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在隧道和高铁施工测量中,测设点不能确保在缓和曲线段的中线上。为求得测设点移动至缓和曲线中线的距离和方向,提出了一种通过确定测设点所在的缓和曲线的法线,然后计算该法线处缓和曲线长度的计算方法,并明确了缓和曲线正算、反算的概念,建立了缓和曲线反算方程及二分法和改正数法求解过程。实际计算结果精度表明该计算方法精度高,满足工程要求。
In tunneling and high-speed rail construction surveys, the survey point can not be ensured on the midline of the curve segment. In order to determine the distance and direction of the measuring point moving to the center line of the easing curve, a method of calculating the length of the easing curve by determining the normal of the easing curve where the measuring point is located is proposed, The curve is being calculated, the concept of backcalculation, the establishment of the anti-back-easement curve equations and dichotomy and correction number of the process of solving. The accuracy of the actual calculation results shows that the calculation method has high precision and meets the engineering requirements.