缓和曲线

In the paper,the bisection method is used to solve problems of the connection of two highway curve s,to calculate transitional length between two circular curves.

介绍了用二分法求解方程的实用方法，并详细地介绍了公路曲线对接和公路圆曲线间缓和曲线长度计算问题的计算方

As the rapid development of highway,the widening of easement curve segment is more and more at a premium,but the calculation of coordinates and length of inside and outside line is very complex,however,the introduction of this content is very little .

随着高速公路的快速发展，缓和曲线段的加宽越来越受到重视，但是加宽后的内外边线坐标和曲线长的计算非常麻烦，关于这方面的介绍也非常少，故通过理论计算，提出内外边线的坐标和曲线长的计算公式，具有一定的参考价值。

According to road designing data of mileage,coordinate,azimuth angle of tangent or straight line,curve radius,the length of spiral line from main point of curve or straight line starting point,we can calculate the coordinates of center line points and boundary line point s in any form of road under the same coordinate system.

根据线路设计资料提供的曲线主点里程、坐标、切线方位角、曲线半径、缓和曲线长度的已知数据，计算出任意线形的中桩、边桩在线路统一坐标系中的坐标，利用全站仪极坐标放样程序，以线路附近的控制点或加密点为测站，准确、快速放样各点。

The article introduces the interrelation between superelevation transition section and transition curve,and proposed the specific calculating method.

结合《公路工程技术标准》、《公路路线设计规范》等平面线形设计中设置缓和曲线的目的，介绍了超高过渡段和缓和曲线之间的相互关系，并提出进行超高设计的具体计算方法。

General procedures for measuring highway as follows: First check the correctness of the original data, including principal point coordinates, distance, azimuth,桩号miles, round curves, relaxation curves and vertical curve elements of the curve, more than longitudinal slope and the slope design of high, ultra high and wide, and draw good draft for field use.

公路测量的程序一般为：首先校核原始资料的正确性，主要包括主点坐标、距离、方位角、里程桩号、圆曲线、缓和曲线和竖曲线的曲线要素、纵坡和边坡坡比、设计高、超高和加宽等，并画好草图以备外业使用。

The paper has proved practical formula to allocate deflection angle, and it's key problem of unsymmetrical curve calculation.

该数学模型，适用于道路对称曲线和不设缓和曲线的圆曲线，对此，文中进行了详细的叙述。

The relations of parametric equations with the route coordinates and the part coordinates are found out according to the curve model,the parametric equations of middle and side stakes in circular curve and easement curve are derived,thence the value of parameters is obtained,the solution procedure is got.

根据曲线模型，找出线路控制坐标系与局部坐标系坐标之间的参数方程关系，推出了缓和曲线及圆曲线中边桩坐标的参数方程，代入已知量求得参数的值，给出了求解步骤。

Having demonstrated the properties of the guard barrier curve of easement section for expressway and bridge,the paper presents the chord offsec setting - out method fitted the characteristics and condition of the guard barrier; the proposed paramete model of the guard barrie curve lays the foundation for its setting-out .

该文在论证了高速公路和桥梁缓和曲线段护栏曲线的性质后，提出了适合护栏特点和条件的弦线支距法放样方法；推出的护栏曲线参数模型，奠定了其测设的基础，并据此讨论了现有测设方法的精度问题，所得结论对护栏曲线的测设具有重要意义。

With minimizing the move distance as the optimization objective, the circular curve radius and circle center coordinate were then optimized, the transition curve length, the move distance of each measured points, the mileages and the coordinates of the feature points and so on were further computed.

首先利用坐标法计算各测点的坐标，再计算正矢，然后根据正矢的变化规律选定圆曲线上的测点，用最小二乘法拟合出既有线圆曲线的半径和圆心坐标，并以拨正量最小为优化目标，优化圆曲线半径及圆心，进而计算出缓和曲线的长度、各测点的拨正量、特征点的里程和坐标等。

Based on the design case of Shuangjianghe bridge on the segment from Tongdao to Jili in G209 national high-way which was being built, the linear cantilever slabs was made to fit transition curve of the route.

以国道G209通道至吉利段改造工程中的双江河大桥设计实例，研究位于小半径缓和曲线上预制空心板梁的外悬臂折线逐步逼近缓和曲线线形，与桥上路线线形一致。

As she looked at Warrington's manly face, and dark, melancholy eyes, she had settled in her mind that he must have been the victim of an unhappy attachment.

每逢看到沃林顿那刚毅的脸，那乌黑、忧郁的眼睛，她便会相信，他一定作过不幸的爱情的受害者。

Maybe they'll disappear into a pothole.

也许他们将在壶穴里消失