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基于分形插值的混凝土坝变形趋势分析 被引量:3

Analysis of Deformation Trend of Concrete Dam Based on Fractal Interpolation
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摘要 研究混凝土坝的变形趋势对判别大坝变形状态、保证大坝安全具有重要意义。针对混凝土坝的变形曲线呈现出明显的非线性特征,引入分形插值理论,首先利用分形维数识别混凝土坝变形时间序列的分形特征,然后基于分形插值函数建立了变形趋势的预测模型,并对变形状态进行判别。以某混凝土坝段变形为例,采用分形插值方法对坝段某高程水平位移的变形趋势进行预测,并与统计模型预测结果进行对比,结果表明,分形插值方法能更好地拟合变形曲线,表征大坝变形特性。 Studying the deformation trend of concrete dams is of great significance for judging the deformation state of dams and ensuring dam safety.In view of the obvious nonlinear characteristics of the deformation curve of concrete dams,the fractal interpolation theory was introduced.First,the fractal dimension of the concrete dam deformation time series was identified by the fractal dimension and then a prediction model of the deformation trend was established based on the fractal interpolation function.Taking the deformation of a concrete dam section as an example,the fractal interpolation method was used to predict the deformation trend of a horizontal displacement at a certain elevation of the dam section and compared with the prediction result of the statistical model.The results show that the fractal interpolation method can better fit the deformation curve,characterize the dam deformation characteristics and provide a new idea for the analysis of the deformation evolution trend of concrete dams.
作者 刘亮亮 陈旭东 LIU Liangliang;CHEN Xudong(College of Water Resources Science and Engineering,Zhengzhou University,Zhengzhou 450001,China)
出处 《人民黄河》 CAS 北大核心 2020年第8期146-149,共4页 Yellow River
基金 国家自然科学基金资助项目(51609217)。
关键词 混凝土坝变形 分形插值理论 迭代函数系统 变形分析 concrete dam deformation fractal interpolation theory iterative function system deformation analysis
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