Differential equation model for durability of the tractor's engine with application to the model Massey Ferguson 8160
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.
Keywords:
Mathematical model / partial differential equation / tractor / engine lifespan distribution / non-linear fittingSource:
African Journal of Agricultural Research, 2011, 6, 18, 4385-4391Funding / projects:
- The Improvement and Preservation of Biotechnology Procedures for Rational Energy Use and Improvement of Agricultural Production Quality (RS-MESTD-Technological Development (TD or TR)-31051)
- Dynamic stability and instability of mechanical systems subjected to stochastic excitations (RS-MESTD-Basic Research (BR or ON)-174011)
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Institution/Community
Poljoprivredni fakultetTY - JOUR AU - Tomantschger, Kurt AU - Petrović, Dragan AU - Golubović, Zoran D. AU - Mileusnić, Zoran PY - 2011 UR - http://aspace.agrif.bg.ac.rs/handle/123456789/2434 AB - 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. T2 - African Journal of Agricultural Research T1 - Differential equation model for durability of the tractor's engine with application to the model Massey Ferguson 8160 EP - 4391 IS - 18 SP - 4385 VL - 6 UR - https://hdl.handle.net/21.15107/rcub_agrospace_2434 ER -
@article{ author = "Tomantschger, Kurt and Petrović, Dragan and Golubović, Zoran D. and Mileusnić, Zoran", year = "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.", journal = "African Journal of Agricultural Research", title = "Differential equation model for durability of the tractor's engine with application to the model Massey Ferguson 8160", pages = "4391-4385", number = "18", volume = "6", url = "https://hdl.handle.net/21.15107/rcub_agrospace_2434" }
Tomantschger, K., Petrović, D., Golubović, Z. D.,& Mileusnić, Z.. (2011). Differential equation model for durability of the tractor's engine with application to the model Massey Ferguson 8160. in African Journal of Agricultural Research, 6(18), 4385-4391. https://hdl.handle.net/21.15107/rcub_agrospace_2434
Tomantschger K, Petrović D, Golubović ZD, Mileusnić Z. Differential equation model for durability of the tractor's engine with application to the model Massey Ferguson 8160. in African Journal of Agricultural Research. 2011;6(18):4385-4391. https://hdl.handle.net/21.15107/rcub_agrospace_2434 .
Tomantschger, Kurt, Petrović, Dragan, Golubović, Zoran D., Mileusnić, Zoran, "Differential equation model for durability of the tractor's engine with application to the model Massey Ferguson 8160" in African Journal of Agricultural Research, 6, no. 18 (2011):4385-4391, https://hdl.handle.net/21.15107/rcub_agrospace_2434 .