CN107748369A - A kind of automatic measurement system and its measuring method of soil sample breathing change - Google Patents

A kind of automatic measurement system and its measuring method of soil sample breathing change Download PDF

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CN107748369A
CN107748369A CN201711148873.7A CN201711148873A CN107748369A CN 107748369 A CN107748369 A CN 107748369A CN 201711148873 A CN201711148873 A CN 201711148873A CN 107748369 A CN107748369 A CN 107748369A
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mrow
soil sample
laser
msqrt
measured
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杜长城
梁志磊
刘璇
冯满
秦育阳
肖娟
肖雨琳
安婷婷
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Changan University
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    • GPHYSICS
    • G01MEASURING; TESTING
    • G01SRADIO DIRECTION-FINDING; RADIO NAVIGATION; DETERMINING DISTANCE OR VELOCITY BY USE OF RADIO WAVES; LOCATING OR PRESENCE-DETECTING BY USE OF THE REFLECTION OR RERADIATION OF RADIO WAVES; ANALOGOUS ARRANGEMENTS USING OTHER WAVES
    • G01S17/00Systems using the reflection or reradiation of electromagnetic waves other than radio waves, e.g. lidar systems
    • G01S17/02Systems using the reflection of electromagnetic waves other than radio waves
    • G01S17/06Systems determining position data of a target
    • G01S17/46Indirect determination of position data
    • G01S17/48Active triangulation systems, i.e. using the transmission and reflection of electromagnetic waves other than radio waves
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01BMEASURING LENGTH, THICKNESS OR SIMILAR LINEAR DIMENSIONS; MEASURING ANGLES; MEASURING AREAS; MEASURING IRREGULARITIES OF SURFACES OR CONTOURS
    • G01B11/00Measuring arrangements characterised by the use of optical techniques
    • G01B11/02Measuring arrangements characterised by the use of optical techniques for measuring length, width or thickness
    • G01B11/06Measuring arrangements characterised by the use of optical techniques for measuring length, width or thickness for measuring thickness ; e.g. of sheet material

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  • Physics & Mathematics (AREA)
  • Electromagnetism (AREA)
  • Engineering & Computer Science (AREA)
  • General Physics & Mathematics (AREA)
  • Computer Networks & Wireless Communication (AREA)
  • Radar, Positioning & Navigation (AREA)
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  • Length Measuring Devices By Optical Means (AREA)

Abstract

一种土样胀缩变化的自动测量系统及其测量方法,测量系统包括安装在支撑底盘上的测试台,测试台上放置待测土样,待测土样的上方设有激光位移传感器组件,激光位移传感器组件包括分布在同一高度平面上的三组激光头,三组激光头同时发射激光脉冲经过待测土样反射后,被激光位移传感器组件接收。测量时根据三组激光脉冲发出到返回被接收所经历的时间,分别计算所述三组激光头与待测土样表面的距离,再计算出激光头与待测土样表面的垂直高度,结合激光头与测试台表面的垂直高度,做差后即能够得到待测土样的厚度。本发明在使用过程中能够避免与待测土样的直接接触,自动测量土样的应变变化,大幅度提高了检测的精度和工作效率。

An automatic measurement system and measurement method for soil sample expansion and contraction changes, the measurement system includes a test bench installed on a supporting chassis, a soil sample to be tested is placed on the test bench, and a laser displacement sensor assembly is arranged above the soil sample to be tested. The laser displacement sensor assembly includes three sets of laser heads distributed on the same height plane, and the three sets of laser heads simultaneously emit laser pulses that are reflected by the soil sample to be tested and received by the laser displacement sensor assembly. During the measurement, according to the time elapsed from sending out the three groups of laser pulses to being received back, the distances between the three groups of laser heads and the surface of the soil sample to be tested are calculated respectively, and then the vertical height between the laser head and the surface of the soil sample to be tested is calculated, combined with The vertical height between the laser head and the surface of the test bench can be calculated to obtain the thickness of the soil sample to be tested. The invention can avoid direct contact with the soil sample to be tested during use, automatically measure the strain change of the soil sample, and greatly improve the detection accuracy and work efficiency.

Description

一种土样胀缩变化的自动测量系统及其测量方法An automatic measurement system and measurement method for soil sample expansion and contraction changes

技术领域technical field

本发明涉及土样测量领域,具体涉及一种土样胀缩变化的自动测量系统及其测量方法。The invention relates to the field of soil sample measurement, in particular to an automatic measurement system and a measurement method for soil sample expansion and contraction changes.

背景技术Background technique

土样胀缩变化的测量是工程和土工试验中一种常见的测量内容,传统的测量方法,利用游标卡尺、膨胀仪或收缩仪进行土的轴向位移测量,分析土样的胀缩变化。The measurement of soil sample expansion and contraction is a common measurement content in engineering and geotechnical tests. Traditional measurement methods use vernier calipers, dilatometers or shrinkage meters to measure the axial displacement of soil to analyze the expansion and contraction of soil samples.

这些方法中量具都必须和土样接触,虽然接触压力不大,但对于一些质地柔软的土样,不允许量具与土样的接触,否则会在土样表面留下压印或划痕,影响测量精度。同时传统的检测方法大多采用人工方式进行测量,效率低、耗时多、劳动强度大和测量点重复性差。In these methods, the measuring tool must be in contact with the soil sample. Although the contact pressure is not large, for some soft soil samples, it is not allowed to contact the measuring tool with the soil sample, otherwise it will leave impressions or scratches on the surface of the soil sample, affecting measurement accuracy. At the same time, most of the traditional detection methods use manual methods for measurement, which are low in efficiency, time-consuming, labor-intensive and poor in repeatability of measurement points.

发明内容Contents of the invention

本发明的目的在于针对上述现有技术中的问题,提供一种土样胀缩变化的自动测量系统,该测量系统可靠性好、检测精度高、自动化程度高,能够非接触式测量土样的胀缩变化。The object of the present invention is to provide an automatic measurement system for soil sample expansion and contraction changes in view of the above-mentioned problems in the prior art. Swelling and shrinking changes.

为了实现上述目的,本发明土样胀缩变化的自动测量系统包括安装在支撑底盘上的测试台,测试台上放置待测土样,待测土样的上方设有激光位移传感器组件,激光位移传感器组件包括分布在同一高度平面上的三组激光头,三组激光头同时发射激光脉冲经过待测土样反射后,被激光位移传感器组件接收;根据三组激光脉冲发出到返回被接收所经历的时间,分别计算所述三组激光头与待测土样表面的距离,再计算出激光头与待测土样表面的垂直高度,结合激光头与测试台表面的垂直高度,做差后即能够得到待测土样的厚度。In order to achieve the above object, the automatic measurement system for soil sample expansion and contraction of the present invention includes a test bench installed on the support chassis, the soil sample to be tested is placed on the test bench, and a laser displacement sensor assembly is arranged above the soil sample to be tested. The sensor component includes three sets of laser heads distributed on the same height plane. The three sets of laser heads simultaneously emit laser pulses that are reflected by the soil sample to be tested and then received by the laser displacement sensor component; time, calculate the distances between the three groups of laser heads and the surface of the soil sample to be tested respectively, and then calculate the vertical height between the laser head and the surface of the soil sample to be tested, combine the vertical height between the laser head and the surface of the test platform, and then make the difference The thickness of the soil sample to be tested can be obtained.

支撑底盘上安装支撑架,激光位移传感器组件通过支撑架设置在待测土样的上方。A support frame is installed on the support chassis, and the laser displacement sensor assembly is arranged above the soil sample to be tested through the support frame.

所述的激光位移传感器组件通过高度调节旋钮与支撑架连接,所述的支撑架上设置有能够与高度调节旋钮相配合的高度活动滑槽。The laser displacement sensor assembly is connected to the support frame through a height adjustment knob, and the support frame is provided with a highly movable chute that can cooperate with the height adjustment knob.

所述的激光位移传感器组件一体式连接触屏计算机控制系统。The laser displacement sensor assembly is integrally connected to the touch screen computer control system.

所述的触屏计算机控制系统上具有USB接口以及触屏控制按钮。The touch screen computer control system has a USB interface and a touch screen control button.

所述的测试台上安装有用于调节自身在支撑底盘上位置的纵向调整旋钮与水平调整旋钮。The test bench is equipped with a vertical adjustment knob and a horizontal adjustment knob for adjusting its position on the supporting chassis.

本发明土样胀缩变化的自动测量方法,包括以下步骤:The automatic measurement method of soil sample expansion and contraction change of the present invention comprises the following steps:

1)将制好的待测土样放置在测试台上;1) Place the prepared soil sample to be tested on the test bench;

2)将待测土样调整至正对三组激光头,并调整好激光位移传感器组件的高度;2) Adjust the soil sample to be tested to face the three sets of laser heads, and adjust the height of the laser displacement sensor assembly;

3)打开三组激光头,使之向待测土样发射激光脉冲,激光脉冲经过待测土样反射后,被激光位移传感器组件接收,记录激光脉冲发出到返回被接收所经历的时间t;3) Turn on the three sets of laser heads to emit laser pulses to the soil sample to be tested. After the laser pulses are reflected by the soil samples to be tested, they are received by the laser displacement sensor assembly, and the time t elapsed from sending out the laser pulses to being received back is recorded;

4)按照下式计算待测土样厚度d:4) Calculate the thickness d of the soil sample to be tested according to the following formula:

d=s-h;d=s-h;

上式中,h为激光头到待测土样表面的垂直高度;In the above formula, h is the vertical height from the laser head to the surface of the soil sample to be tested;

s为激光头到测试台表面的高度。s is the height from the laser head to the surface of the test bench.

所述h的具体计算方法如下:The specific calculation method of the h is as follows:

输入θ1,θ2,θ3(激光束与中垂线的夹角),将t1,t2,t3(三条激光束自发出至返回经历的时间)带入公式:Input θ1, θ2, θ3 (the angle between the laser beam and the vertical line), and put t1, t2, t3 (the time elapsed from the emission of the three laser beams to the return) into the formula:

L1=(v*t1)/2,L1=(v*t1)/2,

L2=(v*t2)/2,L2=(v*t2)/2,

L3=(v*t3)/2,v为光速;L3=(v*t3)/2, v is the speed of light;

再将L1、L2、L3(激光束的长度)带入公式:Then bring L1, L2, L3 (the length of the laser beam) into the formula:

a1=L1*sinθ1;a1=L1*sinθ1;

a2=L2*sinθ2;a2=L2*sinθ2;

a3=L3*sinθ3;a3=L3*sinθ3;

b1=L1*cosθ1;b1=L1*cosθ1;

b2=L2*cosθ2;b2=L2*cosθ2;

b3=L3*cosθ3;b3=L3*cosθ3;

1)当b1≠b2且b1≠b3时:1) When b1≠b2 and b1≠b3:

u3=-(a1+b1*u2);u3=-(a1+b1*u2);

最后带入公式:Finally into the formula:

当b1=b2时:When b1=b2:

u2=(a1*a2+a2*a3+a1*a3)/(a2*(b3-b1));u2=(a1*a2+a2*a3+a1*a3)/(a2*(b3-b1));

u3=-(u2*b1+a1);u3=-(u2*b1+a1);

2)当b1=b3时:2) When b1=b3:

u2=(a1*a2+a2*a3+a1*a3)/(a3*(b2-b1));u2=(a1*a2+a2*a3+a1*a3)/(a3*(b2-b1));

u3=-(u2*b1+a1);u3=-(u2*b1+a1);

3)当b1=b2=b3时:3) When b1=b2=b3:

h=b1=b2=b3。h=b1=b2=b3.

与现有技术相比,本发明测量系统将待测土样放置在测试台上,利用三组激光头对准待测土样发射激光脉冲,经待测土样反射后,激光向各方向散射,部分散射光返回到激光位移传感器组件被接收,根据激光脉冲发出到返回被接收所经历的时间,分别计算三组激光头与待测土样表面的距离,再计算出激光头与待测土样表面的垂直高度,结合激光头与测试台表面的垂直高度,做差后即能够得到待测土样的厚度。本发明测量系统采用模块式结构,安全可靠、自动化程度高、能够远距离操作,在使用过程中能够避免与待测土样的直接接触,自动测量土样的应变变化,大幅度提高了检测的精度和工作效率,并且也便于进行零部件的维护与更换,为节约使用成本提供了便利,易于在生产和教学中推广应用。Compared with the existing technology, the measurement system of the present invention places the soil sample to be tested on the test platform, and uses three sets of laser heads to aim at the soil sample to be tested to emit laser pulses. After being reflected by the soil sample to be tested, the laser light scatters in all directions , part of the scattered light returns to the laser displacement sensor assembly and is received. According to the time elapsed from the sending out of the laser pulse to the return being received, the distances between the three groups of laser heads and the surface of the soil sample to be tested are calculated respectively, and then the distance between the laser head and the soil sample to be tested is calculated. The vertical height of the sample surface, combined with the vertical height of the laser head and the test platform surface, can get the thickness of the soil sample to be tested after making a difference. The measurement system of the present invention adopts a modular structure, which is safe and reliable, has a high degree of automation, and can be operated remotely. During use, it can avoid direct contact with the soil sample to be tested, and automatically measure the strain change of the soil sample, which greatly improves the detection efficiency. Accuracy and work efficiency, and it is also easy to maintain and replace parts, which provides convenience for saving the cost of use, and is easy to popularize and apply in production and teaching.

与现有技术相比,本发明测量方法与传统的手工方式相比,能够彻底克服人工手动检测的缺点,减少了对待测土样的扰动,从而提高了土样厚度变化的测量精度。Compared with the prior art, compared with the traditional manual method, the measurement method of the present invention can completely overcome the shortcomings of manual detection, reduce the disturbance of the soil sample to be tested, and thus improve the measurement accuracy of the thickness change of the soil sample.

附图说明Description of drawings

图1本发明的整体结构正视图;The whole structure front view of Fig. 1 of the present invention;

图2本发明的整体结构侧视图;The overall structure side view of Fig. 2 of the present invention;

图3本发明的工作原理示意图;Fig. 3 schematic diagram of working principle of the present invention;

图4本发明的基本原理流程图;The basic principle flowchart of Fig. 4 of the present invention;

附图中:1-支撑底盘;2-连接螺栓;3-支撑架;4-测试台;5-纵向调整旋钮;6-水平调整旋钮;7-激光头;8-激光位移传感器组件;9-触屏计算机控制系统;10-高度调节旋钮;11-高度活动滑槽;12-USB接口;13-触屏控制按钮。In the drawings: 1-support chassis; 2-connecting bolts; 3-support frame; 4-test bench; 5-longitudinal adjustment knob; 6-level adjustment knob; 7-laser head; 8-laser displacement sensor assembly; 9- Touch screen computer control system; 10-height adjustment knob; 11-height movable chute; 12-USB interface; 13-touch screen control button.

具体实施方式Detailed ways

下面结合附图对本发明做进一步的详细说明。The present invention will be described in further detail below in conjunction with the accompanying drawings.

参见图1-2,本发明包括支架系统、激光位移测量系统及计算机数据处理系统。Referring to Figures 1-2, the present invention includes a bracket system, a laser displacement measurement system and a computer data processing system.

支架系统由支撑底盘1、支撑架3、测试台4组成;激光位移测量系统由激光头7、激光位移传感器组件8、高度调节旋钮10以及高度活动滑槽11组成;计算机数据处理系统为触屏计算机控制系统9。具体地,本发明包括安装在支撑底盘1上的测试台4,测试台4上放置待测土样,待测土样的上方设有激光位移传感器组件8,激光位移传感器组件8包括USB接口12以及分布在同一高度平面上的三组激光头7,激光位移传感器组件8通过支撑架3设置在待测土样的上方。测试台4上安装有纵向调整旋钮5与水平调整旋钮6。激光位移传感器组件8通过高度调节旋钮10与支撑架3连接,支撑架3上设置有能够与高度调节旋钮10相配合的高度活动滑槽11。激光位移传感器组件8与激光头7一体式连接触屏计算机控制系统9。触屏计算机控制系统9上具有USB接口12以及触屏控制按钮13。The bracket system is composed of a support chassis 1, a support frame 3, and a test bench 4; the laser displacement measurement system is composed of a laser head 7, a laser displacement sensor assembly 8, a height adjustment knob 10, and a height movable chute 11; the computer data processing system is a touch screen Computer control system9. Specifically, the present invention includes a test bench 4 installed on the support chassis 1, a soil sample to be tested is placed on the test bench 4, a laser displacement sensor assembly 8 is arranged above the soil sample to be tested, and the laser displacement sensor assembly 8 includes a USB interface 12 As well as three groups of laser heads 7 distributed on the same height plane, the laser displacement sensor assembly 8 is arranged above the soil sample to be measured through the support frame 3 . A vertical adjustment knob 5 and a horizontal adjustment knob 6 are installed on the test bench 4 . The laser displacement sensor assembly 8 is connected to the support frame 3 through a height adjustment knob 10 , and the support frame 3 is provided with a height movable chute 11 that can cooperate with the height adjustment knob 10 . The laser displacement sensor assembly 8 and the laser head 7 are integrally connected to the touch screen computer control system 9 . The touch screen computer control system 9 has a USB interface 12 and a touch screen control button 13 .

参见图3-4,本发明在使用时,试验前首先将制好的待测土样放置在测试台4上,纵向调整旋钮5和水平调整旋钮6使待测土样正对于三组激光头7,然后旋转高度调节旋钮10,使激光位移传感器组件8处于合适的高度,点击触屏计算机控制系统9中的开始测试按钮,获取数据,然后计算出土样的厚度变化和应变率等数据,最后自动记录和存储。Referring to Figures 3-4, when the present invention is in use, the prepared soil sample to be tested is first placed on the test platform 4 before the test, and the vertical adjustment knob 5 and the horizontal adjustment knob 6 make the soil sample to be tested face the three sets of laser heads 7. Then rotate the height adjustment knob 10 to make the laser displacement sensor assembly 8 be at a suitable height, click the start test button in the touch screen computer control system 9 to obtain data, and then calculate the data such as thickness change and strain rate of the soil sample, and finally Automatic recording and storage.

点击触屏计算机控制系统9中的开始按钮,三组可旋转激光头7依次发射激光脉冲,经目标反射后激光向各方向散射,部分散射光返回到激光位移传感器组件8被接收,记录并处理从激光脉冲发出到返回被接收所经历的时间t,按照下式计算待测土样厚度d:Click the start button in the touch screen computer control system 9, three groups of rotatable laser heads 7 sequentially emit laser pulses, the laser light is scattered in various directions after being reflected by the target, and part of the scattered light returns to the laser displacement sensor assembly 8 to be received, recorded and processed The time t elapsed from the sending out of the laser pulse to the time when the laser pulse is received back is calculated according to the following formula to calculate the thickness d of the soil sample to be tested:

d=s-h;d=s-h;

上式中,h为激光头到待测土样表面的垂直高度;In the above formula, h is the vertical height from the laser head to the surface of the soil sample to be tested;

s为激光头到测试台表面的高度。s is the height from the laser head to the surface of the test bench.

所述h的具体计算方法如下:The specific calculation method of the h is as follows:

输入θ1,θ2,θ3(激光束与中垂线的夹角),将t1,t2,t3(三条激光束自发出至返回经历的时间)带入公式:Input θ1, θ2, θ3 (the angle between the laser beam and the vertical line), and put t1, t2, t3 (the time elapsed from the emission of the three laser beams to the return) into the formula:

L1=(v*t1)/2,L1=(v*t1)/2,

L2=(v*t2)/2,L2=(v*t2)/2,

L3=(v*t3)/2,v为光速;L3=(v*t3)/2, v is the speed of light;

再将L1、L2、L3(激光束的长度)带入公式:Then bring L1, L2, L3 (the length of the laser beam) into the formula:

a1=L1*sinθ1;a1=L1*sinθ1;

a2=L2*sinθ2;a2=L2*sinθ2;

a3=L3*sinθ3;a3=L3*sinθ3;

b1=L1*cosθ1;b1=L1*cosθ1;

b2=L2*cosθ2;b2=L2*cosθ2;

b3=L3*cosθ3;b3=L3*cosθ3;

1)当b1≠b2且b1≠b3时:1) When b1≠b2 and b1≠b3:

u3=-(a1+b1*u2);u3=-(a1+b1*u2);

最后带入公式:Finally into the formula:

当b1=b2时:When b1=b2:

u2=(a1*a2+a2*a3+a1*a3)/(a2*(b3-b1));u2=(a1*a2+a2*a3+a1*a3)/(a2*(b3-b1));

u3=-(u2*b1+a1);u3=-(u2*b1+a1);

2)当b1=b3时:2) When b1=b3:

u2=(a1*a2+a2*a3+a1*a3)/(a3*(b2-b1));u2=(a1*a2+a2*a3+a1*a3)/(a3*(b2-b1));

u3=-(u2*b1+a1);u3=-(u2*b1+a1);

3)当b1=b2=b3时:3) When b1=b2=b3:

h=b1=b2=b3。h=b1=b2=b3.

然后通过土工试验相关公式,能够得到待测试样的轴向应变、胀缩率等数据,最后将结果显示于计算机触摸屏上或传送于远程终端。Then, through the relevant formulas of the geotechnical test, the axial strain, expansion and contraction ratio and other data of the sample to be tested can be obtained, and finally the results are displayed on the computer touch screen or transmitted to the remote terminal.

Claims (8)

  1. A kind of 1. automatic measurement system of soil sample breathing change, it is characterised in that:Including the test in support chassis (1) Platform (4), soil sample to be measured is placed on testboard (4), the top of soil sample to be measured is provided with laser displacement sensor component (8), laser position Displacement sensor component (8) includes three groups of laser heads (7) being distributed in sustained height plane, and three groups of laser heads (7) are launched simultaneously Laser pulse is received after soil sample to be measured reflection by laser displacement sensor component (8);
    According to three groups of laser pulses be issued to return is received the undergone time, calculate respectively three groups of laser heads (7) and The distance on soil sample surface to be measured, then calculate the vertical height of laser head (7) and soil sample surface to be measured, with reference to laser head (7) with The vertical height on testboard (4) surface, the thickness of soil sample to be measured can be accessed after making the difference.
  2. 2. the automatic measurement system of soil sample breathing change according to claim 1, it is characterised in that:Support chassis is pacified on (1) Support frame (3) is filled, laser displacement sensor component (8) is arranged on the top of soil sample to be measured by support frame (3).
  3. 3. the automatic measurement system of soil sample breathing change according to claim 1, it is characterised in that:Described laser displacement passes Sensor component (8) is connected by height adjustment knob (10) with support frame (3), and being provided with described support frame (3) can be with The high activity chute (11) that height adjustment knob (10) is engaged.
  4. 4. the automatic measurement system of soil sample breathing change according to claim 1, it is characterised in that:Described laser displacement passes Sensor component (8) integral type connection touch screen computer control system (9).
  5. 5. the automatic measurement system of soil sample breathing change according to claim 4, it is characterised in that:Described touch screen computer There is USB interface (12) and touch screen control button (13) in control system (9).
  6. 6. the automatic measurement system of soil sample breathing change according to claim 1, it is characterised in that:Described testboard (4) On be provided with for adjusting from the longitudinally adjusted knob (5) of position and horizontal adjustment knob (6) in support chassis (1).
  7. A kind of 7. survey for the automatic measurement system that soil sample breathing described in any one claim changes in 1-6 based on claim Amount method, it is characterised in that comprise the following steps:
    1) soil sample to be measured made is placed on testboard (4);
    2) soil sample to be measured is adjusted to three groups of laser heads (7) of face, and adjusts the height of laser displacement sensor component (8);
    3) three groups of laser heads (7) are opened, are allowed to launch laser pulse to soil sample to be measured, laser pulse reflects by soil sample to be measured Afterwards, received by laser displacement sensor component (8), recording laser pulse is issued to return and is received undergone time t;
    4) soil sample thickness d to be measured is calculated according to the following formula:
    D=s-h;
    In above formula, h is vertical height of the laser head to soil sample surface to be measured;
    S is height of the laser head to testboard surface.
  8. 8. measuring method according to claim 7, it is characterised in that the circular of the h is as follows:
    The angle theta 1 of input laser beam and perpendicular bisector, θ 2, θ 3, time t1, t2 that three laser beams are undergone from sending to returning, T3 brings formula into, and solution obtains length L1, L2, L3 of laser beam;
    L1=(v*t1)/2,
    L2=(v*t2)/2,
    L3=(v*t3)/2, v is the light velocity;
    Bring length L1, L2, L3 of laser beam into formula again:
    A1=L1*sin θ 1;
    A2=L2*sin θ 2;
    A3=L3*sin θ 3;
    B1=L1*cos θ 1;
    B2=L2*cos θ 2;
    B3=L3*cos θ 3;
    1) as b1 ≠ b2 and b1 ≠ b3:
    <mrow> <mi>u</mi> <mn>1</mn> <mo>=</mo> <mrow> <mo>(</mo> <mi>a</mi> <mn>2</mn> <mo>+</mo> <mn>2</mn> <mo>*</mo> <mi>a</mi> <mn>1</mn> <mo>+</mo> <mo>(</mo> <mrow> <mi>a</mi> <mn>3</mn> <mo>+</mo> <mn>2</mn> <mo>*</mo> <mi>a</mi> <mn>1</mn> </mrow> <mo>)</mo> <mo>*</mo> <mfrac> <mrow> <mi>b</mi> <mn>1</mn> <mo>-</mo> <mi>b</mi> <mn>2</mn> </mrow> <mrow> <mn>2</mn> <mo>*</mo> <mrow> <mo>(</mo> <mi>b</mi> <mn>3</mn> <mo>-</mo> <mi>b</mi> <mn>1</mn> <mo>)</mo> </mrow> </mrow> </mfrac> <mo>)</mo> </mrow> <mo>/</mo> <mrow> <mo>(</mo> <msqrt> <mn>3</mn> </msqrt> <mo>*</mo> <mo>(</mo> <mrow> <mi>a</mi> <mn>2</mn> <mo>+</mo> <mi>a</mi> <mn>3</mn> <mo>*</mo> <mfrac> <mrow> <mi>b</mi> <mn>2</mn> <mo>-</mo> <mi>b</mi> <mn>1</mn> </mrow> <mrow> <mi>b</mi> <mn>3</mn> <mo>-</mo> <mi>b</mi> <mn>1</mn> </mrow> </mfrac> </mrow> <mo>)</mo> <mo>)</mo> </mrow> <mo>;</mo> </mrow>
    <mrow> <mi>u</mi> <mn>2</mn> <mo>=</mo> <mfrac> <mrow> <mi>a</mi> <mn>3</mn> <mo>+</mo> <mn>2</mn> <mo>*</mo> <mi>a</mi> <mn>1</mn> <mo>+</mo> <msqrt> <mn>3</mn> </msqrt> <mo>*</mo> <mi>a</mi> <mn>3</mn> <mo>*</mo> <mi>u</mi> <mn>1</mn> </mrow> <mrow> <mn>2</mn> <mo>*</mo> <mrow> <mo>(</mo> <mi>b</mi> <mn>3</mn> <mo>-</mo> <mi>b</mi> <mn>1</mn> <mo>)</mo> </mrow> </mrow> </mfrac> <mo>;</mo> </mrow>
    U3=- (a1+b1*u2);
    Finally bring formula into:
    <mrow> <mi>h</mi> <mo>=</mo> <mrow> <mo>|</mo> <mrow> <mi>u</mi> <mn>3</mn> </mrow> <mo>|</mo> </mrow> <mo>/</mo> <msqrt> <mrow> <mn>1</mn> <mo>+</mo> <mi>u</mi> <mn>1</mn> <mo>*</mo> <mi>u</mi> <mn>1</mn> <mo>+</mo> <mi>u</mi> <mn>2</mn> <mo>*</mo> <mi>u</mi> <mn>2</mn> </mrow> </msqrt> <mo>;</mo> </mrow>
    As b1=b2:
    <mrow> <mi>u</mi> <mn>1</mn> <mo>=</mo> <mrow> <mo>(</mo> <mi>a</mi> <mn>2</mn> <mo>+</mo> <mn>2</mn> <mo>*</mo> <mi>a</mi> <mn>1</mn> <mo>)</mo> </mrow> <mo>/</mo> <mrow> <mo>(</mo> <msqrt> <mn>3</mn> </msqrt> <mo>*</mo> <mi>a</mi> <mn>2</mn> <mo>)</mo> </mrow> <mo>;</mo> </mrow>
    U2=(a1*a2+a2*a3+a1*a3)/(a2* (b3-b1));
    U3=- (u2*b1+a1);
    <mrow> <mi>h</mi> <mo>=</mo> <mrow> <mo>|</mo> <mrow> <mi>u</mi> <mn>3</mn> </mrow> <mo>|</mo> </mrow> <mo>/</mo> <msqrt> <mrow> <mn>1</mn> <mo>+</mo> <mi>u</mi> <mn>1</mn> <mo>*</mo> <mi>u</mi> <mn>1</mn> <mo>+</mo> <mi>u</mi> <mn>2</mn> <mo>*</mo> <mi>u</mi> <mn>2</mn> </mrow> </msqrt> <mo>;</mo> </mrow>
    2) as b1=b3:
    <mrow> <mi>u</mi> <mn>1</mn> <mo>=</mo> <mo>-</mo> <mrow> <mo>(</mo> <mi>a</mi> <mn>3</mn> <mo>+</mo> <mn>2</mn> <mo>*</mo> <mi>a</mi> <mn>1</mn> <mo>)</mo> </mrow> <mo>/</mo> <mo>-</mo> <mrow> <mo>(</mo> <msqrt> <mn>3</mn> </msqrt> <mo>*</mo> <mi>a</mi> <mn>3</mn> <mo>)</mo> </mrow> <mo>;</mo> </mrow>
    U2=(a1*a2+a2*a3+a1*a3)/(a3* (b2-b1));
    U3=- (u2*b1+a1);
    <mrow> <mi>h</mi> <mo>=</mo> <mrow> <mo>|</mo> <mrow> <mi>u</mi> <mn>3</mn> </mrow> <mo>|</mo> </mrow> <mo>/</mo> <msqrt> <mrow> <mn>1</mn> <mo>+</mo> <mi>u</mi> <mn>1</mn> <mo>*</mo> <mi>u</mi> <mn>1</mn> <mo>+</mo> <mi>u</mi> <mn>2</mn> <mo>*</mo> <mi>u</mi> <mn>2</mn> </mrow> </msqrt> <mo>;</mo> </mrow>
    3) as b1=b2=b3:
    H=b1=b2=b3.
CN201711148873.7A 2017-11-17 2017-11-17 A kind of automatic measurement system and its measuring method of soil sample breathing change Pending CN107748369A (en)

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Publication number Priority date Publication date Assignee Title
CN112304234A (en) * 2020-11-06 2021-02-02 上海市政工程设计研究总院(集团)有限公司 Automatic measuring device and measuring method for expansion and shrinkage changes of concrete blocks

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CN201110853Y (en) * 2007-12-05 2008-09-03 中国科学院武汉岩土力学研究所 Non-contact rock and soil shrinkage test device
CN205156867U (en) * 2015-10-30 2016-04-13 长安大学 Marshall test piece height measurement device
CN206281459U (en) * 2016-12-14 2017-06-27 常州高晟传感技术有限公司 A kind of non-contact laser calibrator
CN107328922A (en) * 2017-08-28 2017-11-07 哈尔滨工业大学 The test device that foam concrete volume is deformed under the conditions of a kind of steam curing
CN207488499U (en) * 2017-11-17 2018-06-12 长安大学 A kind of automatic measuring instrument of soil sample breathing variation

Patent Citations (5)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN201110853Y (en) * 2007-12-05 2008-09-03 中国科学院武汉岩土力学研究所 Non-contact rock and soil shrinkage test device
CN205156867U (en) * 2015-10-30 2016-04-13 长安大学 Marshall test piece height measurement device
CN206281459U (en) * 2016-12-14 2017-06-27 常州高晟传感技术有限公司 A kind of non-contact laser calibrator
CN107328922A (en) * 2017-08-28 2017-11-07 哈尔滨工业大学 The test device that foam concrete volume is deformed under the conditions of a kind of steam curing
CN207488499U (en) * 2017-11-17 2018-06-12 长安大学 A kind of automatic measuring instrument of soil sample breathing variation

Cited By (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN112304234A (en) * 2020-11-06 2021-02-02 上海市政工程设计研究总院(集团)有限公司 Automatic measuring device and measuring method for expansion and shrinkage changes of concrete blocks

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