Nonlinear Dynamics of the Car Driving System with a Sequential Manual Transmission
Sequential manual transmissions are the most common sources of various contacts and impacts especially in rally cars. Dynamics of such systems can be very interesting and can influence the overall dynamic performance of a whole car. Therefore, it is neces
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tract Sequential manual transmissions are the most common sources of various contacts and impacts especially in rally cars. Dynamics of such systems can be very interesting and can influence the overall dynamic performance of a whole car. Therefore, it is necessary to have proper tools for dynamical modelling of gearboxes. This paper deals with the modelling and dynamic analysis of a driving system of a real car with a sequential manual transmission. A complex computational model of the sequential gearbox was created and after verification it allows to study nonlinear behaviour of the whole driving system. Parametric studies can be performed in order to investigate various qualitative effects of chosen design elements, etc.
1 Introduction Car driving systems are very interesting from the viewpoint of its dynamic behaviour that can be related to a gear mesh of wheels, to variable torques during rapidly changing operating conditions or other impacting design elements. Especially, sequential manual transmissions are common sources of impacts and contacts that impose time varying excitation. Design engineers need sufficient computational methodologies and tools in order to predict dynamic behaviour of developing systems. Therefore, this paper is aimed at the modelling methodology and dynamic analysis of a car driving system with a sequential manual transmission. R. Bulín (✉) ⋅ M. Hajžman ⋅ Š. Dyk ⋅ M. Byrtus Faculty of Applied Sciences, University of West Bohemia, Univerzitní 8, Plzeň, Czech Republic e-mail: [email protected] M. Hajžman e-mail: [email protected] Š. Dyk e-mail: [email protected] M. Byrtus e-mail: [email protected] © Springer International Publishing Switzerland 2016 J. Awrejcewicz (ed.), Dynamical Systems: Theoretical and Experimental Analysis, Springer Proceedings in Mathematics & Statistics 182, DOI 10.1007/978-3-319-42408-8_5
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General car dynamics including its transmission systems and their effect on vehicle performance are described, e.g. in [7, 10, 14]. Nonlinear dynamics of a car were studied in [9] using a single nonlinear ordinary differential equation. Authors of [3] investigated interesting nonlinear dynamic properties of gear systems in automatic gearbox. Many authors studied synchronization in vehicle transmission systems [1, 11, 13], which is a important dynamic element. A simple driveline model for simulations of dry clutch dynamics was chosen in [16]. Sequential performance is mainly affected by shifting, the event of changing gears. Gear-shift in sports cars was studied in [5], while particular control of shifting was shown in [4, 12]. This paper is divided into two main sections. The general modelling methodology based on multibody dynamics is introduced and the complex computational model of a transmission system with a sequential gearbox for the particular rally car is presented. This model is further used for numerical simulations of shifting and the results are compared with measured results obtained from experiments.
2 Computational Modelling of a Driving Syst
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