Agriculturae Conspectus Scientificus, Vol 77, No 3 (2012)

A Mathematical Model and Numerical Simulation of the Static Stability of a Tractor



Tractor overturning remains a serious problem in agricultural activities. A detailed analysis of problems and causes leading to a tractor overturn have revealed that by improving tractor’s static stability we can positively influence the safety as early as during the concept phase. We designed a mathematical model and a numerical simulation of the static stability of a tractor with an oscillating front axle in relation to its position on a slope. It was followed by analysing the changes of individual parameters, such as the position of the centre of gravity, the wheelbase, the wheel track width and the height of the oscillating axle mounting point, and their impact on tractor’s static stability in relation to its position on a slope. Results show that manipulating these parameters can significantly increase tractor’s static stability. A better static stability is directly proportional to improved dynamic stability, resulting in a better safety in a view of the tractor overturn, particularly while working on a sloping terrain.


static stability; tractor; slope; analysis; mathematical model; simulation

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