参数曲线

The vertical torsion spring laser guide beam arm is designed by analytic method, and the load curve is mapmaked in the permited fluctuation range. A torsion spring curve is designed to match with the VTSLGBA′s feature curve, and the torsion spring design parameter can be confirmed according to the match result.

采用解析法优化设计了立式扭簧激光导光臂，在允许的工作波动范围内绘出导光臂的载荷曲线，然后设计出一条扭簧的扭矩曲线使其与导光臂的载荷曲线相匹配，再根据匹配结果确定扭簧的设计参数。

The curve, to be calledλ-Bezier curve not only inherits themost properties of n-degree Bezier curve, such as endpoints properties, symmetry,convex hull property, geometric invariability, affine invariance, convex-preservingproperty, variation diminishing property and so on, but also can be adjusted inshape by changing the value ofλwithout changement of control points.

曲线不仅具有n次Bézier曲线的特性：如端点插值、端边相切、凸包性、变差缩减性、保凸性等，而且具有形状的可调性：在控制顶点不变的情况下，随着参数不同，可产生不同逼近控制多边形的曲线。

Interpolating trigonometric polynomial parametric curves with C~2 (or G~1) continuity can be automatically generated without having to solve any system of equations or do any iterative computation. Then, the convexity of the constructed curves can be guaranteed by the appropriate value of the shape parameter.

在无需反求方程组、迭代计算和最值求解的前提下，即可产生插值给定点列的C~2或G~1连续的一族三角多项式样条曲线；进一步研究了该类曲线的保凸性，得到插值曲线保凸时形状参数的取值范围。

Sixthly, research on seismic performance of repaired HSC column after hightemperatures The nonlinear whole process analysis method of reinforced concrete is used.Programs of moment-curvature and shear force-displacement of repaired HSCcolumn are developed after exposed to four sides and two symmetrical sides fire.Seismic performance of repaired reinforced HSC column after fire is studied. Byanalyzing the calculating results, the corresponding formulas of characteristicparameters of their skeleton curves of repaired HSC column after fire are proposed,and it is compared with corresponding curve of unfired columns.

火灾后已修复高强混凝土柱的抗震性能研究利用钢筋混凝土非线性全过程分析方法，编制了火灾后(包括四面受火和双面对称受火)已修复高强混凝土柱截面弯矩一曲率关系和剪力—位移关系的计算程序，对火灾后己修复高强混凝土柱的抗震性能进行了研究，通过对计算结果的分析和整理，给出了火灾后已修复高强混凝土柱M-φ及P-△骨架曲线特征参数的回归计算公式，并将上述曲线与未受火柱的相应曲线进行了比较。

Its characteristics are relevant to resistance value. It is more universal and makes the traditional curve a special case. The two kinds of curves can be transformed to each other.

其特性与表面电阻等参数相关，且更为普适，是传统无反射曲线的扩展，而传统的无反射曲线演化为只是它的一个特例，两种无反射曲线可以相互转变。

Theory; the spatial meshing theory includes comparative motion, comparative differential and conjugative curved surface; and the application of meshing theory includes gear drive and worm drive. The spatial meshing theory is the main part of the course.

课程的重点讲解内容有曲线的参数方程、切线、法面、弧长、曲率、空间曲线的基本公式、挠率及平面曲线的基本公式等；曲面第一和第二基本公式，法曲率、主方向和主曲率、欧拉公式、短程挠率、欧拉公式和贝特朗公式推广、相对法曲率和相对短程挠率等；刚体的绝对和相对运动速度、相对微分和绝对微分、相对速度和相对微分、轨迹曲面的法曲率和短程挠率等；空间共轭曲面的啮合条件、诱导法曲率、两类界限点、等距共轭曲面、空间啮合的二次接触原理等；蜗杆传动的数学模型建立及啮合特性分析方法等。

For serviceability, the displaced shape, which storey drift ratio of the floor level at point of contraflexure on the initial mode of lateral displacement is equal to limit of the storey drift ratio, may be seen as target displacement mode. Based on the target displacement mode of frame- shear wall structure in the serviceability performance level, the equivalent parameter can be obtained.

对于使用良好性能水平，将侧移曲线上反弯点对应的楼层处的层间位移角刚好达到相应限值时的侧移曲线作为目标侧移曲线，据此计算等效单自由度体系的等效参数以及原结构的基底剪力和各质点的水平地震作用。

Compared with the method of Lg[N00-N], the method of Lgderivative is more accurate. A simple and flexible signal source of multiple decay was designed with the linear adding of many RC charging signals. Two suits of multiple decay data which are acquired independently over a 10th order time span indicate that, the shape of the Lg derivative peak is coherent with its theoretical peak unitarily.

独立进行的两组不同的10 个时间数量级的数据都表明，复杂衰减过程的实验数据的K-Lg微分峰形曲线，与以各元件RC 值计算出的衰减寿命值和测量各单一充电过程的衰减量实验数据为参数，再由理论公式产生的曲线比较，两者在曲线整体形状上有很好的一致性。

Based on the experimental results and adopting the most common used method, the coefficient of cyclic properties and curve of fatigue life versus strain of LCF of 3OCr2MoV were drawn. Comparisons between experimental results and similar curves were made.

采用最通用的疲劳估算方法拟合出了30Cr2MoV转子钢的常温和高温550℃下的低周疲劳参数和循环应力-应变曲线以及低周疲劳寿命曲线，并将试验结果与同类曲线进行了比较。3。

For the application of Mathematica in the differential geometry,this paper introduces how to processe the curve curvature and the torsion questions,the graphic expression of the curvature and the torsions,and draw curves by the curvature and the torsions. Curvature ; torsion ; solution curve ; osculating plane ; natural parameter ; natural equation

利用Mathematica，只要输入有关系统命令就可以得到期望的结果。1曲率和挠率及其图形意义假设R3上的曲线一般参数表示为r=r它的曲率和挠率计算公式是：κ=‖r′×r&‖‖r′‖3τ=‖r′×r‖我们知道，空间曲线r=r在一点(s=s0)邻近的近似方程为ξ=sη=120κs2ζ=160κ0τs3通过近似方程可以确定曲线在其基本三棱形的三个平面(即密切平面，法平面，从切平面)上的投

But we don't care about Battlegrounds.

但我们并不在乎沙场中的显露。

Ah! don't mention it, the butcher's shop is a horror.

啊！不用提了。提到肉，真是糟透了。