路基不均匀沉降引起有砟轨道沉降的计算方法

Calculation Method of Ballasted Track Settlement Caused by Subgrade Differential Settlement

摘要:

针对路基不均匀沉降引起有砟轨道的沉降问题，以钢轨沉降变形的连续弹性点支承梁模型矩阵解法为基础，引入描述余弦型路基不均匀沉降的非线性边界条件及相关假定条件，提出了基于连续弹性点支承梁模型的路基不均匀沉降引起轨面沉降计算方法，并编制了C++计算程序。并通过上海市轨道交通2号线西延伸工程盾构法隧道下穿沪昆铁路线工程，结合路基实测沉降数据，采用该方法计算了路基沉降引起的轨面沉降，并与实测轨面沉降数据进行对比分析，结果表明：计算所得钢轨面的沉降槽宽度与实测结果基本相同，沉降幅值比实测值略小，但相差不超过1mm（约为轨面沉降值的4%）。

Abstract:

The calculation method of track settlement which caused by subgrade differential settlement, is based on continuous elastic point supported beam model. Then the method is put forward through introducing the nonlinearity boundary conditions of cosine-type subgrade differential settlement. And the corresponding C++ calculation programming is also worked out. Finally, the calculation method is applied to the actual engineering in western extended section of Shanghai metro line 2 of shield tunnel construction, which underpass Shanghai-kunming railway. The comparative analysis between the computation result and field measurement data is conducted. And it can be concluded that the calculation result can meet the actual measurement well. The calculation value of track settling tank width is as same as the measured value basically, and the calculated subsidence amplitude of track settling tank is slightly smaller than the measured value, but the difference is less than 1 mm (approximately 4% of track settlement value).