CN106289610B - A kind of constant volume quantitatively expands force checking device - Google Patents

A kind of constant volume quantitatively expands force checking device Download PDF

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CN106289610B
CN106289610B CN201610640536.9A CN201610640536A CN106289610B CN 106289610 B CN106289610 B CN 106289610B CN 201610640536 A CN201610640536 A CN 201610640536A CN 106289610 B CN106289610 B CN 106289610B
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container
volume
motor
piston rod
detection
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CN106289610A (en
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何高清
李旻
程瑞
祖晅
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Hefei University of Technology
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Hefei University of Technology
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    • GPHYSICS
    • G01MEASURING; TESTING
    • G01LMEASURING FORCE, STRESS, TORQUE, WORK, MECHANICAL POWER, MECHANICAL EFFICIENCY, OR FLUID PRESSURE
    • G01L5/00Apparatus for, or methods of, measuring force, work, mechanical power, or torque, specially adapted for specific purposes
    • G01L5/0028Force sensors associated with force applying means

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Abstract

本发明公开了一种定容定量膨胀力检测装置及检测方法,其特征是:在呈水平设置的检测平台上,一端为物料容器,另一端为电机,物料容器的容器活塞杆在物料容器的前端伸出、朝向电机所在一端并沿检测平台的纵向布置;在电机与活塞杆之间设置丝杆螺母传动结构,其中丝杆由电机驱动转动,螺母固联在圆筒体的一端,在圆筒体的另一端与容器活塞杆之间串联设置压力传感器,并由压力传感器检测容器活塞杆所受的拉压力,利用位置传感器检测容器活塞杆的纵向位置。本发明用于物料的定容定量膨胀力检测,能适合多变容积膨胀力的检测。

The invention discloses a constant volume and quantitative expansion force detection device and detection method, which are characterized in that: on a horizontally arranged detection platform, one end is a material container, the other end is a motor, and the container piston rod of the material container is positioned at the center of the material container. The front end protrudes toward the end of the motor and is arranged along the longitudinal direction of the detection platform; a screw nut transmission structure is set between the motor and the piston rod, wherein the screw rod is driven by the motor to rotate, and the nut is fixedly connected to one end of the cylinder. A pressure sensor is arranged in series between the other end of the cylinder and the piston rod of the container, and the pressure sensor detects the pulling pressure on the piston rod of the container, and the position sensor detects the longitudinal position of the piston rod of the container. The invention is used for the constant-volume quantitative expansion force detection of materials, and can be suitable for the detection of variable volume expansion force.

Description

一种定容定量膨胀力检测装置A constant volume and quantitative expansion force detection device

技术领域technical field

本发明涉及一种针对物料进行定容定量膨胀力检测的装置及检测方法。The invention relates to a device and a detection method for constant volume and quantitative expansion force detection of materials.

背景技术Background technique

物料膨胀力是指物料在密闭容器混合后进行化学反应后,物料膨胀对容器产生的压力。现有技术中的膨胀力检测装置,其传感器放置在容器内,传感器与被测物料直接接触,这一形式主要存在的问题一是很容易造成传感器的损坏,二是传感器内置带来装置维修和保养上极大的困难。不仅如此,现有技术中的结构形式由于容积固定不变,如果想要针对不同体积物料进行测量,必须配置相应体积的容器,一台检测装置不能适合多变容积物料膨胀力检测,存在使用上的局限性。The material expansion force refers to the pressure that the material expands on the container after the material undergoes a chemical reaction after being mixed in a closed container. In the expansion force detection device in the prior art, the sensor is placed in the container, and the sensor is in direct contact with the material to be tested. The main problems in this form are that the sensor is easily damaged, and the second is that the built-in sensor brings device maintenance and Very difficult to maintain. Not only that, because the volume of the structure in the prior art is fixed, if you want to measure materials with different volumes, you must configure containers with corresponding volumes. One detection device cannot be suitable for the detection of expansion force of materials with variable volumes. limitations.

发明内容Contents of the invention

本发明是为避免上述现有技术所存在的不足,提供一种定容定量膨胀力检测装置及检测方法,以适合多变容积膨胀力的检测。The present invention aims at avoiding the shortcomings of the above-mentioned prior art, and provides a constant volume and quantitative expansion force detection device and detection method, which are suitable for the detection of variable volume expansion force.

本发明为解决技术问题采用如下技术方案:The present invention adopts following technical scheme for solving technical problems:

本发明定容定量膨胀力检测装置的结构特点是:在呈水平设置的检测平台上,一端布置为物料容器,另一端布置为电机,所述物料容器的容器活塞杆在物料容器的前端伸出、朝向电机所在一端并沿检测平台的纵向布置;在所述电机与活塞杆之间设置由丝杆和螺母构成的丝杆螺母传动结构,所述丝杆由电机通过减速机驱动转动,所述螺母固联在圆筒体的一端,在所述圆筒体的另一端与容器活塞杆之间串联设置压力传感器,利用圆筒体驱动容器活塞杆的纵向移动,并由拉压力传感器检测容器活塞杆所受的拉压力;在所述检测平台上位于圆筒体的一侧设置位置传感器,利用位置传感器检测所述容器活塞杆的纵向位置;在所述物料容器的尾部设置有物料入口。The structural feature of the constant volume and quantitative expansion force detection device of the present invention is: on the detection platform arranged horizontally, one end is arranged as a material container, and the other end is arranged as a motor, and the container piston rod of the material container protrudes from the front end of the material container , toward the end where the motor is located and arranged along the longitudinal direction of the detection platform; a screw nut transmission structure composed of a screw and a nut is set between the motor and the piston rod, and the screw is driven by the motor through a reducer to rotate. The nut is fixedly connected to one end of the cylinder, and a pressure sensor is arranged in series between the other end of the cylinder and the piston rod of the container, and the cylinder is used to drive the longitudinal movement of the piston rod of the container, and the pressure sensor is used to detect the pressure of the container piston. The pulling pressure on the rod; a position sensor is installed on one side of the cylinder on the detection platform, and the position sensor is used to detect the longitudinal position of the piston rod of the container; a material inlet is provided at the tail of the material container.

本发明定容定量膨胀力检测装置的结构特点也在于:在所述检测平台上设置纵向导轨,并有滑块与所述纵向导轮滑动配合,设置一对支架对所述圆筒体在两侧以合抱的形式固定夹持,所述支架与滑块固定连接,使圆筒体的纵向移动在所述纵向导轨上获得导向。The structural feature of the constant volume and quantitative expansion force detection device of the present invention is also that: a longitudinal guide rail is arranged on the detection platform, and a slider is provided to slide and cooperate with the longitudinal guide wheel; The sides are fixed and clamped in the form of embracing, and the bracket is fixedly connected with the slider, so that the longitudinal movement of the cylinder is guided on the longitudinal guide rail.

本发明定容定量膨胀力检测装置的结构特点也在于:所述位置传感器为光栅尺,所述光栅尺固定设置在一侧支架上与圆筒体及支架联动。The structural feature of the constant volume and quantitative expansion force detection device of the present invention is also that: the position sensor is a grating ruler, and the grating ruler is fixedly arranged on one side of the support to link with the cylinder and the support.

本发明定容定量膨胀力检测装置的检测方法的特点是:The characteristics of the detection method of the constant volume quantitative expansion force detection device of the present invention are:

定义:definition:

S为物料容器内容腔的横断面面积;S is the cross-sectional area of the inner cavity of the material container;

V1为物料化学反应膨胀前的体积;V1 is the volume of the material before chemical reaction expansion;

V2为物料化学反应膨胀后的体积;V2 is the volume of the material after chemical reaction expansion;

L1为当物料处在化学反应膨胀前的V1体积状态下,容器活塞杆的伸出长度,L1=V1/S;L1 is the protruding length of the piston rod of the container when the material is in the V1 volume state before the chemical reaction expands, L1=V1/S;

L2为当物料处在化学反应膨胀后的V2体积状态下,容器活塞杆的伸出长度,L2=V2/S:L2 is the protruding length of the piston rod of the container when the material is in the V2 volume state after chemical reaction expansion, L2=V2/S:

所述检测方法是按如下过程进行:Described detection method is to carry out as follows:

步骤1:根据已知的物料化学反应膨胀前的体积V1计算获得容器活塞杆的伸出长度L1;由电机驱动使容器活塞杆伸出在长度为L1的位置上,物料从物料入口吸入到物料容器内,完成对物料容器的填充;Step 1: Calculate the extension length L1 of the piston rod of the container according to the volume V1 of the known material chemical reaction before expansion; the piston rod of the container is driven by the motor to extend at the position of length L1, and the material is sucked from the material inlet to the material In the container, complete the filling of the material container;

步骤2:根据已知的物料化学反应膨胀后的体积V2计算获得容器活塞杆的伸出长度L2;由电机驱动使容器活塞杆自伸出长度为L1的位置起,在设定的时间内移动到伸出长度为L2的位置上,利用光栅尺检测获得活塞杆的实际位移量L22,并有实际体积V22为:V22=S×L22;Step 2: Calculate the extension length L2 of the piston rod of the container according to the volume V2 after the expansion of the known material chemical reaction; the piston rod of the container is driven by the motor to move within the set time from the position of the extension length L1 At the position where the protruding length is L2, use the grating ruler to detect the actual displacement L22 of the piston rod, and the actual volume V22 is: V22=S×L22;

步骤3:封闭物料容器,使物料在物料容器中发生化学反应,在所述化学反应的过程中,通过电机自锁使活塞杆保持在伸出长度为L2的位置上,实时采集压力传感器检测获得的压力检测信号,获得物料化学反应过程中的压力检测信号与时间的对应关系;以所述压力检测信号与时间的对应关系表征膨胀力与时间的对应关系。Step 3: Close the material container so that the material undergoes a chemical reaction in the material container. During the chemical reaction, the piston rod is kept at a position with a protruding length of L2 through the self-locking of the motor, and the pressure sensor is detected in real time to obtain The corresponding relationship between the pressure detection signal and time in the material chemical reaction process is obtained; the corresponding relationship between the expansion force and time is represented by the corresponding relationship between the pressure detection signal and time.

本发明定容定量膨胀力检测装置的检测方法的特点也在于:The characteristics of the detection method of the constant volume and quantitative expansion force detection device of the present invention are also:

在所述步骤1中,当在电机驱动下,容器活塞杆伸出在长度为L1的位置上时,利用光栅尺检测获得容器活塞杆的实际伸出长度L11,并有:V11=S×L11;将所述物料化学反应膨胀前的体积V1修正为V11;In said step 1, when the piston rod of the container protrudes at the position of length L1 under the drive of the motor, the actual protruding length L11 of the piston rod of the container is obtained by detection with a grating ruler, and there is: V11=S×L11 ; The volume V1 before the chemical reaction expansion of the material is corrected to V11;

在所述步骤2中,当在电机驱动下,容器活塞杆伸出在长度为L2的位置上时,利用光栅尺检测获得容器活塞杆的实际伸出长度L22,并有:V22=S×L22;将所述物料化学反应膨胀后的体积V2修正为V22。In said step 2, when the container piston rod protrudes at the position of length L2 under the drive of the motor, the actual protruding length L22 of the container piston rod is obtained by using the grating ruler detection, and there is: V22=S×L22 ; The volume V2 after the chemical reaction expansion of the material is corrected to V22.

与已有技术相比,本发明有益效果体现在:Compared with the prior art, the beneficial effects of the present invention are reflected in:

1、本发明检测装置中设置的压力传感器位于物料容器的外部,不与物料相接触,便于维修和保养,使用寿命长。1. The pressure sensor provided in the detection device of the present invention is located outside the material container and does not contact with the material, which is convenient for repair and maintenance and has a long service life.

2、本发明中设置位置传感器,利用位置传感器检测容器活塞杆的纵向位置,进而计算获得容器在检测过程中的体积变化,从而方便的计算物料在各种体积下的膨胀力,实现精确体积计算。2. In the present invention, a position sensor is set, and the position sensor is used to detect the longitudinal position of the piston rod of the container, and then calculate the volume change of the container during the detection process, so as to conveniently calculate the expansion force of the material under various volumes, and realize accurate volume calculation .

3、本发明中将压力传感器与光栅尺配合设置,实现拉压力检测和容器活塞杆位置检测,整体结构简单紧凑、体积小,检测功能可靠,通过对光栅尺和压力传感器的检测信号的分析处理,能够方便快捷地获得检测结果。3. In the present invention, the pressure sensor and the grating ruler are arranged together to realize the detection of the pulling pressure and the position detection of the piston rod of the container. The overall structure is simple and compact, the volume is small, and the detection function is reliable. Through the analysis and processing of the detection signals of the grating ruler and the pressure sensor , can obtain test results conveniently and quickly.

附图说明Description of drawings

图1为本发明立体结构示意图;Fig. 1 is a schematic diagram of the three-dimensional structure of the present invention;

图2a为本发明立面结构示意图;Figure 2a is a schematic diagram of the facade structure of the present invention;

图2b为本发明平面结构示意图;Figure 2b is a schematic diagram of the planar structure of the present invention;

图中标号:1物料容器,2压力传感器,3支架,4位置传感器,5纵向导轨,6圆筒体,7螺母,8丝杆,9轴承座,10联轴器,11减速机,12电机,13物料入口。Labels in the figure: 1 Material container, 2 Pressure sensor, 3 Bracket, 4 Position sensor, 5 Longitudinal guide rail, 6 Cylinder body, 7 Nut, 8 Screw rod, 9 Bearing seat, 10 Coupling, 11 Reducer, 12 Motor , 13 material inlets.

具体实施方式Detailed ways

参见图1、图2a和图2b,本实施例中定容定量膨胀力检测装置的结构形式是:Referring to Fig. 1, Fig. 2a and Fig. 2b, the structural form of the constant volume quantitative expansion force detection device in this embodiment is:

在呈水平设置的检测平台上,一端布置为物料容器1,另一端布置为电机12,物料容器1的容器活塞杆在物料容器的前端伸出、朝向电机12所在一端并沿检测平台的纵向布置;在电机12与活塞杆之间设置由丝杆8和螺母7构成的丝杆螺母传动结构,由轴承座9支承的丝杆8由电机12通过减速机11驱动转动,螺母7固联在圆筒体6的一端,在圆筒体3的另一端与容器活塞杆之间串联设置压力传感器2,利用圆筒体6驱动容器活塞杆的纵向移动,并由拉压力传感器2检测容器活塞杆所受的拉压力;在检测平台上位于圆筒体6的一侧设置位置传感器4,利用位置传感器4检测容器活塞杆的纵向位置;在物料容器1的尾部设置有物料入口13。On the detection platform arranged horizontally, one end is arranged as a material container 1, and the other end is arranged as a motor 12. The container piston rod of the material container 1 protrudes from the front end of the material container, faces the end where the motor 12 is located, and is arranged along the longitudinal direction of the detection platform. ; Between the motor 12 and the piston rod, a screw nut transmission structure consisting of a screw rod 8 and a nut 7 is set, the screw rod 8 supported by the bearing seat 9 is driven and rotated by the motor 12 through the reducer 11, and the nut 7 is fixedly connected to the circle One end of the cylinder body 6, a pressure sensor 2 is arranged in series between the other end of the cylinder body 3 and the piston rod of the container, the cylinder body 6 is used to drive the longitudinal movement of the piston rod of the container, and the pressure sensor 2 is used to detect the position of the piston rod of the container. The tension force received; the position sensor 4 is set on the side of the cylinder 6 on the detection platform, and the position sensor 4 is used to detect the longitudinal position of the piston rod of the container; the material inlet 13 is set at the tail of the material container 1.

具体实施中,在检测平台上平行设置一对纵向导轨5,并有滑块与纵向导轮5滑动配合,设置一对支架3对圆筒体6在两侧以合抱的形式固定夹持,支架3与滑块固定连接,使圆筒体6的纵向移动在纵向导轨5上获得导向,位置传感器4为光栅尺,光栅尺固定设置在一侧支架3上与圆筒体6及支架3联动。In the specific implementation, a pair of longitudinal guide rails 5 are arranged in parallel on the detection platform, and a slide block is provided to slide and cooperate with the longitudinal guide wheels 5. 3 is fixedly connected with the slider, so that the longitudinal movement of the cylinder 6 is guided on the longitudinal guide rail 5, the position sensor 4 is a grating ruler, and the grating ruler is fixedly installed on one side of the bracket 3 to link with the cylinder 6 and the bracket 3.

电机12的正反旋转通过减速机11、联轴器10、丝杆螺母传动结构、圆筒体6和压力传感器2,使容器活塞杆在物料容器中纵向移动;圆筒体6通过支架3和滑块支撑在导轨5上;光栅尺和滑块及圆筒体一起移动实现容器活塞杆的位移量的检测,压力传感器串联在容器活塞杆和圆筒体之间实现拉压力检测,设置控制单元,控制单元用于控制电机的转动,也用于控制对压力传感器和光栅尺的检测信号的采集,完成定容定量膨胀力检测。The positive and negative rotation of the motor 12 makes the piston rod of the container move longitudinally in the material container through the reducer 11, the coupling 10, the screw nut transmission structure, the cylinder 6 and the pressure sensor 2; the cylinder 6 passes through the bracket 3 and The slider is supported on the guide rail 5; the grating scale moves together with the slider and the cylinder to detect the displacement of the piston rod of the container, and the pressure sensor is connected in series between the piston rod of the container and the cylinder to detect the tension and pressure, and the control unit is set , the control unit is used to control the rotation of the motor, and is also used to control the collection of detection signals from the pressure sensor and the grating ruler, and complete the detection of constant volume and quantitative expansion force.

定义:S为物料容器内容腔的横断面面积;V1为物料化学反应膨胀前的体积;V2为物料化学反应膨胀后的体积;L1为当物料处在化学反应膨胀前的V1体积状态下,容器活塞杆的伸出长度,L1=V1/S;L2为当物料处在化学反应膨胀后的V2体积状态下,容器活塞杆的伸出长度,L2=V2/S:Definition: S is the cross-sectional area of the inner cavity of the material container; V1 is the volume before the material chemical reaction expands; V2 is the volume after the material chemical reaction expands; L1 is the V1 volume state when the material is in the chemical reaction expansion state, the container The protruding length of the piston rod, L1=V1/S; L2 is the protruding length of the piston rod of the container when the material is in the V2 volume state after chemical reaction expansion, L2=V2/S:

定容定量膨胀力检测方法按如下过程进行:The constant volume quantitative expansion force detection method is carried out as follows:

步骤1:根据已知的物料化学反应膨胀前的体积V1计算获得容器活塞杆的伸出长度L1;由电机驱动使容器活塞杆伸出在长度为L1的位置上,物料从物料入口13吸入到物料容器内, 完成对物料容器的填充;Step 1: Calculate the extension length L1 of the piston rod of the container according to the volume V1 of the known material chemical reaction before expansion; the piston rod of the container is driven by the motor to extend at the position of length L1, and the material is sucked from the material inlet 13 to In the material container, the filling of the material container is completed;

当在电机驱动下,容器活塞杆伸出在长度为L1的位置上时,利用光栅尺检测获得容器活塞杆的实际伸出长度L11,并有:V11=S×L11;将物料化学反应膨胀前的体积V1修正为V11;When driven by the motor, the container piston rod protrudes at the position of length L1, use the grating ruler to detect and obtain the actual protruding length L11 of the container piston rod, and: V11=S×L11; The volume of V1 is corrected to V11;

步骤2:根据已知的物料化学反应膨胀后的体积V2计算获得容器活塞杆的伸出长度L2;由电机驱动使容器活塞杆自伸出长度为L1的位置起,在设定的时间内移动到伸出长度为L2的位置上,利用光栅尺检测获得活塞杆的实际位移量L22,并有实际体积V22为:V22=S×L22;Step 2: Calculate the extension length L2 of the piston rod of the container according to the volume V2 after the expansion of the known material chemical reaction; the piston rod of the container is driven by the motor to move within the set time from the position of the extension length L1 At the position where the protruding length is L2, use the grating ruler to detect the actual displacement L22 of the piston rod, and the actual volume V22 is: V22=S×L22;

当在电机驱动下,容器活塞杆伸出在长度为L2的位置上时,利用光栅尺检测获得容器活塞杆的实际伸出长度L22,并有:V22=S×L22;将物料化学反应膨胀后的体积V2修正为V22。When driven by the motor, the container piston rod protrudes at the position of length L2, use the grating ruler to detect and obtain the actual protruding length L22 of the container piston rod, and there is: V22=S×L22; after the material is chemically expanded The volume of V2 is corrected to V22.

步骤3:封闭物料容器,使物料在物料容器中发生化学反应,在化学反应的过程中,通过电机自锁使活塞杆保持在伸出长度为L2的位置上,实时采集压力传感器2检测获得的压力检测信号,获得物料化学反应过程中的压力检测信号与时间的对应关系;以压力检测信号与时间的对应关系表征膨胀力与时间的对应关系。Step 3: Close the material container so that the material undergoes a chemical reaction in the material container. During the chemical reaction, the piston rod is kept at a position with a protruding length of L2 through the self-locking of the motor, and the pressure sensor 2 is detected in real time. The pressure detection signal obtains the corresponding relationship between the pressure detection signal and time during the material chemical reaction process; the corresponding relationship between the expansion force and time is represented by the corresponding relationship between the pressure detection signal and time.

Claims (3)

1. a kind of constant volume quantitatively expands force checking device, it is characterized in that:
On in horizontally disposed detection platform, one end is arranged as material container (1), and the other end is arranged as motor (12), described The container plunger bar of material container (1) stretches out in the front end of material container, towards motor (12) institute at one end and along detection platform Be longitudinally arranged;The screw nut driving being made up of screw mandrel (8) and nut (7) is set in the motor (12) between piston rod Structure, the screw mandrel (8) are driven by reductor (11) by motor (12) and rotated, and the nut (7) is connected firmly in cylinder (6) One end, pressure sensor (2) is arranged in series between the other end and container plunger bar of the cylinder (3), utilizes cylinder (6) vertically moving for container plunger bar is driven, and as the pressure suffered by pressure sensor (2) detection container piston rod;Institute The side set location sensor (4) for being located at cylinder (6) in detection platform is stated, the position sensor (4) is grating scale, Gu Surely it is arranged on a side stand (3) and is linked with cylinder (6) and support (3), utilizes position sensor (4) to detect the container and live The lengthwise position of stopper rod;The afterbody of the material container (1) is provided with material inlet (13);
Definition:
S is the cross sectional area of material container content cavity;
V1 is the volume before material chemical reaction expansion;
V2 is the volume after material chemical reaction expansion;
L1 is is under the V1 volume states before chemical reaction expands when material, the extension elongation of container plunger bar, L1=V1/S;
L2 is is under V2 volume states after chemical reaction expands when material, the extension elongation of container plunger bar, L2=V2/S:
The detection method that the constant volume quantitatively expands force checking device is carried out as follows:
Step 1:The extension elongation L1 for obtaining container plunger bar is calculated according to the volume V1 before the chemical reaction expansion of known material; Container plunger bar is set to stretch out on the position that length is L1 by motor driving, material is drawn into material container from material inlet (13) It is interior, complete the filling to material container;
Step 2:The extension elongation L2 for obtaining container plunger bar is calculated according to the volume V2 after the chemical reaction expansion of known material; Container plunger bar is set to be moved to extension elongation within the time set as L2 from extension elongation is L1 position by motor driving Position on, the actual displacement amount L22 for obtaining piston rod is detected using grating scale, and there is the actual volume V22 to be:V22=S × L22;
Step 3:Material container is closed, material is chemically reacted in material container, during the chemical reaction, Piston rod is maintained on the position that extension elongation is L2 by motor self-locking, gather pressure sensor (2) detection in real time and obtain Pressure detecting signal, obtain material chemical reaction process in pressure detecting signal and the corresponding relation of time;With the pressure The corresponding relation of power detection signal and time characterize expansive force and the corresponding relation of time.
2. constant volume according to claim 1 quantitatively expands force checking device, it is characterized in that:
In the step 1, under being driven in motor, container plunger bar is stretched out when on the position that length is L1, utilizes grating Chi detection obtains the actual extension elongation L11 of container plunger bar, and has:V11=S × L11;The material is chemically reacted and expanded Preceding volume V1 is modified to V11;
In the step 2, under being driven in motor, container plunger bar is stretched out when on the position that length is L2, utilizes grating Chi detection obtains the actual extension elongation L22 of container plunger bar, and has:V22=S × L22;The material is chemically reacted and expanded Volume V2 afterwards is modified to V22.
3. constant volume quantitatively expands force checking device according to claim 1, it is characterized in that:Set in the detection platform vertical Direction guiding rail (5), and there is sliding block to be slidably matched with the longitudinal rail (5), set a pair of brackets (3) to exist the cylinder (6) Both sides fixed clamp in the form of filling the span of a man's arms, the support (3) are fixedly connected with a slide block, and make vertically moving in institute for cylinder (6) State and be oriented on longitudinal rail (5).
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