RESEARCH PAPER
Calculations of the optimal distribution of brake force in agricultural vehicles categories R3 and R4
1
Bialystok University of Technology Faculty of Mechanical Engineering ul. Wiejska 45C, 15-351 Białystok, Poland
Publication date: 2019-12-31
Eksploatacja i Niezawodność – Maintenance and Reliability 2019;21(4):645-653
KEYWORDS
ABSTRACT
Fulfilling the requirements of the EU Directive 2015/68 in the area of braking for agricultural trailers depends on the proper
selection of individual components of the braking system. This paper describes the requirements regarding braking performance
and distribution of brake forces in agricultural trailers in R3 and R4 categories. On this basis, a methodology for calculating
the optimal linear distribution of brake forces, characteristic for agricultural trailers with pneumatic braking systems, has been
developed. The examples of calculation of an optimal distribution of brake forces for a two- and three-axle trailer with a tandem
suspension system of the rear axle assembly have been provided. The optimization algorithm with the Monte Carlo method has
been described, based on which a computer program was developed to select a linear distribution of brake forces in a three-axle
trailer with ‘walking beam’ and ‘bogie’ suspensions. The presented calculations can be used in the design process to select the
parameters of wheel braking mechanisms and then the characteristics of the pneumatic valves of the braking system.
REFERENCES (28)
2.
Commission Delegated Regulation (EU) 2015/68 supplementing Regulation (EU) No 167/2013 of the European Parliament and of the Council with regard to vehicle braking requirements for the approval of agricultural and forestry vehicles, October 2014.
3.
Dimov I T, Sean McKee S. Monte Carlo Methods for Applied Scientists. World Scientific Press, 2004.
4.
Forrer P. Brake systems in agricultural and forestry vehicles, http://www.paul-forrer.ch (accessed 07 May 2019).
5.
Glišović J, Lukić J, Vanja Šušteršič V, Ćatić D. Development of tractors and trailers in accordance with the requirements of legal regulations. In: 9th International Quality Conference, Center for Quality, Faculty of Engineering, University of Kragujevac, June 2015, paper no. 3504: 193-201.
6.
Gredeskul A B. O normativach effektivnosti tormoženija avtomobilej. Avtomobilnaja promyšlennost 1963; 6: 14-16, https://doi.org/10.1088/0031-9....
7.
Gredeskul A B, Fedosov V M, Skutnev V M. Opredelenie parametrov tormoznoj sistemy s regulatorom tormoznych sil. Avtomobilnaja promyšlennost 1975; 6: 24-26.
9.
Kamiński Z. Distribution of braking forces in two-axle agricultural trailers. Teka Kom. Mot. Energ. Roln. 2005; 5: 80-86.
10.
Kaminski Z, Miatluk M. Brake systems of road vehicles. Calculations. Bialystok: Wydawnictwo Politechniki Bialostockiej, 2005.
11.
Kamiński Z. Simulation and experimental testing of the pneumatic brake systems of agricultural vehicles. Bialystok: Oficyna Wydawnicza Politechniki Białostockiej, 2012.
12.
Kamiński Z, Kulikowski K. Determination of the functional and service characteristics of the pneumatic system of an agricultural tractor with mechanical brakes using simulation methods. Eksploatacja i Niezawodnosc - Maintenance and Reliability 2015; 17(3): 355-364, https://doi.org/10.17531/ein.2....
13.
Kamiński Z. Mathematical modelling of the trailer brake control valve for simulation of the air brake system of farm tractors equipped with hydraulically actuated brakes. Eksploatacja i Niezawodnosc - Maintenance and Reliability 2014; 16(4): 637-643.
14.
Keyser DE, Hogan K. Hydraulic brake systems and components for off-highway vehicles and equipment. National Fluid Power Association Technical Paper Series 1992; I 92-1.4: 1-9.
15.
Keyser DE. Full power hydraulic brake actuation, circuit design considerations for off-highway vehicles and equipment. In: 10th International Conference on Fluid Power - the Future for Hydraulics, Brugge, Belgium, 5-7 April 1993, edited by N. Way. Mechanical Engineering Publications, London.
16.
Khaled M, Mahmoud R. Theoretical and experimental investigations one new adaptive duo servo drum brake with high and constant brake shoe factor, university Paderborn, 2005.
17.
Knorr-Bremse, Agricultural and forestry vehicles. Brake equipment catalogue, Y206317 - (EN - Rev. 001), 2015.
18.
Kroese DP, Taimre T, Botev ZI. Handbook of Monte Carlo Methods. New York, 2011. https://doi.org/10.1002/978111....
19.
Lin M, Zhang W. Dynamic simulation and experiment of a full power hydraulic braking system. Journal of University of Science and Technology Beijing 2007; 29(10): 70-75.
20.
Morton DP, Popova E. Monte Carlo simulations for stochastic optimization: Encyclopedia of Optimization. In: Floudas CA, Pardalos PM (eds) Monte Carlo simulations for stochastic optimization. Kluwer Academic Publishers, 2001; 1529-1537, https://doi.org/10.1007/0-306-....
21.
Radlinski RW, Flick MA. Tractor and trailer brake system compatibility. SAE Transactions; paper no. 861942, 1986, https://doi.org/10.4271/861942.
23.
Tang G, Zhao H, Wu J, Zhang Y. Optimization of Braking Force Distribution for Three-Axle Truck. SAE Technical Paper 2013-01-0414, 2013, https://doi.org/10.4271/2013-0....
24.
UN Economic Commission for Europe, ECE Regulation No. 13. Uniform provisions concerning the approval of vehicles of categories M, N and O with regard to braking, Geneva, Switzerland, 2001.
25.
Venkataraman P. Applied Optimization with MATLAB Programming Wiley-Interscience. New York, 2001.
27.
Wabco, Off-highway. Overview technologies and products, Edition 2, Version 3, December 2016.
28.
Wabco, Air braking system. Agriculture and forestry vehicles, Edition 11, Version 1, October 2017.
CITATIONS (1):
1.
Calculation of the Optimal Braking Force Distribution in Three-Axle Trailers with Tandem Suspension
Zbigniew Kamiński
Acta Mechanica et Automatica
Zbigniew Kamiński
Acta Mechanica et Automatica
Share
RELATED ARTICLE
| eISSN: | 2956-3860 |
| ISSN: | 1507-2711 |
We process personal data collected when visiting the website. The function of obtaining information about users and their behavior is carried out by voluntarily entered information in forms and saving cookies in end devices. Data, including cookies, are used to provide services, improve the user experience and to analyze the traffic in accordance with the Privacy policy. Data are also collected and processed by Google Analytics tool (more).
You can change cookies settings in your browser. Restricted use of cookies in the browser configuration may affect some functionalities of the website.
You can change cookies settings in your browser. Restricted use of cookies in the browser configuration may affect some functionalities of the website.
