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基于灰色突变理论的隧道衬砌裂缝诊断模型

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Keywords: 隧道工程,衬砌裂缝,小波变换,灰色理论,突变理论,诊断模型

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Abstract:

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。

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