AbstractTransmission errors are considered as the main source of vibration and noise of  gear drives.  The impact of two main functions of transmission errors on noise is investigated: (i)  a  linear one, caused by errors of alignment, and (ii)  a  predesigned parabolic function of transmission errors, applied for reduction of noise. It is shown that  a  linear function of transmission errors is accompanied with edge contact, and then inside the cycle of meshing, the meshing becomes  a  mixed one: (i) as surface-to-surface tangency, and (ii) surface-to-curve meshing when edge contact starts. Application of  a  predesigned parabolic function of transmission errors enables to absorb the linear functions of transmission errors caused by errors of alignment, reduce noise, and avoid edge contact. The influence of the load on the function of transmission errors is investigated. Elastic deformations of teeth enable to reduce the maximal transmission errors in loaded  gear drives.  Computerized simulation of meshing and contact is developed for loaded and unloaded  gear drives.  Numerical examples for illustration of the developed theory are provided.7207
Keywords:  Gear drives ; Transmission errors; Tooth contact analysis (TCA); Finite element analysis; Reduction of noise
 Article Outline
1. Introduction
2. Modification of tooth surfaces
2.1. Helical gear drives
2.2. Spiral bevel gears
2.3. Worm gear drives with cylindrical worm
3. Types of meshing and basic functions of transmission errors
4. Transmission errors of a loaded gear drive
4.1. Preliminary considerations
4.2. Application of finite element analysis for determination of function of transmission errors of a loaded gear drive
5. Numerical examples
6. Comparison of the power of noise for two functions of transmission errors  
6.1. Conceptual consideration of applied approach
6.2. Interpolation by a piecewise linear function
7. Conclusion
Acknowledgements
References
1. Introduction
Simulation of meshing of gear drives performed by application of tooth contact analysis (TCA) and test of gear drives have confirmed that transmission errors are the main source of vibrations of the gear box and such vibrations cause the noise of gear drive [1], [2], [4], [5], [6], [7], [10] and [11]. The shape of functions of transmission errors depends on the type of errors of alignment and on the way of modification of gear tooth surfaces performed for improvement of the drive (see Section 2).
The reduction of noise proposed by the authors is achieved as follows:
(1) The bearing contact of tooth surfaces is localized.
(2) A parabolic function of transmission errors is provided. This allows to absorb linear functions of transmission errors caused by misalignment [7].
(3) One of the pair of mating surfaces is modified by double-crowning (see Section 2). This allows usually to avoid edge contact (see Section 5).
The authors have compared the results of application of TCA for loaded and unloaded gear drives. It is shown that transmission errors of a loaded gear drive are reduced. The developed approach is illustrated with numerical examples (see Section 5).
2. Modification of tooth surfaces
Reduction of noise of a gear drive requires modification of one of the pair of contacting surfaces. The surface modification is illustrated for three types of gear drives: helical gears, spiral bevel gears, and worm gear drives.
2.1. Helical gear drives
Profile crowning of helical gears may be illustrated considering that the mating surfaces are generated by two rack-cutters with mismatched profiles [5] and [7].
Profile crowning allows to localize the bearing contact. Double-crowning in comparison with profile crowning allows to: (i) avoid edge contact (caused by errors of crossing angle and different helix angles of mating gears), and (ii) provide a parabolic function of transmission errors. Double-crowning is performed by plunging of the disk that generates the pinion (see details in Chapter 15 of Ref. [7]). 齿轮传动时产生震动和噪音英文文献和中文翻译:http://www.751com.cn/fanyi/lunwen_5051.html