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分形维数测定方法对比分析

Comparative analysis of fractal dimension determination methods

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【作者】 丁俊孙洪泉

【Author】 Ding Jun,Sun Hongquan

【机构】 苏州科技学院土木工程学院

【摘要】 应用分形几何研究钢筋混凝土结构裂缝扩展形式,表明结构表面裂缝的分形维数与结构力学性能之间存在良好的线性相关性;为了准确测定分形维数,结合工程实例对比分析了盒计数法和数字图像盒维数法测得的分维值,并讨论各自的优缺点及各自测定的条件,结论对分维值的准确测定起到一定的指导作用。

【Abstract】 Fractal geometry is used to investigate the crack expansion mode of reinforced concrete structures,it shows that good linear correlations exist between the fractal dimension of surface crack and the mechanical properties of the damaged structure;In order to determine fractal dimension exactly,in combination with practical engineering,the fractal dimensions determined by the box-counting method and digital image box dimension method were compared and analyzed,and the advantages and the disadvantages of these methods and their measurement conditions were discussed,and the conclusion provides a certain guidance for exact determination of the fractal dimension.

  • 【文献出处】 工程建设 ,Engineering Construction , 编辑部邮箱 ,2010年05期
  • 【分类号】TU375
  • 【被引频次】12
  • 【下载频次】358
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