Abstract
To study the effects of the elastic-damping mechanism parameters on tractor functions, a numerical simulation of the problem is of great necessity. We consider extremely important to improve the present numerical simulations, to find optimal parameters of the experimental mechanism and to apply more precise algorithms and new research methods. There have been given the results of the numerical and natural experiments (on the example of an arable machine). According to the study results we can conclude that the developed simulation of a random process can be applied to study the machine movement and the effect of external load on it.
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Abbreviations
- \( J_{1} ,J_{im} ,J_{v} ,J_{3} ,m_{a} \) :
-
are the inertia moment of an engine; the inertia moment of an oil pump drive from the central gear; the inertia moment of a carrier; the inertia moment of a wheel and parts of the tire adjacent to a wheel; the inertia moment of a deformable tire tread in contact with the support base; the inertia moment of a tractor to the center of weight; the inertia moment of a translational weight of a machine-tractor unit;
- \( \omega_{1} ,\omega_{2} ,\omega_{k} ,\omega_{s} ,\omega_{v} ,\omega_{3} \) :
-
are the angular velocity of the engine crankshaft; the angular velocity of a transmission input shaft; the angular velocity of a wheel and parts of the tire adjacent to a wheel; the angular velocity of a tire tread in contact with the support base;
- \( c_{tr} ,\alpha_{tr} ,c_{\lambda } ,c_{p} ,\alpha_{p} ,c_{k} \) :
-
are the coefficient of stiffness of the transmission, brought to the driven shaft of the clutch wheel gear; the coefficient of viscous friction of the transmission, brought to the driven shaft of the clutch wheel gear; the coefficient of tire stiffness; the coefficient of viscous tire friction; the coefficient of stiffness of the regulator spring, brought to the clutch wheel gear; the coefficient of viscous friction of the regulator spring, brought to the clutch wheel gear;
- M 1 , M fr , M tr :
-
are the torque effect of an engine; the torque effect of friction of a clutch wheel gear; the torque effect of dry friction of a power train;
- y :
-
is a regulator clutch movement
- a i :
-
is an equation coefficient of an engine;
- F(γ) :
-
is a force of regulator spring tightening;
- F k0 :
-
is an initial force of corrector spring tightening;
- i tr :
-
is a power train transmission ratio;
- P h :
-
is oil pressure in the pressure line to the throttle;
- h 0 :
-
is a complete piston stroke in the hydropneumatic accumulator;
- rs, rc:
-
are radii of a central gear and satellites;
- V h :
-
is a volume of an oil pump;
- k pod :
-
is a coefficient of an oil pump feed;
- \( r_{0}^{c} \) :
-
is a free rolling radius of a drive wheel non-deformed in the radial and longitudinal directions;
- ξ 2 :
-
are deformation coefficients of tire thread;
- δ :
-
is tractor skidding;
- m a :
-
is a machine-tractor unit weight;
- T(λ) :
-
is power of a tire print;
- λ :
-
is a longitudinal tire deformation;
- P kp :
-
is a mathematical calculation of traction resistance at V_0 = 0 m/c;
- ∆P kp :
-
is a rate of traction resistance increase;
- k tc :
-
is an experimental coefficient of traction resistance increase
- R 2 :
-
is a vertical load;
- φ 0 , φ :
-
are friction coefficients of tires and a clutch wheel gear;
- V cx :
-
is speed of a MTU;
- Pkp (t):
-
is a function of a random nature that characterizes oscillations of traction resistance fluctuations.
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Acknowledgements
The team of authors expresses recognition for the organization of the Conference ICO’2018, October 4–5, 2018, Hard Rock Hotel, Pattaya, Thailand, and personally Dr. Pandian Vasant, Prof. Dr. Igor Litvinchev, Prof. Dr. Gerhard-Wilhelm Weber, Prof. Dr. Gilberto Perez Lechuga. The authors are grateful to anonymous referees for their helpful comments.
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Senkevich, S., Duryagina, V., Kravchenko, V., Gamolina, I., Pavkin, D. (2020). Improvement of the Numerical Simulation of the Machine-Tractor Unit Functioning with an Elastic-Damping Mechanism in the Tractor Transmission of a Small Class of Traction (14 kN). In: Vasant, P., Zelinka, I., Weber, GW. (eds) Intelligent Computing and Optimization. ICO 2019. Advances in Intelligent Systems and Computing, vol 1072. Springer, Cham. https://doi.org/10.1007/978-3-030-33585-4_20
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