The iterative method usage in calculating road vehicle braking properties considering the redistribution of vertical reactions
Abstract
Introduction. One of the main stages in the design of special-purpose vehicles is the calculation of the brake system. When calculating the braking performance dynamically, the braking diagram is constructed in the form of a graph of deceleration dependence, the braking pressure or a specific time braking force. On each axis, the maximum braking force and traction limit are compared. Then, the increasing pressure time and the stopping distance are determined.
The purpose of the study was to identify the integral method shortcomings when calculating the braking distance and to carry out the necessary refinements.
Methodology and research methods. The integral and iterative methods for calculating the braking distance due to the braking diagram are known. More accurate results can be achieved by applying the iterative method at each step of differentiation. However, in the design and evaluation calculations, the accuracy ensured by the integral method is sufficient taking into account the refinements given in this article. The pressure rise time in the pneumatic brake actuator is determined by means of the linear approximation method.
Scientific novelty and results. In the course of research it has been found that the traditional integral method did not take into account the dependence of the clutch implementation time on the adhesion coefficient, mass of the load, vertical reactions redistribution under the deceleration influence and the mass center height of different parts of a road vehicle. Besides, the ratio of the maximum braking force and the adhesion limit was not also taken into consideration, as well as the influence of the brake chambers size and the friction coefficient between the friction surfaces of the brake mechanisms. The authors proposed a new refined method for calculating the braking properties.
Practical significance. The research results should be taken into account when developing brake systems, automatic emergency braking systems and autonomous control systems. They can also be used in the educational process.
About the Authors
M. P. MalinovskiyRussian Federation
PhD (Eng), associate professor, Department of haulers and amphibious machines
Moscow 125319
E. S. Smolko
Russian Federation
student, Faculty of Mechanical Engineering
Moscow 125319
References
1. Malinovskiy M.P. [Mental tension in the transport flow: causes, consequences, countermeasures]. Avtomobil’. Doroga. Infrastruktura, 2018, no. 4, p. 3. (In Russian)
2. Kristal’nyy S.R., Popov N.V., Fomichev V.A. [The functioning problems of anti-lock braking system on vehicles, equipped with means of anti-sliping]. Vestnik MADI, 2012, issue 2, pp. 10а–17. (In Russian)
3. Ivanov A.M., Kristal›nyy S.R., Popov N.V. [Automatic Emergency Braking Systems: Monograph]. Moscow, MADI Publ., 2018. 180 p. (In Russian)
4. Kristal›nyy S.R., Toporkov M.A., Fomichev V.A., Popov N.V. [The criteria for evaluating the efficiency of the electronic stability control systems of vehicles]. Avtomobil’. Doroga. Infrastruktura, 2015, no. 2, p. 2. (In Russian)
5. Petrenko A.M. [Guidelines for laboratory work in the discipline “Theory of special vehicles”. Part 1]. Moscow, MADI Publ., 2003. 54 p. (In Russian)
6. Malinovskiy M.P. [Iterative method for calculating the anti-lock cycle]. Avtomobil’naya promyshlennost’, 2011, no. 5, pp. 33–35. (In Russian)
7. Gladov G.I., Petrenko A.M. [Special vehicles: Theory: textbook. Ed. by Gladov G.I.]. Moscow, Akademkniga Publ., 2006. 215 p. (In Russian)
8. Zhukov I.S., Dygalo V.G. [Assessment of thermal loading of friction pairs of an automated vehicle brake system]. Trudy NGTU im. R.E. Alekseeva, 2018, no. 3, pp. 147–152. (In Russian)
9. Pavlov V.V. [Design calculations of special purpose vehicles (SPV): a training manual]. Moscow, MADI Publ., 2014. 116 p. (In Russian)
10. Akhmetshin A.M., Ryazantsev V.A. [Researches of process of braking of the vehicle with ABS]. Zhurnal avtomobil’nykh inzhenerov, 2015, no. 1, pp. 16–19. (In Russian)
11. Balakina E.V., Sarbaev D.S. [To the question about definition of longitudinal wheel sliding]. Avtomobil’naya promyshlennost’, 2018, no. 10, pp. 25–27. (In Russian)
12. Dygalo V.G., Revin A.A. [General principles for the formation of semi-natural models in the design of the braking system of a car with ABS]. Izvestiya Volgogradskogo gosudarstvennogo tekhnicheskogo universiteta. Seriya: Nazemnye transportnye sistemy, 2013, vol. 7, no. 21, pp. 10–16. (In Russian)
13. Borisov S.V., Kamitov M.S., Osipov V.I. [Optimization of the nonlinear shock absorber characteristic]. Avtomobil’. Doroga. Infrastruktura, 2016, no. 2, pp. 1. (In Russian)
14. Malinovskiy M.P., Roldugin V.D., Kuleshova N.A. [Calculation of reaction time of pneumatic brake actuators on wheeled special purpose vehicles]. Vestnik MADI, 2016, issue 4, pp. 68–74. (In Russian)
Review
For citations:
Malinovskiy M.P., Smolko E.S. The iterative method usage in calculating road vehicle braking properties considering the redistribution of vertical reactions. Trudy NAMI. 2020;(1):36-47. (In Russ.)