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Proceedings of the Institution of Mechanical Engineers Part K-Journal of Multi-Body Dynamics最新文献

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Nonlinear dynamic characteristics analysis method of planetary gear train torsional vibration considering meshing oil film force 考虑啮合油膜力的行星齿轮系扭转振动非线性动态特性分析方法
IF 1.8 4区 工程技术 Q3 ENGINEERING, MECHANICAL Pub Date : 2024-08-22 DOI: 10.1177/14644193241274204
Shi Wu, Mingzhu Wang, Weidong Zhu
Planetary gear train is an important part of automatic transmission. The oil film between teeth is one of the key factors affecting the torsional vibration of planetary gear train. Selecting the appropriate oil film stiffness is of great significance for analyzing the nonlinear dynamic characteristics of planetary gear train. A method for analyzing the nonlinear dynamic characteristics of planetary gear system torsional vibration considering the oil film force between teeth is proposed in this paper. A 3-DOF torsional vibration model of planetary gear train considering oil film is established. In this model, the oil film between teeth is equivalent to a time-varying nonlinear spring-damper element, and nonlinear factors such as backlash and meshing error are also considered. The effects of meshing oil film thickness on oil film stiffness and damping are analyzed, and the torsional vibration characteristics of planetary gear train under different meshing stiffness, meshing damping ratio, and rotational speed are analyzed based on bifurcation diagrams. The results show that in one meshing cycle, the meshing oil film thickness first becomes larger and then becomes smaller. When the meshing oil film thickness increases, the meshing oil film stiffness and the equivalent meshing oil film damping become smaller. The torsional vibration of planetary gear train can be effectively reduced by increasing meshing stiffness, damping ratio, rotational speed within a certain range. This method provides technical support for reducing torsional vibration of planetary gear train and realizing stable transmission of planetary gear train.
行星齿轮系是自动变速器的重要组成部分。齿间油膜是影响行星齿轮系扭转振动的关键因素之一。选择合适的油膜刚度对于分析行星齿轮系的非线性动态特性具有重要意义。本文提出了一种考虑齿间油膜力的行星齿轮系扭转振动非线性动态特性分析方法。建立了考虑油膜的行星齿轮系 3-DOF 扭转振动模型。在该模型中,齿间油膜相当于一个时变非线性弹簧-阻尼元件,同时还考虑了反向间隙和啮合误差等非线性因素。分析了啮合油膜厚度对油膜刚度和阻尼的影响,并根据分岔图分析了行星齿轮系在不同啮合刚度、啮合阻尼比和转速下的扭转振动特性。结果表明,在一个啮合周期内,啮合油膜厚度先变大后变小。当啮合油膜厚度增加时,啮合油膜刚度和等效啮合油膜阻尼变小。在一定范围内提高啮合刚度、阻尼比和转速,可以有效降低行星齿轮系的扭转振动。该方法为降低行星齿轮传动系统的扭转振动,实现行星齿轮传动系统的稳定传动提供了技术支持。
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引用次数: 0
Dynamic modelling and experimental validation of a dynamic track stabiliser vehicle–track spatially coupling dynamics system 动态轨道稳定器车轨空间耦合动力学系统的动态建模和实验验证
IF 1.8 4区 工程技术 Q3 ENGINEERING, MECHANICAL Pub Date : 2024-08-16 DOI: 10.1177/14644193241271763
Meng Lin, Chunjun Chen, Ji Deng, Huijie Qin
A dynamic track stabiliser vehicle is an unconventional vehicle for maintaining the quality of ballasted tracks, and its dynamic performance has a significant impact on its working efficiency. For the first time, this paper proposes a comprehensive dynamic track stabiliser vehicle–track coupled vertical and lateral multi-body dynamics model based on classical vehicle–track coupling dynamics theory. In this model, detailed attention is given to the vertical, lateral, roll, yaw, and pitch motions of the components, including the vehicle body, bogies, wheelsets and stabilisers. The Shen–Hedrick–Elkins theory is employed to describe non-linear wheel–rail contact relationships between the bogie wheelsets and the rails, and three various methodologies are adopted to address complicated wheel–rail interaction problems between the stabiliser wheelsets and the rails. This comprehensive multi-body dynamics model enables a detailed investigation of the dynamic performance of the system under complex excitations, such as the lateral excitation of the stabilisers and vertical downward pressure exerted by hydraulic cylinders, especially the dynamic response of the stabilisers in the vibration environment of the complete vehicle. The dynamics model was fully validated by comparing its results with time- and frequency-domain data obtained from field tests. The results indicate that the model is capable of being used for analysis of the dynamic performance of dynamic track stabiliser vehicles.
动态轨道稳定器车辆是一种用于维护有砟轨道质量的非常规车辆,其动态性能对其工作效率具有重要影响。本文基于经典的车辆-轨道耦合动力学理论,首次提出了一个全面的动态轨道稳定器车辆-轨道垂直和横向耦合多体动力学模型。在该模型中,详细关注了车体、转向架、轮对和稳定器等部件的垂直、横向、滚动、偏航和俯仰运动。采用 Shen-Hedrick-Elkins 理论来描述转向架轮副与钢轨之间的非线性轮轨接触关系,并采用三种不同的方法来解决稳定器轮副与钢轨之间复杂的轮轨相互作用问题。这种全面的多体动力学模型能够详细研究系统在复杂激励下的动态性能,如稳定器的横向激励和液压缸施加的垂直向下压力,特别是稳定器在整车振动环境下的动态响应。通过将动力学模型的结果与现场测试获得的时域和频域数据进行比较,对该模型进行了全面验证。结果表明,该模型可用于分析动态轨道稳定器车辆的动态性能。
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引用次数: 0
Support vector machine-based optimisation of traction gear modifications for multiple-condition electric multiple unit 基于支持向量机的多工况电动多联机组牵引齿轮箱改造优化方案
IF 1.8 4区 工程技术 Q3 ENGINEERING, MECHANICAL Pub Date : 2024-07-23 DOI: 10.1177/14644193241261899
Zhaoping Tang, Menghui Lu, Song Tu, Jianping Sun, Li Yan
The traction gear train is subjected to various internal excitations under different traction conditions, such as stiffness excitation, error excitation, meshing shock excitation, and tooth side clearance. The optimal modification scheme is different for each state, and the optimal modification plan based on a single working condition may not be applicable to every working condition. In this paper, we investigate the vibration response characteristics of electric multiple unit gearing under multiple conditions and propose a multi-condition modification scheme. Under different traction conditions, the mapping between gear modification parameters and vibration acceleration in gear transmissions is investigated using support vector machines. Genetic algorithms are used to solve the gear-modifying parameters to minimise the maximum vibration acceleration. A weight assignment principle is proposed to calculate the electric multiple unit traction gear transmission under different conditions, with the operating time and the amount of vibration in each condition as the measurement index. The results of the simulation show that the vibration acceleration under continuous conditions is reduced by 3.55 m/s2, a decrease of 69.88%; the vibration acceleration under high-speed conditions is reduced by 3.301 m/s2, a reduction of 58.74%, and the results show that the overall index of the electric multiple unit traction gear transmission system under different conditions has been improved after the optimisation of the multi-conditions modification, the gear transmission system's vibration is significantly reduced.
在不同的牵引条件下,牵引齿轮系会受到各种内部激励,如刚度激励、误差激励、啮合冲击激励和齿侧间隙等。每种状态下的最优修正方案都不同,基于单一工况的最优修正方案不一定适用于每种工况。本文研究了多工况下电动多联齿轮箱的振动响应特性,并提出了多工况修正方案。在不同的牵引条件下,使用支持向量机研究了齿轮变速器中齿轮修改参数与振动加速度之间的映射关系。利用遗传算法求解齿轮修改参数,以最小化最大振动加速度。提出了权重分配原则,以运行时间和各工况下的振动量为测量指标,计算不同工况下的电动多单元牵引齿轮传动装置。仿真结果表明,连续工况下的振动加速度降低了 3.55 m/s2,降低了 69.88%;高速工况下的振动加速度降低了 3.301 m/s2,降低了 58.74%,结果表明,多工况优化改造后,不同工况下的电动多单元牵引齿轮传动系统的整体指标得到了提高,齿轮传动系统的振动明显降低。
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引用次数: 0
Rigid-flexible coupling dynamic modelling and dynamic accuracy analysis of planar cam four-bar mechanism with multiple clearance joints 带多个间隙接头的平面凸轮四杆机构的刚柔耦合动态建模和动态精度分析
IF 1.8 4区 工程技术 Q3 ENGINEERING, MECHANICAL Pub Date : 2024-07-23 DOI: 10.1177/14644193241264076
Zhan Wei, Zanyong Wang, Dandan Li, Dong Liang
Combination mechanism of conjugate cam and four-bar is a complex type of multi-body system, in which the coupling problems such as cam profile law, flexible deformation of connecting rods, and multiple joint clearance collision make it difficult to model and optimise its dynamics. Just as the beating-up mechanism of high-speed rapier looms for multi-layer weaving is a representative conjugate cam four-bar mechanism. In response to the current development of textile machinery in the direction of high-speed and precision, and in order to improve the work efficiency and operational accuracy of the conjugate cam four-bar beating-up mechanism, the following work is done for the purpose of taking into account the multi-joint clearance and the flexible rod based on the mechanism. Firstly, based on Kane's equation, a multi-body dynamic model with multiple clearances is established combined with clearance collision theory. Secondly, a dynamic model of a rigid-flexible coupling system with multiple revolute clearances is established using finite element method combined with modal synthesis technology. Subsequently, the variables separation method and mode superposition method are used to solve the dynamic equations of the coupled system. Finally, numerical examples are used to analyse the effects of clearance quantity, clearance size, mode truncation order, cam speed, and component material properties on the dynamic response and accuracy of the system. The results show that, in the rotational speed range of 600–800 rpm, the dynamic performance of the system is little affected by the speed; Through comparative analysis of multiple materials, it is found that selecting carbon fibre composite materials has the smallest impact on the motion accuracy of the system. In this paper, the clearance collision model, finite element model and rigid-flexible coupling dynamic model are integrated, which are applied to the cam-linkage combined multi-body mechanism, and the dynamic problems of the actual machine are analysed and solved.
共轭凸轮和四杆的组合机构是一种复杂的多体系统,其中凸轮轮廓规律、连杆柔性变形、多关节间隙碰撞等耦合问题使其动力学建模和优化变得困难。正如用于多层织造的高速剑杆织机的打纬机构就是一个具有代表性的共轭凸轮四杆机构。针对当前纺织机械向高速化、精密化方向发展的现状,为了提高共轭凸轮四杆打纬机构的工作效率和运行精度,在考虑多关节间隙和弹性杆的基础上,对该机构进行了以下工作。首先,根据凯恩方程,结合间隙碰撞理论,建立了具有多重间隙的多体动力学模型。其次,利用有限元法结合模态合成技术,建立了具有多重转轴间隙的刚柔耦合系统动态模型。随后,采用变量分离法和模态叠加法求解耦合系统的动态方程。最后,利用数值实例分析了间隙数量、间隙大小、模态截断阶数、凸轮速度和部件材料特性对系统动态响应和精度的影响。结果表明,在 600-800 rpm 的转速范围内,系统的动态性能受转速的影响很小;通过多种材料的对比分析,发现选择碳纤维复合材料对系统运动精度的影响最小。本文集成了间隙碰撞模型、有限元模型和刚柔耦合动力学模型,并将其应用于凸轮连杆组合多体机构,对实际机器的动力学问题进行了分析和求解。
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引用次数: 0
Influence of temperature on dynamic contact characteristics of oil-jet lubricated rolling bearings 温度对喷油润滑滚动轴承动态接触特性的影响
IF 1.8 4区 工程技术 Q2 Engineering Pub Date : 2024-05-27 DOI: 10.1177/14644193241257207
Wenbing Tu, Hao Wang, Chenlu Liu, Dengliang Hu, Wennian Yu
The temperature variation alters the contact state of each component during the operating process of oil-jet lubricated rolling bearings, which directly affects the dynamic performance of the bearing. However, previous studies on the dynamics of oil-jet lubricated rolling bearings do not comprehensively consider the influence of temperature factors. In addition, the impact of the temperature on the dynamic contact characteristics of the bearing is rarely investigated. To fill these gaps, this study develops a finite element model based on the mechanism of heat generation and transfer of the bearing to simulate the bearing temperature field and obtain the temperature of various components. On this basis, a dynamic model of an oil-jet lubricated axle box bearing is established to explore the influence of the radial clearance, internal temperature of the axle box and lubricating oil temperature on the contact force between the race and the rolling body by considering the influence of temperatures on the thermal deformation, lubricating oil parameters and equivalent stiffness. It was found that the influence of the temperature on bearings is primarily manifested in the elastic modulus, lubricating oil viscosity, oil film thickness, equivalent stiffness and thermal deformation. The contact force between the rolling body and the race increases significantly when the lubricating oil temperature is high, which may result in bearing pitting failure. These analysis results can provide a theoretical foundation for bearing parameter design and life research.
在喷油润滑滚动轴承的运行过程中,温度变化会改变各部件的接触状态,从而直接影响轴承的动态性能。然而,以往对喷油润滑滚动轴承动态性能的研究并未全面考虑温度因素的影响。此外,也很少研究温度对轴承动态接触特性的影响。为了填补这些空白,本研究根据轴承的发热和传热机理建立了有限元模型,以模拟轴承温度场并获得各部件的温度。在此基础上,建立了喷油润滑轴箱轴承的动态模型,通过考虑温度对热变形、润滑油参数和等效刚度的影响,探讨了径向游隙、轴箱内部温度和润滑油温度对滚道与滚动体接触力的影响。研究发现,温度对轴承的影响主要体现在弹性模量、润滑油粘度、油膜厚度、等效刚度和热变形上。当润滑油温度较高时,滚动体与滚道之间的接触力明显增加,可能导致轴承点蚀失效。这些分析结果可为轴承参数设计和寿命研究提供理论依据。
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引用次数: 0
Nonlinear dynamic meshing force analysis of PEEK-based polymer composite involute spline coupling system 基于 PEEK 的聚合物复合渐开线花键耦合系统的非线性动态啮合力分析
IF 1.8 4区 工程技术 Q2 Engineering Pub Date : 2024-04-18 DOI: 10.1177/14644193241245542
Xiangzhen Xue, Wei Yu, Kuan Lin, Ning Zhang, Xindang He, Yiqiang Jiang
The dynamic meshing force affects the stability and wear life of PEEK polymer composite involute spline couplings, but most of the dynamic meshing force is obtained by empirical formula, and there is no effective calculation method in practice. Aiming at the viscoelasticity and nonlinear behavior of PEEK material, this work established a nonlinear dynamic model of the drive system of PEEK-based polymer composite involute spline pair by using the concentrated mass method, taking into account time-varying meshing stiffness, tooth side gap, and comprehensive transmission error, and obtained a dimensionless dynamic matrix that eliminates rigid body displacement. Aiming at the thermal stability of PEEK material, the dynamic meshing stiffness and dynamic meshing force of the involute spline of PEEK-based polymer composite were calculated by considering the thermal effect of misalignment and meshing deformation. The influence of misalignment on the dynamic characteristics of the system under dynamic and static loads was studied. The results show that the dynamic meshing stiffness and dynamic meshing force of involute spline coupling of PEEK-based polymer composite materials under misalignment represent complex nonlinear characteristics; Vibration, load, and viscoelastic deformation have an impact on transmission accuracy and efficiency; And the optimal selection range for friction coefficient, Poisson's ratio, and Young's modulus were determined within the parameter range of involute spline coupling of PEEK-based polymer composite materials as the matrix. It provides a theoretical foundation for designing high-performance, high-precision, and highly reliable PEEK-based polymer composite components.
动态啮合力影响 PEEK 高分子复合材料渐开线花键联轴器的稳定性和磨损寿命,但动态啮合力大多通过经验公式求得,在实际应用中并没有有效的计算方法。针对 PEEK 材料的粘弹性和非线性行为,本研究采用集中质量法建立了 PEEK 基聚合物复合渐开线花键副驱动系统的非线性动力学模型,考虑了时变啮合刚度、齿侧间隙和综合传动误差,得到了消除刚体位移的无量纲动力学矩阵。针对 PEEK 材料的热稳定性,考虑错位和啮合变形的热效应,计算了 PEEK 基聚合物复合材料渐开线花键的动态啮合刚度和动态啮合力。研究了在动态和静态载荷下错位对系统动态特性的影响。结果表明:PEEK 基高分子复合材料渐开线花键联轴器在错位情况下的动态啮合刚度和动态啮合力表现出复杂的非线性特征;振动、载荷和粘弹性变形对传动精度和效率有影响;在以 PEEK 基高分子复合材料为基体的渐开线花键联轴器的参数范围内,确定了摩擦系数、泊松比和杨氏模量的最佳选择范围。这为设计高性能、高精度和高可靠性的 PEEK 基聚合物复合材料部件提供了理论基础。
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引用次数: 0
Experimental verification of active oscillation controller for vehicle drivetrain with backlash nonlinearity based on norm-limited SPSA 基于规范限制 SPSA 的具有反向间隙非线性的车辆传动系统主动振荡控制器的实验验证
IF 1.8 4区 工程技术 Q2 Engineering Pub Date : 2024-04-01 DOI: 10.1177/14644193241243158
Heisei Yonezawa, Ansei Yonezawa, Itsuro Kajiwara
To address vehicle drivetrain vibrations that cause discomfort and poor drivability, this study proposes a new active damping strategy with simple backlash compensation based on the simultaneous perturbation stochastic approximation (SPSA) with norm-limited update vector. First, an experimental device developed for a simplified drivetrain mechanism is demonstrated. A mechanism for reproducing both the contact mode and the backlash mode is included in the device. For the contact mode, a model-based [Formula: see text] controller is employed as the baseline damping strategy. Further, to mitigate the backlash effect, a simple algorithm based on mode-switching-based compensation is used with the [Formula: see text] controller. In particular, for the critical controller parameters, this article presents a systematic design approach to search for their optimal values. The key parameters, which are needed for the backlash and contact mode controllers, are simultaneously auto-tuned using norm-limited update vector-based SPSA, which ensures the stability in the iterative tuning. The novelty of this study is that both the backlash mode controller and the contact mode controller are simultaneously optimized by the improved version of SPSA, thus realizing a comprehensive auto-tuning design of an active drivetrain damping system. Finally, the active controller is experimentally verified using the actual test device. Comparative studies show that the proposed approach significantly reduces drivetrain vibrations and is robust against fluctuations in the backlash.
汽车动力传动系统的振动会给驾驶者带来不适感并降低驾驶性能,为解决这一问题,本研究基于同步扰动随机近似(SPSA)和规范限制更新向量,提出了一种具有简单反向间隙补偿的新型主动阻尼策略。首先,演示了为简化传动系统机构开发的实验装置。该装置中包含一个可重现接触模式和反向间隙模式的机制。对于接触模式,采用基于模型的[公式:见正文]控制器作为基准阻尼策略。此外,为减轻反向间隙效应,[公式:见正文] 控制器采用了基于模式切换补偿的简单算法。特别是对于关键的控制器参数,本文提出了一种系统的设计方法来寻找其最佳值。反向间隙和接触模式控制器所需的关键参数同时采用基于规范限制更新矢量的 SPSA 进行自动调整,从而确保了迭代调整的稳定性。本研究的新颖之处在于通过改进版 SPSA 同时优化了反冲模式控制器和接触模式控制器,从而实现了主动传动系减震系统的全面自动调谐设计。最后,利用实际测试设备对主动控制器进行了实验验证。对比研究表明,所提出的方法能显著降低传动系统的振动,并对反向间隙的波动具有鲁棒性。
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引用次数: 0
Multibody dynamic study and optimization for a flexible support shaft system in unmanned underwater vehicle 无人潜航器柔性支撑轴系统的多体动力学研究与优化
IF 1.8 4区 工程技术 Q2 Engineering Pub Date : 2024-03-13 DOI: 10.1177/14644193241238082
Yuchen An, Chaofan Liu, Jing Liu, Guang Pan
This paper presented a multibody dynamic model for the shaft system in an unmanned underwater vehicle (UUV), the model considers the flexible coupling, ball bearing and flexible support. The stiffness characteristics of flexible coupling are calculated by using the finite-element analysis. The effects of load condition, bearing location and support stiffness on shaft vibrations are investigated. Then, an optimization for the bearing locations and support stiffness is conducted. This study provides some guidance for the design and vibration optimization of the shaft system in UUVs.
本文提出了无人潜航器(UUV)轴系统的多体动力学模型,该模型考虑了弹性联轴器、球轴承和弹性支撑。通过有限元分析计算了弹性联轴器的刚度特性。研究了负载条件、轴承位置和支撑刚度对轴振动的影响。然后,对轴承位置和支撑刚度进行了优化。这项研究为 UUV 轴系统的设计和振动优化提供了一些指导。
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引用次数: 0
Design of a tracking controller for autonomous articulated heavy vehicles using a nonlinear model predictive control technique 利用非线性模型预测控制技术为自主铰接式重型车辆设计跟踪控制器
IF 1.8 4区 工程技术 Q2 Engineering Pub Date : 2024-03-07 DOI: 10.1177/14644193241232353
Tarun Sharma, Yuping He
This article proposes a design of a tracking controller for autonomous articulated heavy vehicles (AAHVs) using a nonlinear model predictive control (NLMPC) technique. Despite economic and environmental benefits in freight transportation, articulated heavy vehicles (AHVs) exhibit poor directional performance due to their large sizes, multi-unit vehicle configurations, and high centers of gravity (CGs). AHVs represent a 7.5 times higher risk of traffic accidents than single-unit vehicles (e.g. rigid trucks, cars, etc.) in highway operations. Human driver errors cause about 94% of traffic collisions. However, little attention has been paid to autonomous driving control of AHVs. To increase the safety of AHVs, we design a novel NLMPC-based tracking controller for an AHV, that is, a tractor/semi-trailer combination, and this tracking controller is distinguished from others with the feature of controlling both the lateral and longitudinal motions for both the leading and trailing units. To design the tracking controller, a new prediction AHV model is developed, which represents both the lateral and longitudinal dynamics of the vehicle and captures its rearward amplification feature over high-speed evasive maneuvers. With the proposed tracking controller, the AAHV tracks the predefined reference path and follows a planned forward-speed scheme. Co-simulation demonstrates the effectiveness and robustness of the proposed NLMPC tracking controller.
本文利用非线性模型预测控制(NLMPC)技术,提出了自主铰接式重型车辆(AAHV)跟踪控制器的设计方案。尽管铰接式重型车辆(AHVs)在货物运输中具有经济和环境效益,但由于其体积庞大、多单元车辆配置和高重心(CGs),其定向性能较差。在高速公路运营中,铰接式重型车辆发生交通事故的风险是单单元车辆(如硬质卡车、轿车等)的 7.5 倍。人为驾驶失误造成的交通碰撞事故约占 94%。然而,人们很少关注自动衡器车的自动驾驶控制。为了提高自动驾驶汽车的安全性,我们为自动驾驶汽车(即牵引车/半挂车组合)设计了一种基于 NLMPC 的新型跟踪控制器。为了设计跟踪控制器,开发了一个新的预测 AHV 模型,该模型同时代表了车辆的横向和纵向动态,并捕捉到了车辆在高速规避机动时的后向放大特性。利用所提出的跟踪控制器,AAHV 可跟踪预定的参考路径,并遵循计划的前进速度方案。联合仿真证明了所提出的 NLMPC 跟踪控制器的有效性和鲁棒性。
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引用次数: 0
Research on load-sharing characteristics of six-branch herringbone gear transmission system 六分支人字齿轮传动系统负载共享特性研究
4区 工程技术 Q2 Engineering Pub Date : 2023-11-09 DOI: 10.1177/14644193231211233
Linlin Liu, Sanmin Wang, Haoran Zou, Zhibin Li, Jinshuai Ge
With the continuous development of high-speed and high-power gear transmission technology, as well as the new demand for vibration and noise reduction in high-speed and heavy-duty gear transmission systems in fields such as aviation and navigation, the herringbone gear branch transmission system is subject to higher requirements in terms of its dynamic characteristics. Therefore, it is necessary to conduct research on the dynamic characteristics of high-power and high-torque herringbone gear branch transmission systems. Based on the lumped parameter method, a bending-torsion coupling dynamic model of the transmission system is established, and a calculation method for load-sharing coefficients (LSCs) is proposed. The LSCs are obtained for each gear pair in the same meshing period of the transmission system that is under the interaction of time-varying internal excitation. The meshing force of the six-branch gearing system was calculated in ADAMS to verify the validity of the established dynamic model. The study results indicate that errors have a negative impact on the sharing performance. To maintain a sharing coefficient below 1.15, the manufacturing and installation errors of gears Z 5 and Z 6 should be restricted to 9 µm and 7 µm, respectively. Special attention should be given to gear Z 5 in terms of support stiffness, with a value of 1 × 10 8 N/m being the most favorable. During the system design, the initial phase of the installation error should be considered and preferably selected near 180°. Additionally, the system exhibits easier load sharing with higher input power. The optimal torsional stiffness of the duplex shaft is 5 × 10 7 N/m, while the optimal bending stiffness is 5 × 10 8 N/m. This study aimed to provide a theoretical foundation for the design and optimization of marine high-power gear transmission systems.
随着高速、大功率齿轮传动技术的不断发展,以及航空、航海等领域对高速、重型齿轮传动系统减振降噪的新需求,对人字齿轮分支传动系统的动态特性提出了更高的要求。因此,有必要对大功率大扭矩人字齿轮分支传动系统的动态特性进行研究。基于集总参数法,建立了传动系统弯扭耦合动力学模型,提出了一种载荷分担系数的计算方法。得到了在时变内激励作用下传动系统同一啮合周期内各齿轮副的LSCs。在ADAMS中计算了六支齿轮传动系统的啮合力,验证了所建立动力学模型的有效性。研究结果表明,误差对共享性能有负向影响。为了保持共享系数低于1.15,齿轮z5和齿轮z6的制造和安装误差应分别限制在9µm和7µm。在支承刚度方面应特别注意齿轮z5,其值为1 × 10 8 N/m是最有利的。在系统设计时,应考虑初始阶段的安装误差,最好选择在180°附近。此外,该系统具有较高的输入功率,更容易分担负载。双轴的最优扭转刚度为5 × 10 7 N/m,最优弯曲刚度为5 × 10 8 N/m。本研究旨在为船用大功率齿轮传动系统的设计与优化提供理论依据。
{"title":"Research on load-sharing characteristics of six-branch herringbone gear transmission system","authors":"Linlin Liu, Sanmin Wang, Haoran Zou, Zhibin Li, Jinshuai Ge","doi":"10.1177/14644193231211233","DOIUrl":"https://doi.org/10.1177/14644193231211233","url":null,"abstract":"With the continuous development of high-speed and high-power gear transmission technology, as well as the new demand for vibration and noise reduction in high-speed and heavy-duty gear transmission systems in fields such as aviation and navigation, the herringbone gear branch transmission system is subject to higher requirements in terms of its dynamic characteristics. Therefore, it is necessary to conduct research on the dynamic characteristics of high-power and high-torque herringbone gear branch transmission systems. Based on the lumped parameter method, a bending-torsion coupling dynamic model of the transmission system is established, and a calculation method for load-sharing coefficients (LSCs) is proposed. The LSCs are obtained for each gear pair in the same meshing period of the transmission system that is under the interaction of time-varying internal excitation. The meshing force of the six-branch gearing system was calculated in ADAMS to verify the validity of the established dynamic model. The study results indicate that errors have a negative impact on the sharing performance. To maintain a sharing coefficient below 1.15, the manufacturing and installation errors of gears Z 5 and Z 6 should be restricted to 9 µm and 7 µm, respectively. Special attention should be given to gear Z 5 in terms of support stiffness, with a value of 1 × 10 8 N/m being the most favorable. During the system design, the initial phase of the installation error should be considered and preferably selected near 180°. Additionally, the system exhibits easier load sharing with higher input power. The optimal torsional stiffness of the duplex shaft is 5 × 10 7 N/m, while the optimal bending stiffness is 5 × 10 8 N/m. This study aimed to provide a theoretical foundation for the design and optimization of marine high-power gear transmission systems.","PeriodicalId":54565,"journal":{"name":"Proceedings of the Institution of Mechanical Engineers Part K-Journal of Multi-Body Dynamics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-11-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135242614","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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Proceedings of the Institution of Mechanical Engineers Part K-Journal of Multi-Body Dynamics
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