Title:
Surface Design of a Toothed Soil-engaging Element for Soil Tillage

Authors:
Zoia Shanina, Andrii Zasovenko, Tetiana Sliusarova, Olena Syvachuk, Ukraine

Abstract:

A mathematical model has been proposed, which, under certain conditions, will enable the development of a toothed element with a working surface shape that satisfies the agrotechnical, technological, and economic parameters during soil cultivation.

The working element is made as a block of teeth. The tooth recesses and protrusions in the horizontal plane are shaped according to alogarithmic spiral, with the protrusions forming a fourth-degree parabola.

The toothed element equation is presented in the form of a combination of rotation, displacement, and compression matrices.

The working surface is defined kinematically as the trajectory of points of the generating logarithmic spiral.

Equations are derived describing the surface of the working element at the areas of tooth recesses and protrusions.

DOI: http://dx.doi.org/10.51505/ijaemr.2026.11201