Numerical Method of Determining the Curvature Interference Limit Curve for Modified Hourglass Worm Pairs

Author:

Zhao Ya Ping1,Wu Tian Chao1

Affiliation:

1. Wuhan University of Science and Technology

Abstract

The double-point downhill secant method (the DPDS method) is proposed to solve the nonlinear equations to determine the curvature interference limit points for modified hourglass worm drives. Thereupon, the whole curvature interference limit line can be obtained by interpolation. Based on this, the undercutting feature of the corrected worm gear can be investigated. The DPDS method has two main merits in principle. The first is the avoidance of the computation of the Jacobi matrix of the system of nonlinear equations. The second is that the sensitivity to the guess value can be decreased evidently owing to adopt the technique of the norm reduction. The effectiveness of the DPDS method is inspected and verified by a numerical example.

Publisher

Trans Tech Publications, Ltd.

Reference11 articles.

1. Lin Qi, Yaxiong Zhang, et al: Worm Drives Design (China Machine Press, Beijing 1987).

2. Xuezhu Dong: Design and Modification of Hourglass Worm Drives (China Machine Press, Beijing 2004).

3. Xuezhu Dong: Theoretical Foundation of Gear Meshing (China Machine Press, Beijing 1989).

4. Faydor L. Litvin, Alfonso Fuentes: Gear Geometry and Applied Theory (2nd Edition) (Cambridge University Press, UK 2004).

5. Yaping Zhao, Wenjun Wei, et al: A kind of dual tori double-enveloping toroidal worm pair. China Patent (2010) ZL 200920084461. 6.

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