给出了定子螺旋面和转子蜗杆齿廓曲面方程以及行星轮轮齿滚珠与定子螺旋面及转子蜗杆之间的接触线方程。
The curved surface equations of the teeth profile on the stator helical surface and the rotor worm are given.
主要研究内容如下：由于TI蜗杆齿面上的接触线方程是一种超越函数，直接在有限元分析软件ANSYS中建模比较困难。
The content of this research is as follows: Direct modeling for tooth surface of ti worm in ANSYS is difficult for the equations of contact lines being a kind of transcendental function.
本文以斜平面二次包络环面蜗杆副为研究对象，在空间啮合理论的基础上，推论出三参数修正的啮合方程、接触线方程、蜗轮齿面方程。
In this thesis, planar double-enveloping worm gear pairs is the research object, combined with space Meshing theory, derived from the multi-parameter modification of the mesh equation.
根据接触悬挂系统中的接触线振动方程，推导了接触线应力的均值和方差的计算公式。
Vibration equations of contact wires were used to derive the formulae for calculation of mean and standard deviations of stresses.
针对受压限制失稳结构，利用点接触、线接触屈曲模型，建立了杆在各种屈曲模态下的挠度曲线方程。
The deflection equations of constrained buckling are derived in buckling of bar structure via point contact and line contact models.
通过对此数学模型的求解，导出了相交双管相贯线上各点局部二面角的计算公式，给出了相交双管装配接触线的参数方程，并解释了其数学本质。
By the solution of the model, a calculating formula of the local dihedral angel of intersecting line and a parametric equation of contacting line are given.
通过对此数学模型的求解，导出了相交双管相贯线上各点局部二面角的计算公式，给出了相交双管装配接触线的参数方程，并解释了其数学本质。
By the solution of the model, a calculating formula of the local dihedral angel of intersecting line and a parametric equation of contacting line are given.
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