Modeling and experiment of grinding wheel axial profiles based on gear hobs

Hobbing is one of the crucial gear manufacturing processes with high precision and high efficiency. In order to improve the accuracy of hobbing and hob relief grinding, more precise grinding wheels are demanded for relief grinding in the production of gear hobs. In this paper, a new and accurate mathematical method for calculating the axial profile of grinding wheel based on the corresponding gear hob to be ground is proposed. Considering that most researches have been conducted to focus on the optimization of hob geometric feature and only can be applied to a specific type of hand of helix and rake angle of gear hobs. The method in this paper can be served as a general algorithm for generating axial profile of grinding wheels on the basis of the spatial envelope theory, the principle of coordinate system transformation, and studies on normal profile of single-tooth. The accuracy of grinding hobs is based on applying the approach in practical manufacturing. Taking two typical different kinds of pre-grinding gear hobs as examples for calculation and experiment, the results of tooth profile errors strengthen the position that the validity and feasibility of this method, it can be employed for gear hob design and grinding processing.     

螺旋锥齿轮齿面接触分析改进算法研究

针对现有齿面接触分析(TCA)的不足,提出了螺旋锥齿轮齿面接触分析的改进算法.基于空间曲面啮合原理、Enler-Rodrigues公式以及接触区几何形状的等量关系对齿面接触分析算法进行了改进,通过方程变换,减少了求解接触点位置的非线性方程组维数,由啮合方程求得到初值选取计算公式,使初始值求解有规律可循.以一对弧齿锥齿轮为例,对算法进行了对比分析与验证,结果表明:改进的齿面接触分析算法可减少求解非线性方程组时初值选取的繁复性与增强非线性方程组迭代求解的稳定性;并利用几何等量关系求解接触区几何参数,能避免求解复杂的齿面相对曲率等二阶几何参数.      

各型封严蓖齿的换热研究

本文通过实验测量了不同齿间隙和不同来流雷诺数直通式直齿、直通式斜齿以及台阶式直齿的换热情况,并从机理上分析了结构和流动参数对换热的影响规律。为便于实际应用,本文还根据实验数据给出了相应的关系式。      

基于电子展成原理的直齿锥齿轮齿形误差测量

针对传统基于接触印痕检验的直齿锥齿轮齿形误差检测方法存在的难以定量描述几何误差、量值溯源性差等缺点,提出一种基于电子展成原理的直齿锥齿轮齿形误差测量与评定方法,首先建立了直齿锥齿轮的理论齿形及齿形误差测量的数学模型,然后在基于全闭环交流伺服控制系统的齿轮测量中心上,控制传感器测头在空间扫描形成直齿锥齿轮的理论齿形曲线,依据连续扫描过程中的传感器读数对直齿锥齿轮的齿形误差进行测量与评定。结果表明,该方法可在现有CNC齿轮测量中心上实现直齿锥齿轮齿形误差的自动测量与评定,具有测量效率与自动化程度高、量值溯源性好等显著优点。     

Effects of tooth bending damage on the leakage performance and rotordynamic coefficients of labyrinth seals

Tooth bending damage resulting from an intense impact by the rotor sometimes occurs in the transient operation. To investigate the influence of after-damage clearance and tooth bending length on the leakage performance and rotordynamic coefficients of labyrinth seals, three tooth bending damages were taken into consideration, including the unbent tooth damage (abbreviated as Unbent), the partial tooth bending damage (abbreviated as Pbent) and the complete tooth bending damage (abbreviated as Cbent). The transient CFD solution was utilized to calculate the leakage flow rates and rotordynamic coefficients of labyrinth seals with clearances of 0.3, 0.4, 0.5, 0.6 mm for three tooth bending damages. The obtained result shows that the Unbent tooth damage leaks least while the Pbent tooth bending damage leaks most, and an increase of 6.1% for Cbent tooth bending damage and an increase of 19.4% for Pbent tooth bending damage are discovered at the tooth clearance of 0.6 mm in comparison with the Unbent tooth damage. Compared to the Unbent tooth damage, the effective damping for Pbent tooth bending damage and Cbent tooth bending damage is lower and drops by 9.7%–33.6% and 8.5%–22.6% respectively at the tooth clearance of 0.6 mm, suggesting that Pbent tooth bending damage or Cbent tooth bending damage tends to weaken the seal stability when compared to the Unbent tooth damage.     

Design and analysis of spiral bevel gears with seventh-order function of transmission error

This paper proposes a new approach to mial function of transmission error （TE） for spiral design and implement a seventh-order polyno- bevel gears with an aim to reduce the running vibration and noise of gear drive and improve the loaded distribution of the tooth. Based on the constraint conditions of predesigned seventh-order polynomial function curve and the theory of linear algebra, the polynomial coefficients of the seventh-order polynomial function of transmission error can be obtained. By applying a method named reverse tooth contact analysis, the modified roll coefficients as well as parts of machine-tool settings for the face-milling of spiral bevel gears can be individually determined. Therefore, a predesigned seventh-order polynomial function of transmission error for spiral bevel gears can be obtained by the modified roll with high-order coef- ficients, and comparisons of the seventh-order polynomial and parabolic functions of transmission error are also performed. The achievement of spiral bevel gears with the seventh-order function of transmission error can be accomplished on a universal Cartesian-type hypoid gear generator or a numerically controlled cradle-style hypoid gear generator due to its simple generating motion of axes of the cradle and the work piece. The results of a numerical example show that the bending stresses of the tooth of seventh-order are less than those of a parabolic one, while the contact stresses remain almost eouivalent.