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

作者：Tomantschger Kurt W; Petrovic Dragan V; Golubovic Zoran D^*; Mileusnic Zoran I

来源：African Journal of Agricultural Research, 2011, 6(18): 4385-4391.

• Mathematical model
• partial differential equation
• tractor
• engine lifespan distribution
• non-linear fitting

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.

• 出版日期2011-9-12