查询词典 torsion curve

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

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 parameter equation, tangent, normal plane, the length of the arc, curvature, the basic equation of the spatial curve, torsion and the equation of the curve in flat surface etc.

为解决实际中各种空间共轭曲面问题，分析和评价各种传动装置的几何特性和传动性能，为探索新型的传动装置奠定基础。

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

A necessary and sufficient condition for the curve being torsion curve in every sub-interval is given.

当张力参数趋于零或趋于无穷大时的极限曲线，分别是等距节点的有理三次B样条曲线和其控制多边形，故张力参数可用于调节曲线的光顺性。

According to the spline theory we presented a shape matching algorithm based on the similarity matrix of curvature and torsion values of 3D curve, we reduced the 3-D curve matching task into a 1-D string matching problem, which makes the matching more veracious and can be used on the 2D or 3D curve matching.

周期性离散曲率函数具有和原有曲率相似的位移、旋转、缩放等特性，为提高匹配的准确度，利用高斯函数进行平滑处理，取得了较好的结果，同时该方法具有直观、速度快等优点，在2D轮廓曲线的匹配中，具有实用可靠的用途。

According to the Miner damage cumulative the fatigue life of torsion bar is analyzed and predicted based on two equivalent stress amending means Goodman and Gerber, combined with vehicle's driving environment, allocated proportion of driving load cases and material characteristic curve of torsion bar. The computational results indicate that Goodman is more conservative than Gerber and the difference between the predicted results is about seven times.

依据Miner线性损伤累积理论，结合车辆行驶环境和行驶工况的分配比例和扭杆弹簧材料特性曲线，采用Goodman法和Gerber法2种等效应力修正方法，对扭杆弹簧的疲劳寿命进行分析和预测，其计算结果表明Goodman法比Gerber法保守，两者之间的预测结果相差约7倍。

Several objective spins of solid cylinder torsion deformation were rendered and the large deformation elastoviscoplastic constitutive relationship s were derived for the Oldroyd stress rate,the generalizing Jaumann stress rate and the stress rate with respect to the spin of the frame of deformation rate with the aid of stress-strain curve from torsion test.

应用等向强化的J2流动塑性理论，建立了以扭转试验的应力—应变曲线为基准的，分别由Oldroyd、广义Jaumann应力导数和相对于变形率标架旋率的应力导数表述的大变形弹塑性本构关系。

In the paper,spin of deformation rate frame Ωd is discussed in the process of torsion test and it is derived large strain constitutive relationship of elastoviscoplastic based on τ—γ curve of torsion test while objective stress rate is based on spin of deformation rate frame Ωd.

选用扭转实验标定大变形弹塑性本构关系，讨论在实心圆轴扭转实验中，变形率标架旋率Ωd的具体形式。

Torsion would be produced when curve beam under self-weight load, and, torsion and radial force would be produced when structure under prestress load. Such forces would brought prominent side reactions.

在施工阶段和运营阶段，就曾发生过梁体侧向倾覆、支座脱空，墩柱开裂、梁体体侧移以及腹板侧向崩裂等曲线梁结构侧向效应病害，这是技术人员对曲线桥特性把握不够造成的。

It has been put forward that there exists single Ball point and double Ball points on the symmetrical connecting-rod curves of equilateral mechanisms.

从鲍尔点的形成原理出发，分析对称连杆曲线上鲍尔点的产生条件，提出等边机构的对称连杆曲线上有单鲍尔点和双鲍尔点。

The factory affiliated to the Group primarily manufactures multiple-purpose pincers, baking kits, knives, scissors, kitchenware, gardening tools and beauty care kits as well as other hardware tools, the annual production value of which reaches US$ 30 million dollars.

集团所属工厂主要生产多用钳、烤具、刀具、剪刀、厨具、花园工具、美容套等五金产品，年生产总值3000万美元，产品价廉物美、选料上乘、质量保证，深受国内外客户的青睐