CN116663378A - Grading optimization method considering morphology of reclaimed sand particles - Google Patents

Grading optimization method considering morphology of reclaimed sand particles Download PDF

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CN116663378A
CN116663378A CN202310602978.4A CN202310602978A CN116663378A CN 116663378 A CN116663378 A CN 116663378A CN 202310602978 A CN202310602978 A CN 202310602978A CN 116663378 A CN116663378 A CN 116663378A
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aggregate
grading
morphology
reclaimed sand
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CN116663378B (en
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洪丽
宇周亮
詹炳根
杨永敢
高鹏
郭炳霖
余其俊
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Hefei University of Technology
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Abstract

The invention discloses a grading optimization method considering the morphology of reclaimed sand particles, which belongs to the technical field of particle grading optimization and comprises the following steps: s1: establishing a three-dimensional ellipsoidal aggregate random throwing model; s2: correcting the MAA model based on the morphology parameters of the reclaimed sand particles; s3: and carrying out verification comparison analysis on the corrected model. According to the invention, the characteristic of the morphology of the reclaimed sand particles is considered, the feature factor of the length-diameter ratio is introduced for the first time to correct the MAA model, the relation between the distribution coefficient and the length-diameter ratio is established, and the relation between the distribution coefficient and the length-diameter ratio and the void ratio in the existing MAA model is established by considering the morphology characteristics of the particles.

Description

Grading optimization method considering morphology of reclaimed sand particles
Technical Field
The invention belongs to the technical field of particle grading optimization, and particularly relates to a grading optimization method considering the morphology of reclaimed sand particles.
Background
The reclaimed sand is a green building material which can replace natural sand. Compared with natural sand, the reclaimed sand has complex sources and large particle morphology difference. The grading optimization of the reclaimed sand is beneficial to improving the strength and the performance of the reclaimed mortar and the reclaimed concrete. The basic assumption conditions of the existing regenerated sand grain composition optimization model are as follows: all aggregates are ideal spherical aggregates. This is not in line with practice, so that it is difficult to obtain good grain composition by adopting the traditional grading optimization method in the practical application process, and the engineering application of the reclaimed sand is seriously affected.
Disclosure of Invention
Accordingly, the present invention aims to provide a grading optimization method considering the morphology of reclaimed sand particles
In order to achieve the above purpose, the present invention provides the following technical solutions:
a grading optimization method considering the morphology of reclaimed sand particles comprises the following steps:
s1: establishing a three-dimensional ellipsoidal aggregate random throwing model;
s2: correcting the MAA model based on the morphology parameters of the reclaimed sand particles;
s3: and carrying out verification comparison analysis on the corrected model.
Further, the step S1 specifically includes the following steps:
s11: defining a space boundary and size range and grading distribution of aggregate;
s12: aggregate is put in a fixed space range, aggregate grading is put in according to the size from large to small, when the aggregate put volume in the size range is larger than the aggregate volume under the target grading, the aggregate put in the current grading range is ended, and the aggregate put in the next size range is carried out;
s13: randomly generating the centroid position of each aggregate, simultaneously randomly generating the triaxial size, the rotation matrix and the displacement matrix of the aggregate, and ensuring that the aggregate is in the boundary; the triaxial size of the aggregate needs to meet the particle size range of the aggregate;
s14: judging whether the aggregates accord with boundary conditions or not and judging the position relationship among the aggregates;
s15: and repeating the steps S11-S14 until the aggregate is successfully put in all the size ranges, and storing the geometric characteristics and the spatial position information of all the aggregates.
Further, the step S2 specifically includes the following steps:
s21: determining the particle size of the ellipsoidal aggregate put in the test, the distribution coefficient n in the MAA model and the range of the length-diameter ratio of the actual aggregate;
s22: utilizing the established three-dimensional ellipsoidal aggregate random throwing model to throw aggregates with different distribution coefficients and length-diameter ratios;
s23: generating a random throwing result graph of ellipsoidal fine aggregate and storing corresponding void ratio and particle size distribution results;
s24: and (3) taking the length-diameter ratio as a characteristic factor, and calculating the correlation between the length-diameter ratio AR and the system porosity by combining the test results in a fitting way, wherein the fitting result is obtained.
Further, in step S24, the distribution coefficient n of the aspect ratio AR and the void fraction v o The calculation formula of (2) is as follows:
n=0.3225+0.05AR
v o =0.1924+0.007AR+0.014AR 2
further, the MAA model corrected by the aspect ratio is represented by the following formula:
wherein: CPFT (%) is the cumulative sieve allowance smaller than the particle diameter D; d (D) L Indicating the maximum particle size in the stacking system; d (D) S Represents the smallest particle size in the particle system; d represents the current particle size; AR is the size of the longest axis to the shortest axis in the three axes of the aggregate in the stacking system, and AR is more than or equal to 1.
Further, the step S3 specifically includes the following steps:
s31: determining parameters of the modified model and raw material attribute parameters;
s32: grading under different grading models is selected for proportion design;
s34: and verifying and comparing the void ratio, the working performance and the mechanical performance under different matching optimization schemes.
The invention has the beneficial effects that: the invention considers the feature of the appearance of the reclaimed sand particles and programs the three-dimensional ellipsoidal aggregate generation and space delivery algorithm; the feature factor of the length-diameter ratio is introduced for the first time to correct the MAA model, the relation between the distribution coefficient and the length-diameter ratio is established, and compared with the traditional grading optimization method, the application range is wider, and the grading design is more reasonable; the invention considers the morphological characteristics of particles and establishes the relationship between the distribution coefficient and the length-diameter ratio and the void ratio in the existing MAA model.
Additional advantages, objects, and features of the invention will be set forth in part in the description which follows and in part will become apparent to those having ordinary skill in the art upon examination of the following or may be learned from practice of the invention. The objects and other advantages of the invention may be realized and obtained by means of the instrumentalities and combinations particularly pointed out in the specification.
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In order to make the objects, technical solutions and advantageous effects of the present invention more clear, the present invention provides the following drawings for description:
FIG. 1 is a flow chart of a grading optimization method considering the morphology of reclaimed sand particles;
FIG. 2 is a graph showing cumulative screen residue curves under different distribution coefficients n;
FIG. 3 is a graph showing the result of random placement of ellipsoidal fine aggregates with different aspect ratios with a distribution coefficient n of 0.37;
FIG. 4 is a graph of void fraction variation at different distribution coefficients n;
FIG. 5 is a formula fit of aspect ratio to distribution coefficient and void fraction;
FIG. 6 is a graph of dense packing void fraction vs;
FIG. 7 is a graph showing the effect of gradation on mortar fluidity;
FIG. 8 is a graph showing the effect of gradation on mortar compressive strength.
Detailed Description
As shown in fig. 1, the invention provides a reclaimed sand grain composition optimization method, which solves the problem that the existing grain composition optimization method cannot realize the optimal composition design in the process of performing composition optimization on reclaimed sand, and comprises the following specific contents:
step one, establishing a three-dimensional ellipsoidal aggregate random throwing model:
(1) Defining a space boundary, a size range of aggregate and grading distribution, wherein the aggregate putting space in the case is a cubic space of 100mm x 100mm, and the particle size distribution of the aggregate is 0.15mm-4.75mm;
(2) Aggregate is put in a fixed space range, aggregate grading is put in according to the size from large to small, when the aggregate put volume in the size range is larger than the aggregate volume under the target grading, the aggregate put in the current grading range is ended, and the aggregate put in the next size range is carried out;
(3) Randomly generating the centroid position of each aggregate, and simultaneously randomly generating the triaxial size (the triaxial size needs to meet the particle size range of the aggregate), the rotation matrix and the displacement matrix of the aggregate, and ensuring that the aggregate is in the boundary;
(4) The spatial placement effectiveness determination of ellipsoids can be divided into the following two aspects: and judging the positions of the ellipsoids and the space boundaries, namely judging whether the ellipsoids are in space or not. Whether the boundary crossing condition exists; and judging the position between the ellipsoids, namely judging whether the ellipsoids have superposition conditions or not, and whether the ellipsoids meet the space limitation requirement or not. To determine the effectiveness of ellipsoidal delivery, both factors need to be considered. If both aspects meet the requirements, the ellipsoid is put into effect, otherwise, the ellipsoid is not put into effect;
(5) Repeating the steps until the aggregate is successfully put in all the size ranges, and storing the geometric characteristics and the spatial position information of all the aggregates;
correcting the MAA model based on the morphology parameters of the reclaimed sand particles:
(1) Determining the particle size of the ellipsoidal aggregate put in the test, the distribution coefficient n in the MAA model and the range of the length-diameter ratio of the actual aggregate; the cumulative percentage of screen residue curve of the particle size range of the ellipsoidal aggregate put in the test under different distribution coefficients n is shown in figure 2. As known from the prior study of grading optimization by applying MAA model, the optimal distribution coefficient n of fine aggregate is mainly in the range of 0.15-0.58, so the distribution coefficient range is set to be 0.20-0.58 in the present case. Setting the length-diameter ratio parameter with reference to the real aggregate, wherein the setting range is 1.0-2.5;
(2) Utilizing the established three-dimensional ellipsoidal aggregate random throwing model to throw aggregates with different distribution coefficients and length-diameter ratios; fig. 3 shows graphs of random delivery results of ellipsoidal fine aggregates having aspect ratios of 1.0, 1.5, 2.0 and 2.5, respectively, with a distribution coefficient n of 0.37.
(3) Generating a random throwing result graph of ellipsoidal fine aggregate and storing corresponding void ratio and particle size distribution results; fig. 4 is a graph showing the change of the void ratio under different distribution coefficients, and it can be seen from the graph that the void ratio of ellipsoidal aggregates with different length-diameter ratios also changes along with the change of the distribution coefficient n, but the overall trend is the same, and the optimal distribution coefficient n exists so that the stacking system reaches the relative minimum void ratio. Meanwhile, as can be seen from the graph, the void ratio of the ellipsoidal aggregate with the length-diameter ratio of 1.0 is minimum, and when n=0.37, the void ratio of the stacking system is 20.11%; as the aspect ratio of the aggregate increases, the corresponding minimum void ratio also gradually increases, the void ratio of the ellipsoidal aggregate with the aspect ratio of 2.5 is the largest, and when n=0.44, the void ratio of the system is 26.29%, which is increased by 6.18% compared with the ellipsoidal aggregate with ar=1.0.
(4) The aspect ratio is cited as a characteristic factor, the correlation between the aspect ratio AR and the system porosity is calculated by combining the test results, and the test results are fitted; the data are screened and calculated, and the corresponding distribution coefficients and the void results of the aggregates under different length-diameter ratios AR are extracted to obtain the table 1. Table 1 shows the optimal distribution coefficient n and the corresponding void fraction results of the stacked system of ellipsoidal aggregates with different length-diameter ratios. As can be seen from table 1, as the length-diameter ratio parameter of the ellipsoidal aggregate increases, if the smallest system gap is desired to be formed to reach the optimal stacking state, the distribution coefficient n in the formula needs to be increased; meanwhile, as the optimal distribution coefficient n increases, the minimum void fraction of the corresponding system increases, when the length-diameter ratio AR=1.0, the optimal distribution coefficient n and the void fraction of the stacking system are respectively 0.37 and 20.11%, when the length-diameter ratio AR=2.50, the optimal distribution coefficient n and the void fraction of the stacking system are respectively 0.44 and 26.29%, and compared with the spherical aggregate, the void fraction is increased by 30.73%.
TABLE 1
From the above results, it is clear that the aspect ratio is the most relevant action effect parameter to the morphology of the aggregate particles, and the size thereof has an influence on the aggregate stacking system. Therefore, in order to better improve the application accuracy of the MAA model, the research quotes the length-diameter ratio AR as a characteristic factor, and the correlation between the length-diameter ratio AR and the system porosity is calculated by combining the test results in a fitting way, and the fitting result is shown in fig. 5.
The distribution coefficient n and the void fraction v of the aspect ratio AR are as follows o Is a calculation formula of (2).
n=0.3225+0.05AR
v o =0.1924+0.007AR+0.014AR 2
According to the existing basic research, the MAA model corrected by the length-diameter ratio is shown as follows:
wherein: CPFT (%) is the cumulative sieve allowance smaller than the particle diameter D; d (D) L Indicating the maximum particle size in the stacking system; d (D) S Represents the smallest particle size in the particle system; d represents the current particle size; AR is the size of the longest axis to the shortest axis in the three axes of the aggregate in the stacking system, and AR is more than or equal to 1.
Step three, verification and comparison analysis of the corrected model:
(1) In the case of using natural quartz sand (NFA), the regenerated sand purchased from the building material market of the fertilizer-closing market, the grain size range is 0.15-4.75 mm, two kinds of regenerated sand with different length-diameter ratio sizes (RFA-1 and RFA-2) are crushed and generated by a jaw crusher, and the basic physical indexes of the natural sand (NFA) and the regenerated sand (RFA-1 and RFA-2) of two different production places are shown in the table 2.
TABLE 2
(2) Grading under different grading models is selected for proportion design; the test pieces can be classified into: group a (ar=1.0), group B (ar=1.5), group C (ar=2.0), group D (ar=2.5), group M (median grading zone interval), wherein 1, 2, 3 in each group classification represent natural sand, reclaimed sand 1, and reclaimed sand 2, respectively. The ratio of water, cement and fine aggregate in the five combination ratios is 1:0.65:3.53. table 3 shows the mass ratio of aggregate in different grain segments for five fine aggregate grading schemes selected in the test.
TABLE 3 Table 3
(3) Verification and comparison of void ratio, working performance and mechanical performance under different matching optimization schemes are carried out;
the results of the void fraction test for 15 different fine aggregate materials and the grading optimization scheme based on the aspect ratio AR modified MAA model are shown in FIG. 6.
As can be seen from FIG. 6, the void ratio of the dense packing of the natural sand with 5 design gradations is that the gradation A > gradation C > gradation D > gradation M > gradation B sequentially from high to low; according to the grain size distribution of different gradations, compared with the gradation M, in the gradation A with higher stacking void ratio, the fine aggregate particles with the grain size of 2.36-4.75 mm account for higher proportion, and the whole mass ratio is 31.5%; the fine aggregate particles with the particle size of 0.15-0.30 mm occupy smaller particle size, and the overall mass ratio is 11.3%; in the grading B with lower stacking void ratio, the whole grading distribution of 0.15-4.75 mm is more uniform. The dense packing void ratio of the 5 kinds of reclaimed sand-1 with designed grading is grade A > grade M > grade B > grade D > grade C from high to low, the dense packing void ratio of the grade C, grade D and grade B designed after the optimization of the modified MAA model can be seen from the figure, the dense packing void ratio of the grade M designed by adopting the median between two-level areas in the building sand specification is lower, compared with the distribution of different grade grain sections, the mass ratio of the grain sections of 2.36-4.75 mm in the grade C, grade D and grade B is higher, and the newly added coarse aggregate can effectively form a tighter packing structure with the grain section aggregate of 0.3-2.36 mm, so that the void ratio is reduced.
The dense stacking void ratio of the reclaimed sand-2 is graded M=graded A > graded B > graded C > graded D from high to low in sequence, and is consistent with the stacking void ratio law presented by the reclaimed sand-1, and along with the increase of the length-diameter ratio of the fine aggregate, the optimal stacking of the fine aggregate cannot be realized by adopting a traditional grading design method, and the void ratio of a stacking system can be reduced to a certain extent by using an improved MAA model for grading optimization.
The fluidity of the fresh mortar prepared from 5 kinds of natural sand and reclaimed sand with different grades is shown in fig. 7. As can be seen from FIG. 7, the fluidity of the 5 different graded natural sand designed by the test is changed from high to low from grade B > grade M > grade A > grade D > grade C, and the fluidity of the grade A, grade B, grade C and grade D are improved by-4.23%, 4.13%, 7.81% and-5.02% compared with the fluidity of the reference grade M; the fluidity of the reclaimed sand-1 is changed from high to low into grading C > grading D > grading M > grading B > grading A, and compared with the standard grading M, the fluidity of the grading A, the grading B, the grading C and the grading D is improved by-4.51 percent, -3.70 percent, 7.22 percent and 3.52 percent; the mobility of the reclaimed sand-2 is changed from high to low into grade D > grade C > grade B > grade M > grade A, and compared with the reference grade M, the mobility of the reclaimed sand-2 is improved by-1.91%, 1.28%, 1.91% and 9.76%; meanwhile, compared with the standard grading M, the quality ratio of 2.36-4.75 mm grain segments in the grading with the highest fluidity in the natural sand, the regenerated sand-1 and the regenerated sand-2 is respectively improved by 20.0 percent, 20.8 percent and 21.7 percent, and the fluidity of mortar is improved along with the increase of the content of larger-grain-size grains in the fine aggregate. The slurry is characterized in that the specific surface area of the fine aggregate is reduced along with the increase of the large-particle-size particles, the slurry required for wrapping the aggregate is reduced, the free slurry in the new mortar occupies a large volume, the slurry thickness among the aggregates is high, the internal friction force among the aggregates in the flowing process of the mortar can be obviously reduced, and the effect of improving the fluidity of the mortar is achieved.
The 28-day compressive strength of the new mortar prepared with 5 different grades of natural sand and reclaimed sand is shown in fig. 8. As shown in fig. 8, among 5 different gradations of the natural sand designed by the test, the mortar corresponding to the gradation B has the highest 28-day compressive strength reaching 36.6MPa, and the gradations of the gradation a and the gradation M have the lowest strength, namely the gradation C and the gradation D, and the gradation B has 2.52% higher 28-day compressive strength than the mortar of the reference gradation M; among 5 different gradations of the reclaimed sand-1, the 28-day compression strength of mortar corresponding to the gradation C is highest and reaches 33.7MPa, and then the gradations D and B are the gradations M and A, wherein the strength of the gradations is lowest, and the 28-day compression strength of the gradation C is improved by 12.0% compared with that of the mortar of the reference gradation M; among 5 different gradations of reclaimed sand-2, the mortar corresponding to gradation D has the highest 28-day compressive strength reaching 32.1MPa, and is secondarily graded C and B, wherein the gradations with the lowest strength are gradation M and gradation A, and the 28-day compressive strength of gradation C is improved by 9.6% compared with that of the mortar of the reference gradation M. The dense accumulation void ratio of natural sand and reclaimed sand in different gradations in the section 5.3.31 is combined, the change trend of 28-day compressive strength of different kinds of fine aggregates and mortar under the gradations has high correlation with the change of the dense accumulation void ratio of the fine aggregates, the lower the accumulation void ratio of the aggregates is, the higher the corresponding compressive strength of the mortar is, the machine-made sand gradation with lower accumulation void ratio can form a more stable skeleton structure in the mortar, and the compressive strength of the mortar is enhanced.
According to the invention, the particle morphology of the reclaimed sand is considered, the length-diameter ratio is taken as a characteristic factor, a numerical simulation method is adopted, the closest packing of the reclaimed sand particles with different length-diameter ratios is realized in a certain space range, and finally, the most widely applied Dinger-Funk equation (MAA model) in the existing continuous grading theory is corrected, so that a new reclaimed sand particle grading optimization method is obtained. Compared with the traditional method for optimizing the particle size distribution of the reclaimed sand, the method can consider the influence of the morphology of the reclaimed sand particles when the particle size distribution of the reclaimed sand is optimized, and obtain smaller void ratio and optimal particle size distribution.
Finally, it is noted that the above-mentioned preferred embodiments are only intended to illustrate rather than limit the invention, and that, although the invention has been described in detail by means of the above-mentioned preferred embodiments, it will be understood by those skilled in the art that various changes in form and details may be made therein without departing from the scope of the invention as defined by the appended claims.

Claims (6)

1. A grading optimization method considering the morphology of reclaimed sand particles is characterized in that: the method comprises the following steps:
s1: establishing a three-dimensional ellipsoidal aggregate random throwing model;
s2: correcting the MAA model based on the morphology parameters of the reclaimed sand particles;
s3: and carrying out verification comparison analysis on the corrected model.
2. The grading optimization method considering morphology of reclaimed sand particles according to claim 1, wherein the method comprises the following steps: the step S1 specifically comprises the following steps:
s11: defining a space boundary and size range and grading distribution of aggregate;
s12: aggregate is put in a fixed space range, aggregate grading is put in according to the size from large to small, when the aggregate put volume in the size range is larger than the aggregate volume under the target grading, the aggregate put in the current grading range is ended, and the aggregate put in the next size range is carried out;
s13: randomly generating the centroid position of each aggregate, simultaneously randomly generating the triaxial size, the rotation matrix and the displacement matrix of the aggregate, and ensuring that the aggregate is in the boundary; the triaxial size of the aggregate needs to meet the particle size range of the aggregate;
s14: judging whether the aggregates accord with boundary conditions or not and judging the position relationship among the aggregates;
s15: and repeating the steps S11-S14 until the aggregate is successfully put in all the size ranges, and storing the geometric characteristics and the spatial position information of all the aggregates.
3. The grading optimization method considering morphology of reclaimed sand particles according to claim 1, wherein the method comprises the following steps: the step S2 specifically comprises the following steps:
s21: determining the particle size of the ellipsoidal aggregate put in the test, the distribution coefficient n in the MAA model and the range of the length-diameter ratio of the actual aggregate;
s22: utilizing the established three-dimensional ellipsoidal aggregate random throwing model to throw aggregates with different distribution coefficients and length-diameter ratios;
s23: generating a random throwing result graph of ellipsoidal fine aggregate and storing corresponding void ratio and particle size distribution results;
s24: and (3) taking the length-diameter ratio as a characteristic factor, and calculating the correlation between the length-diameter ratio AR and the system porosity by combining the test results in a fitting way, wherein the fitting result is obtained.
4. The grading optimization method considering morphology of reclaimed sand particles according to claim 3, wherein: in step S24, the distribution coefficient n of the aspect ratio AR and the void fraction v o The calculation formula of (2) is as follows:
n=0.3225+0.05AR
v o =0.1924+0.007AR+0.014AR 2
5. the grading optimization method considering morphology of reclaimed sand particles according to claim 3, wherein: the MAA model corrected by the length-diameter ratio is shown as follows:
wherein: CPFT (%) is the cumulative sieve allowance smaller than the particle diameter D; d (D) L Indicating the maximum particle size in the stacking system; d (D) S Represents the smallest particle size in the particle system; d represents the current particle size; AR is the size of the longest axis to the shortest axis in the three axes of the aggregate in the stacking system, and AR is more than or equal to 1.
6. The grading optimization method considering morphology of reclaimed sand particles according to claim 1, wherein the method comprises the following steps: the step S3 specifically comprises the following steps:
s31: determining parameters of the modified model and raw material attribute parameters;
s32: grading under different grading models is selected for proportion design;
s34: and verifying and comparing the void ratio, the working performance and the mechanical performance under different matching optimization schemes.
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