Creative points and all tasks having be finished are briefly shown below : according to the classical space meshing theory , we have strictly deduced a series of formulae such as the equation of contacting line of worm , the equation of the second limiting curve of worm gear , and the equation of working surface and non - working surface , etc . and we have deeply studied the algorism of the actual contacting lines of worm gear drive 本文的主要创新点和成果如下：基于经典共轭啮合理论，对平面二包蜗杆副的运动关系进行了严密分析，获得了蜗杆副齿面方程、蜗杆齿面一界曲线方程、蜗轮齿面二界曲线方程等一系列齿面分析所必须的数学公式，并深入研究了蜗杆副齿面接触线的算法，为蜗杆副的三维数字化造型打下了坚实的数学基础。
According to the study of bass equation , it described the distribution features of incubation time , studied the relations between diffusion rate and the coefficient of innovation and imitation , and the time to peak sales and the point of inflection of diffusion function and the maximum diffusion rate 通过对bass方程的分析，描述了技术创新扩散的生长曲线方程，探讨了技术创新扩散率同创新系数和模仿系数的关系以及销售峰值的到达时间和最大扩散率等酝酿期的扩散特性。
One liquid phase and two solid phases ) equilibrium curves of the 2d alternative ternary system are obtained . given a group of the attractive interactions " values , the phase diagrams that representing the equilibrium of one liquid phase and two solid phases , i . e . the knot triangles , are got , which are similar to the practice 接着，利用相似的方法，得到了决定二维三元替换式l - j系统的三相平衡曲线方程的表达式，给定势参数后，得到了三元系统中的由两固相与一液相形成的三相平衡相图，即结三角。
Firstly , based on research of the asymmetric involute gear cutter and the gearing theories , the universal tooth flank curve equations of asymmetric gear with two pressure angles and the tooth transmission curve are derived by the gear shape nomal method , then the fea model of asymmetric involute gear with main parameters is automatically generated with ansys parametric design language ( apdl ) 本文首先建立非对称渐开线刀具的方程,根据齿形法线法建立非对称渐开线齿轮的齿廓曲线方程,并利用apdl参数化建模语言建立全参数的非对称渐开线齿轮有限元模型。讨论了非对称渐开线齿轮的啮合特性,对非对称渐开线齿轮传动特点作了详细的分析。
