| 1. | Given a response surface equation in quadratic form , the six sigma black belt will be able to compute the stationary point
给出一个二次方程式形式的响应曲面公式， 6西格玛黑带应能计算出驻点。 |
| 2. | The coordinates of 3d data points are calculated by binocular sensor that is calibrated precisely . these points define a surface equation based on nurbs theory . it supplies interface to industry manufacture
采用了nurbs理论对数据点阵进行曲面插值，获得nurbs参数曲面方程，为工业自动化生产提供标准接口。 |
| 3. | ( 2 ) intersectioning algorithm of nurbs surface and general implicit surface is researched in which the parametric formula are substituted into the implicit surface equation and then get the nonlinear two - dimensional equation on parametric domain
( 2 )实现了nurbs参数曲面与广义的隐式曲面的求交算法并将其应用于船体曲面与水线面的求交中。 |
| 4. | Jacobi transformation is used to find correlations among coefficients . then a method to transform general quadratic surface to formal quadratic surface equation is introduced . the location , direction and size of quadratic surface are obtained
论述了运用jacobi变换方法来处理系数相关性问题,实现了二次曲面的一般方程的求取,并探讨了将通用系数形式转化为标准二次曲面方程的方法,从而求得二次曲面在空间的位置、方向和大小。 |
| 5. | Simultaneity it can generate the three - dimensional model of corresponding gear in a minute after by directly inputting gear parameters and the parameters of tooth form , which could prove th at the general tooth surface equation of double circular arc profile bevel gear obtained above was correct
同时也可直接输入齿轮参数和齿形参数，来生成相应齿轮的三维模型，从而证明了前面推导的双圆弧弧齿锥齿轮通用齿面方程式的正确性。 |
| 6. | The paper studies the surface geometry of globoidal indexing cam by applying the theory of conjugate surfaces and the method of coordinate transformation , presents the equations related to the main inducement curvature of the cam profiles , analysis and deduces the equations of two circumscription curves , which judge if the conjugate surface could mesh properly . some calculate examples and conclusion are given . the surface equation of the globoidal cam and conjugate equation are established
论文首先在分析空间啮合原理基础上，采用坐标变换法推导出弧面分度凸轮的工作廓面方程、啮合方程和压力角计算公式，对弧面分度凸轮的啮合特性进行了深入的分析和研究，对判断曲面能否正确啮合的依据如两类界限线方程以及诱导主曲率等进行推导，并给出算例。 |
| 7. | Passing analysing the link of the three - arc - sect isometric type surface , built the three - arc - sect isometric type surface equation , found the location of isometric type surface with the finite element analysis method and calculated the link intensity of the three - arc - sect isometric type surface
摘要文中对型面联接中的三弧段等距型面联接进行力学分析，首先建立三弧段等距型面方程，应用有限元法确定等距型面接触点的位置，对三弧段等距型面联接中的应力分布及大小进行分析计算。 |
| 8. | Finally , by means of comparing the theoretical tooth surface equation with the tooth surface equation included errors of cutter position and cutter position angle , the quantitative analysis of the theoretical tooth shape and the tooth shape considering the errors of cutter position and cutter position angle was curried out based on the software above . from which , the effect of errors of cutter position as well as cutter position angle on the processed tooth shape and transmitting behavior of this kind of gearing was studied
最后，通过比较双圆弧弧齿锥齿轮齿面理论方程与加入刀位及刀位角误差后的齿面方程，应用上述软件和通过进一步的数值计算，进行了无误差的理论齿形与加入刀位及刀位角误差后所得到的实际齿形之间的定量分析，比较直观、方便、准确地对刀位及刀位角误差对双圆弧弧齿锥齿轮的齿形以及传动的影响进行了初步研究。 |
| 9. | From the aspect of geometry , structure design , manufacture and examine , this paper generally summarizes the gcm ' s study progress in detail , discusses its kinetic rule and the determination of its primary structure parameter , and educes its surface equation and pressure angle equation based on the homogeneous matrix transformation and the conjugate engagement theory of spatial surface . on the basis of geometry study of gcm , the paper makes a comprehensive analysis to the interference phenomenon that will possible exist in the assemble course of two different structure of gcm with the help of matlab software
本文从运动几何学、结构设计、动力学、制造和检测等方面对国内外弧面凸轮机构的研究进展进行了全面综述，详细论述了高速凸轮机构的运动规律和弧面凸轮机构基本尺寸的确定，基于空间曲面共轭啮合原理，通过齐次变换推导了外弧面凸轮的曲面方程和压力角方程，并提出了对应的廓面修形算法；提出了内弧面凸轮机构的构想，推导了内弧面凸轮的曲面方程和压力角方程。 |
| 10. | Through systemic analyzing on spiral helical gear transmission with different basic parameters , the essay found out rules of how can such basic parameters influence spiral helical gear engagement characteristics . so it brings forward the auxiliary assembling mode of adopting one straight gear and one helical gear on condition of little axial angle as well as treasures to ameliorate ill engagement performance on condition of large axial angle , another two jobs of the essay are to clarify the wrong concept that spiral helical gear can only transmit movement but not impetus and to provide a brief and practical method of analyzing contact for gear pairs whose surface equations can be written out directly
通过对不同基本参数的螺旋齿轮传动进行系统研究，找出了螺旋齿轮基本参数对其啮合特性的影响规律，提出小轴交角条件下可采用一直齿轮、一斜齿轮的齿轮副组合方式，给出了大轴交角条件下啮合性能不良的改进措施。澄清了螺旋齿轮只能传递运动不能传递动力的误区，为能够直接写出齿面方程的齿轮副进行齿面接触分析提供了一种简便、实用的新方法。 |
