torsion curve

The shape of the curve in the wellbore trajectory of horizontal wells is a complex three-dimensional space curve of arbitrary curvature and torsion. Its curved shape greatly affects the status of the column by the force and analysis of the follow-up column mechanics.

水平井全井井眼轨迹曲线形状是一条复杂的具有任意曲率和挠率的三维空间曲线，其弯曲形态极大地影响了管柱的受力状况和对后续的管柱力学的分析计算。

A new and simple proving method on the famous theorem of total torsion," The total torsion of closed spherical curve is zero", and two generalized theorems for the. theorem are presented in the paper.

本文给出了关于全挠率的一个著名定理：球面闭曲线的全挠率为零一个新的简单证法，并且给出了这个定理的两个推广定理。

Through the comparison of three torsion strength formulae of circular shafts, the error function, error curve and error maximum between those formulae and the formulae of true shear stress in torsion are presented.

通过对三个圆轴扭转强度计算公式的比较，给出了它们与真实扭转强度公式的误差函数和曲线及误差的最大值。

A PROOF AND GENERALIZATION FOR THE THEOREM OF TOTAL TORSION OF CLOSED SPHERICAL CURVE Using this method, the synthesis of spherical mechanism is converted into a problem of spherical curve fitting.

球面闭曲线全挠率定理的证明及推广将球面四杆机构函数综合和轨迹综合转换为位置综合问题，建立了球面四杆机构运动综合的统一理论与方法。

Railway bridge girders on curve would suffer restrained torsion due to the fact that the line of action of live laod and its reaction do not pass through the flexural center of the cross-section of the girder.

曲线上的铁路桥梁，由于活载及其引起的反力不通过梁体横截面的弯曲中心而产生约束扭转。