#### 629.1.028 Mathematical model of movement of the multi-wheeled vehicles with torsional flexible bearing system

##### Zhileykin M. M. (Bauman Moscow State Technical University), Sarach E. B. (Bauman Moscow State Technical University)

###### MATHEMATICAL MODEL, RECTILINEAR MOTION OF MULTI-WHEELED VEHICLE, DIFFERENTIAL EQUATIONS, SIMULATION, DYNAMICS EQUATIONS, EQUATIONS OF KINEMATIC RELATIONS

doi: 10.18698/2309-3684-2015-3-1740

Within the framework of solving the problem of active control of the elastic and damping elements of multi-wheeled vehicle (MWV) suspension brackets investigating the properties of suspension bracket families designed both for different travels and for different loading is of great importance. Their kinematic schemes can be also rather various. It is not feasible to collect the required amount of information for families of vehicles of different design and operating characteristics. Performing a full analytical study to determine the appropriate characteristics is not possible. This problem could be successfully solved only by simulation. A mathematical model of the MWV motion is developed. The characteristic feature of the model is that the vehicle speed is not set forcedly, but it is generated by the interaction of the rotating wheeled propellers with the supporting base. It results in high accuracy in modeling real processes of MWV moving along an uneven road. The developed model can be applied to research various laws of multi-wheeled vehicle suspension bracket control.

[1] Zarubin V.S., Kuvyrkin G.N. Matematicheskoe modelirovanie i chislennye menody – Mathematical Modeling and Numerical Methods, 2014, no. 1, pp. 5–17.
[2] Dimitrienko Yu.I. Mekhanika sploshnoi sredy. Tom 4 [Continuum Mechanics. Vol. 4]. Osnovy mekhaniki tverdogo tela [Fundamentals of Solid Mechanics]. Moscow, BMSTU Publ., 2013, 624 p.
[3] Proskuryakov V.B. Dinamika i prochnost ram i korpusov transportnykh mashin [Dynamics and Strength of the Frames and Enclosures of Transport Vehicles]. Leningrad, Mashinostroenie Publ., 1972, 232 p.
[4] Vlasov C.H. Tonkostennye uprugie sterzhni [Thin-Walled Elastic Rods]. Moscow, Fismatlit Publ., 1959, 128 p.
[5] Khachaturov A.A., Afanasyev V.L., Vasilyev V.C. Raschet ekspluatatsionnykh parametrov dvizheniya avtomobilya i avtopoezda [Calculation of Operational Parameters of the Vehicle and Road Train]. Moscow, Transport Publ., 1982, 264 p.
[6] Kotiev G.O., Sarach E.B. Kompleksnoe podressorivanie vysokopodvizhnykh dvukhzvennykh gusenichnykh mashin [Integrated Cushioning Highly Mobile Double-Link Tracked Vehicle]. Moscow, BMSTU Publ., 2010, 184 p.
[7] Rozhdestvenskiy Yu.L., Mashkov K.Yu. O formirovanii reaktsiy pri kachenii uprugogo kolesa po nedeformiruemomu osnovaniyu [On the Formation of the Reactions When Rolling an Elastic Wheel on a Rigid Base]. Trudy MVTU — Proceedings of the Bauman Higher Technical School, 1982, no. 390, pp. 56–64.
[8] Ellis J.R. Upravlyaemost avtomobilya [Controllability of the Car]. Moscow, Mashinostroenie Publ., 1975, 216 p. [In Russian].
[9] Kotiev G.O. Prognozirovanie ekspluatatsionnykh svoystv system podressorivaniya voennykh gusenechnykh mashin [Predicting Performance of the Suspension Systems of Military Tracked Vehicles]. Doctor of Engineering Sciences Thesis. Moscow, Bauman Moscow State Technical University, 2000, 265 p.

Zhileykin M., Sarach E. Mathematical model of movement of the multi-wheeled vehicles with torsional flexible bearing system. Маthematical Modeling and Coтputational Methods, 2015, №3 (7), pp. 17-40