齿轮传动中啮合冲击的计算分析

在文献[1]所建立的齿轮传动啮合冲击动力学模型的基础上,通过理论分析并编制相应的分析程序,计算了渐开线直齿轮传动中啮入冲击力、冲击速度的变化情况,分析了传动比、模数、载荷等对齿轮传动中冲击力的影响情况。结果表明：(1)随着传动比的增大,齿轮传动中的冲击力随之降低;(2)模数增大,使得轮齿之间的冲击力增大;(3)在其他条件不变时,载荷增大将导致冲击力增大;(4)载荷和速度相比,速度对冲击力的影响较大。     

零齿差内啮合齿轮副效率分析

根据零齿差内啮合齿轮副的啮合特点,同时引入了自转和公转的比值,并根据值大小的不同,计算出了不同的瞬时效率.通过确定实际啮合段,在齿廓上进行曲线积分,得到了平均啮合效率.此外,对16种运动方式进行分析,可以得到各种运动方式下的平均啮合效率.在MATLAB中对平均啮合效率公式进行了分析,得到了各个参数对平均啮合效率的影响.     

对数螺旋锥齿轮啮合模型的建立及有限元分析的基本思想

对于一种新型锥齿轮—对数螺旋锥齿轮,研究其啮合模型在Pro/E中的建立方法。由于其齿向线是圆锥对数螺旋线,提出了一种新的建模方法,包括三个创新点:利用夹角为的两条圆锥对数螺旋线来确定齿廓曲线的空间位置,使渐开线得以精确定位;将盘绕在节锥曲面上的圆锥对数螺旋线作为扫引轨迹线,保证齿形的准确性;扫描混合截面建立在扫引线的法面内,使轮齿各点法面内的齿形均是标准齿形。在此基础上应用有限元理论的基本思想对啮合模型作了一些运算研究,进一步分析对数螺旋锥齿轮啮合传动过程中的相关特性,进而为该种新型锥齿轮的设计和应用提供理论依据。     

摆线减速器轮齿啮合的数学模型及求解

以非赫兹弹性接触问题对齿轮传动轮齿啮合进行研究,建立起了新的摆线针轮单齿啮合的柔度矩阵数学模型,并结合摆线减速器针齿修形计算,重点讨论了通过计算机编程,正确求解这一数学模型的方法。     

Contact finite element method for dynamic meshing characteristics analysis of continuous engaged gear drives

The dynamic meshing characteristics of gear drives have been a major concern in the design of power transmission systems as they affect vibration, acoustic noise, durability and efficiency. Gaining a more comprehensive understanding of the dynamic meshing characteristics of continuous engaged gear drives is a key to the development of power transmission systems. In this paper, a dynamic contact finite element analysis method, considering the variation of the engaged teeth pairs, the loaded elastic and contact deformations, and the sliding friction, is presented for the dynamic meshing characteristics analysis of continuous and elastic engaged gear drives. Various kinds of continuous engaged gear models under low and high speed condition are simulated and compared using the presented method. The tooth profile modification was designed based on the simulation results. Moreover, the effects of the tooth profile modification, the sliding friction and the time-varying meshing stiffness upon the dynamic meshing characteristics of continuous engaged gear drives are discussed in detail. The results show that the method is not only effective in designing and evaluating the tooth profile modification, but also in studying the dynamic meshing characteristics of continuous engaged gear drives with realistic time-varying meshing stiffness and tooth sliding friction. The present method could provide an effective tool for vibration mechanism study and dynamic design of the continuous engaged gear drives considering more influence factors.     

Rotational swashplate pulse continuously variable transmission based on helical gear axial meshing transmission

The current research on pulse continuously variable transmission(CVT) is mainly focused on reducing the pulse degree and making pulse degrees a constant value. Current research mainly confined to find out new design parameters by using the method of optimization, and reduce the pulse degree of pulse CVT and its range of variation. But the fact is that the reduction of the pulse degree is not significant. This article presents a new structure of mechanical pulse CVT-the rotational swashplate pulse CVT with driven by helical gear axial meshing. This transmission is simple and compact in structure and low in pulsatile rate (it adopts 6 guide rods), and the pulsatile degree is irrelevant to the transmission ratio. Theoretically, pulsatile rate could be reduced to zero if appropriate curved surface of the swashplate is used. Compared with the connecting rod pulse CVT, the present structure uses helical gear mechanism as transmission part and it avoids unbalanced inertial force in the former model. This paper analyzes the principle of driving of this transmission, presents its mechanical structure, and discusses its motion characteristics. Experimental prototype of this type of CVT has been manufactured. Tests for the transmission efficiency(when the rotational speed of the output shaft is the maximum) and the angular velocity of the output shaft have been carried out, and data have been analyzed. The experimental results show that the speed of the output shaft for the experimental prototype is slightly lower than the theoretical value, and the transmission efficiency of the experimental prototype is about 70%. The pulse degree of the CVT discussed in this paper is less than the existing pulse CVT of other types, and it is irrelevant to the transmission ratio of the CVT. The research provides the new idea to the CVT study.     

Load capacity of planetary transmission with internal gear engagement

An analytical method is proposed for determining the load capacity of a planetary transmission with internal gear engagement. The method is based on solving the compatibility equations of the displacement of the engaged teeth.     

Meshing principle and characteristics analysis of an abnormal cycloidal internal gear transmission

Journal of Mechanical Science and Technology - A novel 2K-H internal meshing abnormal cycloidal gear (ACG) planetary reducer is proposed to tackle the rotor vector (RV) reducer problems, such as...     

Mathematical model of a helical gear with asymmetric involute teeth and its analysis

This paper describes a simple approach based on the gear theory for deriving a helical gear with asymmetric involute teeth. A helical gear with asymmetric involute teeth can be easily obtained through the envelope theory for the one-parameter family of surfaces. The mathematical models for asymmetric helical gears can be provided by the application of two imaginary rack cutters. The investigation on the undercutting analysis of the asymmetric helical gear is studied based on the developed mathematical model and the method of tooth-profile shifting. Here we provide geometric modeling of the designed asymmetric helical gear meshing when assembly errors are present. Stress analysis for the helical and the cylindrical forms are constructed. To illustrate the effectiveness of the approach, an analytical expression of helical gear with asymmetric involute teeth is given.     

Mathematical model of a helical gear with asymmetric involute teeth and its analysis

This paper describes a simple approach based on the gear theory for deriving a helical gear with asymmetric involute teeth. A helical gear with asymmetric involute teeth can be easily obtained through the envelope theory for the one-parameter family of surfaces. The mathematical models for asymmetric helical gears can be provided by the application of two imaginary rack cutters. The investigation on the undercutting analysis of the asymmetric helical gear is studied based on the developed mathematical model and the method of tooth-profile shifting. Here we provide geometric modeling of the designed asymmetric helical gear meshing when assembly errors are present. Stress analysis for the helical and the cylindrical forms are constructed. To illustrate the effectiveness of the approach, an analytical expression of helical gear with asymmetric involute teeth is given.     

变速传动下的齿轮啮合力计算仿真研究

齿轮啮合力是计算齿轮零件强度、刚度和疲劳寿命的重要参数.通过建立传动系统的力学模型,以Hertz弹性碰撞理论为基础,建立在变速条件下的计算机仿真模型.最后给出某型机械压力机传动系统的计算实例.根据仿真结果可知,在加速条件下,齿轮啮合力随着速度呈指数增长,且指数随着加速度的增加而增大.     

基于ABAQUS的三环减速器多齿啮合效应分析

为了研究三环减速器的多齿啮合效应问题,从而找出三环减速器实际承载能力远高于理论承载能力的原因,根据相关力学理论,借助大型非线性有限元分析软件ABAQUS,合理建立了三环减速器主传动部分的平面有限元模型,并在不同工况下,对三环减速器的复杂非线性接触问题进行有限元分析,得到了传动过程中的实际啮合齿数及各啮合齿的应力情况,为充分发挥三环减速器的高承载能力提供了理论依据,并为三环减速器的设计提供指导。     

啮合力移动速度对轮齿变形影响的有限元分析

运用有限元方法对轮齿的低阶固有频率进行了分析。计算了一定载荷条件下的轮齿在不同的齿对啮合时间下的动态位移响应，并与对应啮合位置的轮齿静态变形进行了比较。结果表明，轮齿具有较高的固有频率，在一般转速下，啮合力沿齿廓移动速度的大小对轮齿变形的影响很小，可以忽略不计。因此，静态条件下轮齿刚度的研究成果可应用于齿轮传动的动态变形计算中。     

Transmission of point-line meshing gear

Point-line meshing gear is a new type of meshing transmission. It possesses the merit of involute gear that can be manufactured easily and separately. It also possesses the feature of high contact strength of arc gear wheel. Thus it has greater power, lower noise, and higher efficiency to bear the weight. Not only has single point-line meshing gear (similar to single arc gear wheel) and double point-line meshing gear (similar to double arc gear wheel) been developed, but also a small tooth number of point-line meshing gear which can be only two or three. In this article, the meshing theory, design calculation, sealing graph of the parameter selection, manufacturing, bearing ability test and the example of its applications in various places are introduced. The point-line meshing gear can be processed in common works, which process the ordinary involute gears, such as rolling tooth processing and milling tooth processing.     

Simulation study on dynamics of cylindrical gear meshing with the evolution meshing stiffness

Simulation study on the cylindrical gear meshing with the evolution gear meshing stiffness is being done for better understanding the dynamic characteristics of the kinematics.With consideration of damping,bearing clearance and gear backlash nonlinearity,the dynamic model is set up and computed in MATLAB.The analysis about the relationship between the kinematic responses and the meshing stiffness are carried out.And the results showed that as the gear mesh stiffness is changed from small to large,the performance of the system is changed from the harmonic stable periodic motion to with one times,two times,four times,ending chaos of the stability of the bifurcation.The research results would have theoretical guidance value for the fault diagnosis in engineering.     

大模数大直径内啮合齿轮精确成形方法的研究

大模数大直径内啮合齿轮的加工，目前在国内是一个急待解决的难题。为了解决这个难题，本文对大模数大直径内啮合齿轮精确成形方法进行研究。首先对内齿轮的一种齿形进行啮合理论分析，同时根据共轭原理求出与其相啮合的外齿轮齿形，并且将求出的外齿轮齿形与渐开线齿形进行比较，然后对该内啮合传动进行啮合性能分析及干涉校核。通过分析计算及实验，结果表明，大模数大直径内啮合齿轮的这种精确成形方法比其它方法要好。     

Mathematical model of S-shaped gear surface

Journal of Mechanical Science and Technology - In this study, an imaginary S-shaped surface rack cutter was used to create a gear pair with S-shaped surface. First, a mathematical model of the...     

齿轮基本参数对内啮合效率影响的研究

齿轮基本参数的确定在齿轮设计中具有非常重要的意义.传统的齿轮机构设计以满足强度和寿命理论为原则,忽略了齿轮参数对内啮合效率的影响.对渐开线直齿圆柱齿轮内啮合齿廓啮合过程进行分析,推导出内啮合效率的计算公式,并在此基础上利用MATLAB编程研究齿轮基本参数对内啮合效率的影响.为内啮合齿轮传动机构设计中基本参数的选择提供参考依据.     

基于啮合过程的渐开线直齿圆柱齿轮接触应力分析

根据轮齿齿廓的数学模型,在ANSYS环境下建立了齿轮的平面有限元模型,运用完全牛顿-拉普森方法基于啮合过程对其进行接触应力的静力学求解.结果表明:通过ANSYS软件分析的结果与真实情况很接近,证明了接触单元法的精确性、有效性和可靠性.     

点线啮合齿轮点蚀的失效分析

简要介绍了新型的点线啮合齿轮，并就点线啮合齿轮在实际应用中所遇到的点蚀情况进行了分析，并最终提出了解决方法和改进措施。