A Study on Numerically Controlled Machine Tools for Cutting Noncircular Gears and Their Control Method

近年来，非圆齿轮的用途得到了重视，对其的需求也在迅速增加。然而，传统的设计和制造方法已不能满足生产非圆齿轮的需要。因此，非圆齿轮的生产型制造系统一直是人们迫切需要的。为了提高非圆齿轮的生产率和精度，研究人员试图提高数控齿轮加工机床的性能。此外，由于CAD/CAM系统对提高生产率也起着非常重要的作用，因此开发了一种新型的非圆齿轮CAD/CAM系统。本文的研究成果总结如下：首先，将插齿机和滚齿机改造成能够精确加工非圆齿轮的数控齿轮加工机床。其次，以非圆齿轮为例，提出了一种蜗轮回转误差补偿机制，并进行了…验证此外，利用研究人员开发的CAD系统，可以方便地设计和制造用于补偿的非圆齿轮。用傅立叶变换求出了它们的pTICH曲线。这种基于傅里叶变换的设计方法对于非匀速运动机构的设计是非常有用的，因为用这种方法设计的节距曲线保证了驱动和从动件的节距曲线都是闭合的。包含该设计方法的CAD系统与采用经验设计方法的系统相比，能够非常有效地设计非圆齿轮。此外，作为非圆齿轮的另一种应用，提出了一种新的车辆转向机构。分析结果表明，转向机构的非圆齿轮为椭圆齿轮。由于转向机构使车辆能够以很小的半径转弯，且椭圆齿轮适合于生产，可以预期该机构将用于多种车辆的转向系统。较少

Recently, usefulness of noncircular gears has been recognized and the demand of them is rapidly increasing. However, the conventional design and manufacturing method have no capability of production of the noncircular gears as much as the demand. Therefore, the productive manufacturing system for noncircular gears has been strongly desired. In order to improve the productivity and accuracy of the noncircular gears, the investigators tried to increase the performance of NC gear manufacturing machines. In addition, since CAD / CAM system also plays very important roll for improvement of the productivity, a new CAD / CAM system for noncircular gears were developed.The summary of this research results are as follows : First, we converted a gear shaper and a hobbing machine into NC gear manufacturing machines which can precisely cut noncircular gears. Secondly, as an application for noncircular gears, an compensation mechanism for rotational error of worm gear was proposed and it was proved … More by using the CAD system developed by the investigators that the noncircultar gears for compensation can be easily designed and produced. The ptich curves of them were deduced from Fourier transform. This design method using Fourier Transform is very useful for design of non-uniform motion mechanism because the pitch curves designed by this method are assured that both pitch curves of the driver and follower always have closed form. The CAD system including this design method enables us to design the noncircular gears very effectively in comparison with the system using empirical design methods. In additon, as the other application of noncircular gears, a new steering mechanism for vehicles was proposed. From the result of analysis, it became clear that the noncircular gears for the steering mechanism are elliptical gears. Since the steering mechanism enables the vehicle to turn with a very small radius and the elliptical gears are suitable for productin, we can anticipate that this mechanism will be used for steering system of many kinds of vehicles. Less