African Journal of
Agricultural Research

  • Abbreviation: Afr. J. Agric. Res.
  • Language: English
  • ISSN: 1991-637X
  • DOI: 10.5897/AJAR
  • Start Year: 2006
  • Published Articles: 6576

Full Length Research Paper

Differential equation model for durability of the tractor's engine with application to the model Massey Ferguson 8160

Kurt W. Tomantschger1, Dragan V. Petrović2, Zoran Ä. Golubović3* and Zoran I. Mileusnić2
1Faculty of Technical Mathematics and Technical Physics, TU Graz, Graz, Austria. 2Faculty of Agriculture, University of Belgrade, Belgrade-Zemun, Serbia. 3Faculty of Mechanical Engineering, University of Belgrade, Belgrade, Serbia.
Email: [email protected]

  •  Accepted: 02 August 2011
  •  Published: 12 September 2011

Abstract

A novel mathematical model for the tractor engine durability, based on the appropriate differential equation and conditions, is formulated and presented in this paper. Its practical applicability is experimentally verified for the tractor type Massey-Ferguson 8160. The probability density function of the engine’s lifespan, as long as the overhaul is needed, is established and approximated by normal Gaussian function. Fitting coefficients are evaluated through the non-linear fitting of empirical data by Levenberg-Marquardt numerical algorithm.

 

Key words: Mathematical model, partial differential equation, tractor, engine lifespan distribution, non-linear fitting.