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灰色理论与虚边界元法在位移反分析中的应用

APPLICATION OF GREY SYSTEM THEORY AND FICTITIOUS BOUNDARY ELEMENT METHOD IN BACK ANALYSIS OF DISPLACEMENT
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摘要 本文根据灰色系统理论,用量测位移的反时间序列建立灰色GM(1,1)模型,以此模型预测巷道围岩在量测前发生的位移,然后以断面上围岩切向应力量测值和围岩收敛值以及量测前已释放的位移预测值之和为原始数据,用虚边界元法建立包含独立反算参数的线性方程组并求解各参数,最后求取加权平均后的综合反算值,并将其输入虚边界元程序,求出相应测线的相对位移,得到了令人满意的结果。 Based on the theory of Grey system, a GM <1.1) grey model was established by reverse time sequence of displacement measurement and used to predict the displacement of tunnel surrounding rock which took place before measurement.Then, based on the original bata such as the measured tangential stress value on the section of surrounding rock and the sum of measured displacement value and the predicted displacement value before measurement, a linear equation including separately reversely-determined parameters was established with fictitious boundary element method and various parameters were obtained by the solution of the equation. Finally, the weighted average of each reversely-determined value was obtained and imputted into fictitious boundary element program to extract the relative displacement of relevant surveying line,resulting in satisfactory results.
作者 曹庆林
机构地区 中南工业大学
出处 《长沙矿山研究院季刊》 北大核心 1990年第3期69-78,共10页
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参考文献2

  • 1刘怀恒.地下工程位移反分析—原理、应用及发展[J]西安矿业学院学报,1988(03).
  • 2S. Sakurai,K. Takeuchi. Back analysis of measured displacements of tunnels[J] 1983,Rock Mechanics and Rock Engineering(3):173~180

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