三次样条插值函数在桥梁挠度测量中的应用研究

桥梁挠度测量是桥梁检测的重要组成部分。通过在所测桥梁上布设倾角仪,测量各测点的倾角值,然后用专用软件给出关心桥梁截面的挠度、倾角和曲率值,从而为桥梁安全性评价提供依据。该文介绍了利用倾角仪测量桥梁挠度的方法及其计算原理,通过在所测桥梁上布设倾角仪,测量倾角仪布点处的倾角值,然后利用三次样条插值函数构建桥梁挠度曲线函数,从而计算出所求桥梁截面的挠度、倾角和曲率值,为桥梁安全性评价提供依据。该方法计算简便,不仅适用于简支梁和静载情形,而且适用于连续梁和动载情形。

Application of Cubic Spline Interpolation in Bridge Deflection Measurement

Bridge deflection measurement is the important composed part in the bridge inspection and measurement. The article introduces the method and its calculation principle of the inclinometer used to measure the bridge deflection. The inclinometers are installed at the inspected bridge to measure the obliquity values at the installed points of inclinometers,and then the cubic spline interpolation is utilized to build the bridge deflection curve function so as to calculate deflection,obliquity and curvature value of the bridge section able to provide the basis for evaluating the bridge safety. This method is simple and effective,not only to be applied the simple supported beam and static load cases,but also in the multi-span beam and dynamic load situations.