Izvestiya MGTU MAMIIzvestiya MGTU MAMI2074-0530Moscow Polytechnic University10561110.31992/2074-0530-2021-50-4-73-82Research ArticleModeling the work of the automotive differential with internal friction in the system for calculating the multi body dynamicsChichekinI. V.<p>PhD in Engineering</p>chichekin_iv@bmstu.ruShuranovaA. A.arina1999_arina@mail.ruBauman Moscow State Technical University15122021154738229032022Copyright © 2021, Chichekin I.V., Shuranova A.A.2021<p>The work is devoted to the operation of an automobile differential of suspended friction modeling in the system for calculating the dynamics of coupled bodies. The model was developed in the RecurDyn application for calculating the dynamics of rigid and deformable bodies from the FunctionBay company.</p>
<p>The aim of the work is to develop a mathematical model of the differential with friction washers and to confirm the adequacy of its operation. The developed mathematical model of the differential is tested for the possibility of its subsequent use in modeling the transmission of a vehicle in the calculating the dynamics of coupled bodies system. In this work, a model of the differential has been created and described in detail. The model was used for the analysis of kinematics and dynamics. Methods of modeling a simple symmetric differential and a self-locking one are shown based on one mathematical model. The well-known analytical dependences describing the kinematic and force laws of the ratio of angular velocities and torques between the output links and the differential housing are given. A method for calculating and modeling the friction torque in the differential was selected and described. An equation describing the frictional moment in the differential is presented.</p>
<p>A virtual test bench was developed and described. Afterwards it was used for differential operation simulation. Load modes that are equivalent to various driving conditions of a real automobile are selected, their quantitative parameters are given. In this work, the criteria for evaluating the performance of the differential model are selected. The results of modeling for all load modes are given. According to those results the adequacy of the developed mathematical model of the differential with friction washers is proved. The proposals on the use of the developed model are given.</p>self-locking differentialmathematical modeldynamics of coupled bodiesRecurdynсамоблокирующийся дифференциалматематическая модельдинамика связанных телRecurdyn[Andreyev A.F., Vantsevich V.V., Lefarov A.KH. Differentsialy kolesnykh mashin [Differentials of wheeled vehicles]. Izdatel'stvo «MashinostroyeniYE» Publ., 1987. 51−54 p.][Vol'skaya N. S., Levenkova YE. YU., Chudakov O. I. Konstruktsii privodov i raspredelitel'nykh mekhanizmov sovremennykh avtomobiley [Design of drives and distribution mechanisms of modern automobiles]: Uchebno-metodicheskoye posobiye. 17−23 p.][Ageykin YA.S., Vol'skaya N.S., Chichekin I.V. Prokhodimost' avtomobilya [Vehicle cross-country ability]: uchebnik. Moscow: MGIU Publ., 2010. 275 p.][Gorelov V.A., Chudakov O.I. Improving traction and dynamic properties and active safety of a wheeled vehicle due to rational redistribution of torque between axles. Sbornik: Tekhnologii i komponenty intel-lektual'nykh transportnykh sistem. 2018, pp. 181−192 (in Russ.).][Tarasik V.P., Puzanova O.V., Kurstak V. I. Modeling differential drives of driving wheels of mobile vehicles. Vestnik Belorussko-Rossiyskogo universiteta. 2009. No 3(24), pp. 42–53 (in Russ.).][Zhileykin M.M. Stabilization of the movement of two-axle wheeled vehicles due to the redistribution of torque between the driving wheels. Izvestiya vysshikh uchebnykh zavedeniy. Mashinostroyeniye. 2017. No 3(684), pp. 31−39 (in Russ.).][Chichekin I.V., Levenkov YA.YU., Vol'skaya N.S., Shiryayev K.N., Yastrebov G.YU. Modeling the motion of a wheeled vehicle of high cross-country ability on deformable soil. Trudy NAMI. 2020. No 4(283), pp. 32−41 (in Russ.).][Chichekin I.V., Maksimov R.O. Modeling the operation of an automobile differential in a system for calcu-lating the dynamics of rigid bodies. Izvestiya MGTU «MAMI», 2019. No 2(40), pp. 80−87 (in Russ.). DOI: 10.31992/2074-0530-2019-40-2-80-87][Ofitsial'nyy sayt programmnogo obespecheniya RcurDyn s funktsiyey Help [Official website of RcurDyn software with Help function] [Elektronnyy resurs]. URL: https://functionbay.com/documentation/onlinehelp/default.htm , svobodnyy. – Yaz. angl. (accessed – 2021-10-13).][Rukovodstvo po ekspluatatsii avtomobilya GAZ-66-11 i yego modifikatsii [Operation manual for the GAZ-66-11 vehicle and its modifications]. Ministerstvo avtomobil'noy promyshlennosti SSSR Publ., 1986, pp. 8−11.]