CN112462040A - Uniformity judging method in concrete two-dimensional random aggregate feeding process - Google Patents

Uniformity judging method in concrete two-dimensional random aggregate feeding process Download PDF

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Publication number
CN112462040A
CN112462040A CN202011290141.3A CN202011290141A CN112462040A CN 112462040 A CN112462040 A CN 112462040A CN 202011290141 A CN202011290141 A CN 202011290141A CN 112462040 A CN112462040 A CN 112462040A
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aggregate
area
uniformity
judging
areas
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CN202011290141.3A
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李厚民
柯俊宏
汪洋
吴克洋
黄笑宇
邓维超
李子毅
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Hubei University of Technology
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Hubei University of Technology
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    • GPHYSICS
    • G01MEASURING; TESTING
    • G01NINVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
    • G01N33/00Investigating or analysing materials by specific methods not covered by groups G01N1/00 - G01N31/00
    • G01N33/38Concrete; ceramics; glass; bricks
    • G01N33/383Concrete, cement

Abstract

The invention discloses a method for judging uniformity of concrete in a two-dimensional random aggregate feeding process, which comprises the steps of dividing a test piece into three regions, respectively calculating the aggregate area in each region, judging whether the aggregate area meets the uniformity requirement or not according to the area ratio of each region, and compiling a corresponding program. The invention adds uniformity screening on the basis of the original random aggregate feeding program, so that the original model only can represent the shape, size and position randomness of the aggregates and can also represent the uniformity of the aggregates in the test piece, and the aggregates can be more practically attached.

Description

Uniformity judging method in concrete two-dimensional random aggregate feeding process
Technical Field
The invention belongs to the technical field of simulation research on concrete mesoscopic layers, and relates to a method for judging uniformity of aggregate in concrete more accurately represented in a concrete simulation process.
Background
On a microscopical level, concrete is considered to be a multiphase composite material consisting of coarse and fine aggregates, interface layers, cement mortar, voids and microcracks. In order to characterize the influence of different material characteristics on the mechanical properties of concrete, simulation studies are often performed by using a random aggregate model. The pebble aggregate in the concrete is represented by a circle or an ellipse, and the randomness of the concrete aggregate in the concrete test piece is characterized by the randomness of the position and the size of the circle or the ellipse. In real life, coarse and fine aggregates are uniformly distributed in a concrete test piece, but the uniformity of the aggregates in the existing random aggregate model in the test piece is not represented.
Disclosure of Invention
Aiming at the problems in the background art, the invention provides a method for judging the uniformity of a concrete two-dimensional random aggregate in a feeding process, which can ensure that the newly-fed generated aggregate can represent the randomness of the shape, position and size of the aggregate and can also represent the uniformity of the aggregate in a concrete sample.
In order to solve the technical problems, the invention adopts the following technical scheme: a uniformity judging method in a concrete two-dimensional random aggregate feeding process is characterized by comprising the following steps: and judging the uniformity of the aggregate after the feeding process of the random aggregate is finished, outputting parameter information of each aggregate if the judging condition is met, and feeding the random aggregate again if the judging condition is not met.
The method for judging the uniformity of the aggregate specifically comprises the following steps:
step 1: equally dividing a two-dimensional concrete test piece into an upper area, a middle area and a lower area;
step 2: respectively calculating the area of each aggregate in the three areas according to the generated random aggregate parameters;
and step 3: calculating the ratio of aggregate area to total aggregate area in each region;
and 4, step 4: if the ratio of the aggregate area to the total aggregate area in the three areas is within a threshold interval, judging that the feeding of the aggregates meets the requirement of uniformity; otherwise, the random aggregate is put again until the uniformity requirement is met, and all aggregate graphic parameters are output.
Compared with the prior art, the method for judging the uniformity of the aggregate in the random aggregate model is provided, so that the newly-put aggregate can represent the randomness of the position, the shape and the size of the newly-put aggregate and the uniformity of the aggregate in a concrete sample, and the method is more practical.
Drawings
FIG. 1 is a flow chart of a uniform screening random aggregate placement process according to an embodiment of the present invention;
FIG. 2 is a flowchart of a detailed uniformity screening process according to an embodiment of the present invention;
FIG. 3 is a schematic diagram illustrating a cross-sectional area division of a test piece according to an embodiment of the present invention;
FIG. 4 is a schematic representation of a round aggregate spanning the upper and middle regions according to an embodiment of the present invention;
FIG. 5 is a schematic view of a round aggregate spanning upper, middle and lower regions according to an embodiment of the present invention;
FIG. 6 is a schematic representation of an oval aggregate spanning the upper and middle regions in accordance with an embodiment of the present invention;
FIG. 7 is a schematic view of an oval aggregate spanning the upper, middle and lower regions in accordance with an embodiment of the present invention.
Detailed Description
In order to facilitate the understanding and implementation of the present invention for those of ordinary skill in the art, the present invention is further described in detail with reference to the accompanying drawings and examples, it is to be understood that the embodiments described herein are merely illustrative and explanatory of the present invention and are not restrictive thereof.
As shown in the attached figure 1, a uniformity screening program is added in the traditional random aggregate feeding process, so that the generated random aggregate can represent the randomness of the position, the shape and the size of the aggregate and the uniformity of the aggregate in a concrete sample, and the requirements of reality and fit simulation are met.
Fig. 2 is a specific flowchart of uniformity screening, and the uniformity determination method in the concrete two-dimensional random aggregate feeding process provided by the invention determines the uniformity of the aggregates after the feeding process of the random aggregates is completed, outputs each aggregate parameter information if the determination condition is satisfied, and feeds the random aggregates again if the determination condition is not satisfied.
The method for judging the uniformity of the aggregate specifically comprises the following steps:
step 1: equally dividing a two-dimensional concrete test piece into an upper area, a middle area and a lower area;
step 2: respectively calculating the area of each aggregate in the three areas according to the generated random aggregate parameters;
and step 3: calculating the ratio of aggregate area to total aggregate area in each region;
and 4, step 4: if the ratio of the aggregate area to the total aggregate area in the three areas is 30% -36%, judging that the feeding of the aggregates meets the requirement of uniformity; otherwise, the random aggregate is put again until the uniformity requirement is met, and all aggregate graphic parameters are output.
In this example, a concrete section of 150mm × 150mm is taken as an example, and a standard three-stage compound concrete is selected, and the concrete grading size is (40,80) mm, (20,40) mm, (5,20) mm, and the concrete event section is divided into an upper zone, a middle zone and a lower zone as shown in fig. 3, and each zone is 50mm × 150 mm. And respectively calculating the area of each aggregate in each region, then calculating the ratio of the aggregate area in each region to the total area, and judging the uniformity of the aggregates according to the ratio.
The specific screening method of the round aggregate is as follows:
1. and comparing the relation between the circle center of the generated circle and the boundary line of each region according to the generated circular parameters, if the coordinates of the circle center of the circle are (x, y), comparing the relation between y and 50 and 100, and judging the position of the circle center of the aggregate, wherein the position can be divided into three conditions that the circle center is positioned in an upper region, a middle region and a lower region.
2. And (4) performing classification and discussion according to different conditions, if the circle center of the circle is positioned in the upper area, comparing the relation between y-r and 100, and judging whether the aggregate is only positioned in the upper area or spans the upper and middle areas. If the aggregate exists only in the upper area, the calculation can be directly carried out according to a circular area formula, if the aggregate spans the upper area and the middle area, the area of the aggregate in the middle area is the area obtained by subtracting the triangular OAB from the sector OAB, and the angle AOB can be obtained by the lengths of OA and OD through an inverse trigonometric function according to the diagram shown in FIG. 4, so that the area of the sector OAB is easily obtained, and the area of the aggregate in the middle area is further obtained, and the area of the aggregate in the upper area is the area obtained by subtracting the area of the aggregate from the area of the middle area. If the circle center is in the middle area, the relation between the aggregate y + r and 100 and the relation between the aggregate y-r and 50 are needed to divide the area situation of the aggregate into four situations of only in the middle area, crossing the upper area and the middle area, crossing the middle area and the lower area, and crossing the upper area, the middle area and the lower area. Only in the middle area can be directly calculated according to a circular area formula, if two areas are spanned, the sector area in one area is firstly obtained according to the method, and the aggregate area in the other area is obtained by subtracting the sector area from the circular area. If the area of the aggregate is over the three regions, the area of the aggregate in the upper region is determined by subtracting the area of the triangular OAB from the area of the sector OAB, the area of the aggregate in the lower region is determined by subtracting the area of the triangular OCD from the sector OCD, and the aggregate area in the middle region is determined by subtracting the areas of the upper and lower regions from the total aggregate area, as shown in fig. 5.
3. And traversing all the generated aggregates, calculating the aggregate areas in the upper, middle and lower areas according to the method, and obtaining the area ratio of each area by making a quotient with the aggregate feeding area. If the area ratio is between 30% and 36%, the throwing is judged to be more uniform.
The specific screening method of the oval aggregate comprises the following steps:
1. and dividing the position of the centroid of the aggregate into three types of upper, middle and lower areas according to the ordinate of the centroid of the ellipse.
2. According to the classified discussion of the crossing region condition of the aggregates, different from round aggregates, the oval aggregates cannot judge whether the crossing region condition exists or not only according to the relation between the centroid and the radius, and the invention selects a general equation for converting the position information of the oval into the oval to express, namely ((x-m) cos theta + (y-n) sin theta)2/a2+((m-x)*sinθ+(y-n)*cosθ)2/b21, wherein m is the abscissa of the centroid of the ellipse, n is the ordinate of the centroid of the ellipse, theta is the included angle between the major axis of the ellipse and the direction of the x axis, a is the length of the major axis of the ellipse,b is the ellipse minor axis length. And with y 1100 and y2And (3) simultaneously solving two boundary lines, wherein if a real solution exists, the situation of crossing the region exists, and if the real solution does not exist, the aggregate is only in the region where the centroid exists.
3. And respectively calculating the area of the aggregate in each region according to different conditions. When the aggregate spans two areas, as shown in fig. 6, considering that there is no specific formula in the solution for the partial elliptical area at present, the calculus is adopted herein, the general equation of ellipse and y ═ 100 are used for solution, two real number solutions obtained are the abscissa of a and B, the space between a and B is divided into 20 sections, and the partial elliptical area is converted into the sum of 20 rectangular trapezoid areas. The area of the ellipse in the upper region can be determined, and the area of the ellipse in the middle region can be determined by subtracting the area of the ellipse from the area of the upper region. When the aggregate spans three regions, as shown in fig. 7, the areas of the aggregate in the upper and lower regions are obtained by the method described above, and the area of the aggregate in the middle region is obtained by subtracting the areas of the upper and lower regions from the area of the aggregate.
4. And traversing all the elliptical aggregates, calculating the aggregate areas in the upper, middle and lower areas according to the method, and obtaining the quotient of the aggregate areas and the aggregate feeding area to obtain the area ratio of each area. If the area ratio is between 30% and 36%, the throwing is judged to be more uniform.
20 groups of round aggregate model data and oval aggregate model data which are not subjected to uniformity screening are respectively generated according to a traditional random aggregate feeding method, wherein only 4 groups of round aggregates which meet the uniformity judgment requirement exist, and only 6 groups of oval aggregates which meet the uniformity judgment requirement exist. The total uniformity requirement is only 25%. Therefore, it is necessary to increase the judgment of the uniformity in the random aggregate production process.
It should be understood that parts of the specification not set forth in detail are well within the prior art.
It should be understood that the above description of the preferred embodiments is given for clarity and not for any purpose of limitation, and that various changes, substitutions and alterations can be made herein without departing from the spirit and scope of the invention as defined by the appended claims.

Claims (4)

1. A uniformity judging method in a concrete two-dimensional random aggregate feeding process is characterized by comprising the following steps: judging the uniformity of the aggregate after the feeding process of the random aggregate is finished, outputting parameter information of each aggregate if the judging condition is met, and feeding the random aggregate again if the judging condition is not met;
the method for judging the uniformity of the aggregate specifically comprises the following steps:
step 1: equally dividing a two-dimensional concrete test piece into an upper area, a middle area and a lower area;
step 2: respectively calculating the area of each aggregate in the three areas according to the generated random aggregate parameters;
and step 3: calculating the ratio of aggregate area to total aggregate area in each region;
and 4, step 4: if the ratio of the aggregate area to the total aggregate area in the three areas is within a threshold interval, judging that the feeding of the aggregates meets the requirement of uniformity; otherwise, the random aggregate is put again until the uniformity requirement is met, and all aggregate graphic parameters are output.
2. The method for judging the uniformity of the concrete in the two-dimensional random aggregate feeding process according to claim 1, which is characterized in that: the aggregate is round aggregate, and the uniformity judgment specifically comprises the following steps:
(1) according to the generated parameters of the round aggregate, comparing the relation between the circle center of each round aggregate and the boundary line of each area, and judging the position of the circle center of the aggregate, wherein the position is divided into three conditions that the circle center is positioned in an upper area, a middle area and a lower area;
(2) carrying out classification discussion according to different situations;
if the circle center of the circle is positioned in the upper area, judging whether the aggregate is only positioned in the upper area or spans the upper and middle areas; if the aggregate exists only in the upper region, directly calculating the area of the aggregate in the region according to a circular area formula; if the aggregate crosses the upper area and the middle area, respectively calculating the area of the aggregate in the middle area and the area of the aggregate in the upper area;
if the circle center of the circle is in the lower area, calculating according to the same method that the circle center of the circle is in the upper area;
if the circle center is in the middle area, the area condition of the aggregate is divided into four conditions of only the middle area, crossing the upper area and the middle area, crossing the middle area and the lower area, and crossing the upper area, the middle area and the lower area; only in the middle area, directly calculating the area of the aggregate in the area according to a circular area formula; if the aggregate spans the two regions, the areas of the aggregate in the two regions are respectively calculated; if the aggregate spans the three regions, the areas of the aggregate in the three regions are respectively calculated;
(3) traversing all the generated aggregates, respectively calculating the aggregate areas in the upper, middle and lower areas, and taking a quotient with the aggregate feeding area to obtain the area ratio in each area; if the area ratio is within the threshold interval, judging that the feeding of the aggregate meets the uniformity requirement; otherwise, the random aggregate is put again until the uniformity requirement is met, and all aggregate graphic parameters are output.
3. The method for judging the uniformity of the concrete in the two-dimensional random aggregate feeding process according to claim 1, which is characterized in that: the aggregate is an oval aggregate, and the uniformity judgment specifically comprises the following steps:
(1) dividing the position of the centroid of the aggregate into three types of upper, middle and lower areas according to the ordinate of the centroid of the ellipse;
(2) classifying and discussing according to the condition of the aggregate crossing region;
the position information of the ellipse is converted into a general equation of the ellipse and expressed with y1A and y2Solving two boundary lines of B simultaneously, wherein A, B are preset values respectively; if the real number solution exists, the crossing region condition exists, and if the real number solution does not exist, the aggregate only exists in the region where the centroid exists;
(3) respectively calculating the area of the aggregate in each region according to different conditions;
when the aggregate spans the upper area and the middle area, the area of the ellipse in the upper area is solved by using a common equation of the ellipse and a correspondingly spanned boundary line in a simultaneous way by adopting a calculus idea, and the area of the ellipse in the middle area is obtained by subtracting the area of the upper area from the area of the aggregate; when the aggregate spans the middle area and the lower area, the areas of the aggregate in the middle area and the lower area are obtained by the method; when the aggregate spans the three regions, the areas of the aggregate in the upper region and the lower region are respectively obtained, and then the area of the aggregate in the middle region is obtained by subtracting the areas of the upper region and the lower region from the area of the aggregate;
(4) traversing all the elliptical aggregates, respectively calculating the aggregate areas in the upper, middle and lower areas, and making a quotient with the aggregate feeding area to obtain the area ratio in each area; if the area ratio is within the threshold interval, judging that the feeding of the aggregate meets the requirement of uniformity; otherwise, the random aggregate is put again until the uniformity requirement is met, and all aggregate graphic parameters are output.
4. The method for judging the uniformity of the concrete in the two-dimensional random aggregate feeding process according to any one of claims 1 to 3, wherein the method comprises the following steps: the threshold interval is (30%, 36%).
CN202011290141.3A 2020-11-18 2020-11-18 Uniformity judging method in concrete two-dimensional random aggregate feeding process Pending CN112462040A (en)

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