KR101896915B1 - Sensor for monitoring tendon force, and system for analyzing tendon force using the same - Google Patents
Sensor for monitoring tendon force, and system for analyzing tendon force using the same Download PDFInfo
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- KR101896915B1 KR101896915B1 KR1020160161523A KR20160161523A KR101896915B1 KR 101896915 B1 KR101896915 B1 KR 101896915B1 KR 1020160161523 A KR1020160161523 A KR 1020160161523A KR 20160161523 A KR20160161523 A KR 20160161523A KR 101896915 B1 KR101896915 B1 KR 101896915B1
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- coil
- eddy current
- tension
- magnetic field
- current sensor
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01N—INVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
- G01N3/00—Investigating strength properties of solid materials by application of mechanical stress
- G01N3/08—Investigating strength properties of solid materials by application of mechanical stress by applying steady tensile or compressive forces
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01R—MEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
- G01R33/00—Arrangements or instruments for measuring magnetic variables
-
- G—PHYSICS
- G01—MEASURING; TESTING
- G01R—MEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
- G01R33/00—Arrangements or instruments for measuring magnetic variables
- G01R33/0047—Housings or packaging of magnetic sensors ; Holders
Abstract
The eddy current sensor device includes a coil part and a casing. The coil unit includes an excitation coil for generating a first magnetic field, a second magnetic field generated by eddy current induced in the target structure by the first magnetic field, and a sensing coil for detecting an electric signal corresponding to a synthetic magnetic field of the first magnetic field . The casing accommodates the coil portion inside and surrounds the coil portion to block the outside. And a magnetic force part for holding and fixing the casing and the coil part to the target structure by being magnetically fixed inside the casing. An eddy current sensor is installed on the surface of at least one wedge that is press-fitted between the tendon and the anchor head to provide a varying stress on the basis of the tensile force so that the magnetic permeability changes according to the stress of the tendon. The tension monitoring unit provides an excitation signal to the eddy current sensor while using the electrical signal detected by the eddy current sensor to calculate information about the tension of the tension. If the calculated tension falls below the allowable threshold, a critical alarm is automatically issued. It is possible to provide driving power to the tensional force monitoring unit in a self-induction manner in the inspection vehicle and to collect the tensile tensional force information measured by the eddy current sensor from the tensional force monitoring unit.
Description
BACKGROUND OF THE
The post-tensioning (PT) method is a typical method widely used in the design of concrete bridges and high-rise buildings. It uses a tendon composed of tendon bundles to apply pre-stress to the structure Thereby increasing the strength of the structure. Tendon, which is used as a major member of this method, gradually relaxes its tension over time. Due to the relaxation of the strain on the structure, the safety of the structure may be threatened. To prevent this problem, it is necessary to develop a technology to precisely monitor the PT tensile tension and to prevent the damage of the structure due to the weakening of the tension.
Various studies have been conducted to accurately measure the tensile strength of the PT tendon mounted on the structure. Techniques utilizing electromagnetic sensors, fiber optic sensors, or elongation sensors have been proposed as typical techniques for monitoring the tension-reduction. The technique using the electromagnetic sensor is installed in such a manner that the tensile passes through the center of the cylindrical sensor. Generate a strong magnetic field to magnetize the tendon to secure sufficient measurement resolution. At this time, since a power of several hundred watts is required instantaneously to magnetize the tendon, it is large in size, and there is a limit in practicability for use in a practical civil structure construction site. The technique using the optical fiber sensor is applied to the construction of a new type of tendon in which the optical fiber is inserted. Fiber optic sensors are a very expensive sensor, requiring a fairly long fiber to build bridges from several to several tens of kilometers, and cost a lot of initial installation costs. In the method using the elongation sensor, the elongation sensor is attached to the anchor head as a whole, and the tension of the tender is indirectly measured using the elongation state of the anchor head. There is a disadvantage in that it can be monitored for extreme load changes such as tendon cutting rather than tensing tension monitoring of the tendon. In addition, although the price per unit of the elongation sensor is small, the number of sensors required for the multi-tenant measurement is large, so care must be taken in the management and monitoring data processing.
It is an object of the present invention to solve the above problems and to provide a method of monitoring the degree of strain relief of a PT tendon by measuring a change in the magnitude of the eddy current by inducing an eddy current on the wedge of the PT tendon fusing unit. And it is an object of the present invention to provide an eddy current sensor device capable of increasing measurement accuracy by blocking the influence of an external magnetic field.
Another object of the present invention is to provide a system for diagnosing tensile force of a tendon of a structure capable of automatically alarming when the magnitude of the tension is below an allowable threshold by monitoring the tension of the tendon using the eddy current sensor device.
It is still another object of the present invention to provide a method and apparatus for measuring the tension of a tendon by using the eddy current sensor device and providing and collecting information on the power required for driving the eddy current sensor device and the tension force measured by the eddy current sensor device The present invention relates to a system for diagnosing a tension of a tendon.
In order to accomplish one aspect of the present invention, an eddy current sensor device according to embodiments of the present invention includes a coil portion and a casing. The coil unit includes an excitation coil for generating a first magnetic field, a second magnetic field generated by the eddy current induced in the target structure by the first magnetic field, and a second magnetic field for sensing an electric signal corresponding to a synthetic magnetic field of the first magnetic field. Coil. The casing surrounds and encloses the coil portion, and is made of a material having a magnetic shielding ability, thereby blocking a magnetic field from entering the coil portion from the outside.
In the exemplary embodiment, the eddy current sensor device may further include a magnetic force part for receiving and fixing the casing and the coil part to the target structure by magnetic force while improving the sensitivity of the eddy current sensor. .
In an exemplary embodiment, the coil unit may be such that the sensing coil is inserted into the excitation coil so that the sensing coil and the excitation coil form a double cylindrical shape.
In the exemplary embodiment, the eddy current sensor device may further include a coil case surrounding the exciting coil and the sensing coil, and having connectors connected to the exciting coil and the sensing coil, respectively.
In an exemplary embodiment, the coil unit may be a form in which the sensing coil and the exciting coil are arranged in a two-layer structure via a flexible printed circuit board (FPCB) having a predetermined shape.
In an exemplary embodiment, the coil portion includes a plurality of FPCB type coil portions, and a flexible connecting member disposed between the plurality of FPCB type coil portions and connecting the plurality of FPCB type coil portions to form a closed loop The FPCB type coil unit may have a structure in which the sensing coil and the excitation coil are arranged in a two-layer structure via a flexible printed circuit board (FPCB) having a predetermined shape.
In the exemplary embodiment, the eddy current sensor device may further include a magnetic force part for receiving and fixing the casing and the coil part to the target structure by magnetic force while improving the sensitivity of the eddy current sensor. .
In the exemplary embodiment, a plurality of the coil portions may be provided, and the magnetic force portions may be plural as the coil portions, and one magnetic portion may be provided for each coil portion. Further, the eddy current sensor device further includes a plurality of elastic members for fixing the plurality of magnetic force portions to the inside of the casing, providing elastic forces to the respective permanent magnets, and pushing the respective coil portions toward the target structure so as to fix them .
In order to achieve the above object, according to the present invention, there is provided a system for diagnosing a tensile force of a tendon, comprising: a force sensor for detecting a tensile force of a tendon for providing a varying stress based on a tensile force, For monitoring through at least one wedge in which the magnetic permeability varies according to the stress of the tensen. The tendon tension diagnostic system includes an eddy current sensor and a tension monitor. Wherein the eddy current sensor comprises: an excitation coil installed on a surface of the at least one wedge for generating a first magnetic field based on an excitation signal; and an eddy current generator for generating an eddy current induced in the at least one wedge by the first magnetic field. A coil part including a sensing coil for detecting an electric signal corresponding to a second magnetic field and a synthetic magnetic field of the first magnetic field; And a casing enclosing the coil part and enclosing the coil part, the casing being made of a material having a magnetic shielding ability and blocking a magnetic field from being introduced into the coil part from the outside. The tensional force monitoring unit provides the excitation signal to the eddy current sensor, and calculates information on the tension of the tendon using the electric signal detected by the eddy current sensor.
In an exemplary embodiment, the tensional force monitoring unit comprises: (i) measuring the n electrical signals through the eddy current sensor at an initial tension condition to calculate a first variance value ( 0 ); (ii) ( I ) calculating the second variance value ( 1 ) by performing the same measurement of the electric signal n times through the eddy current sensor even when the tension of the tendon is changed according to the elapse of time, (iii) σ 0 ) and the second variance value (σ 1 ), and (iv) if the calculated damage index exceeds the allowable threshold value, an algorithm that automatically generates a risk alarm is implemented. And to perform the program.
In an exemplary embodiment, the tensile stress diagnostic system may include a casing for holding and fixing the casing and the coil portion to the surface of the at least one wedge, and a magnetic force And the like.
In an exemplary embodiment, the tensional force monitoring unit includes: a waveform generator that provides the excitation signal having a predetermined frequency based on a transmission control signal; A digitizer for digitizing an electrical signal corresponding to the second magnetic field to provide a digital electrical signal; And a control unit for providing the transmission control signal to the waveform generator and receiving the digital electric signal from the digitizer to calculate the tension of the tendon.
In an exemplary embodiment, the controller may include a function of issuing a critical alarm if the magnitude of the calculated tractive force falls below an allowable threshold value.
In an exemplary embodiment, the control unit may provide a receive control signal to the digitizer to receive the digital electrical signal to enable use of the transmit control signal and the receive control signal for synchronization between the waveform generator and the digitizer. have.
In an exemplary embodiment, the number of the predetermined frequencies may be plural.
In an exemplary embodiment, the tensional force monitoring unit compares a first digital electric signal obtained during a first time interval of the digital electric signal and a second digital electric signal obtained during a second time interval of the digital electric signal, It may be to determine the damage index of the tendon.
In an exemplary embodiment, the tendon tension diagnostic system may include a primary coil installed in the movable body, a coil installed in the structure in which the eddy current sensor is installed, coupled with the primary coil in a magnetic induction manner, A power and data wireless transmitter including a secondary coil; And a power monitoring unit which is provided on the movable body and is connected to the primary coil to provide power required for driving the eddy current sensor and the tensional force monitoring unit through a power and data wireless transmission unit in a magnetic induction manner, And a wireless transmission and data receiving unit for collecting information on the tension of the
In an exemplary embodiment, the movable body is a vehicle, and the structure may be at least one of a road and a bridge that the vehicle can carry.
The tensing tension monitoring system according to the embodiments of the present invention uses the magnetic force to attach the eddy current sensor to the wedge surface, so that the installation method is very simple. In addition, the eddy current can be efficiently generated on the surface of the wedge by the magnetic force part that provides the magnetic force, thereby improving the sensitivity of the sensor.
By covering the coil part of the eddy current sensor by using a casing having a superior magnetic shielding function, it is possible not only to improve the sensor precision by blocking external magnetic factors, but also to securely protect the coil part from the outside.
In addition, the present invention has an advantage that safety management of a structure can be facilitated by automatically generating a danger warning when the tensile force of the tendon falls below an allowable critical point.
Since the present invention can wirelessly supply driving power to the eddy current sensor and data collection from the eddy current sensor by a magnetic induction method using an inspection vehicle, it is possible to simplify the tensing tension monitoring system and reduce the initial cost In addition, the maintenance cost of the system can be reduced, and the advantage of easy data collection is also provided.
1 is an exploded perspective view showing a configuration of a cylindrical eddy current sensor according to an embodiment of the present invention.
Fig. 2 (a) is a plan sectional view of a coil portion of a cylindrical eddy-current sensor according to an embodiment of the present invention, and Fig. 2 (b) is a sectional view taken along a cutting line A-A '.
3 shows a state in which a cylindrical eddy current sensor according to an embodiment of the present invention is installed on a wedge surface of an anchor head.
4 is a cross-sectional view taken along line B-B 'in Fig.
5 is a block diagram showing a configuration of a system for monitoring a tension force of a PT tendon using a cylindrical eddy current sensor according to an embodiment of the present invention.
6 is a flowchart illustrating a procedure for measuring a tension force of a PT tendon tension monitoring system according to embodiments of the present invention.
7 (a) and 7 (b) are views for explaining the damage index of the tendency calculated by the tendon tension monitoring system shown in FIG.
FIG. 8 is a flowchart illustrating an algorithm for calculating a damage index through processing of tensions monitoring data of a PT tendon measured in a PT tendon tension monitoring system according to an exemplary embodiment of the present invention, and automatically alerting the risk of mitigation of the tension.
9 shows an example of eddy current graph measured under the initial tension condition.
10 shows an example of the eddy current graph measured under the changed tension condition.
11 shows an example of a graph for performing hypothesis verification using the difference between the initial tension and the changed tension.
12 shows an example of a graph for automatically determining whether the PT tension tendency is lowered by on-line monitoring based on the damage index.
13 shows a coil arrangement of an FPCB eddy current sensor according to another embodiment of the present invention.
14 is a sectional view of the FPCB type eddy current sensor according to the embodiment of the present invention installed on the wedge surface of the anchor head.
15 is a plan view of a coil part for an FPCB eddy current sensor in which three FPCB eddy current sensors shown in FIG. 13 are connected in the form of a circular closed loop through a flexible connecting member according to an embodiment of the present invention.
16 shows a schematic diagram of a wireless sensor node system for tendon tension monitoring employing an eddy current sensor according to an embodiment of the present invention.
FIG. 17 is a flowchart illustrating wireless acquisition of data detected by a sensor node and wireless power supply to a sensor node using the wireless sensor node system for tensing tension monitoring shown in FIG. 16;
For the embodiments of the invention disclosed herein, specific structural and functional descriptions are set forth for the purpose of describing an embodiment of the invention only, and it is to be understood that the embodiments of the invention may be practiced in various forms, The present invention should not be construed as limited to the embodiments described in Figs.
The present invention is capable of various modifications and various forms, and specific embodiments are illustrated in the drawings and described in detail in the text. It is to be understood, however, that the invention is not intended to be limited to the particular forms disclosed, but on the contrary, is intended to cover all modifications, equivalents, and alternatives falling within the spirit and scope of the invention.
The terms first, second, etc. may be used to describe various components, but the components should not be limited by the terms. The terms may be used for the purpose of distinguishing one component from another. For example, without departing from the scope of the present invention, the first component may be referred to as a second component, and similarly, the second component may also be referred to as a first component.
It is to be understood that when an element is referred to as being "connected" or "connected" to another element, it may be directly connected or connected to the other element, . On the other hand, when an element is referred to as being "directly connected" or "directly connected" to another element, it should be understood that there are no other elements in between. Other expressions that describe the relationship between components, such as "between" and "between" or "neighboring to" and "directly adjacent to" should be interpreted as well.
The terminology used herein is for the purpose of describing particular embodiments only and is not intended to be limiting of the invention. The singular expressions include plural expressions unless the context clearly dictates otherwise. In the present application, the terms "comprise", "having", and the like are intended to specify the presence of stated features, integers, steps, operations, elements, components, or combinations thereof, , Steps, operations, components, parts, or combinations thereof, as a matter of principle.
Unless otherwise defined, all terms used herein, including technical or scientific terms, have the same meaning as commonly understood by one of ordinary skill in the art to which this invention belongs. Terms such as those defined in commonly used dictionaries should be construed as meaning consistent with meaning in the context of the relevant art and are not to be construed as ideal or overly formal in meaning unless expressly defined in the present application .
Hereinafter, preferred embodiments of the present invention will be described in detail with reference to the accompanying drawings. The same reference numerals are used for the same constituent elements in the drawings and redundant explanations for the same constituent elements are omitted.
1 is an exploded perspective view showing a configuration of a cylindrical
Referring to FIGS. 1 and 2, the cylindrical
According to the embodiment, the cylindrical
An adhesive may be used to fix the
According to the embodiment, the cylindrical
The
3 and 4, the
The cylindrical
5 is a block diagram illustrating the configuration of a
5, the tensing
FIG. 6 is a flowchart illustrating a procedure for measuring the tensions of the tensional
1 to 6, the
The
An eddy current EC is induced on the surface of the
Specifically, the magnetic field of the
The
The
The tensing
The
When a tensile force is applied to the
In the exemplary embodiment, as the magnetic permeability of the
In an exemplary embodiment, the intensity of the second magnetic field B2 may vary based on the intensity of the eddy current EC that occurs on the surface of the
Next, FIG. 7 is a diagram for explaining the damage index of the
In an exemplary embodiment, the tendon
As time passes, the tensile force (TF) of the
In an exemplary embodiment, the tensile
The principle of calculating such a damage index can be actually applied to automatically alert the user of the risk when the tension of the
It is possible to automatically determine the decrease in the tension of the
First, signal measurement is performed n times at an initial (t = 0) tensional force condition (S200). 9 shows an example of a graph of an eddy current graph measured n times at an initial (t = 0) tensional force condition, that is, a tension signal (i.e., a digital electric signal) of the
The variance value? 0 is calculated for n initial measurement signals, i.e., n initial digital electrical signals DVS, obtained through n signal measurements performed in step S200 (S210). The variance value ( 0 ) of the n initial digital electrical signals (DVS) can be calculated using Equation (1).
here,
Is a variance value of n digital electrical signals (DVS) under an initial load (tension) condition, Under the same load conditions, Under the initial load (X) condition The second measurement data (digital electrical signal), and Represents the average value of the measurement data (digital electric signal) under the initial load (X) condition.Next, at step S220, the tension force of the
Then, the average value of the measurement data at the initial tension condition is used to calculate a variance value for n measurement signals, i.e., n digital electric signals DVS obtained through n signal measurements performed at time t = T1 (S230). The variance value ( 1 ) of n digital electric signals (DVS) at time t = T1 can be calculated using Equation (2). At time t = T1, n digital electrical signals (DVS) represent the tension of the
here,
Is a variance value of n digital electric signals (DVS) under the load (tension) condition at time t = T1, Under the same load conditions, (T) under the changed load (tension) (Y) condition The second measurement data (digital electric signal), Represents the average value of the measurement data (digital electric signal) under the initial load (X) condition.Next, the n digital electric signals (n) obtained from the initial dispersion value ( 0 ) of the n digital electric signals (DVS) obtained at the initial or time t = 0 and the changed load (tension force) The damage index DI 1 is calculated based on the variance value? 1 of the DVSs (S240).
11 illustrates a graph for performing hypothesis verification using the difference between the initial tension and the changed tension. 12 shows an example of a graph for automatically determining whether the PT tension tendency is lowered by on-line monitoring based on the damage index. Referring to these two figures, if the change in the tension of the
here
Represents the damage index (DI 1 ). Once the damage index (DI 1 ) is calculated, the degree of strain relief of theWhen a situation in which the damage index (DI 1) calculated in step S250 exceeds a preset threshold value occurs, this means that the safety risk for the
If it is determined that the damage index (DI 1) calculated in step S250 is not greater than a preset threshold value, and performs steps from which the predetermined time elapses (t = T2) one hours S220, repeat S230, S240. That is, at time t = T2, the digital electrical signal DVC indicating the tension of the
Next, Fig. 13 shows a coil arrangement of a flexible printed circuit board (FPCB) type
The FPCB
The FPCB
The FPCB
The configuration and role of the
Each of the
The FPCB type
A plurality of wedges may be inserted into the wedge insertion holes 372 between the
Referring to FIG. 14, a plurality of
5, the FPCB
On the other hand, in the cylindrical
According to an exemplary embodiment, the plurality of FPCB
Since the plurality of
The circular
Next, a wireless sensor node system for monitoring the tendency of the tensile force reduction according to the present invention will be described. In the case of the PT tendon system, it is mostly buried in concrete, and the fusing part is not easily accessible. Therefore, the sensors and sensor nodes installed in the fusing unit are subjected to the monitoring of the tensions in the state embedded in the concrete. As a method of supplying power to a sensor node, a battery is used or a power is supplied by a wired line. In data acquisition, a sensor node is directly accessed or a wired data transmission method is used. When power and data are transferred using existing methods, problems such as battery replacement and maintenance of power / data wired system occur, which increases the maintenance cost of the sensor.
In order to solve this problem, a concrete wireless power and data transmission technology is required and a system capable of power transmission and data reception at the upper part of the concrete deck is required without directly accessing the sensor node during power supply and data acquisition of the sensor node . As an example of this system, FIG. 16 shows a schematic diagram of a wireless
Referring to FIG. 16, the
In particular, the wireless
The power and data
The wireless transmission and
The radio receiving and
FIG. 17 is a flowchart illustrating wireless power transmission to a
More specifically, power is supplied to the
The
The
The magnetic field in the
The measured signal is digitized, and the tension force is calculated by applying the tension-reduction automatic alarm algorithm described above based on the digital measurement data (S340).
The calculated tension force data of the
Through the above process, the measurement data collected by the
In the wireless power transmission system, the lower the coupling coefficient, the larger the circulating current that is not transmitted from the
The structure diagnosis system according to embodiments of the present invention can improve the performance by generating an eddy current in the target structure according to the first magnetic field generated from the sensor and providing a second magnetic field generated based on the eddy current to the sensor, And can be applied to a structure diagnosis apparatus.
While the present invention has been described with reference to the preferred embodiments thereof, it will be apparent to those skilled in the art that various modifications and variations can be made in the present invention without departing from the spirit and scope of the invention as defined in the appended claims. It will be understood.
100: Tension tension monitoring system 150: Waveform generator
200: Cylindrical eddy current sensor 210: coil part
220, 1220:
250, 250a, 250b:
260: Outer casing 310: Tendon
330, 330a, 330b: Wedge 370: Anchor head
400: digitizer 500: control unit
600: Wireless Sensor Node System for Tension Tension Monitoring
620: Radio transmission and data reception unit 650: Power and data radio transmission unit
660: Radio receiver and data provider 664: Sensor battery
670: Sensor node 1200: FPCB type eddy current sensor
1250: Elastic connecting member 1300: Circular FPCB type eddy current sensor
Claims (15)
An excitation coil provided on a surface of the at least one wedge for generating a first magnetic field based on an excitation signal applied thereto and a second magnetic field generated by the eddy current induced in the at least one wedge by the first magnetic field, And a sensing coil for detecting an electric signal corresponding to a composite magnetic field of the first magnetic field, wherein a direction of the first magnetic field passing through the sensing coil and a direction of the second magnetic field are opposite to each other; And a casing enclosing the coil portion and enclosing the coil portion, the casing being made of a material having a magnetic shielding ability and preventing a magnetic field from flowing into the coil portion from the outside; And
And a tension monitoring unit for providing the excitation signal to the exciting coil and calculating information on the tension of the tension using the electric signal detected by the sensing coil.
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KR1020160161523A KR101896915B1 (en) | 2016-11-30 | 2016-11-30 | Sensor for monitoring tendon force, and system for analyzing tendon force using the same |
PCT/KR2017/012513 WO2018101626A1 (en) | 2016-11-30 | 2017-11-07 | Sensor for monitoring tendon tensile strength and tendon tensile strength diagnosis system using same |
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KR1020160161523A KR101896915B1 (en) | 2016-11-30 | 2016-11-30 | Sensor for monitoring tendon force, and system for analyzing tendon force using the same |
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JP2001108658A (en) * | 1999-10-05 | 2001-04-20 | Kyosan Electric Mfg Co Ltd | Wire rope flaw detector |
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JPH05281063A (en) * | 1992-04-02 | 1993-10-29 | Nippon Steel Corp | Measuring device for tension of steel material |
JPH0674838A (en) * | 1992-08-31 | 1994-03-18 | Mitsubishi Electric Corp | Strain detecting device, and shield and passive shaft for same |
JPH0933488A (en) * | 1995-07-20 | 1997-02-07 | Daido Steel Co Ltd | Eddy current flaw detection probe and manufacture thereof |
JPH0972801A (en) * | 1995-09-01 | 1997-03-18 | Mitsubishi Denki Bill Techno Service Kk | Tension measuring apparatus for rope |
JP6193077B2 (en) * | 2012-10-30 | 2017-09-06 | 東京製綱株式会社 | Wire rope inspection equipment |
KR101543368B1 (en) * | 2013-12-12 | 2015-08-11 | 한국건설기술연구원 | Hybrid sensor for structure and condition diagnosis system using it |
KR101724511B1 (en) * | 2015-08-11 | 2017-04-07 | 한국과학기술원 | Structure diagnosis system and method of operating structure diagnosis system |
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JP2001108658A (en) * | 1999-10-05 | 2001-04-20 | Kyosan Electric Mfg Co Ltd | Wire rope flaw detector |
Non-Patent Citations (2)
Title |
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Ji-Min Kim et al, Automatic measurement and warning of tension force reduction in a PT tendon using eddy current sensing, NDT&E Int.87, 2017, pp93-99 |
김병화 외, 부착식 PSC 텐던의 종진동 메카니즘, 대한토목학회논문집 제31권제3A호, 대한토목학회, 2011.05. pp261-267 |
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