<p>The article examines the trajectories of a deforming element rotating around a remote axis, as well as the grooves it forms under various combinations of formative motions. Since the groove area is a critical parameter that defines the surface’s performance properties, equations for determining the area of microrelief grooves formed by a rotational method have been derived. The groove shape in the form of a trochoid and its exceptional cases, namely, elongated cycloids, cycloids, and shortened cycloids, have been taken into consideration. The groove areas were calculated using the mean-value and trapezoidal methods. In addition, the accuracy of each method was assessed to determine the optimal one for future calculations. The graphs of dependencies were plotted, demonstrating the influence of various geometric parameters on changes in the groove area of the microrelief. The paper also explores a combination of formation modes in which the displacement distance of the tool’s center is significantly less than the length of the notional circle along which the deforming tool rotates. In this case, microrelief grooves with a high degree of overlap are formed, which may be necessary to reduce surface roughness parameters and increase microhardness.</p>

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Determination of the groove area of partially regular microrelief formed by a rotational method

  • Halyna Kozbur,
  • Volodymyr Dzyura,
  • Pavlo Maruschak,
  • Ihor Zinchenko

摘要

The article examines the trajectories of a deforming element rotating around a remote axis, as well as the grooves it forms under various combinations of formative motions. Since the groove area is a critical parameter that defines the surface’s performance properties, equations for determining the area of microrelief grooves formed by a rotational method have been derived. The groove shape in the form of a trochoid and its exceptional cases, namely, elongated cycloids, cycloids, and shortened cycloids, have been taken into consideration. The groove areas were calculated using the mean-value and trapezoidal methods. In addition, the accuracy of each method was assessed to determine the optimal one for future calculations. The graphs of dependencies were plotted, demonstrating the influence of various geometric parameters on changes in the groove area of the microrelief. The paper also explores a combination of formation modes in which the displacement distance of the tool’s center is significantly less than the length of the notional circle along which the deforming tool rotates. In this case, microrelief grooves with a high degree of overlap are formed, which may be necessary to reduce surface roughness parameters and increase microhardness.