摘要齿轮机构是目前生产中运用十分普遍的机械传动机构,原因是它们具有较多优点：比如齿轮传递功率较高、效率可靠、传动准确、工作时间长、结构比较合理等。日常的讨论中，所提到齿轮的传动基本是在做匀速运动和一定的运动功率的传动，这类传动的齿轮传动比通常为常数。但是，我们生产中经常会用到非圆齿轮，它们通常会被用于控制元件，在轻工业、服装、饮食等等行业发挥着重要作用。77637

非圆齿轮传动技术在上个世纪30年代在就已出现,上个世纪50年代前苏联学者李特文第一次给非圆齿轮传动技术建立了系统理论,这项技术传到国内是上个世纪70年代,同时开始进行系统研究,可惜的是至今应用仍然有限,甚至这部分内容并没有出现在我国机械专业的本科生教材中。可能的原因在于,非圆齿轮设计复杂，计算不方便,制造也不容易。到了20世纪70年代,随着科技进步，计算机和数控制造技术的发展和以及应用,让我们有可能解决了制约非圆齿轮运用的两大难题，因此使得非圆齿轮的应用再一次引起人们的关注，并一度引起热潮，人们将这项想称之为齿轮界的“再发明”，与此同时，人们不但对非圆齿轮传动进行研究，还带动了非圆带、链等传动类型的研究，将领域深入到非匀速比的研究。

偏心齿轮是指有一对普通渐开线直齿圆柱齿轮,它的回转中心与几何中心不在同一点,之间形成一个偏心距,从而可以实现变速比传动,这种齿轮的制造和一般的渐开线齿轮方式相同，但是可以同时取代很多复杂的非圆齿轮运动的特点，以此得到人们的关注。

本文首先阐述了渐开线齿轮的发展现状及其优势特点，进行总结、归纳,并对偏心渐开线齿轮的基本理论进行全面论述。接着分析偏心渐开线齿轮的传动函数，然后使用Excel编程计算了不同偏心距e和和中心距a下的传动比变化，根据所计算的结果和曲线的变化情况，分析传动比变化规律，本文主要采用了四阶龙格库搭法对结果进行求解。

毕业论文关键词:偏心渐开线齿轮  传动比  偏心距  中心距  四阶龙格库搭法；

Analysis of eccentric involute gear transmission

Abstract Gear mechanism is widely used in mechanical transmission, which has many advantages, such as high transmission power, high efficiency, accurate and reliable transmission, long life, compact structure and so on。 Commonly referred to as the gear is refers to the transmission ratio constant of gear transmission, its main function is constant velocity and constant power transfer (power), and non circular gear is more as the motion control components, widely used in light industry, textiles, tobacco, food and other machinery, plays an important role in the design of mechanism innovation。

Appear in non circular gears in the 1930s。 In the fifties of the 20th century, scholars from the former Soviet Union Litwin for the first time to establish the systematic theory of noncircular gear transmission。 In the 70s of the 20th century from the technique was introduced to China, and began to carry out the research system, but has limited application, even in China's machinery professional undergraduate textbooks are not included this part of the content。 The important reason is that the design of the non circular gear is complex and difficult to manufacture。 In the 20th century, 70 years later, as a result of the development of the computer technology and numerical control technology and the widespread application, restrict non circular gear with two major difficulties have may be overcome, and set off a new round of noncircular gear research and application of boom, and even abroad, there are people will be called non circular gear "re invention (Rediscovering)", not only to carry out the study of non circular gears, and carry out the non round belt, chain drive research, forming a rich content of non-uniform speed transmission research field。