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normal vector
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  法向量
    The helical surface equations of the female and male rotors are set up and their meshing equation and normal vector formulation are derived. On the basis of it, the computer animation simulation of the meshing motion between the female and male helical rotors are implemened with Visual C 6.0, in order to watch their meshing condition on computer screen intuitively for user. It provides the strong CAD technology and software tool for optimize design of helical rotorsof screw compressor.
    建立了阴阳转子螺旋面方程式 ,推导出了转子螺旋面的法向量和啮合方程式 ,在此基础上 ,为便于用户在计算机屏幕上直观考察阴阳转子的啮合运动情况 ,用 Visual C6.0编程实现了各种型线的阴阳转子啮合运动的计算机动态模拟 ,为螺杆转子的优化设计提供强有力的 CAD技术和软件工具 .
短句来源
  法矢
    According to the radius vector and unit normal vector in contact point of higher-pair must be equal each other, and unit normal vector must be perpendicular to the relative velocity, This paper suggests a set of general model and formulae to analysis three freedom five bar planer higher-pair mechanism, the transmission ratio function and its derivative of RHR? RHP? PHP planar higher-pair mechanisms can be calculated by this model.
    根据高副元素接触点处的径矢和幺法矢必须相等 ,且接触点处的幺法矢和相对运动速度矢量相互垂直的约束条件 ,提出了一个 3自由度 5杆平面高副机构的通用分析模型 ,给出其高副约束方程 ,据此可以求解RHR、RHP及PHP型三类单自由度平面高副机构的传动比函数及其导数
短句来源
  “normal vector”译为未确定词的双语例句
    In this paper, the algorithm in which normal vector of vertex is used to control simplifying error obtains good result on briefness, simplifying velocity and quality.
    本论文中提出以顶点的法向变化情况来控制简化误差的算法在简单性、简化速率和简化质量方面均取得了较好的效果。
短句来源
  相似匹配句对
    VECTOR SCIAGRAPHY
    矢量投影法
短句来源
    FAULT VECTOR DIAGNOSIS
    故障矢量诊断法
短句来源
    the lubricationeffects of the normal paraffins are better.
    正构烷烃系列具有较好的润滑效果。
短句来源
    THE NORMAL PROGRAM OF FAILURE ANALYSIS
    失效分析的规范化程序
    In this paper, the algorithm in which normal vector of vertex is used to control simplifying error obtains good result on briefness, simplifying velocity and quality.
    本论文中提出以顶点的法向变化情况来控制简化误差的算法在简单性、简化速率和简化质量方面均取得了较好的效果。
短句来源
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  normal vector
The material is assumed to deform preserving both volume and the area on the surfaces defined by unit normal vector field in the material; that is, the material has the internal constraints of incompressibility and "inexpansibility".
      
The orientation of the layer surfaces or slip planes in the context of crystallographic slip is determined by the normal vector the so-called director of these surfaces.
      
It must be pointed out that fractures which need unrealistically high shear stress to start slip on their fault planes are defined by a very narrow band of possible angles between tensional direction and the normal vector to fault plane.
      
The orientation, which is given in our case by the angle between the normal vector to a fracture and the regional tensional axis, is approximately 59° for the eastern Aleutian Arc.
      
Let be a surface in a 3-dimensional euclidean space and an orthonormal moving frame of F, where is the normal vector of F.
      
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In this paper,mathematical derivation of contact lines and relative principal curva-tures of cylindrical gears are presented.These equations may be taken as a basis foranalysing inproving the prevailing tooth profile.Also is given a theoretical basis for contrasting tooth profiles now available andfor researching new tooth profiles.The following symbols are used in this paper:x,y——Cartesian coordinates of basic rack(see Fig.1)(?——Polar angle of pitch point(see Fig.2)r——Distance of pitch point from point of tooth...

In this paper,mathematical derivation of contact lines and relative principal curva-tures of cylindrical gears are presented.These equations may be taken as a basis foranalysing inproving the prevailing tooth profile.Also is given a theoretical basis for contrasting tooth profiles now available andfor researching new tooth profiles.The following symbols are used in this paper:x,y——Cartesian coordinates of basic rack(see Fig.1)(?——Polar angle of pitch point(see Fig.2)r——Distance of pitch point from point of tooth profiles(see Fig.2)θ——Angle of normal line(see Fig.2)z——Number of teethX,Y,Z——Moving coordinated axes of tooth surfaces(see Fig.3)X_0,Y_0,Z_0——Fixed coordinates of tooth surfacesε——Rotating angle of transverse sectionβ——Helix angle of helical gears(?)——Rotating angle of gearsm——ModuleL——Length of contact linek——Relative principal curvature(?)——Tooth normal vector(?)——Tangential vector of contact line(?)——Unit vectors of fixed coodinates(?)——Angular velocity vectorω——Angular velocity(?)——Velocity vectors of tooth profiles(?)——Sliding velocity vectorσ——Sliding ratioi_(12)——Velocity ratioA_0——Center distancea_0——Pressure angleβ_i——Helixangle at base circler_0——Radius of circuler profileC——Distance of centre from pitch line K——Relative principal curvature factor(?)——Specific value of relative principal curvature factor and length of contact lineIf the profile equation of basic rack is known,the following equation will givethe contact line of cylindrical gearsX_(01)=m((z_1/2)secβ_0+y)Y_(01)=-myy'cosβ_0 (17)Z_(01)=mctgβ_0[(z_1/2)(?)_1-(xsecβ_0+yy'cosβ_0)]where y'=dy/dxThe equation for relative principal curvature is:k=-((z_1+z_2)[(1+y′~2+yy″)~2ctg~2β_0+(1+y′~2)])/2msecβ_0(1+y′~2)~(3/2){z_1/2±|ycosβ_0[1+(y′~2+yy″)cos~2β_0]|}sin~2β_0/z_2/2(?)|y cosβ_0[1+(y′~2+yy″)cos~2β_0]|}Where y″=d~2y/dx~2In circular conjugate gears,formula(17)can be written asX_(01)=m[z_1/2secβ_0±(r_0cosθ-c)].Y_(01)=(?)m(r_0sinθ-ctgθ)cosβ_0 (43)Z_(01)=mctgβ_0{z_1/2(?)_1(?)[(r_0~2-c~2)~(1/2)secβ_0-(r_0sinθtg~2β_0+ctgθ)cosβ_0}Fig.4 shows some contact lines of the circular conjugate gears.The equation for length of contact line of the circular conjugate gears isL=mr_0(θ_a-θ_b)η (50)where η is length factor of contact line(see Table 1)The equation for relative principal curvature of the circular conjugate gears is(?)where is specific value of the involute gears,is specific value of thecircular conjugate gears(c=0).The following values are respectively:β_0=11°28′42″ (?)≈6β_0=25°(?)≈2.5

本文导出了圆柱齿轮的接触线与相对主曲率的一般方程式,为分析比较现有的圆柱齿轮齿廓和探索新齿廓提供了一个理论依据。

On the basis of analying the engaging character of the circular-arc gears with circular-arc tooth trace, in this paper, the engaging motion between circular-arc gears with circular-arc tooth trace and its basic rack are studied by using the principle of engaging surfaces. The calculation formulasincluding the mesting function, the instantaneous comtact line、the normal vector of tooth surface、the relative velocity are derived. The common tooth surface equation is built, and the shape of tooth surface is...

On the basis of analying the engaging character of the circular-arc gears with circular-arc tooth trace, in this paper, the engaging motion between circular-arc gears with circular-arc tooth trace and its basic rack are studied by using the principle of engaging surfaces. The calculation formulasincluding the mesting function, the instantaneous comtact line、the normal vector of tooth surface、the relative velocity are derived. The common tooth surface equation is built, and the shape of tooth surface is drawn with aid of apollo computer.

本文运用共轭曲面原理对双向圆弧齿轮与其基本齿条之间的共轭运动进行了理论探讨,推导出了啮合函数、瞬时接触线、齿面法矢和相对运动速度等计算公式,建立了齿面的通用方程式,同时在AD0110计算机上绘制出了齿面的形状。

By means of the available crystal parameters of precipitates and the orientation relationships between the precipitates and the matrix in aluminium alloys, the diffraction patterns of all possible precipitates have been simulated, which agrees with experimental observations in LD10 alloy. The method used was to transform the reciprocal lattice vectors gp of the precipitate phases into unit normal vector on the matrix lattice, and to check up whether those gp satisfy the Bragg condition and then to determine...

By means of the available crystal parameters of precipitates and the orientation relationships between the precipitates and the matrix in aluminium alloys, the diffraction patterns of all possible precipitates have been simulated, which agrees with experimental observations in LD10 alloy. The method used was to transform the reciprocal lattice vectors gp of the precipitate phases into unit normal vector on the matrix lattice, and to check up whether those gp satisfy the Bragg condition and then to determine the locations of diffraction spots on the matrix diffraction pattern. The method is applicable to any system where the orientation relationships and lattice parameters of matrix and precipitate phase are known.

ELECTRONDIFFRACTIONPATTERNSANALYSISOFPRECIPITATESINLD_(10)ALLOY¥Jin,Tounan;Yin,Zhimin(DepartmentofMaterialsScienceandEngineer?..

 
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