A mathematical model of the rear-trailed top harvester and an evaluation of its motion stability
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Kuupäev
2022
Kättesaadav alates
Ajakirja pealkiri
Ajakirja ISSN
Köite pealkiri
Kirjastaja
Estonian University of Life Sciences
Abstrakt
Improving the quality of sugar beet harvesting to a great extent depends on the first
operation in the process, which involves cutting and harvesting sugar beet tops. This
technological process is performed with the use of either the haulm harvesting modules of beet
harvesters or top harvesting machines as separate agricultural implements, which are aggregated
with a tractor. At the same time, front-mounted harvesters are as widely used as trailed
asymmetric implements, in which case the aggregating tractor moves on the already harvested
area of the field. The purpose of this work is to determine the optimal design and kinematic
parameters that would improve the stability in the performance of the technological process of
harvesting sugar beet tops by means of developing the basic theory of the plane-parallel motion
performed by the rear-trailed asymmetric top harvester. As a result of the analytical study, an
equivalent scheme has been composed, on the basis of which a new computational mathematical
model has been developed for the plane-parallel motion of the asymmetric top harvester in the
horizontal plane on the assumption that the connection between the wheeled tractor and the
rear-trailed top harvester is made in the form of a cylindrical hinge joint. Using the results of
mathematical modelling, the system of linear second-order differential equations that determines
the transverse movement of the centre of mass of the aggregating wheeled tractor and the rotation
of its longitudinal symmetry axis by a certain angle about the said centre of mass as well as the
angle of deviation of the rear-trailed asymmetric top harvester from the longitudinal symmetry
axis of the tractor at an arbitrary instant of time has been obtained. The solving of the obtained
system of differential equations provides for determining the stability and controllability of the
motion performed by the asymmetric machine-tractor unit, when it performs the technological
process of harvesting sugar beet tops.
Kirjeldus
Received: October 7th, 2021 ; Accepted: December 10th, 2021 ; Published: December 10th, 2021 ; Correspondence: jyri.olt@emu.ee
Märksõnad
harvesting machine, plane-parallel motion, stability of movement, sugar beet tops, articles