无反射棱镜全站仪打桩定位的方法与数学模型

Method and Model of Pile-Positioning with reflectorless Reflection Total Station

探讨如何使用无棱镜反射全站仪对圆桩进行定位的问题,即利用无反射棱镜全站仪定位的功能和快速便捷准确的特点,通过观测桩体上4个点的三维空间坐标,通过一定的数学模型确定桩轴线方位角、倾角、桩顶最低点高程和设计高程面桩中心的坐标。文中研究了计算的数学模型,即通过点与点之间、向量与向量之间的空间关系列立方程组,然后通过一定的变换和非线性方程组的数值解方法得到定位的数据。通过实际观测以及对实际数据处理的程序实现,说明该方法是切实可行的,对近岸打桩以及检验基于GPS-RTK技术的打桩定位系统具有重要意义。

It is purposed to solve the problem of positioning and orienting a Circular pile with reflectorless. Total Station,which has the positioning ability and advantages of faster and accurate. The parameters（such as pile＇s azimuth and obliquity, the height of tip, the coordinate of axis in designing height） can be calculated with some points on the piling, which can be measured by reflectorless Total Station. It studies the mathematical model through the equations of the spatial relation point and vector, gets the positioning data through the transformation and solves the systems of nonlinear equations. The actual measurement and program realization of data management both illustrate that these methods are useful for piling engineering and they can pile along the shore simply and check the precision and stabilization of GPS-PTK Piling System.