JP2021147825A - Measurement method, measurement apparatus, measurement system, and measurement program - Google Patents

Abstract

To provide a measurement method for calculating an index to be used in determining a failure of a measurement system or a defect of a structure where a moving body moves.SOLUTION: A measurement method includes: a step S2 of acquiring physical quantities in first to M-th observation points arranged along a second direction which intersects with a first direction in which a moving body moves on a structure, on the basis of observation information obtained by an observation apparatus; a step S3 of selecting multiple sets of N physical quantities out of the acquired physical quantities in the first to M-th observation points, wherein the physical quantity in the i-th observation point is equal to the sum of values of functions yi1 to yiM when yij is a function indicating correlation between an action xj in the j-th observation point and an action to be applied in the i-th observation point by the action xj, and calculating actions in each of N observation points associated with first to N-th paths of the structure on the basis of each of the multiple sets of N physical quantities; and a step S4 of calculating statistics of the actions for each of the N observation points.SELECTED DRAWING: Figure 12

Description

The present invention relates to a measuring method, a measuring device, a measuring system and a measuring program.

In Patent Document 1, the axle load of a large vehicle passing through a bridge is important information for predicting damage to the bridge in maintaining the bridge, and the main body of the bridge is used to measure the axle load. Weight In Motion, a method for continuously measuring the strain value when the vehicle passes from a strain gauge installed on the girder and calculating the axle load, has been proposed, and is based on the strain waveform measured by the strain gauge placed on the main girder of the bridge. A bridge-passing vehicle monitoring system that measures the vehicle weight of a vehicle passing through a bridge is described. Specifically, the bridge-passing vehicle monitoring system arranges a strain gauge, detects the passage timing of the axle from the strain waveform measured by the strain gauge, calculates the axle-to-axle ratio of the vehicle, and calculates the axle-to-axle ratio and shaft. The inter-axle distance, vehicle speed, and vehicle type of the vehicle are specified by comparing with the inter-axle ratio calculated from the inter-axle distance registered in the inter-axle distance database. In addition, the bridge passing vehicle monitoring system generates a strain waveform in which the reference axis heavy strain waveform is arranged on the time axis according to the passage timing of the axle, and the reference axis heavy strain waveform and the strain waveform measured by the strain gauge are combined. Calculate the axial weight of each axis by comparison. Then, the bridge passing vehicle monitoring system calculates the vehicle weight by summing the axle loads of each shaft.

JP-A-2009-237805

However, although the system described in Patent Document 1 can measure the vehicle weight of a vehicle, it can be used to determine an abnormality of the system or an abnormality of a structure such as a bridge to which a moving body such as a vehicle moves. The index cannot be calculated.

One aspect of the measurement method according to the present invention is
For an integer N of 2 or more and an integer M larger than the integer N, the moving body is arranged along a second direction intersecting the first direction in which the moving body travels in any of the first to Nth paths of the structure. A physical quantity acquisition step of acquiring the physical quantity of the first to Mth observation points based on the observation information by at least one observation device for observing the first to Mth observation points of the structure.
For one or more M or less arbitrary integer i and 1 to M any integer j, the effect x _j of the observation point of the first j, and action of the working x _j is on the observation point of the i-th Assuming that the physical quantity of the i-th observation point acquired in the physical quantity acquisition step is equal to the sum of the values of the _{functions y i1 to y iM} , when the function showing the correlation of is y _{ij, the physical quantity acquisition step} A plurality of sets of N physical quantities among the acquired physical quantities of the first to M observation points are selected, and based on each of the N physical quantities of the plurality of sets, the first to Mth. An action calculation step for calculating a plurality of actions of each of the N observation points associated with the first to Nth paths among the observation points, and an action calculation step.
For each of the N observation points, a statistical value calculation step for calculating a plurality of statistical values of the action calculated in the action calculation step is included.

One aspect of the measurement method is
An abnormality determination step for determining an abnormality may be included based on the statistical value calculated for each of the N observation points in the statistical value calculation step.

In one aspect of the measurement method
The statistical value may be a maximum likelihood value, a variance, or an intermediate value.

One aspect of the measurement method is
Obtain the physical quantity of the first to third observation points when a known moving body different from the moving body moves the structure alone, and based on the physical quantity of the first to M observation points. The coefficient value calculation step for calculating the coefficient value of the function y _{ij may be included.}

In one aspect of the measurement method
The function y _ij may be a polynomial function of the action x _j.

In one aspect of the measurement method
The physical quantity of the first to Mth observation points acquired in the physical quantity acquisition step may be a displacement or a load due to the moving body.

In one aspect of the measurement method
The observation device may be an acceleration sensor.

In one aspect of the measurement method
The observation device may be a contact type displacement meter, a ring type displacement meter, a laser displacement meter, a pressure sensitive sensor, a displacement measuring device by image processing, or a displacement measuring device by an optical fiber.

In one aspect of the measurement method
The physical quantity of the first to Mth observation points acquired in the physical quantity acquisition step may be the physical quantity in the third direction intersecting the first direction and the second direction, respectively.

In one aspect of the measurement method
The moving vehicle may be a railroad vehicle, an automobile, a tram, a construction vehicle, or a military vehicle.

In one aspect of the measurement method
The structure is a superstructure of a bridge and
The superstructure is a structure passed to any one of adjacent abutments and piers, two adjacent abutments, or two adjacent piers.
Both ends of the superstructure are located at the positions of the adjacent abutments and piers, the positions of the two adjacent abutments, or the positions of the two adjacent piers.
The bridge may be a road bridge or a railway bridge.

In one aspect of the measurement method
The structure may be a structure in which BWIM (Bridge Weigh in Motion) functions.

One aspect of the measuring device according to the present invention is
For an integer N of 2 or more and an integer M larger than the integer N, the moving body is arranged along a second direction intersecting the first direction in which the moving body travels in any of the first to Nth paths of the structure. A physical quantity acquisition unit that acquires the physical quantity of the first to Mth observation points based on the observation information by at least one observation device that observes the first to Mth observation points of the structure.
For one or more M or less arbitrary integer i and 1 to M any integer j, the effect x _j of the observation point of the first j, and action of the working x _j is on the observation point of the i-th when the function indicating the correlation of the y _ij, the physical quantity of the observation point of the i-th said physical quantity acquisition unit has acquired, as equal to the sum of the values of the function y _i1 ~y _iM, said physical quantity obtaining unit A plurality of sets of N physical quantities among the acquired physical quantities of the first to M observation points are selected, and based on each of the N physical quantities of the plurality of sets, the first to Mth. An action calculation unit that calculates a plurality of actions of each of the N observation points associated with the first to Nth paths among the observation points, and an action calculation unit.
For each of the N observation points, a statistical value calculation unit for calculating a plurality of statistical values of the action calculated by the action calculation unit is included.

One aspect of the measurement system according to the present invention is
One aspect of the measuring device and
The observation device is provided.

One aspect of the measurement program according to the present invention is
For an integer N of 2 or more and an integer M larger than the integer N, the moving body is arranged along a second direction intersecting the first direction in which the moving body travels in any of the first to Nth paths of the structure. A physical quantity acquisition step of acquiring the physical quantity of the first to Mth observation points based on the observation information by at least one observation device for observing the first to Mth observation points of the structure.
For one or more M or less arbitrary integer i and 1 to M any integer j, the effect x _j of the observation point of the first j, and action of the working x _j is on the observation point of the i-th Assuming that the physical quantity of the i-th observation point acquired in the physical quantity acquisition step is equal to the sum of the values of the _{functions y i1 to y iM} , when the function showing the correlation of is y _{ij, the physical quantity acquisition step} A plurality of sets of N physical quantities among the acquired physical quantities of the first to M observation points are selected, and based on each of the N physical quantities of the plurality of sets, the first to Mth. An action calculation step for calculating a plurality of actions of each of the N observation points associated with the first to Nth paths among the observation points, and an action calculation step.
For each of the N observation points, a computer is made to execute a statistical value calculation step for calculating a plurality of statistical values of the action calculated in the action calculation step.

The figure which shows the configuration example of the measurement system. The figure which shows the arrangement example of a sensor and an observation point. The figure which shows the arrangement example of a sensor and an observation point. Explanatory drawing of acceleration detected by an accelerometer. The figure which shows the arrangement example of a sensor and an observation point. The figure which shows the arrangement example of a sensor and an observation point. The figure which shows an example of the acceleration detected by each sensor. Shows an example of correlation between effect of acting x ₁ and operation x ₁ observation point R ₁ is on the observation point R _2. The figure which shows an example of the displacement of an observation point when a vehicle travels alone. The figure which shows an example of the displacement of the observation point calculated from the action with respect to FIG. The figure which shows an example of the maximum likelihood value by the average of a plurality of actions and a plurality of actions. The flowchart which shows an example of the procedure of the measurement method of 1st Embodiment. The flowchart which shows an example of the procedure of the coefficient value calculation step. The flowchart which shows an example of the procedure of a statistical value calculation step. The flowchart which shows an example of the procedure of an abnormality determination step. The figure which shows the structural example of the measuring apparatus. The flowchart which shows an example of the procedure of the measurement method of 2nd Embodiment.

Hereinafter, preferred embodiments of the present invention will be described in detail with reference to the drawings. The embodiments described below do not unreasonably limit the content of the present invention described in the claims. Moreover, not all of the configurations described below are essential constituent requirements of the present invention.

1. 1. First Embodiment 1-1. Measurement system In the following, a measurement system for realizing the measurement method of the present embodiment will be described by taking as an example a case where the structure is the superstructure of a bridge and the moving body is a vehicle. The vehicle passing through the bridge according to the present embodiment is a vehicle having a large weight such as a railroad vehicle, an automobile, a tram, a construction vehicle, or a military vehicle, and can be measured by BWIM (Bridge Weigh in Motion). BWIM is a technology for measuring the weight, number of axes, etc. of a vehicle passing through a bridge by measuring the deformation of the bridge by using the bridge as a "scale". The bridge superstructure, which can analyze the weight of vehicles passing by from responses such as deformation and strain, is the structure on which BWIM functions and applies the physical process between the action and response of the bridge superstructure. The BWIM system enables the measurement of the weight of vehicles passing by.

FIG. 1 is a diagram showing an example of a measurement system according to the present embodiment. As shown in FIG. 1, the measurement system 10 according to the present embodiment includes a measurement device 1 and a plurality of sensors 23 provided in the superstructure 7 of the bridge 5. Further, the measurement system 10 may have a server 2.

The bridge 5 includes an upper structure 7 and a lower structure 8, and the upper structure 7 includes a bridge floor 7a composed of a floor plate F, a main girder G, a horizontal girder (not shown), and a bearing 7b. The substructure 8 includes a pier 8a and an abutment 8b. The superstructure 7 is a structure passed to any one of an adjacent abutment 8b and a pier 8a, two adjacent abutments 8b, or two adjacent abutments 8a. Both ends of the superstructure 7 are located at the positions of the adjacent abutments 8b and the piers 8a, the positions of the two adjacent abutments 8b, or the positions of the two adjacent abutments 8a.

The measuring device 1 and each sensor 23 are connected by, for example, a cable (not shown) and communicate with each other via a communication network such as CAN (Controller Area Network). Alternatively, the measuring device 1 and each sensor 23 may communicate with each other via a wireless network.

For example, each sensor 23 outputs data for calculating the displacement of the superstructure 7 due to the movement of the moving vehicle 6. In the present embodiment, each sensor 23 is an acceleration sensor, and may be, for example, a crystal acceleration sensor or a MEMS (Micro Electro Mechanical Systems) acceleration sensor.

In the present embodiment, each sensor 23 is installed at the central portion of the superstructure 7 in the longitudinal direction. However, each sensor 23 only needs to be able to detect the acceleration for calculating the displacement of the superstructure 7, and its installation position is not limited to the central portion of the superstructure 7.

The floor plate F, main girder G, and the like of the superstructure 7 are bent downward in the vertical direction by the load of the vehicle 6 traveling on the superstructure 7. Each sensor 23 detects the acceleration of the deflection of the floor plate F and the main girder G due to the load of the vehicle 6 traveling on the superstructure 7.

The measuring device 1 calculates the displacement of the deflection of the superstructure 7 due to the traveling of the vehicle 6 based on the acceleration data output from each sensor 23. Further, the measuring device 1 calculates the load of the vehicle 6 traveling on the superstructure 7 from the calculated displacement.

The measuring device 1 and the server 2 can communicate with each other via, for example, a wireless network of a mobile phone and a communication network 4 such as the Internet. The measuring device 1 transmits information such as the time when the vehicle 6 travels on the superstructure 7 and the displacement of the superstructure 7 due to the traveling of the vehicle 6 to the server 2. The server 2 may store the information in a storage device (not shown), and may perform processing such as monitoring an overloaded vehicle or determining an abnormality in the superstructure 7 based on the information.

In the present embodiment, the bridge 5 is a road bridge, for example, a steel bridge, a girder bridge, an RC (Reinforced-Concrete) bridge, or the like.

2 and 3 are views showing an example of installation of each sensor 23 in the superstructure 7. Note that FIG. 2 is a view of the superstructure 7 viewed from above, and FIG. 3 is a cross-sectional view of FIG. 2 cut along the line AA.

As shown in FIGS. 2 and 3, the superstructure 7, N-number of lanes L ₁ ~L N as first through path of the first N of the vehicle 6 is moving body can _move, and the K main girder It has G _{1 to} G _K. Here, N is an integer of 2 or more, and K is an integer of 1 or more. In the example of FIG. 2 and FIG. 3, the position of the main girder _G 1 ~G _K is consistent with the position of each boundary of the lane _L 1 ~L _N, it is a N = K-1, the main girder The positions of _{G 1 to} G _K do not have to coincide with the positions of the boundaries of _{lanes L 1 to} L _{N, and N ≠ K-1.}

In the example of FIG. 2 and FIG. 3, in the longitudinal direction of the central portion CA of the superstructure 7, respectively each of the M sensor 23 is provided on the main beam G ₁ ~G _K. Here, the integer M is larger than the integer N. In the example of FIGS. 2 and 3, it is a M = K = N + 1, K>M> N, and may not sensor 23 is provided on at least one main girder _G 1 ~G _K.

If each sensor 23 is provided on the floor plate F of the superstructure 7, it may be destroyed by a traveling vehicle, and the measurement accuracy may be affected by the local deformation of the bridge floor 7a. Therefore, in the present embodiment, the measurement accuracy may be affected. in the example of FIG. 2 and FIG. 3, each sensor 23 is provided on the main girder _G 1 ~G _K of the superstructure 7.

In the present embodiment, in association with the M sensor 23 are M observation point R ₁ to R _M are set, respectively. Observation point R ₁ to R _M is, M-number of observation points of the superstructure 7 arranged along the second direction intersecting the first direction in which the vehicle 6 moves one lane L ₁ ~L _N of the superstructure 7 Is. In the examples of FIGS. 2 and 3, for each integer j of 1 or more and M or less, the observation point R _j is the floor plate F in the central portion CA, which is vertically upward of the sensor 23 provided on the _{main girder G j.} It is set to the position of the surface of. That is, the sensor 23 provided on the _{main girder G j} is an observation device for observing the _{observation point R j.} Sensor 23 for observing the observation point R _j is, may be provided an acceleration occurring in the observation point R _j by the running of the vehicle 6 to the detectable position, it is preferably provided in a position closer to the observation point R _j .. Thus, observation points _R 1 to R _M is a one-to-one relation with the M sensor 23.

In this embodiment, N pieces of the observation point of the M observation point _R 1 to R _M are provided respectively associated with the lane _L 1 ~L _N. Moreover, M-N pieces of observation points of the M observation point _R 1 to R _M is a redundant observation point that does not correspond to any of the lanes _L 1 ~L _N. In the example of FIGS. 2 and 3, the first direction, X direction along the lane L ₁ ~L _N of the superstructure 7, i.e., in the longitudinal direction of the superstructure 7. The second direction is the Y direction orthogonal to the X direction in the plane of the superstructure 7 on which the vehicle 6 travels, that is, the width direction of the superstructure 7. However, the second direction does not have to be orthogonal to the first direction. For example, it may be different distances from one end of the superstructure 7 to the observation point R ₁ to R _M. Incidentally, observation points R ₁ to R _M is an example of each of the "first observation point" - "observation point of the M".

The number and installation positions of the sensors 23 are not limited to the examples shown in FIGS. 2 and 3, and various modifications can be performed.

The measuring device 1 acquires acceleration in a third direction that intersects the X direction, which is the first direction, and the Y direction, which is the second direction, based on the acceleration data output from each sensor 23. Observation point R ₁ to R _M, so deflected in the direction perpendicular to the X and Y directions, the measuring device 1, in order to accurately calculate the magnitude of the acceleration of deflection, perpendicular to the X and Y directions It is desirable to acquire the acceleration in the third direction, that is, in the normal direction of the floor plate F.

FIG. 4 is a diagram illustrating the acceleration detected by the sensor 23. The sensor 23 is an acceleration sensor that detects acceleration generated in each of the three axes orthogonal to each other.

To detect the acceleration of deflection of the observation point R ₁ to R _M by the running of the vehicle 6, each sensor 23, x-axis is the three detection axes, y-axis, of the z-axis, one axis is a first direction And it is installed so as to intersect the second direction. In the examples of FIGS. 2 and 3, since the first direction is the X direction and the second direction is the Y direction, each sensor 23 is installed so that one axis intersects the X direction and the Y direction. Will be done. Observation point R ₁ to R _M, so deflected in the direction perpendicular to the X and Y directions, in order to accurately detect the acceleration of deflection, ideally, each sensor 23, a one-axis X direction and It is installed in a direction orthogonal to the Y direction, that is, in the normal direction of the floor plate F.

However, when each sensor 23 is installed in the superstructure 7, the installation location may be tilted. In the measuring device 1, even if one of the three detection axes of each sensor 23 is not installed in the normal direction of the floor plate F, the error is small and can be ignored because it is generally oriented in the normal direction. Further, in the measuring device 1, even if one of the three detection axes of each sensor 23 is not installed in the normal direction of the floor plate F, the three axes that combine the accelerations of the x-axis, y-axis, and z-axis are combined. The combined acceleration can correct the detection error due to the inclination of each sensor 23. Further, each sensor 23 may be a uniaxial acceleration sensor that detects acceleration generated in a direction substantially parallel to at least the vertical direction or acceleration in the normal direction of the floor plate F.

Hereinafter, the details of the measurement method of the present embodiment executed by the measurement device 1 will be described.

1-2. When calculating the vehicle 6 action has traveled lane L _1, the load by the vehicle 6, the observation point corresponding to the lane L _1, the working x ₁ occur for example at the observation point R _1. Therefore, the observation point R ₁ is displaced by the action x _1. At this time, if the traveling superstructure 7 vehicle 6 by itself, effects produced at the observation point R ₂ to R _M by a load due to vehicle running lane L ₂ ~L _N is zero. However, since the effect of acting _{x 1} is on the observation point _R 2 to R _M occurs, so that also the observation points _R 2 to R _M displaced. Therefore, not only the sensor 23 for observing the observation point R _1, M-1 one sensor 23 for observing the observation point R ₂ to R _M respectively also, to detect the acceleration generated by the vehicle traveling in the lane L ₁ Become.

As an example, in FIGS. 5 and 6, N = 2, each sensor 23 and the observation point in the case of _{M = 3 R 1, R 2} , shows an example of the arrangement of _{R 3,} 7, 5 and 6 In the case of the arrangement example shown, an example of the acceleration detected by each sensor 23 is shown.

FIG. 5 is a view of the superstructure 7 viewed from above, and FIG. 6 is a cross-sectional view of FIG. 5 cut along the line AA. In the example of FIG. 5 and FIG. 6, three sensors 23 are respectively provided on the main girder _{G 1,} G 2, _{G 3} at the center CA of the upper structure 7. Further, the observation point R _{1 corresponding to the lane L 1} is set at the position of the surface of the floor plate F in the vertically upward direction of the sensor 23 provided on the main girder G ₁ , and the observation point R _{3 corresponding to the lane L 2 is set.} but it is set to a position of the surface of the floor F in the vertically upward direction of the sensor 23 provided on the main girder G _3. Further, the _{observation point R 2} corresponding to neither of _{the lanes L 1} and L ₂ is set at the position of the surface of the floor plate F in the vertically upward direction of the sensor 23 provided on the main girder G _2. Sensor 23 provided on the main girder G ₁ observes the observation point R _1, the main girder G ₂ sensor 23 provided in observes the observation point R _2, main girder G ₃ sensor 23 provided in the observation to observe the point _{R 3.}

Figure 7 is a diagram showing an example of acceleration data output from each sensor 23 when the vehicle 6 is traveling in the lane L ₁ alone. Each waveform in FIG. 7 is a waveform obtained by filtering each acceleration data in order to clarify the peak.

Peak PK1 of the acceleration data output from the sensor 23 for observing the observation point R ₁ represents the passage of the axle of the vehicle 6.

Peak of the acceleration data output from the sensor 23 for observing the observation point _{R 1} PK1 corresponds to the action _{x 1} observation point _{R 1} by the vehicle 6. On the other hand, the peak PK2 of the acceleration data output from the sensor 23 for observing the observation point R ₂ are working x ₁ observation point R ₁ by the vehicle 6 corresponds to the action on the observation point R _2. Similarly, the peak PK3 of the acceleration data output from the sensor 23 for observing the observation point R ₃ are acting x ₁ observation point R ₁ by the vehicle 6 corresponds to the action on the observation point R _3. Since the vehicle 6 is traveling lane _{L 1} alone, the peak PK1 is greater than the peak PK3. Further, the peak PK2 is slightly smaller than the peak PK1.

Assuming that the other vehicle 6 when the vehicle 6 is traveling lanes L ₁ has run parallel lanes L _2, sensor 23 for observing the observation point R ₁ is observation point R ₁ by the vehicle 6 traveling on the lane L ₁ The acceleration corresponding to the sum of the action x _{1 of the above} and the action x _{2 of the observation point R 2} by another vehicle 6 traveling in the lane L ₂ on the observation point R _{1 is detected.} Similarly, the sensor 23 for observing the observation point _{R 3} are the working _{x 3} observation points _{R 3} by another vehicle 6 traveling on the lane _{L 2,} the action of the observation point _{R 1} by the vehicle 6 traveling on the lane _{L 1} The acceleration corresponding to the sum of the action of _{x 1} on the observation point R _{3 will be detected.} Further, the sensor 23 for observing the observation point R _{2 has an action x 1} of the action x _{1 of the observation point R 1} by the vehicle 6 traveling in the _{lane L 1} on the observation point R ₂ and another vehicle 6 traveling in the lane L _2. The acceleration corresponding to the sum of the action x ₃ of the observation point R _{3 and} the action on the observation point R _{2 is detected.} Therefore, when two vehicles 6 run in parallel, the peaks PK1, PK2, and PK3 are all larger than those in FIG. 7, but the magnitude relationship between the peaks PK1, PK2, and PK3 may not change. Moreover, since the sizes of the peaks PK1, PK2, and PK3 change depending on the weight of the vehicle 6, a simple comparison of the peaks PK1, PK2, PK3 shows whether one vehicle 6 traveled alone or two vehicles 6 I can't tell if they ran in parallel.

On the other hand, when the vehicle 6 travels alone as in the example of FIG. 7, the waveforms of the accelerations detected by the sensors 23 are similar to each other although their peaks are different from each other. That is, 1 to M of arbitrary integer j, relative to i, and the action x _j of the observation point R _j when the vehicle 6 has traveled the lanes corresponding to the observation point R _j, act x _j is the observation point R There is a correlation with the effect on _i. Therefore, in this embodiment, the measuring apparatus 1 uses this correlation, to calculate the effect _x 1 ~x _M, displacement or of the superstructure 7 by the action _x 1 ~x _M, lane _L 1 ~L _N The load due to the traveling vehicle 6 is calculated.

First, the function shown with the action x _j of the observation point R _j when the vehicle 6 has traveled the lanes corresponding to the observation point R _j, the correlation between action acting x _j observation point R _j is on observation point R _i y _ij is defined as in Eq. (1). j and i are arbitrary integers of 1 or more and M or less, respectively. In the equation (1), a _ij is a first-order coefficient and _bij is a zero-order coefficient. As shown in the equation (1), the function y _ij is a polynomial function of action x _j , and specifically, is a first-order polynomial function.

For example, as an example, as in the arrangement example shown in FIGS. 5 and 6, the case of N = 2 will be taken as an example. When the vehicle 6 has traveled the lane _{L 1,} action effects _{x 1} of the physical quantity acting _{x 1} is observed to act at the observation point _{R j} lane _{L 1} and lane _{L 1} is the observation point _{R 2} lane _{L 2} The correlation with the physical quantity observed in the above is shown by a first-order polynomial function as shown in FIG.

As an example, the working _{x 1} observation point _{R 1,} acting _{x 1} functions _{y i1} showing a correlation between the action on the observation point _{R i} is defined by the equation (2).

More specifically, the working _{x 1,} so that each formula is a function _y 11 _{~y M1} showing a correlation between action acting _{x 1} is on the observation point _R 1 _{~R M} (3).

Next, as shown in Equation (4), the displacement _{g i} of the observation point _{R i} is assumed to be equal to the sum of the values of the function _y i1 _{~y iM.}

At this time, from equation (1) and (4), the displacement vector g for the displacement _g 1 to g _M of observation points _R 1 to R _M as elements is expressed by the following equation (5).

In the equation (5), each element y _k of the vector Y is defined as in the equation (6). k is an arbitrary integer of 1 or more and M or less.

Displacement vector u to actually observed by each of the displacement u ₁ ~u _M elements of the observation points R ₁ to R _M is, assuming equal displacement vector g, the formula (7) is obtained. Displacement _u 1 ~u _M is, for example, M number of sensors 23 corresponding to the observation point _R 1 to R _M is obtained by integrating twice each acceleration detected.

In the formula (7), M-N pieces of observation points of the M observation point _R 1 to R _M, since neither associated with any of the lanes _L 1 ~L _N, the vehicle 6 lane _{L 1} even when traveling either ~L _N, in the M-N pieces of observation points considered as not occur action by the running of the vehicle 6. That is, it is considered that the action of the vehicle 6 at the MN observation points is zero. Then, lane L to calculate the unknown effects of the N observation points associated with the ₁ ~L _N, equation (7) Any of the N displacement from the resulting the M displacement u ₁ ~u _M in Can be selected to formulate simultaneous equations. The number of combinations C of N displacements that can be selected from _M displacements u _{1 to} u M is expressed by the equation (8).

Measuring device 1 selects the simultaneous equations of a plurality of sets of N displacement, by solving each set of simultaneous equations, lane L ₁ ~L when the vehicle 6 is traveling alone each lane L ₁ ~L _{N A} plurality of actions of N observation points corresponding to N are calculated.

As an example, as in the arrangement example shown in FIGS. 5 and 6, the process of calculating a plurality of _{actions x 1} and x ₃ from the equation (7) is performed by taking the case of N = 2 and M = 3 as an example. This will be described in detail. Since M = 3, the equation (9) can be obtained from the equation (7).

In the examples of FIGS. 5 and 6, observation points R ₁ and R ₃ are associated with lanes L ₁ and L ₂ , respectively, and observation points R ₂ are not associated with any of lanes L ₁ and L _2. Therefore, in the equation (9), _{it is considered that the actions x 1} and x ₃ are unknown and the action x ₂ is zero, and from the equation (6), y ₂ = 0, so that the equation (10) can be obtained. ..

Alternatively, in the example of FIG. 5 and FIG. 6, the displacement _{u 1,} u 2, _{u 3} observation points _{R 1,} R 2, _{R 3} are, observation point _R 1 only by the action _{x 1} observation point _{R 1, R 2} displacement _u 1_1 of _{R 3,} u _{2_1,} and _{u 3_1} displacement _u 1_2 observation point observation point _R 1 only by the action _{x 2} of _{R 2,} R 2, _{R 3,} u _{2_2,} and _{u 3_2,} observation points R observation point only by the action _{x 3} of _{3 R 1, R 2,} displacement of _{R 3 u 1_3, u 2_3,} considered to be equal to the sum of the _{u 3_3,} it is also possible to calculate the equation (10).

Specifically, the displacement vector g ₁ having the displacements u _1-11 , u _{2_1} , and u _{3_1} of the observation points R ₁ , R ₂ , and R ₃ due to the action x ₁ as elements is expressed by Eq. (11).

Further, it is assumed that the action x ₂ is zero, and the displacement vector g ₂ having the displacements u _1-2 , u _{2_2} , u _{3_2} of the observation points R ₁ , R ₂ , and R _{3 due to the action x 2} as elements is given by Eq. (12). It is represented by.

Acting _{x 3} observation point only by _{R 1,} R 2, displacement of _{R 3 u 1_3, u 2_3,} displacement vector _{g 3} to the _{u 3_3} element is expressed by Equation (13).

From the equations (11), (12), and (13), the displacement vector u becomes the equation (14), and the equation (10) can be obtained by modifying the equation (14).

In equation (10), the combination of displacements that can be selected from the _{three displacements u 1} , u ₂ , u 3 for calculating the _{two unknown actions x 1} , x _{3 is 3 from equation (8).} It's a street.

The first set to be selected is the displacement u ₁ , u ₂ , and the simultaneous equations with the actions x ₁ , x ₃ as unknowns are given by Eq. (15).

Equation (15) is modified to obtain equation (16).

From the equation (16), the actions x ₁ and x ₃ can be obtained as in the equation (17).

The second set to be selected is the displacement u ₁ , u ₃ , and the simultaneous equations with the actions x ₁ , x ₃ as unknowns are given by Eq. (18).

Equation (18) is modified to obtain equation (19).

From the equation (19), the actions x ₁ and x ₃ can be obtained as in the equation (20).

Third set chosen is the displacement _u 2, _{u 3,} simultaneous equations to unknown action _x 1, _{x 3} is given by Equation (21).

Equation (21) is modified to obtain Equation (22).

From the equation (22), the actions x ₁ and x ₃ can be obtained as in the equation (23).

The displacements u ₁ , u ₂ , and u ₃ are sequences with the time t as a parameter, and the actions x ₁ , x ₂ , and x ₃ are similar sequences. _{Therefore, when these three sets of simultaneous equations are solved and the actions x 1} and x ₃ obtained by the equations (17), (20), and (23) are put together, the three sets of actions x ₁ are of the equation (24). Then, the three sets of actions x ₃ are as shown in equation (25).

FIG. 9 shows an example of the displacement of the observation points R ₁ , R ₂ , and R _{3 observed when the vehicle 6 travels alone in the lane L 1} in the case of the arrangement example shown in FIGS. 5 and 6. .. Further, in FIG. 10, it is calculated from the _{actions x 1} , x ₃ obtained by the equations (17), (20) or (23) with respect to the displacements of the _{observation points R 1} , R ₂ and R _{3 shown in FIG.} It is the an example of a displacement of the observation point _R 1, _{R 3.} In FIGS. 9 and 10, the horizontal axis is time and the vertical axis is displacement. In FIG. 9, the solid line _{indicates the displacement of the observation point R 1} , the alternate long and short dash line indicates the displacement of the observation point R ₂ , and the broken line indicates the displacement of the observation point R _i . Further, in FIG. 10, the solid line _{indicates the displacement of the observation point R 1} , and the broken line indicates the displacement of the observation point R _i .

As shown in FIG. 9, since the vehicle 6 is traveling lane L ₁ alone, the displacement of the observation point R ₁ is greater than the displacement of the observation point R _2, R _3. Further, due to the effect of acting _{x 1} is on the observation point _R 2, _{R 3,} displacement of the observation point _R 2, _{R 3} is not zero. Then, the displacement of the observation point time and observation point displacement is maximum of R ₁ R _2, R ₃ matches the time the maximum. In contrast, as shown in FIG. 10, the displacement observation point R ₁ which is calculated from the action x _1, is substantially the same as the displacement of the observation point R ₁ shown in FIG. 9, is calculated from the working x ₃ displacement of the observation point R ₃ is zero. Then, while with both peak displacement of the observation point R ₁ shown in FIG. 10, the displacement of the observation point R ₃ has no peak, while being specified that the vehicle 6 has traveled the lane L ₁ alone, it is possible to calculate the load applied by vehicle 6 from the displacement of the observation point R ₁ due to the action x _1.

1-3. In calculating this embodiment of the statistics, the measuring device 1, for each of the N observation points corresponding to the lane L ₁ ~L _N, by solving each of the plurality of sets of simultaneous equations selected from the formula (7) Calculate the statistical values of the obtained multiple actions. The statistics are, for example, maximum likelihood, standard deviation, variance or median.

As an example, n pieces of action _x 1_1 the operation _{x 1 (t) ~x If 1_n} (t) is obtained, n-number of acts _{x 1_1 (t) ~x 1_n (} t) the maximum likelihood value x the average of _{1_avg} (t) is given by equation (26).

Further, the standard deviation _{x 1_Shiguma} of n working _{x 1_1 (t) ~x 1_n (} t) (t) is given by equation (27).

The dispersibility _{x 1_σ} ² of n working _{x 1_1 (t) ~x 1_n (} t) (t) is given by equation (28).

The intermediate value _{x 1_Medi} of n working _{x 1_1 (t) ~x 1_n (} t) (t) , if n is odd, descending order of acts _{x 1_1 (t) ~x 1_n (} t) or It is given as the median in ascending order. The intermediate value _{x 1_Medi} of n working _{x 1_1 (t) ~x 1_n (} t) (t) , if n is an even number, descending order of acts _{x 1_1 (t) ~x 1_n (} t) or It is given as the average value of the two values in the center, arranged in ascending order.

11, in the case of the exemplary arrangement shown in FIG. 5 and FIG. 6, three actions calculated by the equation _{(24) x 1_1 (t)} , x 1_2 (t), x 1_3 (t) and (26 _{) Is} shown as an example of the maximum likelihood value x 1_avg (t) calculated by the average. In FIG. 11, the action and the maximum likelihood value are shown in terms of displacement, the horizontal axis is time, and the vertical axis is displacement. 11, the solid line shows the effect _{x 1_1} (t), the broken line shows the effect _{x 1_2} (t), one-dot chain line act _{x 1_3} indicates (t), the maximum likelihood value _{x 1_Avg} dotted lines by mean (t) Is shown. In Figure 11, three working _{x 1_1 (t), x 1_2} (t), x 1_3 (t) and the difference between the mutual maximum likelihood value _{x 1_avg} (t) is small due to the average, is obtained by Equation (28) distributed x _{1_σ} ² (t) is the normal range. Accordingly, the measuring apparatus 1 can calculate the displacement and load of the observation point _{R 1} as a function of the observation point _{R 1} the most likely value _{x 1_avg} (t) by the average obtained by the formula (26).

1-4. The abnormality determination embodiment, the measuring device 1, based on the statistical value calculated for each of the N observation points associated with the lane L ₁ ~L _N of observation points R ₁ to R _N , Judge the abnormality of the superstructure 7. Specifically, the measuring device 1 subtracts the intermediate value of the plurality of actions from the maximum likelihood value obtained by averaging the plurality of actions for the observation point corresponding to _{each lane L j.} Then, in the measuring device 1, the value obtained by subtracting the intermediate value from the maximum likelihood value is the second value in which the variance value of the plurality of actions exceeds the first threshold value and the intermediate value is subtracted from the maximum likelihood value with respect to the observation point corresponding to _{each lane L j.} If it exceeds the threshold value, it is determined that the superstructure 7 is abnormal.

As an example, in the case of the arrangement examples shown in FIGS. 5 and 6, the process in which the measuring device 1 determines the abnormality of the superstructure 7 based on the statistical values will be described.

The equation (29), three actions of observation points _{R 1} obtained by Equation _{(26) x 1_1 (t)} , x 1_2 (t), the maximum likelihood value according to the average of _{x 1_3 (t) x 1_avg (} t) _{, The waveform x 1_avg-medi} (t) obtained by subtracting the median value x _{1_medi} (t) of the actions x _{1_1} (t), x _{1_2} (t), and x _{1_3 (t).}

Similarly, the equation (30), the three actions of the observation point _{R 3 x 3_1 (t),} x 3_2 (t), the maximum likelihood value according to the average of _{x 3_3 (t) x 3_avg (} t), acting _{x 3_1 (t), x 3_2 (t} ), the waveform obtained by subtracting an intermediate value _{x 3_medi} (t) of _{x 3_3 (t) x 3_avg-} medi (t) is obtained.

The measuring apparatus 1, with respect to the observation point _{R 1,} 3 one working _x obtained by formula _{(28) 1_1 (t),} x 1_2 (t), the dispersion _{x 1_Shiguma} ² of _{x 1_3} (t) (t) Determines whether or not exceeds the first threshold. _{When the variance x 1_σ} ² (t) exceeds the first threshold value, the measuring device 1 _{determines whether or not the waveform x 1_avg-medi} (t) exceeds the second threshold value. _{When the waveform x 1_avg-medi} (t) exceeds the second threshold value, the measuring device 1 determines that the measuring system 10 or the superstructure 7 is abnormal. Similarly, the measuring device 1, to the observation point _{R 3,} 3 one working _{x 3_1 (t), x 3_2} (t), x 3_3 variance _{x 3_σ} ² (t) is a first threshold value (t) If it exceeds and the waveform x _{1_avg-medi} (t) exceeds the second threshold value, it is determined that the measurement system 10 or the superstructure 7 is abnormal.

When the measuring device 1 determines that the measuring system 10 or the superstructure 7 is abnormal, the measuring device 1 notifies the server 2 or the like that the abnormality is present.

Assuming that the zero-order coefficients b _{11 to} b ₃₃ are small in the equations (24) and (25) and are zero, the equations (24) and (25) are the equations (31) and (32), respectively. Will be.

From equations (31) and (32), each action has a relationship equal to the difference obtained by multiplying the displacements of the two selected observation points by the rates α and β calculated from the _{linear coefficients a 11 to} a _{33, respectively.} .. Since the action is calculated from the difference between the displacements of the two observation points, the first-order coefficients a _{11 to} a ₃₃ can be seen as a quantity proportional to the structural strength that determines the response to the action of the superstructure 7. In this case, since each action is derived from the relationship between the two selected stations, the plurality of equations for each action are composed of coefficients relating to the structure between the plurality of parts of the superstructure 7. It can be said that. Therefore, the calculated maximum likelihood value of the average of the plurality of actions is related to the average intensity of the superstructure 7, and the dispersion of the plurality of actions is related to the variation in the intensity between the plurality of parts of the superstructure 7. Can be thought of as. From this, the measuring device 1 calculates a plurality of actions based on the observation information of a plurality of observation points including redundant observation points, and statistically compares the plurality of actions, and when the variation is large, the measurement system By determining that there is an abnormality in the 10 or the superstructure 7, the measurement system 10 and the superstructure 7 can be diagnosed.

1-5. Measurement Method FIG. 12 is a flowchart showing an example of the procedure of the measurement method of the first embodiment. In this embodiment, the measuring device 1 executes the procedure shown in FIG.

As shown in FIG. 12, first, the measurement apparatus 1 obtains the displacement _u 1 ~u _M observation point _R 1 to R _M when the vehicle has traveled the superstructure 7 alone, the displacement _u 1 ~u _M based on the coefficients of the function _{y ij a ij,} it calculates the value of _{b ij} (step S1). i and j are arbitrary integers of 1 or more and M or less. The vehicle is a known mobile body different from the vehicle 6 which is an unknown mobile body. A known moving body is a moving body for which information such as load, dimensions, and number of axes is known, and an unknown moving body is a moving body for which the information is not known. This step S1 is a coefficient value calculation step.

Next, the measuring device 1 is based on the observation information by the M sensors 23 for observing the observation point R ₁ to R _M, the physical quantity of the observation points R ₁ to R _M when the vehicle 6 is moved superstructure 7 The displacements u _{1 to} u _M are acquired as (step S2). As described above, the M sensors 23 are each accelerometer observation information by the M sensors 23, an acceleration detection information generated in the observation point R ₁ to R _M. Then, this acceleration is an acceleration in a third direction that intersects the X direction, which is the first direction, and the Y direction, which is the second direction, respectively. The measuring device 1 integrates the accelerations in the third direction detected by the M sensors 23 twice to calculate the displacement vector u included in the above equation (7). Accordingly, the displacement u ₁ ~u _M as a physical quantity of the observation points R ₁ to R _M physical quantity obtaining step by the measuring apparatus 1 acquires, the third direction of displacement intersecting the X direction and the Y direction, for example, X direction And the displacement in the third direction orthogonal to the Y direction, respectively. This step S2 is a physical quantity acquisition step.

Next, the measuring device 1, as the displacement _{u i} of the observation point _{R i} is equal to the sum of the values of the function _y i1 _{~y iM,} N pieces of displacement of the displacement _u 1 ~u _M acquired in Step S2 the plurality of sets selected, based on each of the N displacement of the plurality of sets, each action of the associated N-number of observation points in lane L ₁ ~L _N of observation points R ₁ to R _M A plurality of calculations are performed (step S3). i is an arbitrary integer of 1 or more and M or less. _{Specifically, the measuring device 1 selects a plurality of sets of N displacements from the M displacements u 1 to} u M obtained by the above equation (7), and solves the simultaneous equations of the plurality of sets of displacements. , respectively calculates a plurality of action of the associated N-number of observation points in lane L ₁ ~L _N. This step S3 is an action calculation step.

Next, the measuring device 1 calculates statistical values of a plurality of actions calculated in step S3 for each of the N observation points (step S4). This step S4 is a statistical value calculation step.

Next, the measuring device 1 determines an abnormality based on the statistical value calculated in step S4 for each of the N observation points (step S5). This step S5 is an abnormality determination step.

Next, the measuring device 1 calculates the displacement for each of the N observation points based on the statistical value calculated in step S5 (step S6). For example, with respect to the observation point R _k of the N observation points associated with the lane L ₁ ~L _N, an intermediate value of the average maximum likelihood value and a plurality of action by the plurality of working calculated in step S5 as action _{x k,} the right side of the above equation (5), and displacement of the observation point _{R k} a displacement _{g k} calculated all act as zero except action _{x k} of action _x 1 ~x _N do. This step S6 is a displacement calculation step.

Next, the measuring apparatus 1, based on the displacement of the calculated N number of observation points in step S6, the calculated load by the vehicle 6 travels each lane L ₁ ~L _N (step S7). For one or more N or less for each integer j, since between the load caused by vehicle 6 traveling on the displacement and lanes L _j of the observation points associated with the lane L _j are correlated, load tests with pre vehicle In, the coefficient of this correlation equation is calculated. The measuring device 1 can calculate the load by the vehicle 6 traveling in the _{lane L j} by substituting the displacement of the observation point associated with _{the lane L j into the correlation equation.} This step S7 is a load calculation step.

Next, the measuring apparatus 1 outputs the load of the vehicle 6 traveling lane _L 1 ~L _N calculated in step S7 to the server 2 (step S8). This step S8 is an output step.

The measuring device 1 repeats the processes of steps S2 to S8 until the measurement is completed (N in step S9).

FIG. 13 is a flowchart showing an example of the procedure of the coefficient value calculation step which is step S1 of FIG.

As shown in FIG. 13, first, the measurement apparatus 1 sets the integer j to 1 (step S11), M number of sensors 23 for observing the observation point _R 1 to R _M is a lane _{L j} vehicle alone Acquires the acceleration detected when the vehicle travels (step S12).

Next, the measuring apparatus 1 is to first order approximation the correlation between each of the acceleration of the acceleration and the observation point _R 1 to R _M of observation points _{R j} obtained in step S12, the primary coefficient _a 1j _{~a Mj} values And the values of the 0th order coefficients b _{1j to} b _Mj are calculated (step S13).

When the integer j is not N (N in step S14), the measuring device 1 adds 1 to the integer j (step S15), and repeats the processes of steps S11 to S13.

Then, when the integer j becomes N (Y in step S14), the measuring device 1 ends the process of the coefficient value calculation step.

FIG. 14 is a flowchart showing an example of the procedure of the statistical value calculation step which is step S4 of FIG.

As shown in FIG. 14, the measuring apparatus 1 sets the integer i to 1 (step S41), the observation point _{R i} is not a redundant observation point, i.e., to one of the lanes _L 1 ~L _N when an observation point which is associated (N in step S42), with respect to the observation point _{R i,} to calculate the maximum likelihood value _{x i_avg} (t) by the average of a plurality of action (step S43).

Next, the measuring device 1 _{calculates the variance x i_σ} ² (t) of a plurality of actions with respect to _{the observation point R i} (step S44).

Next, the measuring device 1, to the observation point _{R i,} to calculate the intermediate values _{x i_medi} (t) of the plurality of working (step S45).

Measuring apparatus 1, (Y in step S42) when the observation point _{R i} is redundant observation point, does not perform the processing of step S43 to S45.

Then, when the integer i is not M (N in step S46), the measuring device 1 adds 1 to the integer i (step S47), repeats the processes of steps S42 to S45, and when the integer i becomes M (N). Y) of step S46, the process of the statistical value calculation step is completed.

FIG. 15 is a flowchart showing an example of the procedure of the abnormality determination step which is step S5 of FIG.

As shown in FIG. 15, the measuring apparatus 1 sets the integer i to 1 (step S50), when the observation point _{R i} is not a redundant observation point (N in step S51), the observation point _{R i} On the other hand, the waveform x _{i_avg-medi} (t) _{obtained by subtracting the intermediate value x i_medi} (t) calculated in step S45 of FIG. 14 from _{the most likely value x i_avg (t) calculated in step S43 of FIG. 14 is calculated.} (Step S52).

_{Next, the measuring device 1 observes the maximum likelihood value x i_avg} (t) ^{when the variance x i_σ 2} (t) calculated in step S44 of FIG. 14 is equal to or less than the first threshold value (N in step S53). and acting _{x i} of the point _{R i} (step S54).

Further, in the measuring device 1, when the variance x _{i_σ} ² (t) is larger than the first threshold value (Y in step S53), the waveform x _{i_avg-medi} (t) calculated in step S52 is larger than the second threshold value. If it is large (Y in step S55), it is determined that there is an abnormality, and the server 2 or the like is notified of the abnormality (step S56).

Then, the measuring device 1 sets the intermediate value x _{i_medi} (t) as the action x _{i of the observation point R i} (step S57).

When the variance x _{i_σ} ² (t) is equal to or less than the first threshold value (N in step S53), the measuring device 1 performs the process of step S57 without performing the process of step S56.

Further, the measuring apparatus 1, (Y in step S51) when the observation point _{R i} is redundant observation point, does not perform the processing of step S52～S57.

Then, when the integer i is not M (N in step S58), the measuring device 1 adds 1 to the integer i (step S59), repeats the processes of steps S51 to S57, and when the integer i becomes M (N). Y) of step S58, the process of the abnormality determination step is completed.

1-6. Configuration of the Measuring Device FIG. 16 is a diagram showing a configuration example of the measuring device 1 according to the present embodiment. As shown in FIG. 16, the measuring device 1 includes a control unit 110, a first communication unit 120, a storage unit 130, a second communication unit 140, and an operation unit 150.

The control unit 110 calculates the displacement of the superstructure 7 and the like based on the acceleration data output from each sensor 23 installed in the superstructure 7, and determines the abnormality of the measurement system 10 or the superstructure 7.

The first communication unit 120 receives acceleration data from each sensor 23. The acceleration data output from each sensor 23 is, for example, a digital signal. The first communication unit 120 outputs the acceleration data received from each sensor 23 to the control unit 110.

The storage unit 130 is a memory for storing programs, data, and the like for the control unit 110 to perform calculation processing and control processing. In addition, the storage unit 130 stores programs, data, and the like for the control unit 110 to realize a predetermined application function. The storage unit 130 is composed of, for example, various IC (Integrated Circuit) memories such as ROM (Read Only Memory), flash ROM, and RAM (Random Access Memory), and a recording medium such as a hard disk and a memory card.

The storage unit 130 includes a non-volatile information storage device that is a device or medium that can be read by a computer, and various programs, data, and the like may be stored in the information storage device. The information storage device may be an optical disk such as an optical disk DVD or a CD, a hard disk drive, or various types of memory such as a card-type memory or a ROM. Further, the control unit 110 may receive various programs, data, and the like via the communication network 4 and store them in the storage unit 130.

The second communication unit 140 transmits information such as a calculation result of the control unit 110 and information indicating that the measurement system 10 or the superstructure 7 is abnormal to the server 2 via the communication network 4.

The operation unit 150 performs a process of acquiring operation data from the user and transmitting it to the control unit 110.

The control unit 110 outputs a physical quantity acquisition unit 111, an action calculation unit 112, a statistical value calculation unit 113, an abnormality determination unit 114, a displacement calculation unit 115, a load calculation unit 116, a coefficient value calculation unit 117, and an output. It includes a processing unit 118.

Physical quantity acquisition unit 111, based on the observation information by the M sensors 23 for observing the observation point R ₁ to R _M, displacement as a physical quantity of the observation points R ₁ to R _M when the vehicle 6 is moved superstructure 7 Acquire u _{1 to} u _M. That is, the physical quantity acquisition unit 111 performs the processing of the physical quantity acquisition step in FIG. _{The displacements u 1 to} u _M acquired by the physical quantity acquisition unit 111 are stored in the storage unit 130.

Effect calculation unit 112 may include one or more M or less arbitrary integer i, with respect to j, as the displacement _{u i} of the observation point _{R i} is equal to the sum of the values of the function _y i1 _{~y iM,} the physical quantity acquisition unit 111 N number of displacements plural sets selected one of the acquired displacement u ₁ ~u _M, based on each of the N displacement of the plurality of sets, lanes L ₁ of the observation point R ₁ to R _M ~L _A plurality of actions of N observation points associated with N are calculated. That is, the action calculation unit 112 performs the process of the action calculation step in FIG. Each of the plurality of actions of the N observation points calculated by the action calculation unit 112 is stored in the storage unit 130.

The statistical value calculation unit 113 calculates the statistical values of a plurality of actions calculated by the action calculation unit 112 for each of the N observation points. That is, the statistical value calculation unit 113 performs the processing of the statistical value calculation step in FIG. The statistical values of the plurality of actions of each of the N observation points calculated by the statistical value calculation unit 113 are stored in the storage unit 130.

The abnormality determination unit 114 determines an abnormality based on the statistical values calculated by the statistical value calculation unit 113 for each of the N observation points. That is, the abnormality determination unit 114 performs the processing of the abnormality determination step in FIG. The information of the determination result by the abnormality determination unit 114 is stored in the storage unit 130.

The displacement calculation unit 115 calculates the displacement for each of the N observation points based on the statistical value calculated by the statistical value calculation unit 113. That is, the displacement calculation unit 115 performs the processing of the displacement calculation step in FIG. The displacements of the N observation points calculated by the displacement calculation unit 115 are stored in the storage unit 130.

Load calculation unit 116, based on the displacement of the N observation points the displacement calculating unit 115 is calculated, to calculate the load applied by vehicle 6 travels each lane L ₁ ~L _N. That is, the load calculation unit 116 performs the processing of the load calculation step in FIG. Load by the vehicle 6 travels each lane _L 1 ~L _N the load calculation unit 116 has calculated is stored in the storage unit 130.

Coefficient value calculation unit 117 obtains one or more M or less arbitrary integer i, with respect to j, the displacement _u 1 ~u _M observation point _R 1 to R _M when the vehicle has traveled the superstructure 7 alone Then, based on the displacements u _{1 to} u _M , the values of the coefficients a _ij and b _{ij of the function y ij} are calculated. That is, the coefficient value calculation unit 117 performs the processing of the coefficient value calculation step in FIG. The values of the first-order coefficients a _{11 to} a _{MM and} the values of the zero-order coefficients b _{11 to} b _MM calculated by the coefficient value calculation unit 117 are stored in the storage unit 130.

Output processing unit 118, the load of the vehicle 6 traveling lane L ₁ ~L _N the load calculation unit 116 calculates, performs a process of outputting to the server 2 via the second communication unit 140. That is, the output processing unit 118 processes the output step shown in FIG.

For example, the control unit 110 has a first mode of calculating the displacement of the superstructure 7 by an unknown vehicle 6 and determining an abnormality of the measurement system 10 or the superstructure 7 based on the operation data from the operation unit 150. The mode is switched between the first-order coefficients a _{11 to} a _MM and the second mode for calculating the zero-order coefficients b _{11 to} b _MM. For example, after N sensors 23 are installed in the superstructure 7, a load test is performed by a plurality of vehicles with the control unit 110 set to the second mode, and after the load test is completed, the control unit 110 is subjected to a load test. It is set to the first mode.

In the present embodiment, the control unit 110 is a processor that executes various programs stored in the storage unit 130, and by executing the measurement program 131 stored in the storage unit 130, the physical quantity acquisition unit 111 and the action calculation Each function of the unit 112, the statistical value calculation unit 113, the abnormality determination unit 114, the displacement calculation unit 115, the load calculation unit 116, the coefficient value calculation unit 117, and the output processing unit 118 is realized. In other words, the measurement program 131 is a program that causes the measuring device 1 which is a computer to execute each procedure of the flowchart shown in FIG.

In the processor, for example, the functions of each part may be realized by individual hardware, or the functions of each part may be realized by integrated hardware. For example, a processor includes hardware, which hardware can include at least one of a circuit that processes a digital signal and a circuit that processes an analog signal. The processor may be a CPU (Central Processing Unit), a GPU (Graphics Processing Unit), a DSP (Digital Signal Processor), or the like. However, the control unit 110 may be configured as a custom IC (Integrated Circuit) such as an ASIC (Application Specific Integrated Circuit) to realize the functions of each part, or may realize the functions of each part by the CPU and the ASIC. good.

The control unit 110 does not have to include the load calculation unit 116. Further, the control unit 110 does not have to include the abnormality determination unit 114. For example, the measuring apparatus 1, transmits information of the statistical value of a plurality of action calculated respectively for N observation points associated with the lane L ₁ ~L _N to the server 2, the server 2 is the statistic The abnormality of the measurement system 10 or the superstructure 7 may be determined based on the above. Further, the control unit 110 does not have to include the coefficient value calculation unit 117. For example, the server 2 or another device _{performs a process of calculating the values of the first-order coefficients a 11 to} a _{MM and} the values of the zero-order coefficients b _{11 to} b _MM , and stores these values in the storage unit 130 of the measuring device 1. You may memorize it.

1-7. In the measurement method of the first embodiment described above advantageous effects, the measuring device 1 is based on the observation information by the M sensors 23 for observing the observation point R ₁ to R _M, observation points of R ₁ to R _M The displacements u _{1 to} u _M are acquired as physical quantities. When the the action _{x j} observation point _{R j,} the function indicating the correlation between action acting _{x j} is on observation point _{R i} was _{y ij,} the measuring device 1, the displacement _{u i} is a function _{y i1} ~ as equal to the sum of the values of y _iM, N number of displacements plural sets selected one of the displacement u ₁ ~u _M given by equation (7), on the basis of each of the N displacement of the plurality of sets , respectively calculates a plurality of action of the N observation points associated with the lane _L 1 ~L _N of observation points _R 1 to R _M. As a result, the measuring device 1 can calculate a plurality of actions x _{j when the moving vehicle 6 passes through the observation point R j} of the superstructure 7 which is a structure by separating it from other actions. For example, even when a plurality of vehicles 6 run in parallel in a plurality of lanes, the measuring device 1 eliminates the influence of the action of each observation point by the vehicle 6 traveling in each lane on other observation points. It is possible to calculate a plurality of actions of each observation point by the vehicle 6 traveling in each lane.

Furthermore, the measuring apparatus 1 calculates for each lane L ₁ ~L _N to the associated N number of observation points, the statistical value of the plurality of working calculated. If the measurement system or the superstructure 7 which is a structure is normal, the calculated plurality of actions are of the same magnitude, but if the measurement system 10 or the superstructure 7 is abnormal, the calculated plurality of actions are the same. The magnitude of the action will vary. Then, the variation in the magnitude of the plurality of actions can be determined from the statistical values of the plurality of actions. Therefore, according to the measurement method of the first embodiment, the measurement device 1 can calculate a statistical value as an index that can be used to determine an abnormality of the measurement system 10 or an abnormality of the superstructure 7.

Further, in the measurement method of the first embodiment, the measuring device 1, for each of the N observation points associated with the lane L ₁ ~L _N, based on the statistical value of the plurality of action calculated, the displaced, based on the displacement of the calculated N number of observation points, and calculates the load applied by vehicle 6 travels each lane L ₁ ~L _N. Therefore, according to the measurement method of the first embodiment, the measuring device 1 is based on the statistical values of the plurality of actions of each observation point calculated separately from the other actions, and each observation point by the traveling of the vehicle 6. Displacement and load can be calculated accurately. For example, even when a plurality of vehicles 6 running parallel multiple lanes, the measuring device 1, the displacement and load of the lane L _j by the vehicle 6 has been moved lane L _j can be accurately calculated. Based on this displacement and load information, for example, the measuring device 1 or the server 2 can accurately perform processing such as monitoring of an overloaded vehicle.

Further, according to the measurement method of the first embodiment, the measuring device 1 can calculate the displacement of the upper structure 7 and the load of the vehicle 6 due to the axle weight of the vehicle 6 passing through the upper structure 7, so that the upper structure can be calculated. Sufficient information can be provided for the maintenance of the bridge 5 for predicting the damage of 7.

2. The measuring method of the second embodiment first embodiment, the physical quantity obtaining step, measuring apparatus 1 obtains the displacement _u 1 ~u _N observation point _R 1 to R _N as a physical quantity of the observation points _R 1 to R _N .. In contrast, in the measurement method of the second embodiment, the physical quantity obtaining step, the measuring device 1, observation point _R 1 to R _N physical quantity as observation points _R 1 to R Load _w 1 to w by the vehicle 6 _{N Get N.} Hereinafter, with respect to the second embodiment, the same components as those of the first embodiment are designated by the same reference numerals, and the description overlapping with the first embodiment will be omitted or simplified, and the contents different from those of the first embodiment will be mainly described. do.

As shown in equation (33), the load _{f i} by the vehicle 6 observation point _{R i} is assumed to be equal to the sum of the values of the above function _y i1 _{~y iM.}

Table as in this case, from the above equations (1) and (33), load vector f to a load _f 1 ~f _M element by the vehicle 6 observation point _R 1 to R _M has the formula (34) Will be done.

In equation (34), each element y _k of the vector Y is defined as in equation (35). k is an arbitrary integer of 1 or more and M or less.

Indeed load vector w to the load _w 1 to w _M element by each of the vehicle 6 in the observed observation point _R 1 to R _M is, assuming equal load vector f, equation (36) is obtained.

In the formula (36), M-N pieces of observation points of the M observation point _R 1 to R _M, since neither associated with any of the lanes _L 1 ~L _N, the vehicle 6 lane _{L 1} even when traveling either ~L _N, in the M-N pieces of observation points considered as not occur action by the running of the vehicle 6. That is, it is considered that the action of the vehicle 6 at the MN observation points is zero. Then, in order to calculate the unknown effects of the N observation points associated with the lane _L 1 ~L _N, any of the N load from the M weight _w 1 to w _M obtained by the formula (16) Can be selected to formulate simultaneous equations. The number of combinations C of N loads that can be selected from _M loads w _{1 to w M is represented by the above equation (8).}

Measuring device 1 selects the simultaneous equations of a plurality of sets of N load, by solving each set of simultaneous equations, lane L ₁ ~L when the vehicle 6 is traveling alone each lane L ₁ ~L _{N A} plurality of actions of N observation points corresponding to N are calculated.

As an example, in the case of the arrangement example shown in FIGS. 5 and 6 described above, the actions x ₁ and x ₃ obtained by solving the three sets of simultaneous equations selected from the equation (36) can be summarized as three sets of actions. x ₁ is as in equation (37), and the three sets of actions x ₃ are as in equation (38). _{Equations (37) and (38) load displacements u 1} (t) and u ₃ (t) with respect to the above equations (24) and (25), respectively, _{w 1} (t), w ₃ ( It is an equation replaced with t).

FIG. 17 is a flowchart showing an example of the procedure of the measurement method of the second embodiment. In this embodiment, the measuring device 1 executes the procedure shown in FIG.

As shown in FIG. 17, first, the measurement apparatus 1, the vehicle acquires a load _w 1 to w _M by the vehicle observation point _R 1 to R _M when the traveling superstructure 7 alone, the load _w 1 ~ Based on w _M , the values of the coefficients a _ij and b _{ij of the function y ij} are calculated (step S101). i and j are arbitrary integers of 1 or more and M or less. The vehicle is a known mobile body different from the vehicle 6 which is an unknown mobile body. This step S101 is a coefficient value calculation step.

Next, the measuring device 1 is based on the observation information by the M sensors 23 for observing the observation point R ₁ to R _M, the physical quantity of the observation points R ₁ to R _M when the vehicle 6 is moved superstructure 7 As a result, the loads w _{1 to w M} by the vehicle 6 are acquired (step S102). As described above, the M sensors 23 are each accelerometer observation information by the M sensors 23, an acceleration detection information generated in the observation point R ₁ to R _M. Then, this acceleration is an acceleration in a third direction that intersects the X direction, which is the first direction, and the Y direction, which is the second direction, respectively. The measuring device 1 calculates the load vector w included in the equation (36) based on the acceleration in the third direction detected by each of the M sensors 23. Therefore, the load w ₁ to w _M as a physical quantity of the observation points R ₁ to R _M physical quantity obtaining step by the measuring apparatus 1 acquires, the third direction of the load cross the X direction and the Y direction, for example, X direction And the load in the third direction orthogonal to the Y direction. This step S102 is a physical quantity acquisition step.

Next, the measuring device 1, as the load _{w i} by the vehicle 6 observation point _{R i} is equal to the sum of the values of the function _y i1 _{~y iM,} N of the load _w 1 to w _M acquired in Step S102 the number of load plurality of sets selected for each of the plurality of sets based on the N load, the N observation points associated with the lane L ₁ ~L _N of observation points R ₁ to R _M A plurality of actions are calculated for each (step S103). i is an arbitrary integer of 1 or more and M or less. _{Specifically, the measuring device 1 selects a plurality of sets of N loads from the M loads w 1 to} w M obtained by the equation (36), solves the simultaneous equations of the plurality of sets of loads, and lanes. A plurality of actions of N observation points associated with _{L 1 to} L _{N are calculated.} This step S103 is an action calculation step.

Next, the measuring device 1 calculates statistical values of a plurality of actions calculated in step S103 for each of the N observation points (step S104). The statistics are, for example, maximum likelihood, standard deviation, variance or median. This step S104 is a statistical value calculation step.

Next, the measuring device 1 determines an abnormality based on the statistical value calculated in step S104 for each of the N observation points (step S105). This step S105 is an abnormality determination step.

Next, the measuring device 1 calculates the load by the vehicle 6 for each of the N observation points based on the statistical value calculated in step S105 (step S106). For example, with respect to the observation point R _k of the N observation points associated with the lane L ₁ ~L _N, the maximum likelihood value or an intermediate value of a plurality of action by an average of a plurality of action calculated in step S105 as action _{x k,} the right side of equation (34), the load due to vehicle 6 observation points _{R k} a load _{f k} calculated all act as zero except action _{x k} of action _x 1 ~x _N And. This step S106 is a load calculation step.

Next, the measuring apparatus 1, based on the load by the vehicle 6 of the N observation points calculated in step S106, calculates the respective displacement lane _L 1 ~L _N (step S107). For one or more N or less for each integer j, the load test by because there is a correlation, advance vehicle between by the vehicle 6 observation points associated with the lanes L _j and the displacement of the load and lanes L _j, Calculate the coefficient of this correlation equation. The measuring device 1 can calculate the displacement of the _{lane L j} by substituting the load of the vehicle 6 at the observation point associated with _{the lane L j into the correlation equation.} This step S107 is a displacement calculation step.

Next, the measuring apparatus 1 outputs the displacement of the lane _L 1 ~L _N calculated in step S107 to the server 2 (step S108). This step S108 is an output step.

The measuring device 1 repeats the processes of steps S102 to S108 until the measurement is completed (N in step S109).

Since the configuration of the measuring device 1 in the second embodiment is the same as that in FIG. 16, the illustration thereof will be omitted. Similar to the first embodiment, the measuring device 1 has a control unit 110, a first communication unit 120, a storage unit 130, a second communication unit 140, and an operation unit 150.

Since the processes performed by the first communication unit 120, the storage unit 130, the second communication unit 140, and the operation unit 150 are the same as those in the first embodiment, the description thereof will be omitted.

The control unit 110 calculates the load and the like by the vehicle 6 based on the acceleration data output from each sensor 23 installed in the superstructure 7, and also determines an abnormality in the measurement system 10 or the superstructure 7. Similar to the first embodiment, the control unit 110 is associated with the physical quantity acquisition unit 111, the action calculation unit 112, the statistical value calculation unit 113, the abnormality determination unit 114, the displacement calculation unit 115, and the load calculation unit 116. It includes a numerical value calculation unit 117 and an output processing unit 118.

Physical quantity acquisition unit 111, based on the observation information by the M sensors 23 for observing the observation point R ₁ to R _M, the vehicle as the physical quantity of the observation points R ₁ to R _M when the vehicle 6 is moved superstructure 7 The load w _{1 to w M according} to 6 is acquired. That is, the physical quantity acquisition unit 111 performs the processing of the physical quantity acquisition step in FIG. _{The loads w 1 to w M} acquired by the physical quantity acquisition unit 111 are stored in the storage unit 130.

_{The action calculation unit 112 acquires the physical quantity assuming that the load w i} by the vehicle 6 at _{the observation point R i} is equal to the sum of the values of the functions y _{i1 to y iM} for any integer i, j of 1 or more and M or less. of N load of the load w ₁ to w _M that part 111 obtains a plurality of group selection, based on each of the N load of the plurality of sets, lanes L of observation points R ₁ to R _{M 1} ~L _N in the associated N-number of the action of the observation points to a plurality calculated. That is, the action calculation unit 112 performs the process of the action calculation step in FIG. Each of the plurality of actions of the N observation points calculated by the action calculation unit 112 is stored in the storage unit 130.

The statistical value calculation unit 113 calculates the statistical values of a plurality of actions calculated by the action calculation unit 112 for each of the N observation points. That is, the statistical value calculation unit 113 performs the processing of the statistical value calculation step in FIG. The statistical values of the plurality of actions of each of the N observation points calculated by the statistical value calculation unit 113 are stored in the storage unit 130.

The abnormality determination unit 114 determines an abnormality based on the statistical values calculated by the statistical value calculation unit 113 for each of the N observation points. That is, the abnormality determination unit 114 performs the processing of the abnormality determination step in FIG. The information of the determination result by the abnormality determination unit 114 is stored in the storage unit 130.

Displacement calculating unit 115, based on the load by the vehicle 6 of the N observation points where the load calculation unit 116 has calculated, to calculate the respective displacement lane L ₁ ~L _N. That is, the displacement calculation unit 115 performs the processing of the displacement calculation step in FIG. _{The displacements of the lanes L 1 to} L _N calculated by the displacement calculation unit 115 are stored in the storage unit 130.

The load calculation unit 116 calculates the load by the vehicle 6 for each of the N observation points based on the statistical values calculated by the statistical value calculation unit 113. That is, the load calculation unit 116 processes the load calculation step in FIG. The load of each vehicle 6 at the N observation points calculated by the load calculation unit 116 is stored in the storage unit 130.

Coefficient value calculation unit 117, one or more M or less arbitrary integer i, with respect to j, the load _w 1 to w _M by the vehicle observation point _R 1 to R _M when the vehicle has traveled the superstructure 7 alone Is obtained, and the values of the coefficients a _ij and b _ij of the function y _{ij are calculated based on the loads w 1 to w M.} That is, the coefficient value calculation unit 117 performs the processing of the coefficient value calculation step in FIG. The values of the first-order coefficients a _{11 to} a _{MM and} the values of the zero-order coefficients b _{11 to} b _MM calculated by the coefficient value calculation unit 117 are stored in the storage unit 130.

Output processing unit 118, the displacement of the lane _L 1 ~L _N displacement calculating unit 115 calculates, performs a process of outputting to the server 2 via the second communication unit 140. That is, the output processing unit 118 processes the output step shown in FIG.

For example, the control unit 110 has a first mode for calculating a load or the like by an unknown vehicle 6 and determining an abnormality in the measurement system 10 or the superstructure 7 based on operation data from the operation unit 150, and a primary coefficient a. The second mode for calculating the _11- a _MM and the 0th-order coefficient b _11- b _{MM is switched.} For example, after N sensors 23 are installed in the superstructure 7, a load test is performed by a plurality of vehicles with the control unit 110 set to the second mode, and after the load test is completed, the control unit 110 is subjected to a load test. It is set to the first mode.

Similar to the first embodiment, the control unit 110 is a processor that executes various programs stored in the storage unit 130, and by executing the measurement program 131 stored in the storage unit 130, the physical quantity acquisition unit 111, Each function of the action calculation unit 112, the statistical value calculation unit 113, the abnormality determination unit 114, the displacement calculation unit 115, the load calculation unit 116, the coefficient value calculation unit 117, and the output processing unit 118 is realized. In other words, the measurement program 131 is a program that causes the measuring device 1 which is a computer to execute each procedure of the flowchart shown in FIG. However, the control unit 110 may be configured as a custom IC such as an ASIC to realize the functions of each unit, or the CPU and the ASIC may realize the functions of each unit.

The control unit 110 does not have to include the displacement calculation unit 115. Further, the control unit 110 does not have to include the abnormality determination unit 114. For example, the measuring apparatus 1, transmits information of the statistical value of a plurality of action calculated respectively for N observation points associated with the lane L ₁ ~L _N to the server 2, the server 2 is the statistic The abnormality of the measurement system 10 or the superstructure 7 may be determined based on the above. Further, the control unit 110 does not have to include the coefficient value calculation unit 117. For example, the server 2 or another device _{performs a process of calculating the values of the first-order coefficients a 11 to} a _{MM and} the values of the zero-order coefficients b _{11 to} b _MM , and stores these values in the storage unit 130 of the measuring device 1. You may memorize it.

The measuring method of the second embodiment described above, the measuring apparatus 1, based on the observation information by the M sensors 23 for observing the observation point R ₁ to R _M, as a physical quantity of the observation points R ₁ to R _{M The load w 1 to w M} by the vehicle 6 is acquired. When the the action _{x j} observation point _{R j,} the function indicating the correlation between action acting _{x j} is on observation point _{R i} was _{y ij,} measuring apparatus 1, the load _{w i} is a function _{y i1} ~ as equal to the sum of the values of y _iM, N number of load plural sets selected one of the load w ₁ to w _M given by equation (36), based on each of the N load of the plurality of sets , respectively calculates a plurality of action of the N observation points associated with the lane _L 1 ~L _N of observation points _R 1 to R _M. As a result, the measuring device 1 can calculate a plurality of actions x _{j when the moving vehicle 6 passes through the observation point R j} of the superstructure 7 which is a structure by separating it from other actions. For example, even when a plurality of vehicles 6 run in parallel in a plurality of lanes, the measuring device 1 eliminates the influence of the action of each observation point by the vehicle 6 traveling in each lane on other observation points. It is possible to calculate a plurality of actions of each observation point by the vehicle 6 traveling in each lane.

Furthermore, the measuring apparatus 1 calculates for each lane L ₁ ~L _N to the associated N number of observation points, the statistical value of the plurality of working calculated. If the measurement system or the superstructure 7 which is a structure is normal, the calculated plurality of actions are of the same magnitude, but if the measurement system 10 or the superstructure 7 is abnormal, the calculated plurality of actions are the same. The magnitude of the action will vary. Then, the variation in the magnitude of the plurality of actions can be determined from the statistical values of the plurality of actions. Therefore, according to the measurement method of the second embodiment, the measurement device 1 can calculate a statistical value as an index that can be used to determine an abnormality of the measurement system 10 or an abnormality of the superstructure 7.

Further, in the measurement method of the second embodiment, the measuring device 1, for each of the N observation points associated with the lane L ₁ ~L _N, based on the statistical value of the plurality of action calculated, the load due to vehicle 6, based on the load by the vehicle 6 of the calculated N number of observation points, and calculates the respective displacement lane L ₁ ~L _N. Therefore, according to the measurement method of the second embodiment, the measuring device 1 is based on the statistical values of the plurality of actions of each observation point calculated separately from the other actions, and each observation point by the running of the vehicle 6. The load and displacement of can be calculated accurately. For example, even when a plurality of vehicles 6 running parallel multiple lanes, the measuring device 1, the load and displacement lane L _j by the vehicle 6 has been moved lane L _j can be accurately calculated. Based on this load and displacement information, for example, the measuring device 1 or the server 2 can accurately perform processing such as monitoring of an overloaded vehicle.

3. 3. Modifications The present invention is not limited to the present embodiment, and various modifications can be carried out within the scope of the gist of the present invention.

In the above embodiments, function indicating the action x _j of the observation point R _j when the vehicle 6 is traveling lane L _j, the correlation between action acting x _j observation point R _j is on observation point R _i It _{is assumed that y ij} is a first-order polynomial function shown in the equation (1), but if the correlation is not a straight line, the function y _ij may be an m-th order polynomial function as shown in the equation (39). ..

In the embodiments described above, the observation apparatus for observing the observation point R ₁ to R _M is respectively the acceleration sensor is not limited to this, for example, the contact displacement sensor, a ring-type displacement meter, laser displacement meter , A pressure sensor, a displacement measuring device by image processing, or a displacement measuring device by an optical fiber. It is not necessary to the observation apparatus and observation point corresponds to one-to-one, may be a single observation device observes a part or the whole of the observation point R ₁ to R _M.

Contact displacement meter, the ring-type displacement meter, laser displacement meter, a displacement measuring device by image processing, a displacement measuring apparatus according to the optical fiber, measures the displacement in response to the action of observation points R ₁ to R _M of the vehicle 6. Measuring apparatus 1, based on the displacement of the observation point _R 1 to R _M, calculates the load caused by the displacement or the vehicle 6 as a physical quantity of the observation points _R 1 to R _M. Pressure-sensitive sensor detects the change in stress in response to action on the observation point R ₁ to R _M of the vehicle 6. Measuring device 1 on the basis of the change in stress observation point _R 1 to R _M, calculates the load caused by the displacement or the vehicle 6 as a physical quantity of the observation points _R 1 to R _M.

In the embodiments described above, all directions in which the vehicle 6 is traveling lane L ₁ ~L _N are the same, the vehicle 6 with at least one lane and the other lanes of the lane L ₁ ~L _N The traveling direction may be different.

Further, in each of the above embodiments, each sensor 23 is provided on the main girder G of the superstructure 7, but is provided on the surface or inside of the superstructure 7, the lower surface of the floor plate F, the pier 8a, or the like. May be good. Further, in each of the above embodiments, the road bridge is taken as an example of the bridge 5, but the present invention is not limited to this, and the bridge 5 may be a railway bridge, for example. Further, in each of the above embodiments, the superstructure of the bridge is taken as an example of the structure, but the structure is not limited to this, and the structure may be deformed by the movement of the moving body.

The above-described embodiments and modifications are merely examples, and the present invention is not limited thereto. For example, each embodiment and each modification can be combined as appropriate.

The present invention includes a configuration substantially the same as the configuration described in the embodiment, for example, a configuration having the same function, method and result, or a configuration having the same purpose and effect. The present invention also includes a configuration in which a non-essential part of the configuration described in the embodiment is replaced. The present invention also includes a configuration that exhibits the same effects as the configuration described in the embodiment or a configuration that can achieve the same object. Further, the present invention includes a configuration in which a known technique is added to the configuration described in the embodiment.

1 ... Measuring device, 2 ... Server, 4 ... Communication network, 5 ... Bridge, 6 ... Vehicle, 7 ... Superstructure, 7a ... Abutment, 7b ... Bearing, G ... Main girder, F ... Floor board, 8 ... Substructure, 8a ... pier, 8b ... abutment, 10 ... measurement system, 23 ... sensor, 110 ... control unit, 111 ... physical quantity acquisition unit, 112 ... action calculation unit, 113 ... statistical value calculation unit, 114 ... abnormality judgment unit, 115 ... displacement Calculation unit, 116 ... Load calculation unit, 117 ... Coefficient value calculation unit, 118 ... Output processing unit, 120 ... First communication unit, 130 ... Storage unit, 131 ... Measurement program, 140 ... Second communication unit, 150 ... Operation unit

Claims (15)

For an integer N of 2 or more and an integer M larger than the integer N, the moving body is arranged along a second direction intersecting the first direction in which the moving body travels in any of the first to Nth paths of the structure. A physical quantity acquisition step of acquiring the physical quantity of the first to Mth observation points based on the observation information by at least one observation device for observing the first to Mth observation points of the structure.
For one or more M or less arbitrary integer i and 1 to M any integer j, the effect x _j of the observation point of the first j, and action of the working x _j is on the observation point of the i-th Assuming that the physical quantity of the i-th observation point acquired in the physical quantity acquisition step is equal to the sum of the values of the _{functions y i1 to y iM} , when the function showing the correlation of is y _{ij, the physical quantity acquisition step} A plurality of sets of N physical quantities among the acquired physical quantities of the first to M observation points are selected, and based on each of the N physical quantities of the plurality of sets, the first to Mth. An action calculation step for calculating a plurality of actions of each of the N observation points associated with the first to Nth paths among the observation points, and an action calculation step.
A measurement method including a statistical value calculation step for calculating a plurality of statistical values of the action calculated in the action calculation step for each of the N observation points. The measurement method according to claim 1, further comprising an abnormality determination step of determining an abnormality based on the statistical values calculated for each of the N observation points in the statistical value calculation step. The measurement method according to claim 1 or 2, wherein the statistical value is a maximum likelihood value, a variance, or an intermediate value. Obtain the physical quantity of the first to third observation points when a known moving body different from the moving body moves the structure alone, and based on the physical quantity of the first to M observation points. The measurement method according to any one of claims 1 to 3, further comprising a coefficient value calculation step for calculating the value of the coefficient of the function _yij. The measurement method according to any one of claims 1 to 4, wherein the function y _ij is a polynomial function of the action x _j. The measurement method according to any one of claims 1 to 5, wherein the physical quantity of the first to third observation points acquired in the physical quantity acquisition step is a displacement or a load due to the moving body. The measurement method according to any one of claims 1 to 6, wherein the observation device is an acceleration sensor. The observation device according to any one of claims 1 to 6, wherein the observation device is a contact type displacement meter, a ring type displacement meter, a laser displacement meter, a pressure sensor, a displacement measuring device by image processing, or a displacement measuring device by an optical fiber. Measurement method. Any of claims 1 to 8, wherein the physical quantity of the first to third observation points acquired in the physical quantity acquisition step is the physical quantity in the third direction intersecting the first direction and the second direction, respectively. The measurement method described in item 1. The measuring method according to any one of claims 1 to 9, wherein the moving vehicle is a railroad vehicle, an automobile, a tram, a construction vehicle, or a military vehicle. The structure is a superstructure of a bridge and
The superstructure is a structure passed to any one of adjacent abutments and piers, two adjacent abutments, or two adjacent piers.
Both ends of the superstructure are located at the positions of the adjacent abutments and piers, the positions of the two adjacent abutments, or the positions of the two adjacent piers.
The measurement method according to any one of claims 1 to 10, wherein the bridge is a road bridge or a railway bridge. The measuring method according to any one of claims 1 to 11, wherein the structure is a structure in which BWIM (Bridge Weigh in Motion) functions. For an integer N of 2 or more and an integer M larger than the integer N, the moving body is arranged along a second direction intersecting the first direction in which the moving body travels in any of the first to Nth paths of the structure. A physical quantity acquisition unit that acquires the physical quantity of the first to Mth observation points based on the observation information by at least one observation device that observes the first to Mth observation points of the structure.
For one or more M or less arbitrary integer i and 1 to M any integer j, the effect x _j of the observation point of the first j, and action of the working x _j is on the observation point of the i-th when the function indicating the correlation of the y _ij, the physical quantity of the observation point of the i-th said physical quantity acquisition unit has acquired, as equal to the sum of the values of the function y _i1 ~y _iM, said physical quantity obtaining unit A plurality of sets of N physical quantities among the acquired physical quantities of the first to M observation points are selected, and based on each of the N physical quantities of the plurality of sets, the first to Mth. An action calculation unit that calculates a plurality of actions of each of the N observation points associated with the first to Nth paths among the observation points, and an action calculation unit.
A measuring device including a statistical value calculation unit for calculating a plurality of statistical values of the action calculated by the action calculation unit for each of the N observation points. The measuring device according to claim 13 and
A measurement system including the observation device. For an integer N of 2 or more and an integer M larger than the integer N, the moving body is arranged along a second direction intersecting the first direction in which the moving body travels in any of the first to Nth paths of the structure. A physical quantity acquisition step of acquiring the physical quantity of the first to Mth observation points based on the observation information by at least one observation device for observing the first to Mth observation points of the structure.
For one or more M or less arbitrary integer i and 1 to M any integer j, the effect x _j of the observation point of the first j, and action of the working x _j is on the observation point of the i-th Assuming that the physical quantity of the i-th observation point acquired in the physical quantity acquisition step is equal to the sum of the values of the _{functions y i1 to y iM} , when the function showing the correlation of is y _{ij, the physical quantity acquisition step} A plurality of sets of N physical quantities among the acquired physical quantities of the first to M observation points are selected, and based on each of the N physical quantities of the plurality of sets, the first to Mth. An action calculation step for calculating a plurality of actions of each of the N observation points associated with the first to Nth paths among the observation points, and an action calculation step.
A measurement program for causing a computer to execute a statistical value calculation step for calculating a plurality of statistical values of the action calculated in the action calculation step for each of the N observation points.

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