Mathematical Model of Uniform Cereal Crops Seeding Using a Double-Disk Coulter

Abstract

The paper provided presents a new design of two-disk wide-row coulter that ensures uniform distribution of seeds to an even bed at the furrow bottom, as well as preserving of optimal distances between the seeds. Seeds fall from the seed tube of coil sowing apparatus onto a metal distribution plate with staggeringly arranged metal pins, which distribute the seeds to furrow bottom surface in a form of separate strips. To substantiate the kinematic and constructive parameters of proposed coulter design, a mathematical model for transport of seeds along the surface of a distribution plate was developed and the Cauchy problem for a system of the second-order quasi-linear differential equations was solved by the finite difference methods using embedded software procedures in mathematical software packages (Mathcad, Maple, etc.). The finite-difference method implementation was carried out using computer software allowing the determination of coordinates of seeds and, if necessary, changing of direction of their movement by adjusting the coulter operation to improve the distribution of seeds to soil in order to reduce the injury to them, which ultimately can contribute to an increased yield. Coverage of the plate surface and distribution pins with a rubber material can also contribute to a significant reduction in seed injury during sowing.

Keywords

• sowing
• seeding uniformity
• differential equations
• finite difference methods