JP7610446B2 - Concrete curing device, concrete curing method, and concrete curing program - Google Patents

Description

The present invention relates to a concrete curing device, a concrete curing method, and a concrete curing program.

Concrete generates heat as it hardens due to a chemical reaction between water and cement. In particular, the reaction proceeds rapidly for several days after the concrete is poured, generating a large amount of heat, which can cause the concrete to crack. For this reason, pipe cooling is used to prevent the concrete from rising in temperature and reduce cracking as a countermeasure against cracking when the concrete is poured. When using pipe cooling, it is necessary to properly manage the pipe arrangement, pipe diameter, flow rate and temperature setting of the cooling water, etc.

In the above technical field, Patent Document 1 discloses a technology for automatically controlling the temperature of a fluid circulating through a pipe to cool concrete based on the temperature difference between the external and internal temperatures of the concrete (Claim 1 of the same document, etc.).

JP 2016-89357 A

However, the technology described in Patent Document 1 controls temperature based on the internal and external temperatures of the concrete, and is not based on the characteristics of the concrete, such as temperature transition data for managing the concrete, so it is not possible to reliably cool the concrete.

In order to achieve the above object, the concrete curing apparatus according to the present invention comprises:
An estimation unit that estimates temperature distribution data of the concrete over a curing time after pouring the concrete by using a heat conduction equation;
a determination unit that determines an installation position of a temperature sensor for measuring the temperature based on a relationship between the estimated temperature distribution data and a position inside the concrete;
an acquisition unit that acquires temperature data from the temperature sensor whose installation position has been determined;
A control unit that controls a flow rate and a temperature of a coolant supplied to a cooling pipe installed inside the poured concrete based on the acquired temperature data;
Equipped with:

In order to achieve the above object, a concrete curing method according to the present invention comprises the steps of:
An estimation step of estimating temperature distribution data of the concrete temperature over a curing time after pouring the concrete using a heat conduction equation;
a determining step of determining an installation position of a temperature sensor for measuring the temperature based on a relationship between the estimated temperature distribution data and a position inside the concrete;
an acquiring step of acquiring temperature data from the temperature sensor whose installation position has been determined;
A control step of controlling a flow rate and a temperature of a coolant supplied to a cooling pipe installed inside the poured concrete based on the acquired temperature data;
Includes.

In order to achieve the above object, the concrete curing program according to the present invention comprises:
An estimation step of estimating temperature distribution data of the concrete temperature over a curing time after pouring the concrete using a heat conduction equation;
a determining step of determining an installation position of a temperature sensor for measuring the temperature based on a relationship between the estimated temperature distribution data and a position inside the concrete;
an acquiring step of acquiring temperature data from the temperature sensor whose installation position has been determined;
A control step of controlling a flow rate and a temperature of a coolant supplied to a cooling pipe installed inside the poured concrete based on the acquired temperature data;
to be executed by the computer.

According to the present invention, parameters for cooling concrete are controlled based on temperature transition data for managing concrete, so concrete can be cooled more reliably.

FIG. 2 is a diagram for explaining cooling of concrete performed in a concrete curing apparatus according to a preferred embodiment of the present invention. FIG. 2 is a diagram for explaining an outline of the operation of the concrete curing apparatus according to the preferred embodiment of the present invention. FIG. 1 is a block diagram for explaining a configuration of a concrete curing apparatus according to a preferred embodiment of the present invention. FIG. 10 is a diagram for explaining how to determine the installation position of a temperature sensor by the concrete curing apparatus according to the preferred embodiment of the present invention. FIG. 10 is a diagram for explaining how to determine the installation position of a temperature sensor by the concrete curing apparatus according to the preferred embodiment of the present invention. FIG. 2 is a diagram for explaining an example of a concrete table included in the concrete curing apparatus according to the preferred embodiment of the present invention. FIG. 1 is a block diagram for explaining a hardware configuration of a concrete curing apparatus according to a preferred embodiment of the present invention. 2 is a flowchart for explaining a processing procedure of the concrete curing apparatus according to the preferred embodiment of the present invention.

Below, the embodiments for carrying out the present invention will be described in detail by way of example with reference to the drawings. However, the configurations, numerical values, processing flows, functional elements, etc. described in the following embodiments are merely examples, and may be freely modified or altered, and are not intended to limit the technical scope of the present invention to the following description.

A concrete curing apparatus 100 according to a preferred embodiment of the present invention will be described with reference to Figures 1A to 5. When cooling the concrete after pouring, the temperature of the concrete is controlled based on the management temperature transition data that the concrete should follow in order to prevent the concrete from cracking.

First, referring to FIG. 1A, the cooling of the concrete 110 performed in the concrete curing apparatus 100 of this embodiment will be described. The cooling of the concrete 110 is performed so as not to cause cracks in the concrete 110. Regarding cracks caused by cooling of the concrete 110, the heat conduction equation in the following formula (1) is used to predict the internal temperature of the concrete 110 as it cools, and the thermal expansion coefficient of the concrete 110 is calculated from the predicted temperature, and whether or not cracks will occur is examined from the stress-strain relationship of the concrete 110.

ここで、図１Ａには、ひび割れの発生を抑制するコンクリート１１０の温度変化のグラフ１５０が示されている。グラフ１５０において、横軸は、コンクリート１１０の養生時間［ｈ］、縦軸は、コンクリート１１０の温度［℃］をそれぞれ示している。図１Ａにおいて、温度分布曲線１５１は、コンクリート１１０の冷却を行わない場合の温度変化を示している。このように、コンクリート１１０の冷却を行わない場合には、コンクリート１１０の温度は、所定養生時間経過後に、飽和温度に達し、そのまま推移する。

Here, Fig. 1A shows a graph 150 of temperature changes of concrete 110 suppressing the occurrence of cracks. In the graph 150, the horizontal axis shows the curing time [h] of the concrete 110, and the vertical axis shows the temperature [°C] of the concrete 110. In Fig. 1A, a temperature distribution curve 151 shows the temperature changes when the concrete 110 is not cooled. In this way, when the concrete 110 is not cooled, the temperature of the concrete 110 reaches a saturation temperature after a predetermined curing time has elapsed, and remains at that temperature.

Temperature distribution curves 152 to 154 show the temperature transition of concrete 110 when concrete 110 is cooled. Temperature distribution curve 152 shows the control target temperature of concrete 110 at each time when concrete 110 is cooled. In other words, the concrete curing apparatus according to this embodiment cools concrete 110 so that the temperature of concrete 110 transitions in a manner that traces temperature distribution curve 152.

The temperature distribution curve 153 shows the distribution curve of the upper limit temperature of the concrete 110 at each time. The upper limit temperature is the upper limit of the allowable concrete temperature when cooling the concrete 110, and if this limit is exceeded, the expansion of the concrete 110 will exceed expectations, making it more likely to crack. The cooling of the concrete 110 is controlled so that the temperature of the concrete 110 does not exceed the upper limit temperature shown by the temperature distribution curve 153.

Temperature distribution curve 154 also shows the distribution curve of the lower limit temperature of concrete 110 at each time. The lower limit temperature is the lower limit of the allowable concrete temperature when cooling concrete 110, and if it falls below this limit, the shrinkage of concrete 110 will exceed expectations, making it more likely to crack. The cooling of concrete 110 is controlled so that the temperature of concrete 110 does not fall below the lower limit temperature indicated by temperature distribution curve 154. In this way, the temperature of concrete 110 is controlled so that concrete 110 does not become too hot, nor too cold.

However, in the commonly used cooling of concrete, the temperature of the cooling water as a refrigerant, the flow rate of the cooling water, and the cooling period are all determined, and no feedback of the temperature of the concrete to be cooled is performed. In other words, the cooling of concrete is performed without changing the cooling conditions that were determined before cooling.

Next, referring to FIG. 1B, an overview of the operation of the concrete curing apparatus 100 according to this embodiment will be described. The concrete curing apparatus 100 manages the cooling of the concrete 110 so that the temperature of the concrete 110 follows, for example, a temperature distribution curve 152.

As shown in FIG. 1B(a), the cooling pipe 122 installed inside the poured concrete 110 is installed inside the sheath tube 123. When the refrigerant is supplied from the refrigerant supply device 120 through the water supply hose 121 connected to the cooling pipe 122, the inside of the sheath tube 123 is filled with the refrigerant and the refrigerant overflows from the sheath tube 123. The overflowing refrigerant is collected by a refrigerant collection mechanism (not shown) and reused, allowing it to circulate.

As shown in Fig. 1B(a) and (b), the cooling pipe 122 is buried vertically from the top to the bottom of the concrete 110, but is not limited to this. Furthermore, the lower end of the cooling pipe 122 does not contact the bottom surface of the sheath tube 123.

The temperature of the poured concrete is measured by a temperature sensor 130 installed inside the concrete 110. As shown in Figures 1B (b) and (c), the temperature sensor 130 is installed, for example, near the cooling pipe 122. The placement of the temperature sensor 130 in this manner relies on the worker's past experience and intuition, and it is not necessarily possible to accurately measure the temperature of the poured concrete.

In particular, when pouring concrete 110 over a wide area (mass concrete), if there are an insufficient number of temperature sensors, if the temperature sensors are installed in uneven positions, or if the temperature sensors 130 are installed in positions that do not easily reflect the temperature of the concrete 110, the temperature of the concrete 110 cannot be accurately grasped. As a result, the temperature of the concrete 110 cannot be accurately controlled. In other words, when installing such temperature sensors 130, there are some locations where the temperature change of the concrete 110 is not large, and some locations that are insensitive to the temperature change of the concrete 110, and it may not be possible to accurately grasp the temperature or temperature change of the concrete 110.

Therefore, the concrete curing device 100 predicts the temperature inside the concrete 110 from the heat conduction equation, and determines an installation position that accurately represents the temperature inside the concrete 110 based on the predicted temperature change. The temperature sensor 130 is installed inside the concrete 110, for example, at a position where the temperature changes significantly or at a position that is sensitive to temperature changes.

The concrete curing device 100 then acquires temperature data of the concrete 110 from the temperature sensor 130 installed at the determined installation position, and controls the flow rate and temperature of the refrigerant supplied to the concrete 110 based on the acquired temperature data.

The temperature sensor 130 is a thermocouple type sensor, but any sensor capable of measuring temperature may be used. The flow rate of the refrigerant supplied is preferably 0 to 100 (l/min). The temperature of the refrigerant supplied is preferably 5°C to 30°C, and more preferably 10°C to 20°C. The diameter of the cooling pipes 122 is preferably φ25 to φ75, and more preferably φ25 to φ50, and the length of the cooling pipes 122 is preferably 50 to 100 m. The spacing between the cooling pipes 122 is preferably 0.5 m to 1.2 m, and more preferably 0.5 to 0.8 m.

Next, the configuration of the concrete curing apparatus 100 and the determination of the installation position will be described with reference to Figures 2A to 2C. The concrete curing apparatus 10 has an estimation unit 201, a determination unit 202, a scaling unit 203, an acquisition unit 204, and a control unit 205.

The estimation unit 201 estimates temperature distribution data of the temperature of the concrete 110 over the curing time after pouring the concrete 110 using a heat conduction equation.

The determination unit 202 determines the installation position of the temperature sensor 130 for measuring the temperature based on the relationship between the estimated temperature distribution data and the position inside the concrete 110. The installation position is expressed as a distance from the cooling pipe 122. In other words, the determination unit 202 determines the installation position of the temperature sensor 130 to be, for example, 10 cm or 15 cm away from the cooling pipe 122.

The determination unit 202 further includes an extreme value calculation unit 221. The extreme value calculation unit 221 calculates an extreme value from the second derivative (d ² G/dχ ² ) of an error function G(χ,t) derived from the heat conduction equation.

The scaling unit 203 scales each of the temperature distribution curves, in which the temperature distribution data is plotted for each curing time, by using the square root of the curing time. The processing performed by the estimation unit 201, the determination unit 202, and the scaling unit 203 will be described in detail below.

<Details of Processing in Estimation Unit 201, Determination Unit 202, and Scale Reduction Unit 203>
Regarding the heat conduction phenomenon, since a three-dimensional phenomenon can be predicted from a one-dimensional phenomenon, the one-dimensional heat conduction equation is used for the study. The estimation unit 201 converts the three-dimensional heat conduction equation of formula (1) into a one-dimensional heat conduction equation to derive formula (2).

次に、推定部２０１は、式（２）をρｃで割って、熱拡散方程式（式（３））を導出する。

Next, the estimation unit 201 divides equation (2) by ρc to derive the heat diffusion equation (equation (3)).

ここで、Ｄは、熱拡散係数であり、Ｄ［Ｌ^２／ｔ］＝λ／ρｃと表される。λは、熱伝導率、ρは、コンクリートの密度、ｃは、比熱である。

Here, D is the thermal diffusion coefficient, which is expressed as D[L ² /t]=λ/ρc, where λ is the thermal conductivity, ρ is the density of the concrete, and c is the specific heat.

Equation (3) is a function of position (x) and time (t). Now consider the variables shown in equation (4) below. η in equation (4) is a parameter that is automatically derived when equation (3) is made dimensionless.

ここで、Ｄの次元は、［Ｌ^２／ｔ］であり、ηは、無次元量であることが分かる。ηの意味は、ｘ軸のメモリを時々刻々変化させたとき、√Ｄｔを基準として温度分布を計測すると、温度分布は、時間にかかわらず、相似となり、１つの独立変数の関数となる。決定部２０２は、式（４）を用いて式（３）を変形して、解を求めることにより、以下の式（５）に示したエラー関数Ｇ（誤差関数）を導出する。

Here, the dimension of D is [ ^L2 /t], and η is a dimensionless quantity. The meaning of η is that when the scale on the x-axis is changed from moment to moment, if the temperature distribution is measured based on √Dt, the temperature distribution will be similar regardless of time and will be a function of one independent variable. The determination unit 202 transforms the formula (3) using the formula (4) to find a solution, thereby deriving the error function G (error function) shown in the following formula (5).

そして、決定部２０２は、式（５）の２階微分をとって、以下の式（６）を導出する。

Then, the determination unit 202 takes the second derivative of equation (5) to derive the following equation (6).

決定部２０２（極値算出部２２１）は、式（６）から、極値が、ｘ＝√２Ｄｔであることを算出する。すなわち、コンクリート１１０の温度の変化率の傾きが大きい位置が、基準位置から距離ｘ＝√２Ｄｔの位置であることが分かり、この位置が、コンクリート１１０の温度の変化に敏感な位置であることが分かる。

The determination unit 202 (extreme value calculation unit 221) calculates from formula (6) that the extreme value is x = √2Dt. That is, it is found that the position where the gradient of the rate of change in temperature of the concrete 110 is large is the position at a distance x = √2Dt from the reference position, and that this position is sensitive to changes in the temperature of the concrete 110.

Next, when calculations are performed for D = 1.0 and x = 0 to 2 in equations (5) and (6) derived as described above, graph 240 shown in Figure 2B is obtained from equation (5), and graph 260 shown in Figure 2C is obtained from equation (6). In graph 240, curve 241 shows the case when t = 1, and curve 242 shows the case when t = 8. Similarly, in graph 260, curve 261 shows the case when t = 1, and curve 262 shows the case when t = 8.

Now, when the horizontal axis (x-axis) of curve 242 in graph 240 in FIG. 2B is scaled by scaling unit 203 by √t, curve 251 is obtained in graph 250 in FIG. 2B. Curve 251 is obtained by scaling the x-axis of curve 242 in graph 240 by √t, and is a curve that overlaps with curve 241.

Similarly, in graph 260 in FIG. 2C, when scaling unit 203 scales the horizontal axis (x-axis) of curve 262 by √t, curve 271 is obtained in graph 270 in FIG. 2C. Curve 271 is obtained by scaling the x-axis of curve 262 in graph 260 by √t, and is a curve that overlaps with curve 261.

Looking at graph 270 in Figure 2C, we can see that when D = 1.0, the temperature gradient is 0 at approximately position 5 (x = 5). Therefore, it can be considered that the range of temperature influence at position 0 (x = 0) extends up to 5.

Here, x = √2Dt, so if D = 1.0 and t = 1, then x = 1.414 and the temperature gradient will be at its maximum. If the cooling range of the cooling pipe 122 is 30 cm, then it can be assumed that the above-mentioned influence range 5 corresponds to 30 cm. Therefore, the installation position of the temperature sensor 130 (r _p : distance from the cooling pipe 122) is, when D = 1.0 and D = 3.0, respectively, as follows:
r _p = (30/5) x 1.414 = 8.48 cm (when D = 1.0)
r _p = (30/5) x 2.449 = 14.70 cm (when D = 3.0)
It can be calculated as follows.

<Thermal Diffusion Coefficient D>
Here, the thermal diffusion coefficient D will be described. If φ is the temperature, the heat conduction equation (Equation (2)) becomes the following Equation (7).

そして、Ｄを以下の式（８）のようにして、

式（７）に代入すると、

の拡散方程式になる。

Then, D is expressed as the following equation (8):

Substituting into equation (7),

This results in the diffusion equation:

とおいて、これらを式（９）の拡散方程式に代入して整理すると、

となる。 Here, as in equation (10),

By substituting these into the diffusion equation (9) and rearranging, we obtain

It becomes.

は、無次元量になる。熱拡散係数Ｄは、この無次元量から定義されたパラメータである。 Where:

is a dimensionless quantity. The thermal diffusion coefficient D is a parameter defined from this dimensionless quantity.

となり、

となり、

となる。 <Derivation of error function and extreme values>
Differentiating equation (3) with respect to t and x, we get

And then,

And then,

It becomes.

となり、式（１６）は、ηの関数となる。 Substituting this into equation (2), we get

Thus, equation (16) is a function of η.

のような無次元温度を考えると、式（４）は、

となり、

となる。 Where:

Considering a dimensionless temperature such as

And then,

It becomes.

となる。 And the function G is the following error function:

It becomes.

となる。 When this function G is differentiated (the first derivative of G),

It becomes.

となる。 Furthermore, when equation (21) is differentiated (the second derivative of G),

It becomes.

が得られ、式（２２）は、式（２３）に示したように、ｘ＝√２Ｄｔにおいて極値を持つことが分かる。 From here,

It can be seen that equation (22) has an extreme value at x=√2Dt as shown in equation (23).

<Regarding Cooling Control of Concrete 110>
Next, the temperature sensors 130 are installed at the installation positions calculated as described above, and cooling control of the concrete 110 will be described. The acquisition unit 204 acquires temperature data from the temperature sensors 130 whose installation positions have been determined. The installation positions of the temperature sensors 130 are represented by distances from the cooling pipes 122. Here, the acquisition unit 204 is connected to each of the temperature sensors 130 installed on the concrete 110 by wire or wirelessly, and acquires the measured temperature data via wire or wireless. The acquisition unit 204 acquires temperature data from the temperature sensors 130 at predetermined time intervals, for example, at intervals of several minutes or several hours.

The acquisition unit 204 may further acquire the flow rate and temperature of the refrigerant supplied to the cooling pipe 122 (sheath tube 123) installed inside the concrete 110 as parameters to manage and cool the temperature of the concrete 110.

Here, the refrigerant supplied to the cooling pipe 122 is typically water, but the refrigerant supplied is not limited to this and may be other liquids suitable for cooling the concrete 110. Also, the refrigerant supplied to the cooling pipe 122 is not limited to a liquid and may be, for example, a gas such as a gas.

The refrigerant supply device 120 is connected to the concrete curing device 100 by wire or wirelessly, and the flow rate and temperature of the refrigerant are acquired, for example, from a flow rate sensor and a temperature sensor provided in the refrigerant supply device 120. The acquisition unit 204 acquires refrigerant data regarding the flow rate and temperature of the refrigerant at predetermined time intervals, for example, at intervals of several minutes or several hours.

Based on the acquired temperature data, the control unit 205 controls the flow rate and temperature of the refrigerant supplied to the cooling pipe 122 installed inside the poured concrete 110. Specifically, the control unit 205 controls the flow rate and temperature of the refrigerant as parameters based on a plot curve 140 of the management temperature transition data that the concrete 110 should follow.

In other words, the control unit 205 controls the flow rate and temperature of the refrigerant as parameters based on the acquired temperature data and refrigerant data during the period from the start time to the end time of the plot curve 140 of the management temperature transition data, so that the temperature of the concrete 110 follows, for example, the temperature distribution curve 152.

There are various methods for controlling the temperature of the concrete 110, but any method may be used as long as it can control the temperature of the concrete 110 to follow the temperature distribution curve 152. For example, when the temperature of the concrete 110 exceeds the temperature distribution curve 152, the control unit 205 increases the flow rate of the refrigerant. Conversely, when the temperature of the concrete 110 is below the temperature distribution curve 152, the control unit 205, for example, reduces the flow rate of the refrigerant.

Figure 3 is a diagram showing an example of a concrete table 301 possessed by the concrete curing apparatus 100. The concrete table 301 stores thermal conductivity 312, density 313, and specific heat 314 in association with a concrete ID (Identifier) 311. The concrete ID is an identifier for identifying the concrete. The thermal conductivity 312, density 313, and specific heat 314 represent the characteristics of the concrete. The concrete curing apparatus 100 then refers to the concrete table 301 and analyzes the temperature transition of the concrete using a heat conduction equation.

The hardware configuration of the concrete curing device 100 will be described with reference to FIG. 4. The CPU (Central Processing Unit) 410 is a processor for arithmetic control, and executes a program to realize each functional configuration of the concrete curing device 100 in FIG. 2A. The CPU 410 has multiple processors and may execute different programs, modules, tasks, threads, etc. in parallel. The ROM (Read Only Memory) 420 stores fixed data such as initial data and programs, and other programs. The network interface 430 communicates with other devices, etc. via a network. The CPU 410 is not limited to one, and may be multiple CPUs, or may include a GPU (Graphics Processing Unit) for image processing. It is also preferable that the network interface 430 has a CPU independent of the CPU 410 and writes or reads transmitted or received data to or from an area of the RAM (Random Access Memory) 440. It is also preferable to provide a DMAC (Direct Memory Access Controller) (not shown) that transfers data between the RAM 440 and the storage 450. Furthermore, the CPU 410 recognizes that data has been received or transferred to the RAM 440 and processes the data. The CPU 410 also prepares the processing results in the RAM 440 and leaves subsequent transmission or transfer to the network interface 430 or the DMAC.

The RAM 440 is a random access memory used by the CPU 410 as a temporary storage work area. The RAM 440 has a storage area reserved for storing data necessary for implementing this embodiment. The thermal conductivity data 441 is data on the thermal conductivity of the cast concrete 110. The density data 442 is data on the density of the cast concrete 110. The specific heat data 443 is data on the specific heat of the cast concrete 110. The temperature data 444 is data on the temperature of the concrete 110 acquired from the temperature sensor 130 installed in the cast concrete 110. The refrigerant data 445 is data on the flow rate and temperature of the refrigerant supplied to the cooling pipe 122 to cool the cast concrete 110. The target temperature data 446 is data indicating the temperature to which the cast concrete 110 should conform at a certain time.

Transmitted and received data 447 is data transmitted and received via the network interface 430. In addition, the RAM 440 has an application execution area 448 for executing various application modules.

Storage 450 stores a database, various parameters, or the following data or programs required to realize this embodiment. Storage 450 stores concrete table 301. Concrete table 301 is a table that manages the relationship between concrete ID 311 and thermal conductivity 312, etc., shown in FIG. 3.

The storage 450 further stores an estimation module 451, a determination module 452, a scale module 453, an acquisition module 454, and a control module 455. The determination module 452 further includes an extreme value calculation module. The estimation module 451 is a module that estimates temperature distribution data of the temperature of the concrete 110 associated with the curing time after the concrete 110 is poured, using a heat conduction equation. The determination module 452 is a module that determines the installation position of the temperature sensor 130 for measuring the temperature of the concrete 110 based on the relationship between the estimated temperature distribution data and the position inside the concrete 110. The extreme value calculation module is a module that calculates extreme values from the second derivative of the error function G derived from the heat conduction equation. The scale module 453 is a module that scales each of the temperature distribution curves in which temperature distribution data is plotted for each curing time, using the square root of the curing time. The acquisition module 454 is a module that acquires temperature data from the temperature sensor 130 whose installation position has been determined. The control module 455 is a module that controls the flow rate and temperature of the coolant supplied to the cooling pipe 122 installed inside the poured concrete 110 based on the acquired temperature data. These modules 451 to 455 are loaded into the application execution area 448 of the RAM 440 by the CPU 410 and executed. The control program 456 is a program for controlling the entire concrete curing apparatus 100.

The input/output interface 460 interfaces with input/output devices for input/output data. A display unit 461 and an operation unit 462 are connected to the input/output interface 460. A storage medium 464 may also be connected to the input/output interface 460. A speaker 463 serving as an audio output unit, a microphone (not shown) serving as an audio input unit, or a GPS position determination unit may also be connected. Note that the RAM 440 and storage 450 shown in FIG. 4 do not show programs or data relating to the general-purpose functions of the concrete curing apparatus 100 or other feasible functions.

The processing procedure of the concrete curing apparatus 100 will be described with reference to the flowchart shown in FIG. 5. This flowchart is executed by the CPU 410 in FIG. 4 using the RAM 440, and realizes each functional configuration of the concrete curing apparatus 100 in FIG. 2A.

In step S501, the concrete curing apparatus 100 derives a heat diffusion equation (equation 3) from the one-dimensional heat conduction equation (equation 2). In step S503, the concrete curing apparatus 100 derives an error function (equation 5) from the heat diffusion equation (equation 3). In step S505, the concrete curing apparatus 100 derives an extreme value from the second derivative of the error function (equation 5). In step S507, the concrete curing apparatus 100 determines the installation position of the temperature sensor 130 from the derived extreme value. In step S509, the concrete curing apparatus 100 acquires temperature data from the installed temperature sensor 130. In step S511, the concrete curing apparatus 100 controls the flow rate and temperature of the coolant supplied to the concrete based on the acquired temperature data.

According to this embodiment, the positions of the concrete that are sensitive to temperature changes are determined from the heat conduction equation, and temperature sensors are installed at the determined positions, so that the concrete can be cooled more reliably.

[Other embodiments]
Although the present invention has been described above with reference to the embodiments, the present invention is not limited to the above embodiments. Various modifications that can be understood by those skilled in the art can be made to the configuration and details of the present invention within the scope of the present invention. In addition, systems or devices that combine separate features included in each embodiment in any way are also included in the scope of the present invention.

The present invention may be applied to a system consisting of multiple devices, or to a single device. Furthermore, the present invention may be applied to a case where an information processing program for implementing the functions of the embodiments is supplied directly or remotely to a system or device. Therefore, the scope of the present invention includes a program installed on a computer to implement the functions of the present invention, a medium storing the program, and a WWW (World Wide Web) server for downloading the program. In particular, the scope of the present invention includes at least a non-transitory computer readable medium storing a program for causing a computer to execute the processing steps included in the above-mentioned embodiments.

Claims (5)

An estimation unit that estimates temperature distribution data of the concrete over a curing time after pouring the concrete by using a heat conduction equation;
a determination unit that determines an installation position of a temperature sensor for measuring the temperature based on a relationship between the estimated temperature distribution data and a position inside the concrete;
an acquisition unit that acquires temperature data from the temperature sensor whose installation position has been determined;
A control unit that controls a flow rate and a temperature of a coolant supplied to a cooling pipe installed inside the poured concrete based on the acquired temperature data;
Equipped with
The determination unit is
The second derivative of the error function G(χ,t) derived from the heat conduction equation

An extreme value calculation unit that calculates an extreme value from
The concrete curing apparatus determines the installation position based on the calculated extreme value. A scaling unit is further provided that scales each of the temperature distribution curves obtained by plotting the temperature distribution data for each curing time by using a square root of the curing time,
The concrete curing apparatus according to claim 1 , wherein the determination unit determines the installation position based on a scaled temperature distribution curve. The concrete curing device according to claim 1 or 2, wherein the installation position is expressed as a distance from the cooling pipe. An estimation step of estimating temperature distribution data of the concrete temperature over a curing time after pouring the concrete using a heat conduction equation;
a determining step of determining an installation position of a temperature sensor for measuring the temperature based on a relationship between the estimated temperature distribution data and a position inside the concrete;
an acquiring step of acquiring temperature data from the temperature sensor whose installation position has been determined;
A control step of controlling a flow rate and a temperature of a coolant supplied to a cooling pipe installed inside the poured concrete based on the acquired temperature data;
Including,
In the determining step,
The second derivative of the error function G(χ,t) derived from the heat conduction equation

Further comprising an extreme value calculation step of calculating an extreme value from
A concrete curing method comprising determining the installation position based on the calculated extreme value. An estimation step of estimating temperature distribution data of the concrete temperature over a curing time after pouring the concrete using a heat conduction equation;
a determining step of determining an installation position of a temperature sensor for measuring the temperature based on a relationship between the estimated temperature distribution data and a position inside the concrete;
an acquiring step of acquiring temperature data from the temperature sensor whose installation position has been determined;
A control step of controlling a flow rate and a temperature of a coolant supplied to a cooling pipe installed inside the poured concrete based on the acquired temperature data;
on the computer,
In the determining step,
The second derivative of the error function G(χ,t) derived from the heat conduction equation

Further comprising an extreme value calculation step of calculating an extreme value from
A concrete curing program that determines the installation position based on the calculated extreme value.

Images