CN114662374B - Method for identifying contour evolution characteristics of construction waste roadbed filler particles in mechanical test - Google Patents
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Abstract
本发明公开了一种力学试验中建筑垃圾路基填料颗粒轮廓演化特征识别方法,包括以下步骤:S1:获取再生填料的粒料排列图像;S2:获取各组粒档中各个颗粒的形状参数;S3:分别获取力学实验后各组粒档中各个颗粒的分形维数、丰度、圆形度、形状系数和破碎率;S4:计算各个颗粒的形状参数在力学实验前后的平均值,得到各组粒档内不同颗粒的形状轮廓演化;S5:计算不同指标与破碎率的关联度,并将关联度最大值对应的参数作为对再生填料破碎影响最大的因素。本发明可有效分析再生填料中不同组分在力学试验前后的轮廓演化特征,可以深入揭示了不同组分的破碎机理,能够促进对建筑垃圾填料路用性能的认知。
The present invention discloses a method for identifying the contour evolution characteristics of construction waste roadbed filler particles in a mechanical test, comprising the following steps: S1: obtaining a particle arrangement image of the recycled filler; S2: obtaining the shape parameters of each particle in each group of particle files; S3: respectively obtaining the fractal dimension, abundance, circularity, shape coefficient and crushing rate of each particle in each group of particle files after the mechanical test; S4: calculating the average value of the shape parameters of each particle before and after the mechanical test, and obtaining the shape contour evolution of different particles in each group of particle files; S5: calculating the correlation between different indicators and the crushing rate, and taking the parameter corresponding to the maximum correlation value as the factor with the greatest influence on the crushing of the recycled filler. The present invention can effectively analyze the contour evolution characteristics of different components in the recycled filler before and after the mechanical test, can deeply reveal the crushing mechanism of different components, and can promote the recognition of the road performance of construction waste fillers.
Description
技术领域Technical Field
本发明属于轮廓演化技术领域,具体涉及一种力学试验中建筑垃圾路基填料颗粒轮廓演化特征识别方法。The invention belongs to the technical field of profile evolution, and in particular relates to a method for identifying profile evolution characteristics of building waste roadbed filler particles in a mechanical test.
背景技术Background technique
建筑垃圾用于路基填筑的问题在于其中含有较多砖块等软弱组分,施工及运营过程中易发生二次破碎问题,从而引起较大的沉降变形。所以对再生填料中各组分的二次破碎特征研究就变得极为必要。目前常用的方法是对再生填料力学试验前后分别进行筛分,只能得到填料级配的变化趋势,不能对哪种特征参数的粒料的更易破碎以及破碎到何种程度进行具体分析。如徐鹏程在“再生砼砖混合集料破碎分形规律与路面基层或底基层用集料级配确定方法”一文中对破碎前后再生混合集料分别进行筛分和人工分拣,探究再生混合集料在破碎前后质量、体积等一系列变化。现有的方法只能得到不同粒档填料质量、体积的变化趋势,不能对各粒档填料的具体破碎行为及形状轮廓演化进行细致的定量化分析及细致描述。The problem with using construction waste for roadbed filling is that it contains many weak components such as bricks, which are prone to secondary crushing during construction and operation, causing large settlement deformation. Therefore, it is extremely necessary to study the secondary crushing characteristics of each component in the recycled filler. The commonly used method is to screen the recycled filler before and after the mechanical test, which can only obtain the change trend of the filler gradation, and cannot specifically analyze which characteristic parameters of the particles are easier to crush and to what extent. For example, in the article "Fractal Law of Crushing of Recycled Concrete Brick Mixed Aggregate and Determination Method of Aggregate Grading for Pavement Base or Subbase", Xu Pengcheng screened and manually sorted the recycled mixed aggregates before and after crushing, and explored a series of changes in the mass and volume of the recycled mixed aggregates before and after crushing. The existing methods can only obtain the change trend of the mass and volume of fillers of different particle sizes, and cannot conduct detailed quantitative analysis and detailed description of the specific crushing behavior and shape profile evolution of each particle size filler.
发明内容Summary of the invention
本发明为了解决上述问题,提出了一种力学试验中建筑垃圾路基填料颗粒轮廓演化特征识别方法。In order to solve the above problems, the present invention proposes a method for identifying the evolution characteristics of the particle profile of construction waste roadbed filler in a mechanical test.
本发明的技术方案是:一种力学试验中建筑垃圾路基填料颗粒轮廓演化特征识别方法包括以下步骤:The technical solution of the present invention is: a method for identifying the particle profile evolution characteristics of construction waste roadbed filler in a mechanical test comprises the following steps:
S1:对再生填料进行筛分,获取再生填料的粒料排列图像;S1: Screening the recycled filler to obtain a particle arrangement image of the recycled filler;
S2:根据再生填料的粒料排列图像,获取各组粒档中各个颗粒的形状参数;S2: According to the particle arrangement image of the recycled filler, the shape parameters of each particle in each particle group are obtained;
S3:对再生填料进行力学实验,分别获取力学实验后各组粒档中各个颗粒的分形维数、丰度、圆形度、形状系数和破碎率;S3: Conduct mechanical experiments on the recycled filler to obtain the fractal dimension, abundance, circularity, shape coefficient and breakage rate of each particle in each particle group after the mechanical experiment;
S4:计算各个颗粒的形状参数在力学实验前后的平均值,得到各组粒档内不同颗粒的形状轮廓演化;S4: Calculate the average value of the shape parameters of each particle before and after the mechanical experiment to obtain the shape profile evolution of different particles in each group of particles;
S5:基于破碎率、分形维数、丰度、圆形度和形状系数的变化序列,计算不同指标与破碎率的关联度,并将关联度最大值对应的参数作为对再生填料破碎影响最大的因素,将各组粒档内不同颗粒的形状轮廓演化和对再生填料破碎影响最大的因素作为形状轮廓演化结果。S5: Based on the change sequence of crushing rate, fractal dimension, abundance, circularity and shape coefficient, the correlation between different indicators and crushing rate is calculated, and the parameter corresponding to the maximum correlation value is taken as the factor with the greatest influence on the crushing of the recycled filler. The shape contour evolution of different particles in each group of particle files and the factor with the greatest influence on the crushing of the recycled filler are taken as the shape contour evolution results.
进一步地,步骤S1中,采集粒料排列图像的具体方法为:对再生填料进行不同粒径的筛分,得到各组粒档;分别将各组粒档的再生填料均分为四份,并从各组粒档中随机取样;利用摄像机采集各组粒档的样本图像,得到粒料排列图像。Furthermore, in step S1, the specific method for collecting the particle arrangement image is: screening the recycled filler with different particle sizes to obtain each group of particle files; dividing the recycled filler of each group of particle files into four parts, and randomly sampling from each group of particle files; using a camera to collect sample images of each group of particle files to obtain a particle arrangement image.
进一步地,步骤S2中,颗粒包括砖块、混凝土块和石块;Further, in step S2, the particles include bricks, concrete blocks and stones;
形状参数包括颗粒的丰度C、圆形度R和形状系数F,其计算公式分别为:The shape parameters include particle abundance C, circularity R and shape coefficient F, and their calculation formulas are:
其中,A表示颗粒实际面积,B表示颗粒短轴尺寸,L表示颗粒长轴尺寸,A′表示颗粒外接圆面积,P表示与颗粒等面积圆周长,S表示颗粒实际周长。Among them, A represents the actual area of the particle, B represents the minor axis size of the particle, L represents the major axis size of the particle, A′ represents the area of the circumscribed circle of the particle, P represents the circumference of a circle with the same area as the particle, and S represents the actual circumference of the particle.
进一步地,步骤S3中,力学实验导致颗粒破碎,使各个颗粒的形状轮廓发生变化。Furthermore, in step S3, the mechanical experiment causes the particles to break, so that the shape profile of each particle changes.
进一步地,步骤S3中,各个粒档的破碎率Bg的计算公式为:Furthermore, in step S3, the calculation formula of the crushing rate Bg of each particle size is:
Bg=Σ|ΔWk|B g =Σ|ΔW k |
ΔWk=Wki-Wkf ΔW k =W ki -W kf
其中,Wki表示力学试验前颗粒级配曲线上粒档的含量,Wkf表示力学试验后颗粒级配曲线上相同粒档的含量,ΔWk表示试验前后粒档含量的绝对差。Among them, W ki represents the content of the particle size on the particle grading curve before the mechanical test, W kf represents the content of the same particle size on the particle grading curve after the mechanical test, and ΔW k represents the absolute difference in the particle size content before and after the test.
进一步地,步骤S5包括以下子步骤:Furthermore, step S5 includes the following sub-steps:
S51:将各个粒档的破碎率作为母序列,将分形维数作为第一特征序列,将丰度作为第二特征序列,将圆形度作为第三特征序列,将形状系数作为第四特征序列;S51: taking the fragmentation rate of each grain file as the parent sequence, taking the fractal dimension as the first characteristic sequence, taking the abundance as the second characteristic sequence, taking the circularity as the third characteristic sequence, and taking the shape coefficient as the fourth characteristic sequence;
S52:对母序列、第一特征序列、第二特征序列、第三特征序列和第四特征序列进行无量纲化处理,并计算无量钢化后各个特征序列与母序列之间的关联系数;S52: performing dimensionless processing on the parent sequence, the first characteristic sequence, the second characteristic sequence, the third characteristic sequence and the fourth characteristic sequence, and calculating the correlation coefficient between each characteristic sequence and the parent sequence after dimensionless tempering;
S53:计算各个特征序列与母序列之间的关联系数的平均值,并将平均值作为关联度。S53: Calculate the average value of the correlation coefficients between each feature sequence and the parent sequence, and use the average value as the correlation degree.
进一步地,步骤S51中,母序列Xb的表达式为Xb={xb(k)|k=1,2,…},第一特征序列Xw的表达式为Xw={xw(k)|k=1,2,…},第二特征序列X的表达式为Xc={xc(k)|k=1,2,…},第三特征序列Xr的表达式为Xr={xr(k)|k=1,2,…},第四特征序列Xf的表达式为Xf={xf(k)|k=1,2,…};其中,xb(k)表示各破碎率值,xw(k)表示各分形维数值,xc(k)表示各丰度值,xr(k)表示各圆形度值,xf(k)表示各形状系数值;Further, in step S51, the expression of the mother sequence Xb is Xb = { xb (k)|k = 1, 2, ...}, the expression of the first characteristic sequence Xw is Xw = { xw (k)|k = 1, 2, ...}, the expression of the second characteristic sequence X is Xc = { xc (k)|k = 1, 2, ...}, the expression of the third characteristic sequence Xr is Xr = { xr (k)|k = 1, 2, ...}, and the expression of the fourth characteristic sequence Xf is Xf = { xf (k)|k = 1, 2, ...}; wherein xb (k) represents each fragmentation rate value, xw (k) represents each fractal dimension value, xc (k) represents each abundance value, xr (k) represents each circularity value, and xf (k) represents each shape coefficient value;
步骤S52中,对各序列进行无量纲化处理,将Xi序列转换为Yi序列,其计算公式为:In step S52, each sequence is dimensionlessly processed to convert the Xi sequence into the Yi sequence, and the calculation formula is:
其中:yi(k)表示无量纲化处理后Yi序列各数据,xi(k)表示Xi序列各数据,xi(l)表示某序列平均值,n表示序列数据个数;Among them: yi (k) represents the data of Yi sequence after dimensionless processing, xi (k) represents the data of Xi sequence, xi (l) represents the average value of a sequence, n represents the number of sequence data;
步骤S52中,不同特征序列与母序列的关联系数ξi(k)的计算公式为:In step S52, the calculation formula of the correlation coefficient ξ i (k) between different feature sequences and the mother sequence is:
其中,Δb,i(k)表示k时刻两个序列的绝对差,Δmax(b,i)和Δmin(b,i)分别为各个时刻的绝对差中的最大值和最小值,ρ表示分辨系数,w表示分形维数,c表示丰度,r表示圆形度,f表示形状系数值;Wherein, Δ b,i (k) represents the absolute difference of the two sequences at time k, Δ max (b,i) and Δ min (b,i) are the maximum and minimum values of the absolute differences at each time, ρ represents the resolution coefficient, w represents the fractal dimension, c represents the abundance, r represents the circularity, and f represents the shape coefficient value;
步骤S53中,各个特征序列与母序列之间的关联系数的平均值γb,i的计算公式为:In step S53, the calculation formula of the average value γ b,i of the correlation coefficient between each feature sequence and the mother sequence is:
其中,n表示序列长度。Where n represents the sequence length.
本发明的有益效果是:现在大多采用力学试验前后分别对再生填料进行筛分的方法,仅能得到力学试验前后再生填料的级配变化,不能揭示力学试验前后不同颗粒的形状演化规律,不能揭示不同组分的破碎行为。本发明可有效分析再生填料中不同组分在力学试验前后的轮廓演化特征,可以深入揭示了不同组分的破碎机理,能够促进对建筑垃圾填料路用性能的认知。The beneficial effect of the present invention is that: currently, most of the methods of screening the recycled filler before and after the mechanical test can only obtain the gradation change of the recycled filler before and after the mechanical test, but cannot reveal the shape evolution law of different particles before and after the mechanical test, and cannot reveal the crushing behavior of different components. The present invention can effectively analyze the contour evolution characteristics of different components in the recycled filler before and after the mechanical test, can deeply reveal the crushing mechanism of different components, and can promote the understanding of the road performance of construction waste filler.
附图说明BRIEF DESCRIPTION OF THE DRAWINGS
图1为建筑垃圾路基填料颗粒轮廓演化特征识别方法的流程图;FIG1 is a flow chart of a method for identifying the particle profile evolution characteristics of construction waste roadbed filler;
图2为再生填料GS20~40-1、2、3、4图像;Figure 2 shows images of regenerated filler GS 20-40 -1, 2 , 3, 4;
图3为使用AOI工具对砖块的轮廓进行跟踪描绘图;FIG3 is a diagram showing the use of an AOI tool to track and trace the outline of a brick;
图4为选择测量项目并进行测量的过程图;FIG4 is a process diagram for selecting measurement items and performing measurements;
图5为根据输出的测量结果计算再生填料中各组分形状变化的评价指标系数图;FIG5 is a diagram showing the evaluation index coefficients for calculating the shape changes of each component in the regenerated filler according to the output measurement results;
图6为力学试验前后砖块丰度分布特征图。Figure 6 is a characteristic diagram of brick abundance distribution before and after the mechanical test.
具体实施方式Detailed ways
下面结合附图对本发明的实施例作进一步的说明。The embodiments of the present invention will be further described below in conjunction with the accompanying drawings.
如图1所示,本发明提供了一种力学试验中建筑垃圾路基填料颗粒轮廓演化特征识别方法,包括以下步骤:As shown in FIG1 , the present invention provides a method for identifying the particle profile evolution characteristics of construction waste roadbed filler in a mechanical test, comprising the following steps:
S1:对再生填料进行筛分,获取再生填料的粒料排列图像;S1: Screening the recycled filler to obtain a particle arrangement image of the recycled filler;
S2:根据再生填料的粒料排列图像,获取各组粒档中各个颗粒的形状参数;S2: According to the particle arrangement image of the recycled filler, the shape parameters of each particle in each particle group are obtained;
S3:对再生填料进行力学实验,分别获取力学实验后各组粒档中各个颗粒的分形维数、丰度、圆形度、形状系数和破碎率;S3: Conduct mechanical experiments on the recycled filler to obtain the fractal dimension, abundance, circularity, shape coefficient and breakage rate of each particle in each particle group after the mechanical experiment;
S4:计算各个颗粒的形状参数在力学实验前后的平均值,得到各组粒档内不同颗粒的形状轮廓演化;S4: Calculate the average value of the shape parameters of each particle before and after the mechanical experiment to obtain the shape profile evolution of different particles in each group of particles;
S5:基于破碎率、分形维数、丰度、圆形度和形状系数的变化序列,计算不同指标与破碎率的关联度,并将关联度最大值对应的参数作为对再生填料破碎影响最大的因素,将各组粒档内不同颗粒的形状轮廓演化和对再生填料破碎影响最大的因素作为形状轮廓演化结果。S5: Based on the change sequence of crushing rate, fractal dimension, abundance, circularity and shape coefficient, the correlation between different indicators and crushing rate is calculated, and the parameter corresponding to the maximum correlation value is taken as the factor with the greatest influence on the crushing of the recycled filler. The shape contour evolution of different particles in each group of particle files and the factor with the greatest influence on the crushing of the recycled filler are taken as the shape contour evolution results.
在本发明实施例中,步骤S1中,采集粒料排列图像的具体方法为:对再生填料进行不同粒径的筛分,得到各组粒档;分别将各组粒档的再生填料均分为四份,并从各组粒档中随机取样;利用摄像机采集各组粒档的样本图像,得到粒料排列图像。In an embodiment of the present invention, in step S1, the specific method for collecting the particle arrangement image is: screening the recycled filler with different particle sizes to obtain each group of particle files; dividing the recycled filler of each group of particle files into four parts, and randomly sampling from each group of particle files; using a camera to collect sample images of each group of particle files to obtain a particle arrangement image.
在本发明实施例中,对力学试验前的再生填料筛分并对不同粒档称重记录。填料筛分的粒径区间可根据材料实际情况自行选择,此处以0~10mm、10~20mm、20~40mm三个粒档为例。前期研究研究表明,颗粒过细时轮廓识别误差较大,且考虑到细颗粒一般比较稳定,建议以10mm为分界线,轮廓分析针对大于10mm的颗粒进行。In the embodiment of the present invention, the recycled filler is screened before the mechanical test and different particle sizes are weighed and recorded. The particle size interval of the filler screening can be selected according to the actual material conditions. Here, three particle sizes of 0-10mm, 10-20mm, and 20-40mm are taken as examples. Previous studies have shown that the contour recognition error is large when the particles are too fine, and considering that fine particles are generally more stable, it is recommended to use 10mm as the dividing line, and the contour analysis is performed on particles larger than 10mm.
随机取样:将每个粒组的填料进行四等分,并在每等分中随机取样一份,即每个粒组取平行样四份,将其分别记为GS10~20-i,GS20~40-i。取样环节保证每份样本中颗粒在100粒左右。GS10~20-i中10~20mm表示粒径范围;i=1~4;GS为Grain Size的首字母缩写。以GS10~20-1为例,其表示10~20mm粒档的第1份样本。Random sampling: Divide the filler of each particle group into four equal parts, and randomly sample one part from each equal part, that is, take four parallel samples from each particle group, and record them as GS 10~20 -i and GS 20~40 -i respectively. The sampling process ensures that there are about 100 particles in each sample. In GS 10~20 -i, 10~20mm represents the particle size range; i=1~4; GS is the abbreviation of Grain Size. Taking GS 10~20 -1 as an example, it represents the first sample of the 10~20mm particle size range.
在桌面或地面上放置好带有参照标尺的白板,在其正上方固定好高清相机,调整好相机角度。拍摄前对相机的拍摄参数进行调试,以保证最佳的拍摄效果。同一粒档填料拍摄过程中相机位置、相机拍摄参数保持不变。以GS10~20-1为例,将样本中的填料颗粒随机放置在步骤3中的白板上,排列应保证材料分布随机且互不重合、接触。然后人工识别样本中砖块、水泥砂浆、混凝土块、石块等组分,并对各颗粒进行编号。对排列好的每份样本进行拍照,获取粒料排列图像。将拍摄得到的照片导入Image-Pro Plus(IPP)软件。借助纸板上的标尺对软件中的测量系统进行标定设置,以保证可以测出填料颗粒的实际大小以及轮廓特征。Place a whiteboard with a reference ruler on the table or on the ground, fix the high-definition camera directly above it, and adjust the camera angle. Debug the camera's shooting parameters before shooting to ensure the best shooting effect. The camera position and camera shooting parameters remain unchanged during the shooting of the same grain size filler. Taking GS 10~20-1 as an example, randomly place the filler particles in the sample on the whiteboard in step 3. The arrangement should ensure that the material distribution is random and does not overlap or touch each other. Then manually identify the components such as bricks, cement mortar, concrete blocks, and stones in the sample, and number each particle. Take a photo of each arranged sample to obtain an image of the particle arrangement. Import the photos taken into Image-Pro Plus (IPP) software. Use the ruler on the cardboard to calibrate the measurement system in the software to ensure that the actual size and contour characteristics of the filler particles can be measured.
在本发明实施例中,步骤S2中,颗粒包括砖块、混凝土块和石块;In the embodiment of the present invention, in step S2, the particles include bricks, concrete blocks and stones;
形状参数包括颗粒的丰度C、圆形度R和形状系数F,其计算公式分别为:The shape parameters include particle abundance C, circularity R and shape coefficient F, and their calculation formulas are:
其中,A表示颗粒实际面积,B表示颗粒短轴尺寸,L表示颗粒长轴尺寸,A′表示颗粒外接圆面积,P表示与颗粒等面积圆周长,S表示颗粒实际周长。Among them, A represents the actual area of the particle, B represents the minor axis size of the particle, L represents the major axis size of the particle, A′ represents the area of the circumscribed circle of the particle, P represents the circumference of a circle with the same area as the particle, and S represents the actual circumference of the particle.
在本发明实施例中,利用AOI工具对各粒料进行轮廓描绘,并通过convert AOI toobject生成测量对象。在系统中自动测量每个颗粒的面积(A)、周长(S)、长轴尺寸(L)、短轴尺寸(B)等形状参数。In the embodiment of the present invention, the AOI tool is used to outline each granule, and the measurement object is generated by converting AOI toobject. The shape parameters such as area (A), perimeter (S), major axis size (L), minor axis size (B) of each granule are automatically measured in the system.
在本发明实施例中,步骤S3中,力学实验导致颗粒破碎,使各个颗粒的形状轮廓发生变化。In the embodiment of the present invention, in step S3, the mechanical experiment causes the particles to break, so that the shape profile of each particle changes.
在本发明实施例中,步骤S3中,各个粒档的破碎率Bg的计算公式为:In the embodiment of the present invention, in step S3, the calculation formula of the crushing rate Bg of each particle size is:
Bg=Σ|ΔWk|B g =Σ|ΔW k |
ΔWk=Wki-Wkf ΔW k =W ki -W kf
其中,Wki表示力学试验前颗粒级配曲线上粒档的含量,Wkf表示力学试验后颗粒级配曲线上相同粒档的含量,ΔWk表示试验前后粒档含量的绝对差。Among them, W ki represents the content of the particle size on the particle grading curve before the mechanical test, W kf represents the content of the same particle size on the particle grading curve after the mechanical test, and ΔW k represents the absolute difference in the particle size content before and after the test.
在本发明实施例中,对力学试验各粒档颗粒的形状参数进行统计,即可得到不同组分下不同参数的分布区间及平均值,对试验前后的参数平均值进行对比分析,即可得到此参数在力学试验下的变化规律。其次还可依据成分特征得到各粒档内不同组分颗粒形状轮廓在力学试验前后的演化特征。In the embodiment of the present invention, the shape parameters of the particles in each particle size of the mechanical test are counted to obtain the distribution range and average value of different parameters under different components, and the average values of the parameters before and after the test are compared and analyzed to obtain the change law of this parameter under the mechanical test. Secondly, the evolution characteristics of the shape contours of the particles of different components in each particle size before and after the mechanical test can also be obtained based on the component characteristics.
以砖块的丰度为例,其表示砖块的扁圆程度,其值越小,表面其越接近于针片状,其值越趋于1,则表明长短轴越趋于相等。此参数的分布区间表示现状态下砖块主要扁圆程度的分布,对比力学试验前后砖块的丰度,则可反映出砖块在此试验下扁圆程度变化规律。多次试验可得到丰度趋于相对固定的数值,即砖块在何种扁圆程度下颗粒趋于稳定。其他组分的其余参数亦可得到其演化规律。Taking the abundance of bricks as an example, it indicates the degree of oblateness of the bricks. The smaller the value, the closer the surface is to needle-like. The closer the value is to 1, the more equal the major and minor axes are. The distribution range of this parameter indicates the distribution of the main degree of oblateness of the bricks in the current state. By comparing the abundance of bricks before and after the mechanical test, it can be reflected that the law of change of the degree of oblateness of the bricks under this test can be reflected. Multiple tests can obtain a relatively fixed value of abundance, that is, at what degree of oblateness the particles of the bricks tend to be stable. The remaining parameters of other components can also obtain their evolution laws.
在本发明实施例中,步骤S5包括以下子步骤:In this embodiment of the present invention, step S5 includes the following sub-steps:
S51:将各个粒档的破碎率作为母序列,将分形维数作为第一特征序列,将丰度作为第二特征序列,将圆形度作为第三特征序列,将形状系数作为第四特征序列;S51: taking the fragmentation rate of each grain file as the parent sequence, taking the fractal dimension as the first characteristic sequence, taking the abundance as the second characteristic sequence, taking the circularity as the third characteristic sequence, and taking the shape coefficient as the fourth characteristic sequence;
S52:对母序列、第一特征序列、第二特征序列、第三特征序列和第四特征序列进行无量纲化处理,并计算无量钢化后各个特征序列与母序列之间的关联系数;S52: performing dimensionless processing on the parent sequence, the first characteristic sequence, the second characteristic sequence, the third characteristic sequence and the fourth characteristic sequence, and calculating the correlation coefficient between each characteristic sequence and the parent sequence after dimensionless tempering;
S53:计算各个特征序列与母序列之间的关联系数的平均值,并将平均值作为关联度。S53: Calculate the average value of the correlation coefficients between each feature sequence and the parent sequence, and use the average value as the correlation degree.
在本发明实施例中,步骤S51中,母序列Xb的表达式为Xb={xb(k)|k=1,2,…},第一特征序列Xw的表达式为Xw={xw(k)|k=1,2,…},第二特征序列X的表达式为Xc={xc(k)|k=1,2,…},第三特征序列Xr的表达式为Xr={xr(k)|k=1,2,…},第四特征序列Xf的表达式为Xf={xf(k)|k=1,2,…};其中,xb(k)表示各破碎率值,xw(k)表示各分形维数值,xc(k)表示各丰度值,xr(k)表示各圆形度值,xf(k)表示各形状系数值;In the embodiment of the present invention, in step S51, the expression of the mother sequence Xb is Xb = { xb (k)|k = 1, 2, ...}, the expression of the first characteristic sequence Xw is Xw = { xw (k)|k = 1, 2, ...}, the expression of the second characteristic sequence X is Xc = { xc (k)|k = 1, 2, ...}, the expression of the third characteristic sequence Xr is Xr = { xr (k)|k = 1, 2, ...}, and the expression of the fourth characteristic sequence Xf is Xf = { xf (k)|k = 1, 2, ...}; wherein xb (k) represents each fragmentation rate value, xw (k) represents each fractal dimension value, xc (k) represents each abundance value, xr (k) represents each circularity value, and xf (k) represents each shape coefficient value;
步骤S52中,对各序列进行无量纲化处理,将Xi序列转换为Yi序列,其计算公式为:In step S52, each sequence is dimensionlessly processed to convert the Xi sequence into the Yi sequence, and the calculation formula is:
其中:yi(k)表示无量纲化处理后Yi序列各数据,xi(k)表示Xi序列各数据,xi(l)表示某序列平均值,n表示序列数据个数;Among them: yi (k) represents the data of Yi sequence after dimensionless processing, xi (k) represents the data of Xi sequence, xi (l) represents the average value of a sequence, n represents the number of sequence data;
步骤S52中,不同特征序列与母序列的关联系数ξi(k)的计算公式为:In step S52, the calculation formula of the correlation coefficient ξ i (k) between different feature sequences and the mother sequence is:
其中,Δb,i(k)表示k时刻两个序列的绝对差,Δmax(b,i)和Δmin(b,i)分别为各个时刻的绝对差中的最大值和最小值,ρ表示分辨系数,w表示分形维数,c表示丰度,r表示圆形度,f表示形状系数值;Wherein, Δ b,i (k) represents the absolute difference of the two sequences at time k, Δ max (b,i) and Δ min (b,i) are the maximum and minimum values of the absolute differences at each time, ρ represents the resolution coefficient, w represents the fractal dimension, c represents the abundance, r represents the circularity, and f represents the shape coefficient value;
步骤S53中,各个特征序列与母序列之间的关联系数的平均值γb,i的计算公式为:In step S53, the calculation formula of the average value γ b,i of the correlation coefficient between each feature sequence and the mother sequence is:
其中,n表示序列长度。Where n represents the sequence length.
在本发明实施例中,分析不同组分影响破碎率的主要指标,分形维数、丰度、圆形度、形状系数分别代表了颗粒的分形程度、扁圆度、圆形程度以及轮廓的复杂程度,这些指标均会影响颗粒是否容易破碎。但由于成分差异,对于不同的组分颗粒而言,其影响破碎难易程度的指标可能会存在差异。对于不同组分而言,对其计算得到的特征序列与母序列的关联度进行排序,关联度最大的指标即为最容易影响该组分破碎的因素。In the embodiment of the present invention, the main indicators of the impact of different components on the fragmentation rate are analyzed. The fractal dimension, abundance, circularity, and shape coefficient represent the fractal degree, oblateness, circularity, and complexity of the contour of the particles, respectively. These indicators will affect whether the particles are easy to break. However, due to differences in composition, the indicators that affect the degree of difficulty of breaking may be different for particles of different components. For different components, the correlation between the calculated characteristic sequence and the parent sequence is sorted, and the indicator with the largest correlation is the factor that is most likely to affect the fragmentation of the component.
下面结合具体实施例对本发明进行说明。此实施例进行的力学试验为振动击实,评价再生填料各组分形状演化规律的评级指标包括:丰度、圆形度、形状系数。其中,图2为再生填料GS20~40-1、2、3、4图像,图3为使用AOI工具对砖块的轮廓进行跟踪描绘,图4为选择测量项目并进行测量的过程,此实施例测量项目包括Aspect、Axis(major)、Axis(minor)、Perimeter、Area(polygon),图5为根据输出的测量结果计算再生填料中各组分形状变化的评价指标系数,图6为力学试验前后砖块丰度分布特征。表1为输出的测量结果,表2为计算出的指标体系平均值,表3为计算出的不同组分各指标与破碎率的关联度。由分析结果可知:振动击实后,石块、砖块、混凝土块的丰度系数明显增加,击实后的颗粒丰度更接近于1;圆形度方面,石块、砖块均有明显变化,圆形度较小的粒料更容易破碎;而石块、砖块的形状系数也在击实后显著增加。The present invention is explained below in conjunction with specific embodiments. The mechanical test conducted in this embodiment is vibration compaction, and the rating indicators for evaluating the shape evolution law of each component of the recycled filler include: abundance, circularity, and shape coefficient. Among them, Figure 2 is an image of recycled filler GS 20~ 40-1, 2, 3, and 4, Figure 3 is a diagram of using the AOI tool to track and depict the outline of the brick, Figure 4 is a process of selecting measurement items and measuring, and the measurement items of this embodiment include Aspect, Axis (major), Axis (minor), Perimeter, and Area (polygon). Figure 5 is an evaluation index coefficient for the shape change of each component in the recycled filler calculated based on the output measurement results, and Figure 6 is the abundance distribution characteristics of bricks before and after the mechanical test. Table 1 shows the output measurement results, Table 2 shows the calculated average value of the index system, and Table 3 shows the calculated correlation between each index of different components and the crushing rate. From the analysis results, we can see that: after vibration compaction, the abundance coefficients of stones, bricks and concrete blocks increase significantly, and the particle abundance after compaction is closer to 1; in terms of roundness, both stones and bricks have obvious changes, and particles with smaller roundness are easier to break; and the shape coefficients of stones and bricks also increase significantly after compaction.
表1Table 1
表2Table 2
表3table 3
本发明的有益效果为:现在大多采用力学试验前后分别对再生填料进行筛分的方法,仅能得到力学试验前后再生填料的级配变化,不能揭示力学试验前后不同颗粒的形状演化规律,不能揭示不同组分的破碎行为。本发明可有效分析再生填料中不同组分在力学试验前后的轮廓演化特征,可以深入揭示了不同组分的破碎机理,能够促进对建筑垃圾填料路用性能的认知。The beneficial effects of the present invention are as follows: currently, most of the methods of screening the recycled filler before and after the mechanical test can only obtain the gradation change of the recycled filler before and after the mechanical test, but cannot reveal the shape evolution law of different particles before and after the mechanical test, and cannot reveal the crushing behavior of different components. The present invention can effectively analyze the contour evolution characteristics of different components in the recycled filler before and after the mechanical test, can deeply reveal the crushing mechanism of different components, and can promote the understanding of the road performance of construction waste filler.
本领域的普通技术人员将会意识到,这里所述的实施例是为了帮助读者理解本发明的原理,应被理解为本发明的保护范围并不局限于这样的特别陈述和实施例。本领域的普通技术人员可以根据本发明公开的这些技术启示做出各种不脱离本发明实质的其它各种具体变形和组合,这些变形和组合仍然在本发明的保护范围内。Those skilled in the art will appreciate that the embodiments described herein are intended to help readers understand the principles of the present invention, and should be understood that the protection scope of the present invention is not limited to such specific statements and embodiments. Those skilled in the art can make various other specific variations and combinations that do not deviate from the essence of the present invention based on the technical revelations disclosed by the present invention, and these variations and combinations are still within the protection scope of the present invention.
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