Problem statement. A wide range of modern engines, gearboxes, and mass-dimension characteristics of a car requires the development of efficient algorithms and methods of designing dual mass flywheels (DMFs) for the given transmission parameters. Improper selection of the design parameters of the DMF can lead to a deterioration of its properties and, consequently, to the increase of vibrations, reduction of the lifetime of the gearboxes, etc. Equally important is the problem of the DMF durability, which depends on many factors, in particular, the character of driving the car by the driver. The solution of the two mutually contradictory tasks formulated above is closely linked to the creation of simulation models of the car drive with a DMF, which will allow simulating different modes of the transmission operation, in order to optimize the parameters of the DMF to the specific design parameters of the car drive. The purpose. Taking into account the design features of the transmission and DMF, to develop and substantiate dynamic, mathematical, and stimulating models of the car drive with a DMF and to study the oscillation processes while moving a car from rest. Research methods. To construct a mathematical model of a car drive with a DMF, the Lagrange method of the 2nd kind was applied. To solve the differential equations of the car motion during acceleration and simulate oscillation processes in the transmission and DMF sections, we used numerical methods with their implementation in the MatLab Simulink environment. Results. A simulation model of a front-wheel car drive with a dual-mass flywheel has been developed in the Simulink environment. The oscillation processes in the transmission and elastic elements of the DMF by the case of moving the car of category M1 from rest were investigated. Recommendations were made to increase the lifetime of the DMF. The novelty. It has been found that the use of a DMF contributes to reducing the dynamic load applied to the drive sections, absorbing the vibration energy generated by the engine. The amplitude of torque oscillations in the transmission sections, semi-axles, and tires is approximately 1.4 times smaller in the DMF drive than in the single-mass flywheel drive. Increasing the energy dissipation coefficient in the DMF from 4 to 20 N·s·m leads to a decrease in the torque amplitude in the drive sections by 1.3 – 1.6 times at the beginning of moving the car from rest, reducing the duration of transient processes from 2 to 0.75 s, which eliminates the overloading of DMF elastic sections, increasing their lifetime. The practical value. A simulation model of a car drive with a DMF during the period of moving the car from rest has been developed, which makes it possible to simulate the influence of the design parameters of the drive and DMF on the loading of the elastic sections and to calculate their strength under long-term cyclic loading. Areas for further research. To investigate oscillation processes in the DMF and transmission sections under different modes of the car movement in order to determine ways to increase the DMF lifetime by reducing the influence of cyclic loading on their elastic sections.
 B. I. Kindratskyy, and R. H. Litvin, “Klasyfikatsiia nespravnostei dvomasnykh makhovykiv u pryvodakh avtomobiliv ta prychyny yikh vynyknennia” [“The classification of malfunction of dual-mass flywheels in automotive vehicles drives and causes of their appearance”], Visnyk Natsionalnoho transportnoho universytetu [Bulletin of National Transport University], vol. 42, no. 3, pp. 46–53, 2018. [in Ukrainian].
 R. H. Litvin, “Analiz efektyvnosti vykorystannia dvomasovoho makhovyka na avtomobili” [“Analysis of the efficiency of using a dual-mass flywheel in the car”], Visnyk Natsionalnoho universytetu “Lvivska politekhnika” [Bulletin of Lviv Polytechnic National University], no. 838, pp. 180-185, 2016. [in Ukrainian].
 B. I. Kindratskyy, and R. H. Litvin, “Kolyvalni protsesy u transmisii avtomobilia z dvomasnym makhovykom pid chas roboty dvyhuna na kholostomu khodi” [“Oscillation processes in the transmission of a car with a dual-mass flywheel while the engine is idling”], Pidiomno-transportna tekhnika [Lifting and conveying equipment] vol. 57, no. 1, pp. 45–54, 2018. [in Ukrainian].
 M. Sidorowicz, and D. Szpica, “Dwumasowe koło zamochodowe: projektowanie i analiza” [Dual mass flywheel design and analysis], Modelowanie inżynierskie [Engineering modeling], no. 46, pp. 103-109, 2013. [in Polish].
 D. G. Dighole, R. S. Ahelke, and S. N. Shelke, “Design and development of a dual mass flywheel for improving energy storage capability”, International Journal of Science, Engineering and Technology Research (IJSETR), vol. 4, pp. 2359-2364, 2015.
 Lei Chen, Xiao Zhang, Zhengfeng Yan, and Rong Zeng, “Matching Model of Dual Mass Flywheel and Power Transmission Based on the Structural Sensitivity Analysis Method”, Symmetry, vol. 11, no. 2, pp. 1-29, 2019. https://doi.org/10.3390/sym11020187
 Anand Pitchaikani, Shankar Venkataraman, Kiran Kumar Koppu, John Batteh, and Michael Tiller Emmeskay, “Powertrain Torsional Vibration System Model Development in Modelica for NVH Studies”, in Proc. 7th Modelica Conference, Como, Italy, 2009, рр. 444-453. https://doi.org/10.3384/ecp09430009
 V. V. Selifonov, and Nguen Hak Tuan, “Metod modelirovaniya dinamiki mehanicheskih transmissiy avtomobiley s frikcionnymi scepleniyami” [“The method of modeling the dynamics of mechanical transmissions of cars with friction clutches”], Izvestiya Moskovskogo gosudarstvennogo tehnicheskogo universiteta “MAMI” [Bulletin of Moscow State Technical University “MAMI”] vol. 12, no. 2, pp. 51-56, 2011. [in Russian].
 L. Li, Z. Zhu, Y. Chen, K. He, X. Li, X. Wang, “Engagement Control of Automated Clutch for Vehicle Launching Considering the Instantaneous Changes of Driver's Intention”, Journal of Dynamic Systems Measurement and Control, vol. 139, no. 2, pp. 1-12, 2016. https://doi.org/10.1115/1.4034841
 A. I. Tarasenko, “Krutil’nye kolebaniya v malooborotnom dizele pri stacionarnyh i perehodnyh processah” [“Torsional vibrations in a low-speed diesel engine during stationary and transient processes”], Dvigateli vnutrennego sgoraniya [Internal combustion engines], no. 1, pp. 81-84, 2010. [in Russian].
 M. V. Diachuk, “Rozrobka modeli fryktsiinoho zcheplennia z hidropnevmatychnym pryvodom” [“Development of a model of the friction clutch with hydropneumatic drive”], Visnyk Natsionalnoho tekhnichnoho universytetu “KhPI”, [Bulletin of National Technical University “KhPI”], vol. 1051, no. 8, pp. 155–161, 2014. [in Ukrainian].
 A. R. Imangulov, and N. M. Fil’kin, “Issledovanie dinamicheskoy nagruzhennosti transmissii gibridnogo legkovogo avtomobilya” [“The study of the dynamic loading of the transmission of a hybrid car”], Intellektual'nye sistemy v proizvodstve “Vestnik Izhevskogo gosudarstvennogo tehnicheskogo universiteta” Seriya: Mashinostroenie [Intelligent systems in production “Bulletin of Izhevsk State Technical University”. Series: Mechanical engineering], vol. 24, no. 2, pp. 39-42, 2014. [in Russian].
 V. V. Kurts, and I. E. Anufriiev, “Modelirovanie scepleniya avtomobilya v transportnyh trenazherah” [“Modeling vehicle clutch in transport simulators”], Electronic resource. Log access mode: https://matlab.ru/upload/resources/EDU%20Conf/pp%20381-396%20Kurts.pdf. [in Russian].
 V. T. Pavlyshche, Osnovy konstruiuvannia ta rozrakhunok detalei mashyn [Fundamentals of designing and calculating of machine parts]. Lviv, Ukraine: Afisha Publ., 2003. [in Ukrainian].
 B. I. Kindratskyy, R. H. Litvin, “Adaptyvnyi dvomasovyi makhovyk” [“Adaptive dual mass flywheel”], UA Patent 133320, March 25, 2019. [in Ukrainian].