不耦合偏心装药结构爆破损伤破坏的分形研究

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振动与冲击 ›› 2020, Vol. 39 ›› Issue (12) : 129-134.

论文

杨仁树1,3，肖成龙2，李永亮1,2，许鹏2，丁晨曦2，郑昌达2，康一强2

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A fractal study on blasting damage of an eccentric decouple charge structure

YANG Renshu1,3，XIAO Chenglong2，LI Yongliang1,2，XU Peng2，DING Chenxi2，ZHENG Changda2，KANG Yiqiang2

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摘要

为研究不耦合偏心装药结构的爆后损伤范围与损伤程度，以有机玻璃(PMMA)为实验材料，设计爆破二维模型实验，通过数字图像处理方法，计算炮孔周围不同区域的损伤变量，并基于计盒维数理论，编写MATLAB程序计算不同区域爆生裂纹的分形维数。研究表明：（1）不耦合偏心装药结构的爆后损伤分布呈现显著的非对称性，损伤变量的数值关系：偏心装药耦合侧＞中心不耦合装药结构＞偏心装药不耦合侧。（2）爆生裂纹分布符合分形规律，分形维数的相对大小与损伤变量具有一致性，分形维数可准确表征爆后介质的损伤破坏。（3）通过回归分析与线性拟合，得到损伤变量与分形维数之间的幂函数关系，建立了相应的损伤预测模型。

Abstract

In order to study the blasting damage range and damage degree of eccentric decouple charge structure, using PMMA as experimental material, design eccentric blasting two-dimensional model experiment. Through the digital image processing method, calculate damage variables in different areas around the blasthole. Based on the box-count dimension theory, the fractal dimension of the cracks in different regions is calculated by MATLAB programming. Researches show that: (1) The damage distribution of eccentric blasting shows significant asymmetry. The numerical relationship between the damage variables is: eccentric charge coupling side＞center uncoupled charge structure＞eccentric charge uncoupled side. (2) Crack distribution accords with fractal rule. The relative size of the fractal dimension is consistent with the damage variable. Fractal dimension can accurately characterize the damage of medium under blasting loading. (3) Through the regression analysis and linear fitting, the power function relationship between the damage variable and the fractal dimension is obtained. A corresponding damage prediction model is established.

Key words

smooth blasting

/ eccentric decouple charge structure / asymmetric effect / damage variable / fractal dimension

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杨仁树1,3，肖成龙2，李永亮1,2，许鹏2，丁晨曦2，郑昌达2，康一强2. 不耦合偏心装药结构爆破损伤破坏的分形研究[J]. 振动与冲击, 2020, 39(12): 129-134

YANG Renshu1,3，XIAO Chenglong2，LI Yongliang1,2，XU Peng2，DING Chenxi2，ZHENG Changda2，KANG Yiqiang2. A fractal study on blasting damage of an eccentric decouple charge structure[J]. Journal of Vibration and Shock, 2020, 39(12): 129-134

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