Abstract

The process of motion transmission in mechanisms consisting of two links connected by straight stems is considered. The Zener phenomelogic model was used, where the phenomena of relaxation and retardation are taken into account. It is shown that the elastic properties of a substance should be considered as a complex function. A new system of differential equations is presented, which explicitly describes the oscillations of the speeds of movement and stresses in the body. It is shown that the new method allows to take into account the degree of distribution of the parameters of force lines, and for short lines it makes it possible to describe the dynamics with simple expressions.

Highlights

  • Any simplest mechanisms for transferring motion can generally be represented as input and output links interconnected by a force line

  • When motion is transmitted from the input link to the output link, longitudinal or torsional oscillations occur in the mechanism, which lead to a deviation from the specified law of motion

  • On the issue of motion transmission in mechanical systems, there are a number of Maxwell, Voigt, Zener phenomelogical models

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Summary

Introduction

Any simplest mechanisms for transferring motion (translational or rotational) can generally be represented as input and output links interconnected by a force line. To study the dynamic characteristics in the mechanisms of transfer of translational and rotational motion, as models we take a rod, at the end of which a disk or mass is attached (Fig. 1). METHOD FOR THE STUDY OF DYNAMIC CHARACTERISTICS IN THE MECHANISMS OF MOTION TRANSMISSION.

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