Effects of eccentricity defect on the nonlinear dynamic behavior of the mechanism clutch-helical two stage gear

Walha, Lassâad; Driss, Yassine; Khabou, Mohamed Taoufik; Fakhfakh, Tahar; Haddar, Mohamed

doi:10.1016/j.mechmachtheory.2011.02.002

Cited by 29 publications

(17 citation statements)

References 11 publications

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“…µ s and µ D are respectively the static and dynamic friction coefficients, ε is a factor which controls the gradient of exponential decaying and σ is the conditioning factor that controls the smoothing level at the discontinuity of this function. The ε and σ values are verified with those by Walha et al (2011), and they are equal to: ε = 2 and σ = 50.…”

Section: Vehicle Clutch Modellingsupporting

confidence: 67%

“…Templin and Egardt (2009) investigated a torsional drivetrain model with only two degrees of freedom. A more detailed model was developed by Walha et al (2011) to study the effect of the eccentricity defect on the dynamic behavior of a coupled clutch-helical two stage gear system. Brancati et al (2007) intend to modeled and investigate the effect of oil damping on the dynamic behavior where the considered model was constituted by a flywheel, clutch and gear pairs of an automotive transmission.…”

Section: Introductionmentioning

confidence: 99%

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Effect of the gear local damage and profile error of the gear on the drivetrain dynamic response

Ghorbel

Zghal

Abdennadher

et al. 2018

jtam

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The dynamic modeling of vibration of a drivetrain is used for increasing our information about vibration generating mechanisms, especially in the presence of some kind of gear faults. This paper describes a research work on the automotive driveline modeling, vibration analysis, and the effect of gear defects on the dynamic behavior of the system. Firstly, main drivetrain components including the engine, clutch, single stage spur gearbox and disc brake are modeled, respectively. The nonlinear dynamic model is simulated by a thirteen degrees of freedom (DOF) system and the nonlinear function is due to the dry friction path. Secondly, two types of defects are modeled and introduced into the spur gear system; local damage and profile error. Then, the nonlinear equations of motion are solved by the numerical Runge Kutta method and a comparative study of the dynamic behavior of the system in healthy and defected cases is discussed for each fault type. The influence of the defects on the vibration response is presented in the time and frequency domain. Finally, analysis of the two defects together is presented.

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Section: Vehicle Clutch Modellingsupporting

confidence: 67%

Section: Introductionmentioning

confidence: 99%

Effect of the gear local damage and profile error of the gear on the drivetrain dynamic response

Ghorbel

Zghal

Abdennadher

et al. 2018

jtam

Self Cite

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“…The previous mentioned dynamic models of helical gears motion (Walha et al 2011;Atanasovska et al 2012), use simplified stiffness variable called total mesh stiffness c 0 that is sum of total teeth pair stiffness for all simultaneously meshed teeth pairs. For involute helical gears, that means: where: c i ' is average teeth pair stiffness for ith teeth pair in contact and B i is length of line of contact for ith teeth pair.…”

Section: Teeth Stiffness and Mesh Stiffnessmentioning

confidence: 99%

“…In general, a pair of gears is simulated with two disks coupled with non-linear mesh stiffness and mesh damping, (Umezawa et al 1986;Parker et al 2000). Many authors confirmed this simplified dynamic model and focus their investigation resources on various influence factors (Walha et al 2011;Atanasovska et al 2012). Moradi and Salarieh (2012) in their latest paper point out the importance of studying the nonlinear oscillations of gears from aspect of competitive limitations of noise level and vibrations in last decade.…”

Section: Introductionmentioning

confidence: 96%

The New Approach for Calculation of Total Mesh Stiffness and Nonlinear Load Distribution for Helical Gears

Jelić¹,

Atanasovska²

2013

Power Transmissions

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This paper described a new approach for calculation of mesh teeth stiffness and load distribution for helical gears. The mesh teeth pair stiffness is a parameter that varies both during a teeth pair mesh period and along teeth pair contact line, and can be work out only by simultaneously solving both these tasks. The Finite Element Analysis (FEA) is performed to calculate the gear teeth pair's total deformations and normal load functions in time and along teeth pair contact lines. The specific iteration procedure is used, too. The total mesh stiffness and normal load distribution calculated with this procedure can be used for precise helical gears load capacity calculations and evaluation of nonlinear dynamic model of helical gears motion.

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“…WALHA 等 [12] 建立了两级斜齿轮耦合的汽车离合器模型，模型中分析了偏心对传动系统的影响。文献 [13][14]在考虑静态传递误差，齿轮几何偏心等因素的影响，建立了平行轴系齿轮转子系统的有限元模型。分析了静态传递误差、转子质量不平衡/齿轮几何偏心以及三者耦合对系统动力学特性的影响。研究结果表明，齿轮几何偏心对啮合力有很大影响，其作用相当于一个扭矩作用于齿轮。郜浩冬等 [15] 建立了考虑齿侧间隙，齿面摩擦力和时变啮合刚度等因素的三齿轮扭转振动模型。分析了布局参数对齿面摩擦力和时变啮合刚度的影响，研究了不同摩擦因数对系统动态响应的影响以及有无摩擦因数对系统混沌运动的影响。 WANG 等 [16] 考虑了参数随机扰动性对齿轮系统动的影响，建立了单自由度的随机动态模型。数值仿真表明：随着齿轮时变啮合刚度的增大，齿轮传动系统从周期运动通过倍化分岔通向混沌运动；在啮合刚度的随机扰动不是很大时，系统解的周期结构不会发生大的变化。张慧博等 [17] 建立了考虑径向间隙与动态齿侧间隙耦合的齿轮-转子系统动力学模型，分析了径向间隙与齿侧间隙的耦合关系及其对齿轮传动系统动力学特性的影响。文献 [18]在考虑时变啮合刚度，非线性油膜力等非线性因素影响下，建立了非线性时变的齿轮-转子-轴承传动系统的动力学模型，分析了非线性油膜力和动态啮合力对传动系统的影响规律。CHEN 等 [19] 应用分形理论将动态间隙和齿面修行相结合，对齿轮的动态性能进行了研究。并得出降低分形维数，减小啮合刚度的时变性和增加阻尼系数来提高齿轮传动系统的稳定性。HAN 等 [20] 在考虑旋转、俯仰以及偏航三种角运动的基础上研究了齿轮传动系统弯扭耦合的动态响应特性，并研究了传递误差以及不平衡质量对传动系统的影响。最后得出扭转运动对齿轮系统的动态特性有较大的影响。通过前面的文献研究可以看出，现有齿轮动力学模型大多数只是考虑啮合的齿轮副参数的影响，而忽略了支撑轴承、外部激励的时变性等非线性因素的影响。而考虑带偏心的斜齿轮-转子-轴承传动系统的弯-扭-轴耦合振动模型的文献也不多见。在总结前人经验的基础上，推导了考虑轴向力的角接触球轴承的动力学模型，并在计入综合传递误差、重力激励、齿轮偏心影响的基础上，建立了斜齿轮-转子-轴承传动系统的非线性动力学模型，研究了转速、齿轮偏心、轴承游隙等非线性参量变化对斜齿轮传动系统动力学特性的影响。 1 斜齿轮-转子-轴承系统模型…”

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Vibration Characteristic Analysis of Helical Gear-rotor-bearing System with Coupled Lateral-torsional-axial

闻邦椿¹,

Zhaohui²

2015

JME

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：In order to research the dynamical responses of high-speed class helical gear transmission system with the wind turbine, the nonlinear dynamical model coupled with lateral, torsional and shaft for helical gear-rotor-bearing transmission system is established including the time-varying input/output torque, gear eccentricity, synthetic mesh errors, gravity and the nonlinearity of bearing. The dynamics differential equation is deuced by using Lagrange's equation. On that basis, the dynamical characteristics with the effects of rotational speed, gear eccentricity, bearing clearance are analyzed. The simulation results reveal that the torsional vibration displacement is larger than those in lateral and shaft directions due to the influence of lateral-torsional-shaft coupled vibration, and the torsional vibration is the main vibration. With the increase of rotational speed, the vibration displacement increases obviously, the amplitudes of frequency exhibit significant fluctuation and the continuous spectrum components appear near the rotational frequency. The vibration responses of the system are significantly intensified with the increase gear eccentricity, which has deeper influence upon the vibration response in torsional direction than those other directions. The bearing clearance has not obviously effect on vibration response of the system, but the bearing has its own resonance frequency, and the effect of the variable stiffness frequency of the bearings on the system should be avoided during the system design. The research results lay a foundation for dynamical characteristics and fault diagnosis of the helical gear-rotor-bearing system of the wind turbine.

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Effects of eccentricity defect on the nonlinear dynamic behavior of the mechanism clutch-helical two stage gear

Cited by 29 publications

References 11 publications

Effect of the gear local damage and profile error of the gear on the drivetrain dynamic response

Effect of the gear local damage and profile error of the gear on the drivetrain dynamic response

The New Approach for Calculation of Total Mesh Stiffness and Nonlinear Load Distribution for Helical Gears

Vibration Characteristic Analysis of Helical Gear-rotor-bearing System with Coupled Lateral-torsional-axial

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