Computerized simulation of tooth contact and error sensitivity investigation for ease-off hourglass worm drives
- 作者：Yaping Zhao ; zhaoyaping1975@126.com ; Jianyi Kong ; Gongfa Li ; Tianchao Wu ; Shaoyang Shi
- 关键词：Worm drive ; Double-enveloping ; Mismatch modification ; Nonlinear equation ; Bearing contact pattern ; Transmission error
- 刊名：Computer-Aided Design
- 出版年：2012
- 期刊代码：32_00104485
- 类别：cp
- 出版时间：August, 2012
- 卷：44
- 期：8
- 页码：778-790
- 文件大小：1686 K
摘要
In the present paper, the tooth contact characteristics and the error sensitivity of the ease-off dual-torus double-enveloping hourglass worm drive (the DTT worm drive) are considered. The ease-off hourglass worm drive is composed of a standard hourglass worm and a modified worm wheel. In order to determine the instantaneous contact point of the mismatched worm pair, the two-stage downhill secant method (the TSDS method) is proposed to be used for solving the nonlinear contact equations. Roughly speaking, the main merits of the TSDS method are lower sensitivity to the initial guess, without a request for computing the Jacobi matrix and no singularity near the genuine solution. After ascertaining the transient contact point, the momentary contact ellipse, the instantaneous transmission ratio and some other tooth contact features are worked out by means of an improved local synthesis approach, which is proposed for point contact gear drives in this article. The results of computerized simulation show that, the mismatched worm gear set is able to accomplish desirable point contact, and has respectable load carrying capacity. On the other hand, the mismatched worm gearing is insensitive to the alignment errors, and its property of the transmission error is advantageous to reduce the noise and vibration.