利用微分几何和啮合原理推导出该机构的点啮合的诱导曲率方程，给出了接触域大小的计算公式。
With the differential geometry and engagement theories, induced curvature formulas of point engagement were deduced, and the formula of the local contact areas was given.
本文作者利用张量计算，证明了南开大学的诱导法曲率公式与日本酒井公式是统一的，一致的。
In this paper the author using tensor calculus shows that the equation for induced normal curvature of Nankai University and that of Sakai (Japanese) are of unity.
通过推导这种新型齿轮齿面诱导法曲率，分析了接触强度得以提高的原因。同时用切齿法进行研究后得出，该齿轮还具有较高弯曲强度。
It is shown that this gear is of both high bending strength and high contact strength by analysing and studying its induced curvature and cutting methods.
两共轭齿面沿接触线法向的诱导法曲率是衡量机械传动性能的重要指标之一。
The induced normal curvature of two conjugate tooth surfaces along normal direction of contact line is one of the important indexes evaluating mechanical transmission performances.
同时，在模拟过程中，观察到了弯曲诱发扭转的现象，并揭示出扭转变形的内在起因是曲率诱导的晶格错配。
Notably, a twisting mode arising from curvature-induced lattice mismatch emerges with the rippling in the bent nanotubes.
同时，在模拟过程中，观察到了弯曲诱发扭转的现象，并揭示出扭转变形的内在起因是曲率诱导的晶格错配。
Notably, a twisting mode arising from curvature-induced lattice mismatch emerges with the rippling in the bent nanotubes.
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