DOI: https://doi.org/10.32515/2414-3820.2019.49.194-200

Dynamic Analysis of the Traditional Tail End of the Honing Head

Mykhailo Pidhaietskyii, Kyryl Shcherbyna, Mazhara Vitalii, Tetiyna Dyachenko

About the Authors

Mykhailo Pidhaietskyii, Associate Professor, PhD in Technics (Candidate of Technics Sciences), Central Ukraіnian National Technical University, Kropyvnytskyi, Ukraine

Kyryl Shcherbyna, PhD in Technics (Candidate of Technics Sciences), Central Ukraіnian National Technical University, Kropyvnytskyi, Ukraine

Mazhara Vitalii, Associate Professor, PhD in Technics (Candidate of Technics Sciences), Central Ukraіnian National Technical University, Kropyvnytskyi, Ukraine

Tetiyna Dyachenko, Lecturer, Kropyvnytskyi engineering College of Central Ukrainian National Technical University, Kropyvnytskyi, Ukraine

Abstract

The purpose of the article is to study the operation of the tail end of the traditional honing head in the conditions of transient mode in the zone of small motions. The expediency of the study is related to the unstable operation of the tail end in the form of a wedge kinematic pair under the conditions of transition, taking into account the action of friction forces. At low velocities of slip of the tail ends of the wedge kinematic pair (below the critical value) there is a sharply defined uneven motion, which has a stick-slip nature with periodic jumps and stops. The analysis of the operation of the traditional tail end in the form of a wedge kinematic pair in statics with obtaining mathematical models of transfer functions taking into account the action of friction forces was carried out. In order to identify the influence of friction forces in the zone of small motions at low sliding speeds, the analysis was made in the dynamics in the zone of transition. Dynamic analysis was performed on the basis of the theory of automatic control with the construction of the required dynamic characteristics. On the basis of the performed dynamic analysis, mathematical models of the transfer function of the wedge kinematic pair in the dynamics were obtained taking into account the action of kinetic forces of friction. Based on the obtained models, a transient characteristic of the process of the wedge kinematic pair was constructed, as well as logarithmically amplitude-frequency characteristics and logarithmic phase-frequency characteristics were constructed. The transition function of a wedge kinematic pair does not reach its constant value immediately, but according to the aperiodic law. Thus, the tail end reflects the inertia of the process under study and is therefore sometimes called inertial, which leads to the formation of a stick-slip motion, which impairs its accuracy of radial size regulation. The reason is the presence of static and kinetic friction with nonlinear characteristic in the zone of small motions.

Keywords

honing head, wedge kinematic pair, radial size adjustment system, honing holes, transient characteristic, small motions zone

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