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CN107727483A - A kind of injection shear and method for being used for ground in-situ test based on fiber grating - Google Patents

A kind of injection shear and method for being used for ground in-situ test based on fiber grating Download PDF

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CN107727483A
CN107727483A CN201710983777.8A CN201710983777A CN107727483A CN 107727483 A CN107727483 A CN 107727483A CN 201710983777 A CN201710983777 A CN 201710983777A CN 107727483 A CN107727483 A CN 107727483A
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probe
fiber grating
foundation
fiber
shearing
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CN107727483B (en
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朱鸿鹄
周谷宇
朱宝
施斌
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Nanjing University
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    • G01MEASURING; TESTING
    • G01NINVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
    • G01N3/00Investigating strength properties of solid materials by application of mechanical stress
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01NINVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
    • G01N3/00Investigating strength properties of solid materials by application of mechanical stress
    • G01N3/24Investigating strength properties of solid materials by application of mechanical stress by applying steady shearing forces

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Abstract

本发明涉及一种基于光纤光栅用于地基原位测试的贯入剪切装置及方法。包括多功能探头、迥转钻进装置、光纤光栅无线解调仪、机箱外壳和底座。所述的多功能探头包括Y字形板头和锥尖测头,锥尖测头安装在Y字形板头的底端;所述的迥转钻进装置包括探杆、卡盘、步进电机、压入主机、安装平台和固定装置;所述的探杆自下而上贯穿整个迥转钻进装置,依次穿过卡盘、步进电机、安装平台和压入主机,底部与多功能探头连接;该原位测试方法步骤为:清场、就位;贯入;剪切;多功能探头依次下压到不同深度的土层中,重复前述步骤;拔出多功能探头,结束测试。本发明具有精确度高、稳定性好、防水性好、抗电磁干扰能力强、多参量监测、自动实时监测等优点。

The invention relates to a penetrating shearing device and method for foundation in-situ testing based on optical fiber gratings. Including multi-function probe, rotary drilling device, fiber grating wireless demodulator, chassis shell and base. The multifunctional probe includes a Y-shaped plate head and a cone-point probe, and the cone-point probe is installed at the bottom of the Y-shaped plate head; the rotary drilling device includes a probe rod, a chuck, a stepping motor, Press into the host, installation platform and fixture; the probe rod runs through the entire rotary drilling device from bottom to top, passing through the chuck, stepping motor, installation platform and press into the host in turn, and the bottom is connected with the multi-function probe The steps of the in-situ test method are: clearing the field, putting in place; penetrating; shearing; pressing the multi-function probe into soil layers of different depths in sequence, repeating the above steps; pulling out the multi-function probe to end the test. The invention has the advantages of high precision, good stability, good water resistance, strong anti-electromagnetic interference ability, multi-parameter monitoring, automatic real-time monitoring and the like.

Description

一种基于光纤光栅用于地基原位测试的贯入剪切装置及方法A Penetration Shearing Device and Method Based on Fiber Bragg Grating for Ground In-Situ Testing

技术邻域:Technology Neighborhood:

本发明涉及光纤感测和地基原位测试领域,具体涉及一种基于光纤光栅用于地基原位测试的贯入剪切装置及方法。The invention relates to the field of optical fiber sensing and foundation in-situ testing, in particular to a penetration shearing device and method for foundation in-situ testing based on an optical fiber grating.

技术背景:technical background:

土体作为一种天然生成的三相介质,一般具有含水率高、孔隙比大、压缩性高、抗剪强度低等特点,在工程施工中的危害性大,常造成地基破坏、边坡失稳等问题。因此快速有效地测定地基土体的物理力学性质是岩土工程中的重要课题。目前,常用的地基原位测试方法包括平板荷载试验、十字板剪切试验和静力触探试验等。As a naturally occurring three-phase medium, soil generally has the characteristics of high moisture content, large void ratio, high compressibility, and low shear strength. It is very harmful in engineering construction, often causing foundation damage and slope loss. Stability and other issues. Therefore, it is an important subject in geotechnical engineering to quickly and effectively measure the physical and mechanical properties of foundation soil. At present, the commonly used foundation in-situ testing methods include plate load test, cross plate shear test and static penetration test.

一般而言,平板荷载试验是确定地基承载力最直接也相对准确的原位测试方法,但该方法成本较高,耗时费力,限制了其在工程中的应用。十字板剪切试验多为手动操作,人工误差大。近年来开始出现的电测式十字板剪切试验和静力触探试验在理论上较为完善,具有快速、经济、节省人力等优点,但这两种方法只能测量单个物理量,且应变片的测量精度有限,在现场测试过程中可能会受到电磁干扰,应变片在潮湿环境中容易发生短路,不适合富水地层土体的测试。Generally speaking, the plate load test is the most direct and relatively accurate in-situ test method to determine the bearing capacity of the foundation, but this method is expensive, time-consuming and laborious, which limits its application in engineering. The cross-plate shear test is mostly manual operation, and the manual error is large. The electric cross-plate shear test and static penetration test that have appeared in recent years are relatively perfect in theory, and have the advantages of being fast, economical, and manpower-saving. However, these two methods can only measure a single physical quantity, and the strain gauge The measurement accuracy is limited, and it may be subject to electromagnetic interference during the field test. The strain gauge is prone to short circuit in a humid environment, so it is not suitable for the test of water-rich formation soil.

光纤传感器因具有灵敏度高、稳定性好、耐腐蚀、抗电磁波干扰、准分布式等优点,近年来得到了飞速的发展。其中,光纤布拉格光栅(fiber Bragg grating,简称光纤光栅)是目前比较成熟的光纤传感技术,已广泛应用于地质工程、岩土工程和水利工程等多个领域,为地基原位测试方法的革新提供了一种有力的工具。光纤光栅的传感原理是,当宽带入射光进入光纤时,光纤光栅会反射特定波长的光,反射光的中心波长λB和应变Δε、温度ΔT之间满足以下关系:Optical fiber sensors have developed rapidly in recent years because of their advantages such as high sensitivity, good stability, corrosion resistance, anti-electromagnetic interference, and quasi-distribution. Among them, fiber Bragg grating (fiber Bragg grating, referred to as fiber grating) is currently a relatively mature optical fiber sensing technology, which has been widely used in many fields such as geological engineering, geotechnical engineering, and hydraulic engineering, and is an innovation of in-situ testing methods for foundations. provides a powerful tool. The sensing principle of fiber grating is that when the broadband incident light enters the fiber, the fiber grating will reflect light of a specific wavelength, and the central wavelength λ B of the reflected light satisfies the following relationship with the strain Δε and temperature ΔT:

式中:Kε为应变传感灵敏度系数,KT为温度传感灵敏度系数,ΔλB为中心波长的变化量。对于一般的光纤光栅传感器,Kε≈0.78×10-6με-1,KT≈6.67×10-6-1。光纤光栅的中心波长对温度和应变都极为敏感,所以光纤光栅应变传感器和温度传感器具有很高的精度。同时,不同中心波长的光纤光栅可以串联使用,组成准分布式的传感序列,实现对光纤沿线应变或温度数据的自动采集。In the formula: K ε is the strain sensing sensitivity coefficient, K T is the temperature sensing sensitivity coefficient, and Δλ B is the variation of the central wavelength. For general fiber grating sensors, K ε ≈0.78×10 -6 με -1 , K T ≈6.67×10 -6-1 . The central wavelength of the fiber grating is extremely sensitive to temperature and strain, so the fiber grating strain sensor and temperature sensor have high precision. At the same time, fiber gratings with different central wavelengths can be used in series to form a quasi-distributed sensing sequence to realize automatic collection of strain or temperature data along the optical fiber.

发明内容Contents of the invention

针对现有地基原位测试技术的不足,本发明的目的是提供一种基于光纤光栅用于地基原位测试的贯入剪切装置及方法。与传统方法相比,本发明具有精确度高、稳定性好、防水性好、抗电磁干扰能力强、多参量监测、自动实时监测等优点,可同时获取锥尖阻力、土体抗剪强度和探头温度,并通过光纤光栅无线解调仪实现监测数据的自动采集、远程传输等功能。Aiming at the deficiencies of the existing foundation in-situ testing technology, the object of the present invention is to provide a penetration shearing device and method for foundation in-situ testing based on fiber gratings. Compared with the traditional method, the present invention has the advantages of high precision, good stability, good water resistance, strong anti-electromagnetic interference ability, multi-parameter monitoring, automatic real-time monitoring, etc., and can simultaneously obtain cone tip resistance, soil shear strength and Probe temperature, and through the fiber grating wireless demodulator to realize the automatic collection of monitoring data, remote transmission and other functions.

本发明采用了如下技术方案:一种基于光纤光栅用于地基原位测试的贯入剪切装置,包括多功能探头、迥转钻进装置、光纤光栅无线解调仪、机箱外壳和底座,多功能探头穿过底座贯入地基土体中,另一头连接迥转钻进装置再经由信号传输光纤与光纤光栅无线解调仪连接,迥转钻进装置外设机箱外壳,机箱外壳和底座连接;所述的多功能探头包括Y字形板头和锥尖测头,锥尖测头安装在Y字形板头的底端;所述的迥转钻进装置包括探杆、卡盘、步进电机、安装平台、压入主机和固定装置,所述的探杆自下而上贯穿整个迥转钻进装置,依次穿过卡盘、步进电机、安装平台和压入主机,探杆底部与多功能探头连接;迥转钻进装置通过固定装置安装在机箱外壳内壁;所述的底座下部设置滚轮和支座。The present invention adopts the following technical scheme: a penetrating and shearing device for ground in-situ testing based on fiber gratings, including a multi-functional probe, a rotary drilling device, a fiber grating wireless demodulator, a chassis shell and a base, and more The functional probe penetrates the foundation soil through the base, and the other end is connected to the rotary drilling device, and then connected to the fiber grating wireless demodulator through the signal transmission optical fiber. The rotary drilling device is equipped with a chassis shell, and the chassis shell is connected to the base; The multifunctional probe includes a Y-shaped plate head and a cone-point probe, and the cone-point probe is installed at the bottom of the Y-shaped plate head; the rotary drilling device includes a probe rod, a chuck, a stepping motor, Install the platform, press into the host and the fixing device. The probe rod runs through the entire rotary drilling device from bottom to top, and passes through the chuck, stepping motor, installation platform and press into the host in turn. The bottom of the probe and the multi-functional The probe is connected; the rotary drilling device is installed on the inner wall of the chassis shell through the fixing device; the lower part of the base is provided with rollers and supports.

所述的Y字形板头由三块夹角互为120°的三角形金属侧板组成,各金属侧板上都安装侧板光纤光栅应变传感器,侧板光纤光栅应变传感器通过信号传输光纤互相串联。The Y-shaped plate head is composed of three triangular metal side plates with an angle of 120° to each other. Each metal side plate is equipped with side plate fiber Bragg grating strain sensors, and the side plate fiber Bragg grating strain sensors are connected in series through signal transmission fibers.

所述的Y字形板头的侧板上刻有细槽,侧板光纤光栅应变传感器紧紧黏贴在细槽中间,表面覆盖一层环氧树脂。A thin groove is engraved on the side plate of the Y-shaped head, and the fiber grating strain sensor on the side plate is tightly pasted in the middle of the thin groove, and the surface is covered with a layer of epoxy resin.

所述的锥尖测头由下往上依次设置锥尖头、传力柱、弹性金属膜片、锥尖头光纤光栅应变传感器和光纤光栅温度传感器;锥尖头光纤光栅应变传感器紧贴在弹性金属膜片上,通过信号传输光纤与光纤光栅温度传感器串联。The tapered measuring head is provided with a tapered point, a force transmission column, an elastic metal diaphragm, a tapered fiber grating strain sensor and a fiber grating temperature sensor from bottom to top; the tapered fiber grating strain sensor is closely attached to the elastic On the metal diaphragm, the signal transmission fiber is connected in series with the fiber grating temperature sensor.

所述的弹性金属膜片为四周固定的等厚度圆形薄板。The elastic metal diaphragm is a circular thin plate of equal thickness fixed around.

所述的探杆为单个或多个串联,探杆侧边开有细缝,刚好允许信号传输光纤穿过细缝,并放置在探杆中空部分。The probe rods are single or multiple in series, and there are slits on the sides of the probe rods, which just allow the signal transmission optical fiber to pass through the slits and be placed in the hollow part of the probe rods.

使用所述的一种基于光纤光栅用于地基原位测试的贯入剪切装置的方法,包括如下步骤:Using the described method of penetrating a shearing device based on a fiber grating for foundation in-situ testing includes the following steps:

1)清场、就位:清理并平整待测场地,装置底座固定在待测地基上方,将信号传输光纤连接至光纤光栅无线解调仪;1) Clean up the site and put it in place: clean up and level the site to be tested, fix the base of the device above the foundation to be tested, and connect the signal transmission fiber to the fiber grating wireless demodulator;

2)贯入:压入主机提供推力,将多功能探头垂直贯入到所要测试的地基深度,测量多功能探头的锥尖阻力和温度变化;2) Penetration: Press into the host to provide thrust, vertically penetrate the multi-function probe to the depth of the foundation to be tested, and measure the cone tip resistance and temperature change of the multi-function probe;

3)剪切:用卡盘将探杆卡住,静置数分钟,多功能探头在步进电机作用下,以预先设置好的剪切速率在土层中缓慢旋转,直至将周围土体完全剪破,测量地基土抗剪强度;3) Shearing: Clamp the probe rod with a chuck and let it stand for a few minutes. Under the action of the stepping motor, the multi-function probe rotates slowly in the soil layer at a preset shear rate until the surrounding soil is completely Shearing, measuring the shear strength of foundation soil;

4)再贯入:完成一次测试后,静置数分钟,将多功能探头下压到要测试的各个深度,重复步骤2和步骤3的操作;4) Re-penetration: After completing a test, let it stand for a few minutes, press down the multi-function probe to each depth to be tested, and repeat steps 2 and 3;

5)取出:测试完成后将探杆缓慢从土中拔出,清理多功能探头,测试中所有数据均用光纤光栅无线解调仪实时采集、记录保存在本地和/或上传至云端感器测得,并用作光纤光栅应变传感器的温度补偿。5) Take out: After the test is completed, pull out the probe rod slowly from the soil, clean the multi-function probe, and use the fiber grating wireless demodulator to collect all the data in real time during the test, save the records locally and/or upload them to the cloud sensor for testing obtained and used as temperature compensation for fiber grating strain sensors.

步骤(2)所述的多功能探头的锥尖阻力经过理论公式推导得出:式中ps为锥尖阻力;ε为弹性金属膜片的切向应变,由贴在上面的锥尖头光纤光栅应变传感器测得;E、h、v分别为弹性金属膜片的弹性模量、厚度和泊松比。The cone tip resistance of the multifunctional probe described in step (2) is deduced through theoretical formula: In the formula, p s is the resistance of the cone tip; ε is the tangential strain of the elastic metal diaphragm, which is measured by the fiber grating strain sensor attached to the cone tip; E, h, v are the elastic modulus of the elastic metal diaphragm , thickness and Poisson's ratio.

步骤(3)所述的地基土抗剪强度经过理论公式推导得出:式中:τf为地基土抗剪强度,E为Y字形板头侧板的弹性模量;α为剪切时侧板的轴向应变与径向应变的比值,通过标定试验确定;ε1、ε2、ε3分别为Y字形板头各个侧板上的径向应变,由贴在侧板上的侧板光纤光栅应变传感器测得;R、H分别为Y字形板头半径和高度。The foundation soil shear strength described in step (3) is deduced through theoretical formula: In the formula: τ f is the shear strength of the foundation soil, E is the elastic modulus of the side plate of the Y-shaped plate head; α is the ratio of the axial strain to the radial strain of the side plate during shearing, which is determined by the calibration test; ε 1 . _

有益效果Beneficial effect

1.与传统的电测十字板剪切仪和静力触探相比,本发明具有精确度高、稳定性好、防水性好、抗电磁干扰能力强,不会因为仪器老化或者密封性不好等原因受潮发生短路,因此适用于富水地层土体的原位测试。1. Compared with the traditional electric measuring cross-plate shearing instrument and static penetrating probe, the present invention has high precision, good stability, good water resistance, and strong anti-electromagnetic interference ability, and will not be damaged due to aging of the instrument or poor sealing. Short circuit occurs due to damp and other reasons, so it is suitable for in-situ testing of soil in water-rich formations.

2.采用本发明可同时获取多个物理量,包括锥尖阻力、抗剪强度和探头温度,三组监测数据可以相互比较、印证,对正确评价土体的物理力学性质和现场的工程地质条件具有重要的意义。2. Multiple physical quantities can be obtained simultaneously by adopting the present invention, including cone tip resistance, shear strength and probe temperature, and the three groups of monitoring data can be compared and verified with each other, which is helpful for correctly evaluating the physical and mechanical properties of the soil and the engineering geological conditions of the site Significance.

3.本发明采用Y字形板头,相较于传统的十字板剪切仪,更容易贯入土体中,减小测试过程中对原位土体的扰动。3. The present invention adopts a Y-shaped plate head, which is easier to penetrate into the soil than the traditional cross-plate shearer, and reduces the disturbance to the in-situ soil during the test.

4.通过光纤光栅无线解调仪,实现了光纤光栅传感器读数的自动获取、远程传输和实时显示等。4. Through the fiber grating wireless demodulator, the automatic acquisition, remote transmission and real-time display of the readings of the fiber grating sensor are realized.

附图说明Description of drawings

图1为本发明的一个较佳实施例的基于光纤光栅用于地基原位测试的贯入剪切装置示意图。FIG. 1 is a schematic diagram of a fiber grating-based penetrating shearing device for foundation in-situ testing according to a preferred embodiment of the present invention.

其中:1.包括多功能探头,2.迥转钻进装置,3.光纤光栅无线解调仪,4.机箱外壳,5.底座,6.Y字形板头,7.锥尖测头,8.探杆,9.卡盘,10.步进电机,11.安装平台,12.压入主机,13.固定装置,14.滚轮,15.支座,16.侧板,17.光纤光栅应变传感器,18.信号传输光纤。Among them: 1. Including multi-function probe, 2. Rotary drilling device, 3. Fiber Bragg grating wireless demodulator, 4. Chassis shell, 5. Base, 6. Y-shaped plate head, 7. Conical tip probe, 8. .Probe rod, 9. Chuck, 10. Stepping motor, 11. Installation platform, 12. Press into the host, 13. Fixing device, 14. Roller, 15. Support, 16. Side plate, 17. Fiber grating strain Sensor, 18. Optical fiber for signal transmission.

图2为本发明的一个较佳实施例的多功能探头示意图,包括Y字形板头和锥尖测头。Fig. 2 is a schematic diagram of a multifunctional probe according to a preferred embodiment of the present invention, including a Y-shaped plate head and a cone-point measuring head.

其中:6.Y字形板头,7.锥尖测头,16.侧板,17-1为侧板光纤光栅应变传感器,17-2为锥尖头光纤光栅应变传感器,18.信号传输光纤,19.锥尖头,20.传力柱,21.弹性金属膜片,22.光纤光栅温度传感器。Among them: 6. Y-shaped plate head, 7. Tapered tip probe, 16. Side plate, 17-1 is the side plate fiber grating strain sensor, 17-2 is the cone tip fiber grating strain sensor, 18. Signal transmission fiber, 19. Tapered tip, 20. Force transmission column, 21. Elastic metal diaphragm, 22. Fiber Bragg grating temperature sensor.

图3为本发明的Y字形板头侧板剪切时的受力情况示意图。其中τf为地基土抗剪强度,F为侧板所承受的土压力,2θ为圆锥形剪破面的顶角。Fig. 3 is a schematic diagram of the stress situation when the Y-shaped plate head side plate of the present invention is sheared. Where τ f is the shear strength of the foundation soil, F is the earth pressure on the side plate, and 2θ is the apex angle of the conical shear surface.

图4为根据本发明的一个较佳实施例的试验结果所绘制的曲线,包括尖端阻力-深度、抗剪强度-深度、温度-深度曲线。Fig. 4 is a curve drawn according to the test results of a preferred embodiment of the present invention, including tip resistance-depth, shear strength-depth, temperature-depth curves.

具体实施方式detailed description

下面结合附图和优选实施例对本发明的技术方案作更为具体的描述。The technical solutions of the present invention will be described in more detail below in conjunction with the accompanying drawings and preferred embodiments.

一种基于光纤光栅用于地基原位测试的贯入剪切装置,包括多功能探头、迥转钻进装置、光纤光栅无线解调仪、机箱外壳和底座。所述的多功能探头包括Y字形板头和锥尖测头,锥尖测头安装在Y字形板头的底端;所述的迥转钻进装置包括探杆、卡盘、步进电机、安装平台、压入主机和固定装置;所述的探杆自下而上贯穿整个迥转钻进装置,依次穿过卡盘、步进电机、安装平台和压入主机,底部与多功能探头连接;迥转钻进装置通过固定装置被安装在机箱外壳内壁;所述的底座上部安置机箱外壳,下部安装滚轮和支座,多功能探头从底座中间穿过,贯入地基土体中。A penetrating shearing device based on fiber gratings for foundation in-situ testing, including a multifunctional probe, a rotary drilling device, a fiber grating wireless demodulator, a case shell and a base. The multifunctional probe includes a Y-shaped plate head and a cone-point probe, and the cone-point probe is installed at the bottom of the Y-shaped plate head; the rotary drilling device includes a probe rod, a chuck, a stepping motor, Install the platform, press into the host and the fixing device; the probe rod runs through the entire rotary drilling device from bottom to top, passes through the chuck, stepping motor, installation platform and press into the host in turn, and connects with the multi-function probe at the bottom The rotary drilling device is installed on the inner wall of the chassis shell through the fixing device; the chassis shell is placed on the upper part of the base, the roller and the support are installed on the lower part, and the multifunctional probe passes through the middle of the base and penetrates into the foundation soil.

作为优选,所述的Y字形板头由三块夹角互为120°的三角形金属侧板组成,各金属侧板上都安装了一个光纤光栅应变传感器,三个光纤光栅应变传感器通过信号传输光纤互相串联。As a preference, the Y-shaped plate head is composed of three triangular metal side plates with an included angle of 120° to each other, and a fiber grating strain sensor is installed on each metal side plate, and the three fiber grating strain sensors transmit signals through the optical fiber in series with each other.

作为优选,所述的Y字形板头的侧板上刻有细槽,光纤光栅应变传感器紧紧黏贴在细槽中间,表面覆盖一层环氧树脂。As a preference, thin grooves are engraved on the side plate of the Y-shaped head, the fiber grating strain sensor is tightly pasted in the middle of the thin grooves, and the surface is covered with a layer of epoxy resin.

作为优选,所述的锥尖测头包括锥尖头、传力柱、弹性金属膜片、光纤光栅应变传感器和光纤光栅温度传感器;光纤光栅应变传感器紧贴在弹性金属膜片上,与光纤光栅温度传感器串联。As preferably, the tapered probe includes a tapered point, a force transmission column, an elastic metal diaphragm, an optical fiber grating strain sensor and an optical fiber grating temperature sensor; the optical fiber grating strain sensor is closely attached to the elastic metal diaphragm, and The temperature sensors are connected in series.

作为优选,所述的弹性金属膜片为四周固定的等厚度圆形薄板,通过传力柱与锥尖头相连接;当锥尖头受到阻力时,弹性金属膜片发生弯曲变形,带动光纤光栅应变传感器产生应变。As a preference, the elastic metal diaphragm is a circular thin plate of equal thickness fixed around it, which is connected to the cone tip through a force transmission column; when the cone tip is subjected to resistance, the elastic metal diaphragm bends and deforms, driving the fiber grating The strain sensor generates strain.

作为优选,所述的探杆顶部可通过螺纹连接更多探杆,以增大贯入深度,每根探杆侧边开有细缝,刚好允许信号传输光纤穿过细缝,并放置在探杆中空部分。As a preference, the top of the probe rod can be threaded to connect more probe rods to increase the penetration depth, and each probe rod has a slit on the side, which just allows the signal transmission optical fiber to pass through the slit and be placed on the probe rod hollow part.

作为优选,所述的信号传输光纤一端将所有光纤光栅应变传感器和温度传感器串联,一端从探杆中穿过,延伸到机箱外壳外,与光纤光栅无线解调仪连接。Preferably, one end of the signal transmission optical fiber connects all the fiber grating strain sensors and temperature sensors in series, and one end passes through the probe rod, extends out of the casing, and connects with the fiber grating wireless demodulator.

进一步地,上述一种基于光纤光栅用于地基原位测试的贯入剪切装置的使用方法,包括如下步骤:Further, the above-mentioned method of using a fiber grating-based penetrating shear device for foundation in-situ testing includes the following steps:

步骤一为清场、就位:清理并平整待测场地,装置底座固定在待测地基上方,将信号传输光纤连接至光纤光栅无线解调仪。Step 1 is to clear the site and put it in place: clean and level the site to be tested, fix the base of the device above the foundation to be tested, and connect the signal transmission fiber to the fiber grating wireless demodulator.

步骤二为贯入:压入主机提供推力,将多功能探头垂直贯入到所要测试的地基深度,测量多功能探头的锥尖阻力和温度变化。Step 2 is penetration: press into the host to provide thrust, vertically penetrate the multi-function probe to the depth of the foundation to be tested, and measure the cone resistance and temperature change of the multi-function probe.

步骤三为剪切:用卡盘将探杆卡住,静置数分钟,多功能探头在步进电机作用下,以预先设置好的剪切速率在土层中缓慢旋转,直至将周围土体完全剪破,测量地基土抗剪强度。Step 3 is shearing: clamp the probe rod with a chuck and let it stand for a few minutes. Under the action of the stepping motor, the multi-functional probe rotates slowly in the soil layer at a preset shear rate until the surrounding soil Complete shearing, measure the shear strength of foundation soil.

步骤四为再贯入:完成一次测试后,静置数分钟,将多功能探头下压到要测试的各个深度,重复步骤2和步骤3的操作。Step 4 is re-penetration: After completing a test, let it stand for a few minutes, press down the multi-function probe to each depth to be tested, and repeat steps 2 and 3.

步骤五为取出:测试完成后将探杆缓慢从土中拔出,清理多功能探头。Step 5 is taking out: After the test is completed, slowly pull out the probe rod from the soil, and clean the multi-function probe.

作为优选,步骤二所述的多功能探头温度由锥尖测头中的光纤光栅温度传感器测得,并用作光纤光栅应变传感器的温度补偿。Preferably, the temperature of the multifunctional probe described in step 2 is measured by the fiber Bragg grating temperature sensor in the tapered probe, and used as temperature compensation for the fiber Bragg grating strain sensor.

作为优选,步骤二所述的多功能探头的锥尖阻力经过理论公式推导得出:式中ps为锥尖阻力;ε为弹性金属膜片的切向应变,由贴在上面的光纤光栅应变传感器测得;E、h、v分别为弹性金属膜片的弹性模量、厚度和泊松比。As a preference, the cone tip resistance of the multifunctional probe described in step 2 is derived through a theoretical formula: In the formula, p s is the resistance of the cone tip; ε is the tangential strain of the elastic metal diaphragm, which is measured by the fiber grating strain sensor attached to it; E, h, v are the elastic modulus, thickness and poise of the elastic metal diaphragm, respectively Songby.

作为优选,步骤三所述的地基土抗剪强度经过理论公式推导得出:式中:τf为地基土抗剪强度;E为Y字形板头侧板的弹性模量;α为剪切时侧板的轴向应变与径向应变的比值,通过标定试验确定;ε1、ε2、ε3分别为Y字形板头各个侧板上的径向应变,由贴在侧板上的光纤光栅应变传感器测得;R、H分别为Y字形板头半径和高度。As a preference, the shear strength of foundation soil described in step 3 is derived through a theoretical formula: In the formula: τ f is the shear strength of the foundation soil; E is the elastic modulus of the side plate of the Y-shaped plate head; α is the ratio of the axial strain to the radial strain of the side plate during shearing, which is determined by the calibration test; ε 1 . _

作为优选,步骤二、三、四所述的温度和应变数据均用光纤光栅无线解调仪实时采集、记录保存在本地和/或上传至云端。Preferably, the temperature and strain data described in steps 2, 3 and 4 are collected in real time with a fiber grating wireless demodulator, recorded and saved locally and/or uploaded to the cloud.

实施例Example

如附图1和附图2所示,一种基于光纤光栅用于地基原位测试的贯入剪切装置,包括多功能探头1、迥转钻进装置2、光纤光栅无线解调仪3、机箱外壳4和底座5。所述的多功能探头1包括Y字形板头6和锥尖测头7,锥尖测头7安装在Y字形板头6的底端;所述的迥转钻进装置2包括探杆8、卡盘9、步进电机10、安装平台11、压入主机12、和固定装置13;所述的探杆8自下而上贯穿整个迥转钻进装置2,依次穿过卡盘9、步进电机10、安装平台11和压入主机12,底部与多功能探头1连接;迥转钻进装置2通过固定装置13被安装在机箱外壳4内壁;所述的底座5上部安置机箱外壳4,下部安装滚轮14和支座15,多功能探头1从底座5中间穿过,贯入地基土体中。As shown in accompanying drawings 1 and 2, a penetration shearing device based on fiber gratings for foundation in-situ testing includes a multifunctional probe 1, a rotary drilling device 2, a fiber grating wireless demodulator 3, Chassis shell 4 and base 5. The multifunctional probe 1 includes a Y-shaped plate head 6 and a cone-point probe 7, and the cone-point probe 7 is installed at the bottom of the Y-shaped plate head 6; the rotary drilling device 2 includes a probe rod 8, Chuck 9, stepper motor 10, installation platform 11, press-in host machine 12, and fixing device 13; the probe rod 8 runs through the entire rotary drilling device 2 from bottom to top, and passes through the chuck 9, step The motor 10, the installation platform 11 and the press-in host 12 are connected to the bottom of the multi-function probe 1; the rotary drilling device 2 is installed on the inner wall of the chassis shell 4 through the fixing device 13; the chassis shell 4 is placed on the upper part of the base 5, Rollers 14 and bearings 15 are installed in the lower part, and the multifunctional probe 1 passes through the middle of the base 5 and penetrates into the foundation soil.

本实施例中,所述的Y字形板头6由三块夹角互为120°三角形金属侧板16组成,侧板16的材料采用具有线弹性应力-应变关系的不锈钢,尺寸厚度d×高度H×半径R=0.1cm×10cm×5cm,各金属侧板16上刻有细槽,细槽中间紧紧黏贴一个侧板光纤光栅应变传感器17-1,传感器表面覆盖一层环氧树脂,三个侧板光纤光栅应变传感器17-1通过信号传输光纤18互相串联。In this embodiment, the Y-shaped plate head 6 is composed of three triangular metal side plates 16 with an included angle of 120° to each other. The material of the side plates 16 is stainless steel with a linear elastic stress-strain relationship, and the size is thickness d×height H×radius R=0.1cm×10cm×5cm, each metal side plate 16 is engraved with a thin groove, and a side plate fiber grating strain sensor 17-1 is tightly pasted in the middle of the thin groove, and the surface of the sensor is covered with a layer of epoxy resin, The three side plate fiber grating strain sensors 17 - 1 are connected in series with each other through the signal transmission optical fiber 18 .

本实施例中,所述的锥尖测头7包括锥尖头19、传力柱20、弹性金属膜片21、锥尖头光纤光栅应变传感器17-2和光纤光栅温度传感器22。所述的锥尖头光纤光栅应变传感器17-2紧贴在弹性金属膜片21上,与光纤光栅温度传感器22串联。所述的弹性金属膜片21为四周固定的等截面圆形薄板,通过传力柱20与锥尖头19相连接,当锥尖头19受到阻力时,弹性金属膜片21弯曲变形,从而带动贴在上面的光纤光栅应变传感器17-2产生应变。In this embodiment, the tapered probe 7 includes a tapered head 19 , a force transmission column 20 , an elastic metal diaphragm 21 , a tapered fiber grating strain sensor 17 - 2 and a fiber grating temperature sensor 22 . The tapered fiber grating strain sensor 17 - 2 is closely attached to the elastic metal diaphragm 21 and connected in series with the fiber grating temperature sensor 22 . The elastic metal diaphragm 21 is a circular thin plate with equal cross-section fixed around it, and is connected with the cone point 19 through the force transmission column 20. When the cone point 19 is subjected to resistance, the elastic metal diaphragm 21 bends and deforms, thereby driving The fiber grating strain sensor 17-2 attached above produces strain.

本实施例中,所述的探杆8为单个或多个通过螺纹或其他紧固件串联更多探杆8,以增大贯入深度,探杆8侧边开有细缝,刚好允许信号传输光纤18穿过细缝,并放置在探杆8中空部分。所述的信号传输光纤18采用直径为0.9mm的单模单芯紧包光纤,其一端将所有光纤光栅应变传感器17和信号传输光纤18串联,一端从探杆8的中空部分穿过,延伸到机箱外壳4外,与光纤光栅无线解调仪3连接。In this embodiment, the probe rods 8 are single or multiple probe rods 8 connected in series through threads or other fasteners to increase the penetration depth. The transmission optical fiber 18 passes through the slit and is placed in the hollow part of the probe rod 8 . The signal transmission optical fiber 18 adopts a single-mode single-core tight-packed optical fiber with a diameter of 0.9mm, and one end connects all the fiber grating strain sensors 17 and the signal transmission optical fiber 18 in series, and one end passes through the hollow part of the probe rod 8 and extends to The outside of the chassis shell 4 is connected with the fiber grating wireless demodulator 3 .

本实施例提供的上述一种基于光纤光栅的地基原位测试装置的使用方法,包括如下步骤:The method for using the above-mentioned fiber grating-based ground in-situ testing device provided in this embodiment includes the following steps:

1)清场、就位:清理并平整待测场地,装置底座5固定在待测地基上方,调整底座5水平,将信号传输光纤18连接至光纤光栅无线解调仪3,调试光纤信号,确保所有传感器工作正常。1) Clear the field and put it in place: clean and level the field to be tested, fix the device base 5 above the foundation to be tested, adjust the level of the base 5, connect the signal transmission fiber 18 to the fiber grating wireless demodulator 3, and debug the fiber signal to ensure that all The sensor is working fine.

2)贯入:压入主机12提供推力,将多功能探头1以大约20mm/s的速度垂直贯入至所要测试的地基深度。在贯入时,锥尖测头7测量出探头的锥尖阻力和温度变化。2) Penetration: Press into the host machine 12 to provide thrust, and vertically penetrate the multi-function probe 1 to the depth of the foundation to be tested at a speed of about 20mm/s. When penetrating, the cone-point probe 7 measures the cone-point resistance and temperature change of the probe.

3)剪切:用卡盘9将探杆8卡住,静置2~5分钟,Y字形板头6在步进电机10的作用下,以1°/10s的剪切速率在土层中缓慢旋转,直至Y字形板头6将周围土体完全剪破。Y字形板头6侧板16上的光纤光栅应变传感器17-1能够测量出剪切过程中侧板16的径向应变。3) Shearing: clamp the probe rod 8 with the chuck 9, and let it stand for 2 to 5 minutes. Rotate slowly until the Y-shaped plate head 6 completely cuts the surrounding soil. The fiber grating strain sensor 17-1 on the side plate 16 of the Y-shaped plate head 6 can measure the radial strain of the side plate 16 during the shearing process.

4)再贯入:完成一次试验后,静置数分钟,将多功能探头1下压到要试验的各个深度,重复步骤二和步骤三的操作。温度和应变数据均用解调设备和计算机实时采集、记录并上传至云端,并迅速传送到手机、电脑等客户端。4) Re-penetration: After completing a test, let it stand for a few minutes, press down the multi-function probe 1 to each depth to be tested, and repeat steps 2 and 3. The temperature and strain data are collected, recorded and uploaded to the cloud in real time with demodulation equipment and computers, and quickly transmitted to mobile phones, computers and other clients.

5)取出:试验完成后将探杆8缓慢从土中拔出,清理多功能探头1,以便下次试验继续使用。5) Take out: After the test is completed, slowly pull out the probe rod 8 from the soil, and clean the multi-function probe 1 for continued use in the next test.

本实施例中,所述的多功能探头1的温度变化由锥尖测头7内的光纤光栅温度传感器22测量得到,探头在贯入过程中,因为摩擦探头温度会升高,为了消除温度对光纤光栅应变传感器17结果的影响,在探头尖端的锥尖测头7中安装一个光纤光栅温度传感器22,用作温度补偿,同时根据探头温度的变化可以推算出贯入时受到的阻力大小。In the present embodiment, the temperature change of the multifunctional probe 1 is measured by the fiber grating temperature sensor 22 in the tapered probe 7. During the penetrating process of the probe, the temperature of the probe will increase due to friction. In order to eliminate the influence of temperature on the Influenced by the results of the fiber Bragg grating strain sensor 17, a fiber Bragg grating temperature sensor 22 is installed in the tapered probe 7 at the tip of the probe for temperature compensation, and the resistance during penetration can be calculated according to the temperature change of the probe.

本实施例中,所述的多功能探头1的锥尖阻力与弹性金属膜片中心的切向应变之间有如下关系:式中ps为锥尖阻力;ε为弹性金属膜片21中心的切向应变,由贴在上面的光纤光栅应变传感器17-2测得;E、h、v分别为弹性金属膜片21的弹性模量、厚度和泊松比。In this embodiment, there is the following relationship between the cone resistance of the multifunctional probe 1 and the tangential strain at the center of the elastic metal diaphragm: In the formula, p s is the resistance of the cone tip; ε is the tangential strain at the center of the elastic metal diaphragm 21, which is measured by the fiber grating strain sensor 17-2 attached to it; E, h, v are the elastic metal diaphragm 21 respectively Elastic modulus, thickness and Poisson's ratio.

本实施例中,Y字形板头6侧板16的径向应变经过理论公式推导得出地基土抗剪强度值。其原理是根据Y字形板头6侧板16上的弯矩M应等于锥形侧面上的抗剪力对轴心的抵抗力矩M和上端面的抗剪力对轴心的抵抗力矩M之和来求地基土的抗剪强度(附图3),即:M=M+M,其中锥形侧面的抵抗力矩为端面的抵抗力矩为Y字形板头6侧板16共三部分,其弯矩分别为M1、M2、M3,其中M2、M3由此类推,总弯矩于是,地基土抗剪强度为式中:τf为地基土抗剪强度,E为Y字形板头6侧板16的弹性模量;α为剪切时侧板16的轴向应变与径向应变的比值,通过标定试验确定;ε1、ε2、ε3分别为Y字形板头6各个侧板16上的径向应变;R、H分别为Y字形板头6的半径和高度。In this embodiment, the radial strain of the side plate 16 of the Y-shaped plate head 6 is deduced through a theoretical formula to obtain the value of the shear strength of the foundation soil. Its principle is that according to the bending moment M on the side plate 16 of the Y-shaped plate head 6, the plate should be equal to the resistance moment M of the shear force on the conical side to the axis center and the resistance moment M of the shear force on the side and the upper end surface to the axis center end sum to find the shear strength of foundation soil (accompanying drawing 3), that is: M plate =M side +M end , wherein the resistance moment of the tapered side is The resistive moment of the end face is Y-shaped plate head 6 side plate 16 consists of three parts, the bending moments of which are M 1 , M 2 , M 3 respectively, where M 2 , M 3 and so on, the total bending moment Therefore, the shear strength of the foundation soil is In the formula: τ f is the shear strength of the foundation soil, E is the elastic modulus of the side plate 16 of the Y-shaped plate head 6; α is the ratio of the axial strain to the radial strain of the side plate 16 during shearing, which is determined by the calibration test ; ε 1 , ε 2 , ε 3 are the radial strain on each side plate 16 of the Y-shaped plate head 6 respectively; R, H are the radius and height of the Y-shaped plate head 6 respectively.

需要说明的是,除上述实施例外,本发明专利还可以有其它实施方式。凡采用等同替换、等效变换和润饰改进形成的技术方案,均落在本发明专利要求的保护范围内。It should be noted that, in addition to the above-mentioned embodiments, the patent of the present invention may also have other implementation modes. All technical solutions formed by equivalent replacement, equivalent transformation and modification fall within the protection scope of the patent requirements of the present invention.

Claims (10)

1.一种基于光纤光栅用于地基原位测试的贯入剪切装置,其特征在于,包括多功能探头、迥转钻进装置、光纤光栅无线解调仪、机箱外壳和底座,多功能探头穿过底座贯入地基土体中,另一头连接迥转钻进装置再经由信号传输光纤与光纤光栅无线解调仪连接,迥转钻进装置外设机箱外壳,机箱外壳和底座连接;所述的多功能探头包括Y字形板头和锥尖测头,锥尖测头安装在Y字形板头的底端;所述的迥转钻进装置包括探杆、卡盘、步进电机、安装平台、压入主机和固定装置,所述的探杆自下而上贯穿整个迥转钻进装置,依次穿过卡盘、步进电机、安装平台和压入主机,探杆底部与多功能探头连接;迥转钻进装置通过固定装置安装在机箱外壳内壁;所述的底座下部设置滚轮和支座。1. A penetrating shearing device based on fiber gratings for foundation in-situ testing, characterized in that it includes a multifunctional probe, a rotary drilling device, a fiber grating wireless demodulator, a chassis shell and a base, and a multifunctional probe Penetrate through the base into the foundation soil, the other end is connected to the rotary drilling device and then connected to the fiber grating wireless demodulator via the signal transmission fiber, the rotary drilling device is equipped with a chassis shell, and the chassis shell is connected to the base; The multifunctional probe includes a Y-shaped plate head and a cone-point measuring head, and the cone-point measuring head is installed at the bottom of the Y-shaped plate head; the rotary drilling device includes a probe rod, a chuck, a stepping motor, and a mounting platform , press into the host and the fixing device, the probe rod runs through the entire rotary drilling device from bottom to top, passes through the chuck, stepping motor, installation platform and presses into the host in turn, and the bottom of the probe rod is connected with the multi-function probe ; The rotary drilling device is installed on the inner wall of the case shell through a fixing device; the lower part of the base is provided with rollers and supports. 2.根据权利要求1所述的一种基于光纤光栅用于地基原位测试的贯入剪切装置,其特征在于,所述的Y字形板头由三块夹角互为120°的三角形金属侧板组成,各金属侧板上都安装侧板光纤光栅应变传感器,侧板光纤光栅应变传感器通过信号传输光纤互相串联。2. A penetration shearing device based on fiber gratings for in-situ testing of foundations according to claim 1, wherein the Y-shaped plate head is composed of three triangular metal pieces with an angle of 120° to each other The metal side plates are composed of side plate fiber grating strain sensors, and the side plate fiber grating strain sensors are connected in series through signal transmission fibers. 3.根据权利要求1所述的一种基于光纤光栅用于地基原位测试的贯入剪切装置,其特征在于,所述的Y字形板头的侧板上刻有细槽,侧板光纤光栅应变传感器紧紧黏贴在细槽中间,表面覆盖一层环氧树脂。3. A penetrating shearing device for foundation in-situ testing based on fiber gratings according to claim 1, characterized in that, the side plate of the Y-shaped plate head is engraved with thin grooves, and the side plate optical fiber The grating strain sensor is tightly stuck in the middle of the slot, and the surface is covered with a layer of epoxy resin. 4.根据权利要求1所述的一种基于光纤光栅用于地基原位测试的贯入剪切装置,其特征在于,所述的锥尖测头由下往上依次设置锥尖头、传力柱、弹性金属膜片、锥尖头光纤光栅应变传感器和光纤光栅温度传感器;锥尖头光纤光栅应变传感器紧贴在弹性金属膜片上,通过信号传输光纤与光纤光栅温度传感器串联。4. A fiber grating-based penetrating shearing device for foundation in-situ testing according to claim 1, characterized in that, the cone-point measuring head is sequentially provided with cone-point, force-transmitting A column, an elastic metal diaphragm, an optical fiber grating strain sensor with a conical tip and an optical fiber grating temperature sensor; the optical fiber grating strain sensor with a conical tip is closely attached to the elastic metal diaphragm, and is connected in series with the optical fiber grating temperature sensor through a signal transmission optical fiber. 5.根据权利要求4所述的一种基于光纤光栅用于地基原位测试的贯入剪切装置,其特征在于,所述的弹性金属膜片为四周固定的等厚度圆形薄板。5 . The penetration shearing device for foundation in-situ testing based on fiber gratings according to claim 4 , wherein the elastic metal diaphragm is a circular thin plate of equal thickness fixed around. 6 . 6.根据权利要求1所述的一种基于光纤光栅用于地基原位测试的贯入剪切装置,其特征在于,所述的探杆为单个或多个串联,探杆侧边开有细缝,刚好允许信号传输光纤穿过细缝,并放置在探杆中空部分。6. A fiber grating-based penetrating shearing device for foundation in-situ testing according to claim 1, characterized in that, the probe rods are single or multiple in series, and the side of the probe rod is provided with a thin The slit just allows the signal transmission fiber to pass through the slit and place it in the hollow part of the probe rod. 7.使用权利要求1~6任一所述的一种基于光纤光栅用于地基原位测试的贯入剪切装置的方法,其特征在于,包括如下步骤:7. The method of using the fiber grating-based penetration shearing device for foundation in-situ testing according to any one of claims 1 to 6, characterized in that it comprises the following steps: 1)清场、就位:清理并平整待测场地,装置底座固定在待测地基上方,将信号传输光纤连接至光纤光栅无线解调仪;1) Clean up the site and put it in place: clean up and level the site to be tested, fix the base of the device above the foundation to be tested, and connect the signal transmission fiber to the fiber grating wireless demodulator; 2)贯入:压入主机提供推力,将多功能探头垂直贯入到所要测试的地基深度,测量多功能探头的锥尖阻力和温度变化;2) Penetration: Press into the host to provide thrust, vertically penetrate the multi-function probe to the depth of the foundation to be tested, and measure the cone tip resistance and temperature change of the multi-function probe; 3)剪切:用卡盘将探杆卡住,静置数分钟,多功能探头在步进电机作用下,以预先设置好的剪切速率在土层中缓慢旋转,直至将周围土体完全剪破,测量地基土抗剪强度;3) Shearing: Clamp the probe rod with a chuck and let it stand for a few minutes. Under the action of the stepping motor, the multi-function probe rotates slowly in the soil layer at a preset shear rate until the surrounding soil is completely Shearing, measuring the shear strength of foundation soil; 4)再贯入:完成一次测试后,静置数分钟,将多功能探头下压到要测试的各个深度,重复步骤2和步骤3的操作;4) Re-penetration: After completing a test, let it stand for a few minutes, press down the multi-function probe to each depth to be tested, and repeat steps 2 and 3; 5)取出:测试完成后将探杆缓慢从土中拔出,清理多功能探头,测试中所有数据均用光纤光栅无线解调仪实时采集、记录保存在本地和/或上传至云端。5) Take out: After the test is completed, slowly pull out the probe rod from the soil, and clean the multi-function probe. All data during the test are collected in real time with a fiber grating wireless demodulator, and the records are saved locally and/or uploaded to the cloud. 8.根据权利要求7所述的使用基于光纤光栅用于地基原位测试的贯入剪切装置的方法,其特征在于,步骤(2)所述的多功能探头温度由锥尖测头中的光纤光栅温度传感器测得,并用作光纤光栅应变传感器的温度补偿。8. use according to claim 7 is used for the method for the penetrating shear device of foundation in-situ test based on fiber grating, it is characterized in that, the multifunctional probe temperature described in step (2) is determined by the The FBG temperature sensor is measured and used as temperature compensation for the FBG strain sensor. 9.根据权利要求7所述的使用基于光纤光栅用于地基原位测试的贯入剪切装置的方法,其特征在于,步骤(2)所述的多功能探头的锥尖阻力经过理论公式推导得出:式中ps为锥尖阻力;ε为弹性金属膜片的切向应变,由贴在上面的锥尖头光纤光栅应变传感器测得;E、h、v分别为弹性金属膜片的弹性模量、厚度和泊松比。9. The method of using a fiber grating-based in-situ testing penetrating shearing device according to claim 7, characterized in that the cone tip resistance of the multifunctional probe described in step (2) is deduced through a theoretical formula inferred: In the formula, p s is the resistance of the cone tip; ε is the tangential strain of the elastic metal diaphragm, which is measured by the fiber grating strain sensor attached to the cone tip; E, h, v are the elastic modulus of the elastic metal diaphragm , thickness and Poisson's ratio. 10.根据权利要求7所述的使用基于光纤光栅用于地基原位测试的贯入剪切装置的方法,其特征在于,步骤(3)所述的地基土抗剪强度经过理论公式推导得出:式中:τf为地基土抗剪强度,E为Y字形板头侧板的弹性模量;α为剪切时侧板的轴向应变与径向应变的比值,通过标定试验确定;ε1、ε2、ε3分别为Y字形板头各个侧板上的径向应变,由贴在侧板上的侧板光纤光栅应变传感器测得;R、H分别为Y字形板头半径和高度。10. The method of using a fiber grating-based penetration shearing device for foundation in-situ testing according to claim 7, wherein the foundation soil shear strength described in step (3) is derived through theoretical formulas : In the formula: τ f is the shear strength of the foundation soil, E is the elastic modulus of the side plate of the Y-shaped plate head; α is the ratio of the axial strain to the radial strain of the side plate during shearing, which is determined by the calibration test; ε 1 . _
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