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Application of Digital Image Processing Technology in Measuring Elastic Modulus of Wire
DOI: 10.12677/APP.2018.96035, PDF, HTML, XML, 下载: 746  浏览: 1,202  科研立项经费支持

Abstract: Elastic modulus is a physical quantity which describes the resistance of solid materials to deformation. Based on the traditional stretching method, and combined with the popular image processing technology, by using MATLAB data processing, this experiment designs and implements a digital image processing based on the micro-displacement measurement of elastic modulus measurement system.

1. 引言

2. 实验方案

$E=\frac{F/A}{n/L}=\frac{4\text{mgL}}{{\text{πd}}^{2}n}$

Figure 1. Schematic diagram of the experimental device

Figure 2. Schematic diagram of markers

3. 数据处理

$F=\left[\begin{array}{cccc}f\left(0,0\right)& f\left(0,1\right)& \dots & f\left(0,n-1\right)\\ f\left(1,0\right)& f\left(1,1\right)& \dots & f\left(1,n-1\right)\\ ⋮& ⋮& ⋮& ⋮\\ f\left(m-1,0\right)& f\left(m-1,1\right)& \dots & f\left(m-1,n-1\right)\end{array}\right]$

Figure 3. Schematic diagram of the relationship between matrix row values and pixel points

$S=\frac{2mm}{size\left(一个黑色部分的宽所占像素点数\right)}$

Table 1. Wire extension pixel count () and actual elongation (L1)

Figure 4. Schematic diagram of data fitting results

4. 结语

NOTES

*通讯作者。

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