Driveline oscillation control by using a dry clutch system

Mashadi, Behrooz; Badrykoohi, Milad

doi:10.1016/j.apm.2015.01.061

Cited by 25 publications

(15 citation statements)

References 15 publications

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“…The drive-shaft model, which contains the flexibility of the half-shaft and the conversion ration of the transmission and the final drive, is shown in Figure 1. J ′ m is the moment of inertia of the flywheel; J L is the sum of the moment of inertia of the wheel and the moment of inertia of the vehicle equivalent to the wheel; ϕ ′ m and ϕ L are the flywheel angle and the wheel angle, respectively; f k is the stiffness function of the half-shaft which contains the linear and cubic nonlinear stiffness coefficients; c is the damping coefficient of the half-shaft or the driveline; 7 and i is the product of the speed ratio of the transmission, i 0 , and the final drive, i 1 .…”

Section: Nonlinear Drive-shaft Modelmentioning

confidence: 99%

“…To prevent judder-induced driveline oscillations, Naus et al 6 developed a robust controller for the clutch system, and the driveline after the clutch is modeled as a mass-spring-damper model which can also be called two-mass model. Based on the drive-shaft model with or without backlash, Mashadi and Badrykoohi 7 designed a linear controller to reduce the driveline vibrations, such as shuffle and shunt. In Idehara et al, 8 a mass-spring-damper model of the driveline is established where the half-shaft is modeled as a massless torsional spring/damper package.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Torsional dynamics and stability of automotive driveline considering cubic nonlinearity

Han

2018

Proceedings of the Institution of Mechanical Engineers, Part D:

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Since the half-shaft is the main flexible part of the automotive driveline, the torsional dynamics of the simplified driveline considering the cubic nonlinearity of the half-shaft is discussed in the paper. The approximate solutions of the torsional shock response and the resonance response of the driveline are derived using the method of multiple scales. The stability and bifurcation condition of the responses are judged based on the Routh–Hurwitz criterion and the bifurcation theory, respectively. It is shown that the negative cubic nonlinear stiffness is propitious to suppress the torsional shock of the driveline while the positive is on the contrary. Meanwhile, the ability of the suppression of the torsional shock can be improved with the decrease in the linear stiffness. The resonance curve of the driveline may lose its stability when the value of the cubic nonlinear stiffness reaches the threshold. By properly designing the negative cubic nonlinear stiffness of the half-shaft, the instability of the resonance can be suppressed and the ability of the suppression of the torsional shock can also be improved.

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Section: Nonlinear Drive-shaft Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Torsional dynamics and stability of automotive driveline considering cubic nonlinearity

Han

2018

Proceedings of the Institution of Mechanical Engineers, Part D:

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“…For a dual inertia system with nonlinear characteristics, a position controller of the dual inertia system is designed by the proportional-integral (PI) control method, and a reduced-order controller is designed to reduce torsional vibration and make the system appear over-damped. 20 Mashadi and Badrykoohi 21 established a transmission system model that included clutch nonlinearity and gear reverse impact characteristics, and proposed a linear controller to eliminate the vibration of the transmission system by controlling the clutch compressive force and using the clutch sliding friction.…”

Section: Introductionmentioning

confidence: 99%

Torque ripple compensation control for hybrid UGVs in mode transition based on current harmonic control of a PMSM

Zhang

Liu

Zhang

et al. 2020

Proceedings of the Institution of Mechanical Engineers, Part D:

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Load jumping and mode transitions both cause the unstable dynamic states for compound power-split hybrid Unmanned Ground Vehicles (UGVs), and these phenomena lead to vibrations of the transmission system and longitudinal buffeting of the vehicle. This study presents a feed-forward compensation control strategy for load jumping and mode transitions to reduce the corresponding torsional vibration in hybrid UGVs. The proposed method injects an appropriate harmonic current into a permanent magnet synchronous motor (PMSM) to generate a harmonic torque that is opposite to the load torque, which improves the dynamic response quality of the vehicle load. First, the multimode structure of a hybrid UGV and mode switching vibration and shock are investigated, as well as a feed-forward compensate control architecture is proposed. Second, two models are established the PMSM dynamic model based on the electromagnetic coupling principle and a 2-degree-of-freedom torsional vibration model of transmission system by simplifying the vehicle system. Third, the harmonic current injection method is proposed, and the harmonic current equation is derived. Based on the field-oriented control algorithm, a double closed-loop controller is designed for the torque and speed of the PMSM, and the internal model control method is applied to design the current controller. The simulation results show that the proposed strategy effectively suppresses jerk and that the harmonics current transfers the energy from the mechanical vibrations of the system into electric power fluctuations.

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“…Numerical results obtained indicate that, for negative gradient of the clutch friction coefficient for a dry friction clutch, the system is subjected to the self-excitation and becomes very unstable for certain values of this gradient [9]. In fact, it is also possible to simplify the model of the powertrain transmission to a four-mass model without losing too much information with respect to clutch vibrations [10][11][12][13][14]. Therefore, to investigate the reduction of friction clutch vibrations, fewer degrees of freedom models are applied to represent the detailed powertrain system [10,11].…”

Section: Introductionmentioning

confidence: 99%

“…In fact, it is also possible to simplify the model of the powertrain transmission to a four-mass model without losing too much information with respect to clutch vibrations [10][11][12][13][14]. Therefore, to investigate the reduction of friction clutch vibrations, fewer degrees of freedom models are applied to represent the detailed powertrain system [10,11]. The simplified powertrain model enables identical system descriptions during slipping and sticking phase of the dry friction clutch and is used for studying the onset of stick-slip motions [12].…”

Section: Introductionmentioning

confidence: 99%

Modeling and simulation of longitudinal dynamics coupled with clutch engagement dynamics for ground vehicles

2017

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During the engagement of the dry clutch in automotive transmissions, clutch judder may occur. Vehicle suspension and engine mounts couple the torsional and longitudinal models, leading to oscillations of the vehicle body that are perceived by the driver as poor driving quality. This paper presents an effective formulation for the modeling and simulation of longitudinal dynamics and powertrain torsional dynamics of the vehicle based on non-smooth dynamics of multibody systems. In doing so friction forces between wheels and the road surface are modeled along with friction torque in the clutch using Coulomb's friction law. First, bilateral constraint equations of the system are derived in Cartesian coordinates and the dynamical equations of the system are developed using the Lagrange multiplier technique. Complementary formulations are proposed to determine the state transitions from stick to slip between wheels and road surface and from the clutch. An event-driven scheme is used to represent state transition problem, which is solved as a linear complementarity problem (LCP), with Baumgarte's stabilization method applied to reduce constraint drift. Finally, the numerical results demonstrate that the modeling technique is effective in simulating the vehicle dynamics. Using this method stick-slip transitions between driving wheel and the road surface and from the clutch, as a form of clutch judder, are demonstrated to occur periodically for certain values of the parameters of input torque from engine, and static and dynamic friction characteristics of tire/ground contact patch and clutch discs.

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Driveline oscillation control by using a dry clutch system

Cited by 25 publications

References 15 publications

Torsional dynamics and stability of automotive driveline considering cubic nonlinearity

Torsional dynamics and stability of automotive driveline considering cubic nonlinearity

Torque ripple compensation control for hybrid UGVs in mode transition based on current harmonic control of a PMSM

Modeling and simulation of longitudinal dynamics coupled with clutch engagement dynamics for ground vehicles

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