A refined torsional-lateral-longitude coupled vehicular driveline model for driveline boom problems

Shen, Cunrui; Lu, Chihua

doi:10.1016/j.apm.2020.10.009

Cited by 5 publications

(5 citation statements)

References 30 publications

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“…where, x 0 is the zero-order approximate solution of Equation ( 20), x 1 is the first-order approximate solution of Equation (20). Through substituting Equations ( 22) and ( 23) into Equation (20), the coefficients of ε 0 and ε 1 can be concluded as:…”

Section: System Model Solving and Resonance Analysismentioning

confidence: 99%

“…By establishing the electromechanical coupling model of the three-phase AC motor under open-loop voltage-frequency control mode, Han et al analyzed the influence of the multi-stage inverter and other factors on the system torsional fatigue life [19]. Based on the rotor dynamics, the system dynamics model, which can reflect the torsional-lateral-longitude coupling effect between the transmission shaft and the integral rear axle assembly, was constructed for analyzing the multi-dimensional vibration coupling problem of the RWD vehicle transmission system [20]. Sopanen et al studied the mechanical interaction mechanism between the wind turbine and the permanent magnet direct-driven rotor, and analyzed the influence of four permanent magnet rotor structures on the mechanical vibration of the wind turbine in detail [21].…”

Section: Introductionmentioning

confidence: 99%

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Stability Analysis of Electromechanical Coupling Torsional Vibration for Wheel-Side Direct-Driven Transmission System under Transmission Clearance and Motor Excitation

Liu

Zhang

2022

WEVJ

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The wheel-side direct-driven transmission system (WDTS) is a new intelligent transmission technology, which has significant advantages in high-efficiency and few malfunctions for the electric bus. Based on the Lagrange–Maxwell equation, the WDTS electromechanical coupling dynamic model, whose effectiveness is verified by the PMSM speed, is constructed for analyzing the system torsional vibration destabilization characteristics. Then, by determining the resonance curve equation for the torsional vibration response amplitude of the WDTS with the direct multi-scale method, the influences of the torque ripple amplitude of the PMSM and the transmission clearance on the system torsional vibration stability are analyzed. The results indicate that the WDTS torsional vibration response shows complex nonlinear characteristics especially under the effect of the system transmission clearance, which has an important impact on the system stable operation. The research results can lay a theoretical foundation for the design of the WDTS of the electric bus.

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Section: System Model Solving and Resonance Analysismentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Stability Analysis of Electromechanical Coupling Torsional Vibration for Wheel-Side Direct-Driven Transmission System under Transmission Clearance and Motor Excitation

Liu

Zhang

2022

WEVJ

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“…The transmission shaft usually has two main vibration forms, bending vibration and torsional vibration, and the two kinds of vibration appear at the same time and affect each other. Bending-torsional coupled vibration has a serious impact on dynamic performance and reliability of transmission system [3,4,5]. The main factors causing the transmission shaft vibration include torque fluctuation, dynamic unbalance, misalignment, universal-joint phase [6,7,8].…”

Section: Introductionmentioning

confidence: 99%

“…The main factors affecting the precision of the shafting numerical model include universal joint motion, misalignment, support flexibility, system coupling, rotational speed fluctuation and so on [22,23]. Lu [24] and Yao [25] established a nonlinear dynamic models of universaljoint and analyzed the effects of universal-joint motion and phase on vibration characteristics of shafting. The stability of universal joint is also affected by misalignment of shafting.…”

Section: Introductionmentioning

confidence: 99%

Numerical model and coupled vibration analysis of transmission shaft with spatial angle misalignment

Zhang,

Su,

Zang

2024

Preprint

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Vibration control is the key to development of high-speed and light-weight transmission system. There are many factors affecting the vibration, and the influence of misalignment is the most obvious. Therefore, it is important to understand the dynamic response of transmission shaft with misalignment. In previous studies, researchers studied the influence of plane angle misalignment. However, there are few researches on the effect of spatial misalignment on shafting vibration. In this paper, a numerical model of shafting with spatial misalignment is established. The influence of plane angle misalignment and spatial angle misalignment on the vibration is studied. The numerical and experimental results show that the vibration of shafting with spatial angle misalignment is bending-torsional coupled vibration, and the two kinds of vibration reinforce each other, and the torsional vibration is the main vibration. Compared with the influence of plane angle misalignment, the influence of spatial angle misalignment is more obvious..

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“…The study extensively addresses the correlation between the modes and responses exhibited by an unbalanced rotor. Shen and Lu [16] developed a model of coupled torsional-lateral-longitude vibration of vehicular drivelines to study the interior boom problems. Wahab et al [17] investigated the effect of torsional deformation on the dynamic instability of a high-speed rotating Timoshenko shaft system.…”

Section: Introductionmentioning

confidence: 99%

Numerical Study on the Torsional and Lateral Vibrations of Double Universal Joint Driveline System

Mohd Hazri Omar,

Ab Rahim,

Md Rejab

2023

Int. J. Automot. Mech. Eng.

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Utilizing a universal joint can lead to significant vibration within a driveline system. This study presents a model for analyzing the torsional and lateral vibrations of a driveline connected by a double universal joint. The governing equations of motion are derived, and the Runge-Kutta method computes steady-state responses across a spectrum of input rotational speeds. The focus is to examine the effect of system parameters, including static angular misalignment, load torque, and lateral stiffness. Relative amplification is used to analyze the effects of parameters on system vibration. Results indicated that the second-order component of input rotational speed induced by the universal joint was the factor that caused the vibrations. For the considered system, static angular misalignment significantly impacts both the torsional and lateral vibrations. Increasing the angular misalignment from 15° to 30° results in a threefold increase in lateral vibration amplification, while torsional vibration amplification is increased by nearly two times. The effect of load torque is almost linearly proportional to torsional vibration but is nonlinear to lateral vibration. Thus, lateral vibration is significantly impacted compared to torsional vibration for higher load torque. Changing the stiffness leads to a modification of the natural frequency. Increasing the lateral stiffness shifts the critical speed to a higher speed range, resulting in reduced lateral vibration amplitude. It is demonstrated that a slight fluctuation in angular misalignment due to lateral vibration will not affect the torsional vibration even if both vibrations are coupled. The findings may enhance understanding of how changing system parameters affects vibration.

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A refined torsional-lateral-longitude coupled vehicular driveline model for driveline boom problems

Cited by 5 publications

References 30 publications

Stability Analysis of Electromechanical Coupling Torsional Vibration for Wheel-Side Direct-Driven Transmission System under Transmission Clearance and Motor Excitation

Stability Analysis of Electromechanical Coupling Torsional Vibration for Wheel-Side Direct-Driven Transmission System under Transmission Clearance and Motor Excitation

Numerical model and coupled vibration analysis of transmission shaft with spatial angle misalignment

Numerical Study on the Torsional and Lateral Vibrations of Double Universal Joint Driveline System

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