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为了利用有限的监测数据评判隧道衬砌裂缝稳定性,应用小波变换对衬砌裂缝监测数据进行分析,去除因环境变化与测试误差而产生的高频部分,保留因围岩压力变化而产生的低频部分,实现了裂缝时效变形的分解。应用灰色理论建立了衬砌裂缝时效变形的GM(1,1)灰色预测模型,实现了利用前期监测数据预测衬砌裂缝后期发展。应用尖点突变模型的平衡条件建立了衬砌裂缝稳定性判据。构建了基于灰色突变理论的隧道衬砌裂缝诊断模型,并对2条典型衬砌裂缝进行了分析。分析结果表明:2条裂缝稳定性判据大于0,均未达到失稳条件;其实测宽度变化量小于0.2mm,宽度变化速率小于0.002mm·d-1,处于稳定状态,因此,该诊断模型可准确预测衬砌裂缝发展趋势。
In order to evaluate the stability of tunnel lining cracks with limited monitoring data, the monitoring data of lining cracks are analyzed by using wavelet transform, the high frequency part due to environmental change and test error is removed, the low frequency part due to the pressure change of surrounding rock is retained, Aging crack deformation achieved. The GM (1,1) gray prediction model of lining crack aging deformation was established by using gray theory, which realized the prediction of late development of lining cracks by using the previous monitoring data. The stability criterion of lining crack is established by using the equilibrium condition of cusp catastrophe model. The diagnosis model of tunnel lining cracks based on gray catastrophe theory is built, and two typical lining cracks are analyzed. The results show that the stability criterion of two cracks is greater than 0, and the condition of instability is not reached. In fact, the variation of measured width is less than 0.2mm and the rate of change of width is less than 0.002mm · d-1, so the model is stable. Accurate prediction of the development trend of lining cracks.