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摘要: 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。Abstract: In order to evaluate the stability of crack for tunnel lining by using finite monitoring data, wavelet transform was applied to analyze the monitoring data of cracks for tunnel lining, the high frequency part caused by environmental change and test error was eliminated, and the low frequency part caused by surrounding rock pressure variation was kept, thus, the time- dependent deformation of lining crack was decomposed. The GM (1, 1) gray prediction model of time-dependent deformation of lining crack was built based on gray theory to predict the later development of lining crack by using early monitoring data. The stability criterion of lining crack was established based on the equilibrium conditions of cusp catastrophe model. The diagnostic model of lining crack was established based on gray and catastrophe theories, and two typical lining cracks were analyzed based on the model. Analysis result indicates that the stability criterion values of two cracks are larger than 0, so, they do not meet the instability condition. The measured variations of crack widths are less than O. 2 mm, the variation rates are less than O. 002 mm· d-1, which shows that two cracks are basically stable. Obviously, this diagnostic model can predict the development tendency of lining cracks correctly.
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Key words:
- tunnel engineering /
- lining crack /
- wavelet transform /
- gray theory /
- catastrophe theory /
- diagnostic model
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图 5 小波重构后裂缝的宽度变化曲线
Figure 5. Width variation curves of cracks after wavelet reconstruction
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