摘要
为避免数值微分造成初始误差的病态放大,以某基坑工程监测数据为例,通过采用线性插值法、三次样条法、最小二乘法和光顺样条法对围护结构同深度水平位移随时间变化的数据处理方法作比较,以力求找到一种可行的算法.结果表明,线性插值法和三次样条不能表现出可靠的水平位移速率;在数据量较大时,最小二乘法也不适用;光顺样条法可以得到较满意的结果,比较适用于对围护结构水平位移速率整体变化趋势的计算.
The horizontal displacement rate in retaining structure of foundation pit is an important indicator as the judgment of pit security status. In this paper, a pit monitoring data is taken as an example. The linear interpolation, the cubic spline, the least squares and the smoothing spline are used to compare the treatment methods for the data change of horizontal displacement on the same depth so as to find a feasible calculation method. The results show that the linear interpolation and the cubic spline can't be indicative of a reliable horizontal displacement rate. The least-squares are not appropriate in large amounts of data. The smoothing spline can draw a more reliable rate and is more suitable for the calculation of changes of the horizontal displacement rate in the overall trend.
出处
《重庆工学院学报(自然科学版)》
2009年第1期41-45,共5页
Journal of Chongqing Institute of Technology
基金
国家自然科学基金资助项目(50534040)
关键词
基坑
围护结构
水平位移
数据拟合
光顺样条
pit
retaining structure
horizontal displacement
rate
data fitting
smoothing spline