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对测斜管所监测的应变提出一种新的位移转换方法,基于等截面悬臂梁模型构造位移函数,根据位移和应变的关系建立矩阵方程,采用Moore-Penrose广义逆方法,通过光纤Bragg光栅应变传感器获取的一系列测点应变值,得到方程各待定系数的最佳最小二乘解,从而方便、准确地获得测斜管所在处边坡任意高度位移值。通过等比例数值模型以及室内缩尺模型验证了文中位移转换方法的准确性,并将其应用于吊水岩边坡的稳定性实时监测,与局部有限元强度折减法相结合来评定边坡的稳定安全性,进一步验证了该转换方法的有效性。
A new displacement transformation method is proposed for the strain monitored by the inclinometer tube. The displacement function is constructed based on the cantilever beam with equal cross section. The matrix equation is established according to the relationship between displacement and strain. Moore-Penrose generalized inverse method, The sensor obtains a series of measured point strain values, and obtains the best least squares solution of the undetermined coefficients of the equations, so as to conveniently and accurately obtain the arbitrary height displacement value of the slope where the inclinometer pipe is located. The accuracy of the displacement transformation method is verified by the isometric numerical model and the indoor scale model. The method is applied to the real-time monitoring of the stability of the suspended rock slopes. Combined with the local finite element strength reduction method, The stability of security further verifies the validity of the conversion method.