曲线的曲率

This paper analyses the shape of Conjugate Curve of the profiee of pin tooth,develops the formula for computing the curvature of the comjugate curve, and completes the quantitative analysis of conjugate property of the circular arc and pin gears,This paper provides the theoretical foundation for the synthesis of circuler-arc and pin gear transmission.

本文分析了针齿齿廓的共轭曲线型式，推导了共轭曲线的曲率计算式；对圆弧针齿齿轮共轭性作了定量分析，为圆弧针齿传动的综合提供了理论依据。

A new curvature-based algorithm in free-form curve fitting was proposed to fit a 2D NURBS profile with an arc spline ,where a new form of curvature formula with matrix representation was also proposed,and then the arc spline tool path with G~(1) continuity was generated.

给出了一种平面曲线轮廓的圆弧样条拟合及刀具路径生成算法，该算法面向零件轮廓的光顺性刀具路径生成，通过应用曲线的曲率关系，对以NURBS表示的被拟合自由曲线按参数递增的方向用G1连续的圆弧或直线段逐段拟合，并生成相应的圆弧样条刀具路径，从而实现零件曲线轮廓表面的光顺加工。

The curvature of a curve; the magnitude of the derivative of its unit tangent vector with respect to distance on the curve:.

曲线的曲率；为单位切向量对距离取导数所得向量的大小

DT/ds| The curvature of a curve; the magnitude of the derivative of its unit tangent vector with respect to distance on the curve:|dT/ds

曲线的曲率；为单位切向量对距离取导数所得向量的大小

From this viewpoint, we fulfilled to control the step-size with the curvature of integral curve. The step-size is smaller in calculating these points that the value of the curvature is bigger and the step-size is bigger in calculating these points that the value of the curvature is smaller, which is rather reasonable choice and is also a creative point in this paper.

从这个想法出发，在文中实现了以积分曲线的曲率控制步长大小的作法，在曲率大的点步长小，而在曲率小的点步长大，这是非常合理的选择，也是本文的一个创新点。

From the results, the profile error of NURBS interpolation is related to feed velocity and curvature radius in NC machine tools.

仿真结果显示，数控机床NURBS插补的轮廓误差与进给速度及给定曲线的曲率半径有关。

From the results,the profile error of NURBS interpolation is related to feed velocity and curvature radius inNC machine tools.

仿真结果显示，数控机床NURBS插补的轮廓误差与进给速度及给定曲线的曲率半径有关。

The estimation of forming part"s sideline The estimation of forming part"s sideline is significant in weld and assembly process, the paper puts forth two kinds of method to realize quantitative analysis for the deformed sideline, one is using line contour error to estimate deformed sideline combined with GA and taking the value of line contour error as target to check whether it is in the range of precision; The other is comparing curvature and torsion of design model with curvature and torsion of deformed model to check the sidelines precision.

冲压件边线变形的评价。冲压件的边线变形的评价在焊装工艺中有着重要意义，本文提出两种方法来实现冲压件边线的变形评价：一是借鉴线轮廓度评定的方法，结合遗传算法计算出边线的线轮廓度，并以线轮廓度值作为边线是否满足要求的评价指标：二是通过比较变形前后曲线的曲率和挠率来评价边线的变形情况。

Because the curve radius of easement curve gradually changes, the formula for calculating the coordinates can not be obtained with the method of integration.

由于缓和曲线的曲率半径是逐渐变化的，不能用积分的方法求得其上点位坐标的计算公式，以往都是用级数展开进行近似计算。

In the meantime the radius of curvative of the planar cam profile should be also tested in the synthesis of the planar cam mechanism.

另外，在平面凸轮机构的综合中，一般也要验算凸轮轮廓曲线的曲率半径。

He is the most remarkable man that I have ever known.

他是我知道的人中最值得注意的人。

Increased appearance of lymphocele was noticed in patients with diabetic nephropathy, congenital malformations of the urinary tract, and inflammatory diseases, including glomerulopathy and extraglomerular ones, after high-voltage radiotherapy and after removal of the renal graft.

经过高压放射疗法和切除移植肾后，在糖尿病肾病患者、泌尿系统先天性畸形患者和炎症患者身上发现淋巴囊肿有所增加，包括肾小球病和球外疾病等。