces is assumed (Fig.1). It can be the part of a more complex chain of masses in the mechanical system. Dead zones in the relative motion of bodies can be caused by assumed nonlinearities. The mathematical conditions controlling the numerical simulations or analytical solution of the motion are introduced. The appliction of this method is explained by the study of the inluence of dry friction force on amplitude-frequency characteristics of four types of dynamical and impact dampers with optimised parameters.