缓和曲线中线与其平行线之间面积的精确推导

Accurate Derivation of Square Between Central Line and Its Parallel Line of Transition Curve

该文通过对缓和曲线(包括卵形曲线)线元特性的分析,针对其路段左右侧路床平面面积的计算,采用积分方式推导出通用的面积计算公式,从而可以精确计算特定的缓和曲线路段中线内外侧面积,并用算例验证了其正确性。该方法为工程计量提供了可靠依据。

In this paper,based on the analysis for line element characteristics of transition curve(including the oval curve),according to calculate the bed plane square on the left and right side of transition curve section,the general square calculation formula is deduced by integral method,so as to accurately calculate the inner and outer side square of the central line of specific section of transition curve,and its correctness is verfied by engineering example.This method provides the reliable basis for engineering measurement.