坐标系的

A new method for the generation of curvilinear grid has been proposed. Some curvilinear grid generation examples show that satisfactory grids can be generated for simple-connected regions and connected- regions with complex boundary by using the proposed adjusting factors.

3提出了一种生成边界处正交曲线网格的新方法，收敛速度快，在复杂边界流场区域的数值计算中，有很大的实用价值；为了克服复杂几何边界给数值计算带来的困难，提高通用性以及水流的预测精度，本文采用上述网格生成技术，在直角坐标系三维非恒定明渠紊流的沿层积分数值模型基础上，发展了曲线坐标系下的多层紊流水动力模型。

Study of the method for controlling the very small distortion of the mask;2. In order to get the distortion of ellipsoidal equipment in space, we can fit the ellipsoidal surface by using coordinates of points spreading around it.

讲述了通用二次曲面拟合的误差方程和法方程的组成，介绍了运用Jacobi变换方法来处理系数相关性问题和法方程的求解，还介绍了将通用系数形式转化为标准椭球方程的方法，从而求得观测坐标系与椭球主轴坐标系之间的关系，最后求得椭球在空间的位置、方向和大小，以及椭球体的形变值。

Then, the differential equations are solved by the Fourier expanding and Hankel integral transform method. Integral solutions of soil skeleton displacements and pore pressure as well as the total stresses for poroelastic media are obtained. Furthermore, a systematic study on Lamb's problems in transversely isotropic saturated half-space is performed. Integral solutions for surface radial, vertical and tangentical displacements are obtained both in the case of drained surface and in the case of undrained surface excited by vertical and tangentical harmonic resources respectively. Numerical results show the obvious difference between the model of isotropic saturated poroelastic media and that of transversely isotropic saturated poroelastic media.

其次，基于Biot波动理论，在圆柱坐标系下求解了横观各向同性饱和土的Biot波动方程：通过引入位移函数，在圆柱坐标系下将横观各向同性饱和土的Biot波动方程转化为两个解耦的6阶和2阶控制方程，然后根据方位角的Fourier展开和径向Hankel变换，求解波动方程，得到以土骨架位移和孔隙水压力为基本未知量的积分形式一般解，并用一般解给出了饱和土总应力分量的表达式；再以基本解为基础，系统地研究了横观各向同性饱和半空间体的Lamb问题，考虑表面排水或不排水两种情况后，首次得到横观各向同性饱和半空间体在表面竖向和水平谐振力作用的下径向、竖向和周向位移的解析解。

The errors and area limits caused by the lunar curvature were avoided in this model established under the Selenocentric Orthogonal Coordinate System, the accidental errors of exterior line elements were reduced by orbit fitting and interpolation, the polynomial orders of systematic errors in satellite orbits were decreased with their expression in the flying coordinate system moving and rotating with satellites, and the reliability of exterior orientation solution was enhanced under the condition of sparse and low accuracy control points by appending constraint of orbit and attitude parameters.

该模型通过在月心直角坐标系进行影像空中三角测量来消除月球曲率引起的误差和测图范围限制，通过轨道形状的拟合与插值来减小摄影时刻轨道位置的偶然误差，在飞行坐标系中建立轨道修正模型来减少定向参数的数目，对轨道和姿态增加约束条件来提高月面控制点数目稀少及精度低条件下外方位解算的精度与可靠性。

Each hydraulic link of 6-DOF parallel robot is treated as an open joint-link chain. Each link's local coordinate frames is established according to the position and orientation of the component of the spatial mechanism. The stiffness and damping matrices of the link are transformed into the static gross coordinate frame through transfer matrix described by the RPY description method. The differential equation of motion of the system vibration is derived.

将6-DOF并联机器人的液压分支作为假想的单开链，由空间机构的位姿建立其组成构件的局部坐标系，并利用RPY角描述方法，通过转移矩阵将各构件的刚度及阻尼矩阵依次转移到固定坐标系中，得到了系统振动的运动微分方程。

On the one hand, the linear interpolation in plane makes it easy to separate the three-dimensional null subspace corresponding to rigid body motions, hence what is left to do is just to compute the inverse of a symmetric definite submatrix numerically.

在物理坐标系中的线性插值函数便于将三个刚体模式分离出来，从而只需计算对称正定子阵的逆，避免了求广义逆的数值困难；在参考坐标系中的高阶插值函数则可保持原平面弹性单元的列式方式。

In the numerical study, the governing equations of flow and heat transfer in 3 —D body—fitted curvilinear coordinate system being automaticly generated with TTM method were deduced by means of vector and tensor analysis. These equations were dliscreted with nonstaggered grids providing relative elimilating method for the pressure oscillation was domonstrated.

在数值分析中，借助于矢量理论和张量分析，导出了具有普遍意义的三维任意曲线坐标系下的流动传热控制方程，并利于TTM方法生成了计算域的贴体曲线坐标网格；在数值离散过程中，尝试了用非交错网格离散的方法并解决了压力场振荡的抑制问题；运用附面层理论，阐述了壁面函数法在三维任意曲线坐标系上的应用。

Then the voltage source type matrix converter mathematics model is established each in 3-phase static and circumrotate coordinate system, moreover by open-loop simulation, the simulation results show that the voltage source type matrix converter can realize the frequency range very broad sine wave input-output, moreover by regulating circuit parameter, the power factor in input side reaches 1 approximately, realization static VAR compensator function.

然后分别建立了电压源型矩阵变换器在三相坐标系和旋转坐标系下的数学模型，并且对电压源型矩阵变换器进行开环仿真，仿真的结果表明电压源型矩阵变换器能够实现频率范围很广的正弦波输入输出，而且通过调整电路参数使得输入侧的功率因数约为1，实现静止无功补偿器的功能。

By rotating the X-axis of the measurement coordinates, the straightness data of each generatrix are transformed into a unified 3D coordinate system whose Z-axis superposes the least square mean axis calculated with the data of the multiple generatrices. The computer simulations and experiments prove that the construction by rotating the abscissas can effectively eliminate the distortion of the constructed profile.

通过测量坐标系中X轴的旋转，将各条母线直线度偏差数据统一到同一个空间坐标系中，采用两端面圆的最小二乘轴心的连线作为零件轴线，消除了直接构造所带来的表面变形，并能进一步计算出被测内孔的直径、圆度和轴线直线度误差，使测量系统集成化和多功能化。

By employing coordinate transformation, the overall generalized displacement vector relevant to the motion of pad and axle journal is converted into axle journal displacement vector in a local motion coordinate system, and the oil film force in a partial motion coordinate system is obtained by solving the dynamic characters of a fixed bush bearing.

通过坐标变换，将瓦块和轴颈运动相关的全局广义位移矢量转换为局部动坐标系下轴颈的位移矢量；利用求解固定瓦轴承动力特性的方法求得的局部动坐标系下的油膜力。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。