Mathematical Model of a Sliding Couple Lubricated with Biolubricants | Matematický model klznej dvojice mazaný biomazivom
2012
Rédl, J., Slovak Univ. of Agriculture in Nitra (Slovak Republic). Faculty of Engineering, Department of Machine Design | Váliková, V. | Kročko, M.
In this paper, we deal with a mathematical analysis of the rotor - sliding bearing system which is lubricated with different types of biolubricants and with the stability simulation of a shaft motion in the sliding bearing. The stability of the rotating shaft was described with the system of differential equations and solved numerically. For simplifying the mathematical description we used the Sommerfeld number to define physical properties of each biolubricant used. To determine the Sommerfeld number we used technical parameters of the oils MOL Traktol NH Ultra and MOL Farm UTTO Synt. The loading cycle during simulation was determined in the range of 200-1000 N. The material of the shaft was hardened and tempered steel 12 050. The sliding bearing that we used was B30/38x30 STN 02 3496. We solved the trajectory and stability condition for each type of biolubricant and for the rotating shaft, too. Simulations were made at the temperature of 40-100 deg C. Properties of both examined biolubricants have almost the same influence on the stability of the shaft moving in the bearing. Stiffness and damping properties of both oils are comparable.
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