Measurement method, measurement device, measurement system, and measurement program

Abstract

To provide a measurement method that can accurately estimate the amplitude of displacement of a structure when a movable body moves on the structure.SOLUTION: A measurement method includes: an acceleration data acquisition step of acquiring acceleration data output from accelerometers that observe observation points of a structure when a first movable body moves on the structure; a speed vibration component calculation step of performing integration processing and filter processing of acceleration based on the acceleration data to calculate a first speed vibration component; and a displacement amplitude estimation step of estimating the amplitude of displacement of the structure when the first movable body moves on the structure on the basis of the first speed vibration component and a transfer function calculated in advance on the basis of displacement data output from displacement meters that observe the observation points when a second movable body moves on the structure.SELECTED DRAWING: Figure 14

Description

[Technical Field]

[0001] The present invention relates to a measurement method, a measurement device, a measurement system, and a measurement program. [Background technology]

[0002] Patent Document 1 describes a deflection measuring device that uses an acceleration sensor attached to a railway bridge, sets the output of the acceleration sensor when the railway bridge is in an unloaded state as the zero point of acceleration, corrects the zero point of acceleration output by the acceleration sensor when the railway bridge is in a loaded state, and, after the zero point correction, suppresses drift and estimates the amount of deflection of the railway bridge by applying double integration, Bayesian estimation, Kalman filter, etc. [Prior art documents] [Patent documents]

[0003] [Patent Document 1] Japanese Patent Application Laid-Open No. 2019-49095 Summary of the Invention [Problem to be solved by the invention]

[0004] However, in FIG. 3C of Patent Document 1, the displacement is higher in the section where the railway bridge is in a loaded state than in the section where it is not loaded. However, it is clear that the expected displacement waveform is one in which the displacement in the section where the railway bridge is in a loaded state is lower than in the section where it is not loaded. This is similar to the result of suppressing the low-frequency signal components of the displacement waveform along with the low-frequency drift components. Therefore, the method of estimating the amount of deflection using the deflection measuring device described in Patent Document 1 suppresses the low-frequency components of the displacement waveform along with the drift, which may make it impossible to accurately estimate the actual displacement amplitude. [Means for solving the problem]

[0005] One aspect of the measurement method according to the present invention is to an acceleration data acquisition step of acquiring acceleration data output from an accelerometer that observes an observation point of the structure when a first moving body moves through the structure; a velocity vibration component calculation step of calculating a first velocity vibration component by integrating and filtering the acceleration based on the acceleration data; and a displacement amplitude estimation step of estimating the amplitude of displacement of the structure when the first moving body moves the structure, based on the first velocity vibration component and a transformation function calculated in advance based on displacement data output from a displacement meter that observes the observation point when a second moving body moves the structure.

[0006] One aspect of the measuring device according to the present invention is an acceleration data acquisition unit that acquires acceleration data output from an accelerometer that observes an observation point of the structure when a first moving body moves through the structure; a velocity vibration component calculation unit that calculates a first velocity vibration component by integrating and filtering the acceleration based on the acceleration data; and a displacement amplitude estimation unit that estimates the amplitude of the displacement of the structure when the first moving body moves the structure, based on the first velocity vibration component and a conversion function calculated in advance based on displacement data output from a displacement meter that observes the observation point when a second moving body moves the structure.

[0007] One aspect of the measurement system according to the present invention is One aspect of the measurement device; the accelerometer; Equipped with.

[0008] One aspect of the measurement program according to the present invention is an acceleration data acquisition step of acquiring acceleration data output from an accelerometer that observes an observation point of the structure when a first moving body moves through the structure; a velocity vibration component calculation step of calculating a first velocity vibration component by integrating and filtering the acceleration based on the acceleration data; and a displacement amplitude estimation step of estimating the amplitude of displacement of the structure when the first moving body moves the structure, based on the first velocity vibration component and a transformation function calculated in advance based on displacement data output from a displacement meter that observes the observation point when a second moving body moves the structure. [Brief explanation of the drawings]

[0009] [Figure 1] FIG. 1 is a diagram showing an example of the configuration of a measurement system. [Figure 2] A cross-sectional view of the superstructure in Figure 1 taken along line AA. [Figure 3] FIG. 4 is an explanatory diagram of acceleration detected by the acceleration sensor; [Figure 4] FIG. 10 is a diagram showing an example of the installation of a displacement meter. [Figure 5] FIG. 10 is a diagram showing another example of the installation of a displacement meter. [Figure 6] FIG. 10 is a diagram showing an example of displacement wu(t). [Figure 7] FIG. 10 is a diagram showing an example of velocity wv(t). [Figure 8] FIG. 10 is a diagram showing an example of a velocity vibration component suv(t). [Figure 9] FIG. 4 is a diagram showing an example of a displacement amplitude Wu. [Figure 10] FIG. 4 is a diagram showing an example of a velocity amplitude Suv. [Figure 11] FIG. 10 is a diagram showing an example of acceleration αa(t). [Figure 12] FIG. 10 is a diagram showing an example of integral velocity va(t). [Figure 13] FIG. 4 is a diagram showing an example of a velocity vibration component sav(t) and a velocity amplitude Sav. [Figure 14] FIG. 3 is a flowchart showing an example of the procedure of the measurement method according to the first embodiment. [Figure 15] FIG. 4 is a flowchart showing an example of the procedure of a conversion function calculation step in the first embodiment. [Figure 16] FIG. 4 is a flowchart showing an example of the procedure of a displacement amplitude estimation step in the first embodiment. [Figure 17] FIG. 1 is a diagram showing an example of the configuration of an accelerometer, a measuring device, and a monitoring device. [Figure 18] 10 is a diagram showing an example of displacements wu(t), wu_lpf(t), and a displacement vibration component wu_hpf(t). [Figure 19] FIG. 10 is a diagram showing an example of the absolute value wu_hpf_abs(t) of wu_hpf(t). [Figure 20] FIG. 10 is a diagram showing an example of an envelope wu_hpf_env(t). [Figure 21] FIG. 10 is a diagram showing an example of displacement amplitude Wu(t). [Figure 22] FIG. 10 is a diagram showing an example of the absolute value suv_abs(t) of the velocity vibration component suv(t). [Figure 23] FIG. 10 is a diagram showing an example of an envelope suv_env(t). [Figure 24] FIG. 10 is a diagram showing the displacement amplitude Wu(t) and the envelope suv_env(t) superimposed on each other. [Figure 25] FIG. 10 is a diagram showing the relationship between the displacement amplitude Wu(t) and the envelope suv_env(t). [Figure 26] FIG. 10 is a diagram showing an example of displacement amplitude west(t). [Figure 27] FIG. 10 is a flowchart showing an example of the procedure of a conversion function calculation step in the second embodiment. [Figure 28] FIG. 11 is a flowchart showing an example of the procedure of a displacement amplitude estimation step in the second embodiment. [Figure 29] FIG. 10 is a diagram showing another example of the configuration of the measurement system. [Figure 30] A cross-sectional view of the superstructure of Figure 29 taken along line AA. DETAILED DESCRIPTION OF THE INVENTION

[0010] Preferred embodiments of the present invention will be described in detail below with reference to the accompanying drawings. Note that the embodiments described below do not unduly limit the content of the present invention as defined in the claims. Furthermore, not all of the configurations described below are necessarily essential components of the present invention.

[0011] 1. First embodiment 1-1. Measurement system configuration The moving object passing over the superstructure of a bridge, which is a structure according to this embodiment, is a heavy vehicle or railcar that can be measured using BWIM. BWIM stands for Bridge Weigh in Motion, and is a technology that measures the weight, number of axles, and other characteristics of moving objects passing over a bridge by treating the bridge as a "scale" and measuring the deformation of the bridge. A bridge superstructure, which can analyze the weight of a passing moving object from responses such as deformation and strain, is a structure in which BWIM functions. A BWIM system that applies the physical process between the action on the bridge superstructure and the response makes it possible to measure the weight of passing moving objects. Below, we will explain a measurement system for implementing the measurement method of this embodiment, taking the moving object as an example, a railcar.

[0012] Fig. 1 is a diagram showing an example of a measurement system according to this embodiment. As shown in Fig. 1, a measurement system 10 according to this embodiment includes a measurement device 1 and at least one accelerometer 2 provided on a superstructure 7 of a bridge 5. The measurement system 10 may also include a monitoring device 3. The measurement system 10 may also include a displacement meter 9, which will be described later.

[0013] The bridge 5 comprises a superstructure 7 and a substructure 8. Figure 2 is a cross-sectional view of the superstructure 7 taken along line AA in Figure 1. As shown in Figures 1 and 2, the superstructure 7 includes a bridge deck 7a consisting of deck plates F, main girders G, and crossbeams (not shown), as well as bearings 7b, rails 7c, sleepers 7d, and ballast 7e. As shown in Figure 1, the substructure 8 includes piers 8a and abutments 8b. The superstructure 7 is a structure spanning either adjacent abutments 8b and piers 8a, two adjacent abutments 8b, or two adjacent piers 8a. Both ends of the superstructure 7 are located at the positions of adjacent abutments 8b and piers 8a, two adjacent abutments 8b, or two adjacent piers 8a.

[0014] When the railway vehicle 6 enters the superstructure 7, the load of the railway vehicle 6 causes the superstructure 7 to deflect, but because the railway vehicle 6 is made up of multiple cars coupled together, the deflection of the superstructure 7 is repeated periodically as each car passes. On the other hand, since the superstructure 7 has a natural vibration frequency as a structure, the natural vibration of the superstructure 7 may be excited when the railway vehicle 6 passes over the superstructure 7. The excitation of the natural vibration of the superstructure 7 causes the deflection of the superstructure 7 to be repeated periodically.

[0015] The measurement device 1 and each accelerometer 2 are connected, for example, by a cable (not shown) and communicate with each other via a communication network such as CAN (Controller Area Network). Alternatively, the measurement device 1 and each accelerometer 2 may communicate with each other via a wireless network.

[0016] Each accelerometer 2 outputs acceleration data used to estimate the amplitude of displacement due to deflection of the superstructure 7 when the railcar 6, which is a moving body, moves on the superstructure 7, which is a structure. The accelerometer 2 may be, for example, an accelerometer using a quartz acceleration sensor or an accelerometer using a MEMS sensor. MEMS stands for Micro Electro Mechanical Systems. It is an abbreviation for Systems.

[0017] In this embodiment, each accelerometer 2 is installed in the longitudinal center of the superstructure 7, specifically, in the longitudinal center of the main girder G. However, each accelerometer 2 only needs to be able to detect acceleration for estimating the amplitude of displacement of the superstructure 7, and its installation position is not limited to the central part of the superstructure 7. If each accelerometer 2 were installed on the deck F of the superstructure 7, there would be a risk of it being destroyed by the running railway vehicle 6, and there would also be a risk that the measurement accuracy would be affected by local deformation of the bridge deck 7a. Therefore, in the example of FIGS. 1 and 2, each accelerometer 2 is installed on the main girder G of the superstructure 7.

[0018] The floor plates F, main girders G, etc. of the superstructure 7 are deflected in the vertical direction due to the load of the railway vehicle 6 passing over the superstructure 7. Each accelerometer 2 detects the acceleration of the deflection of the floor plates F and main girders G due to the load of the railway vehicle 6 passing over the superstructure 7.

[0019] The measurement device 1 estimates the amplitude of displacement of the superstructure 7 when the railway vehicle 6 passes over the superstructure 7, based on the acceleration data output from each accelerometer 2. The measurement device 1 is installed, for example, on an abutment 8b.

[0020] The measuring device 1 and the monitoring device 3 can communicate with each other via a communication network 4, such as a wireless mobile phone network or the Internet. The measuring device 1 transmits measurement data including the amplitude of displacement of the superstructure 7 when the railcar 6 passes over the superstructure 7 to the monitoring device 3. The monitoring device 3 stores the information in a storage device (not shown) and may perform processing such as monitoring the railcar 6 and determining abnormalities in the superstructure 7 based on the information.

[0021] In this embodiment, the bridge 5 is a railway bridge, such as a steel bridge, a girder bridge, or an RC bridge, etc. RC is an abbreviation for Reinforced Concrete.

[0022] As shown in FIG. 2, in this embodiment, an observation point R is set in association with the accelerometer 2. In the example of FIG. 2, the observation point R is set at a position on the surface of the superstructure 7, which is vertically above the accelerometer 2, which is attached to the main girder G. That is, the accelerometer 2 is an observation device that observes the observation point R, detects accelerations that are responses to the actions of multiple parts of the railway vehicle 6 moving on the superstructure 7, which is a structure, on the observation point R, and outputs data including the detected accelerations. For example, each of the multiple parts of the railway vehicle 6 is an axle or a wheel, but hereinafter, it will be assumed that they are axles. The accelerometer 2 may be placed in a position where it can detect the acceleration occurring at the observation point R due to the movement of the railway vehicle 6, but it is preferable that it be placed in a position close to the vertical line of the observation point R.

[0023] The number and installation positions of the accelerometers 2 are not limited to the examples shown in FIGS. 1 and 2, and various modifications are possible.

[0024] Based on the acceleration data output from the accelerometer 2, the measurement device 1 acquires acceleration in a direction intersecting the plane of the superstructure 7 along which the railcar 6 moves. The plane of the superstructure 7 along which the railcar 6 moves is defined by the X direction, which is the direction in which the railcar 6 moves, i.e., the longitudinal direction of the superstructure 7, and the Y direction, which is the width direction of the superstructure 7, which is a direction perpendicular to the direction in which the railcar 6 moves. As the railcar 6 moves, the observation point R bends in directions perpendicular to the X and Y directions. Therefore, in order to accurately calculate the magnitude of the acceleration of the bending, it is desirable for the measurement device 1 to acquire acceleration in the direction perpendicular to the X and Y directions, i.e., the Z direction which is the normal direction of the deck F.

[0025] 3 is a diagram illustrating acceleration detected by the accelerometer 2. The accelerometer 2 detects acceleration occurring in each of three mutually orthogonal axial directions.

[0026] In order to detect the acceleration of the deflection at observation point R due to the movement of the railway vehicle 6, the accelerometer 2 is installed so that one of the three detection axes, the x-axis, y-axis, and z-axis, intersects the X-direction and the Y-direction. In Figures 1 and 2, the accelerometer 2 is installed so that the first axis intersects the X-direction and the Y-direction. Because the observation point R deflects in a direction perpendicular to the X-direction and the Y-direction, in order to accurately detect the acceleration of the deflection, ideally the accelerometer 2 is installed so that the first axis is aligned with the Z-direction perpendicular to the X-direction and the Y-direction, i.e., the normal direction of the floor panel F.

[0027] However, when the accelerometer 2 is installed on the superstructure 7, the installation location may be tilted. Even if the measurement device 1 is installed such that one of the three detection axes of the accelerometer 2 is not aligned with the normal direction of the floor board F, the error is small and can be ignored as long as it is oriented approximately in the normal direction. Furthermore, even if the measurement device 1 is installed such that one of the three detection axes of the accelerometer 2 is not aligned with the normal direction of the floor board F, the measurement device 1 can correct the detection error due to the tilt of the accelerometer 2 by using a three-axis resultant acceleration that is a combination of accelerations on the x-, y-, and z-axes. Furthermore, the accelerometer 2 may be a one-axis accelerometer that detects acceleration occurring in a direction approximately parallel to the vertical direction or acceleration in the normal direction of the floor board F.

[0028] In this embodiment, the measurement device 1 calculates the acceleration data output from the accelerometer 2 when the railway vehicle 6 passes through the superstructure 7, and calculates the acceleration data based on a pre-calculated conversion function f conv and the amplitude of the displacement of the superstructure 7 when the railway vehicle 6 passes through the superstructure 7 is estimated based on the transformation function f conv is a function that represents the relationship between the amplitude of displacement of the superstructure 7 and the amplitude of the velocity vibration component, and is calculated in advance based on the displacement data output from the displacement meter 9 that observes the observation point R. For example, the displacement meter 9 is installed before the accelerometer 2 is installed, and the measurement device 1 calculates the conversion function f based on the displacement data output from the displacement meter 9 when the railway vehicle 6A passes through the superstructure 7. conv Calculate the calculated transformation function f conv The coefficient values ​​of the above are stored in a storage unit (not shown). The railway vehicle 6A may be the same railway vehicle as the railway vehicle 6, or may be a railway vehicle different from the railway vehicle 6. After the displacement meter 9 is removed, the accelerometer 2 is installed on the superstructure 7, and the measurement device 1 calculates the acceleration data output from the accelerometer 2 when the railway vehicle 6 passes through the superstructure 7 and the conversion function f stored in the storage unit. conv Based on this, the amplitude of the displacement of the superstructure 7 is estimated.

[0029] transformation function f convThe displacement meter 9 installed to calculate may be, for example, a ring-type displacement meter, a laser displacement meter, an image measuring device, or a load cell. Fig. 4 shows an example in which a ring-type displacement meter is used as the displacement meter 9. Fig. 5 shows an example in which an image measuring device is used as the displacement meter 9. In Figs. 4 and 5, the same components as in Fig. 1 are given the same reference numerals, and their description will be omitted. In the example of Fig. 4, a piano wire 41 is fixed between the upper surface of the ring-type displacement meter 40 and the lower surface of the main girder G directly above it, and the ring-type displacement meter 40 measures the displacement of the piano wire 41 due to the deflection of the superstructure 7 and transmits the measured displacement data to the measurement device 1. The measurement device 1 calculates a conversion function f based on the displacement data transmitted from the ring-type displacement meter 40. conv In the example of FIG. 5, the camera 50 captures an image of a target 51 attached to the side of the main girder G and transmits it to the measurement device 1. The measurement device 1 processes the image transmitted from the camera 50, calculates the displacement of the target 51 due to the deflection of the superstructure 7, and generates displacement data. Based on the generated displacement data, the measurement device 1 calculates a transformation function f conv 5, the measurement device 1 generates the displacement data as an image measuring device, but an image measuring device (not shown) different from the measurement device 1 may generate the displacement data by image processing.

[0030] The measurement method of this embodiment executed by the measurement system 10 will be described in detail below.

[0031] 1-2. Details of measurement method First, the measurement device 1 calculates the transformation function f conv In order to calculate this, displacement data output from the displacement meter 9 is acquired when the railway vehicle 6A passes through the superstructure 7 of the bridge 5, and the displacement data is calculated as shown in Equation (1). As shown, the displacement w based on the displacement data u Differentiate (t) to find the velocity w v (t) is calculated. u An example of the displacement w (t) in Fig. 6 is shown in Fig. 7. u The velocity w obtained by differentiating (t) v An example of (t) is shown below.

[0032]

number

[0033] Next, the measurement device 1 calculates the velocity w as shown in equation (2). v (t) is high-pass filtered to obtain the velocity vibration component s uv Calculate (t).

[0034]

number

[0035] The high-pass filter processing in equation (2) is, for example, p From t+t p This is done as shown in equation (3). p is the displacement w u The oscillation period of (t) is T, the data time resolution is ΔT, and T / 2ΔT is converted to an integer using the floor function, which is obtained by equation (4). v The velocity vibration component s obtained by high-pass filtering (t) uv (t) is an example. The measurement device 1 detects the velocity w v (t) is band-pass filtered to obtain the velocity vibration component s uv (t) may be calculated.

[0036]

number

[0037]

number

[0038] Next, the measurement device 1 calculates the displacement w as shown in equation (5). u (t) maximum value max{w u (t)} and the minimum value min{w u (t)} is the displacement amplitude W u Figure 9 shows the displacement w uDisplacement amplitude W calculated from (t) u As shown in FIG. 9, the displacement w of the railcar 6A before and after it enters and leaves the superstructure 7 is u The vibration waveform of (t) is a waveform influenced by the vibration when the railway vehicle 6A passes through the superstructure 7 and another adjacent superstructure 7, and is not a displacement waveform caused by the load of the railway vehicle 6A. Therefore, in order to exclude this, the maximum value max{w u (t)} is set to 0.

[0039]

number

[0040] Furthermore, the measuring device 1 calculates the velocity vibration component s as shown in equation (6). uv (t) maximum value max{s uv (t)} and the minimum value min{s uv (t)} is the velocity amplitude S uv The velocity vibration component s in Figure 8 is calculated as follows. uv The velocity amplitude S calculated from (t) uv An example is shown below.

[0041]

number

[0042] The measuring device 1 then measures the displacement amplitude W u and velocity amplitude S uv Using the transformation function f conv For example, the measurement device 1 calculates the conversion function f conv is a linear function, and the displacement amplitude W u and velocity amplitude S uv The ratio of the transformation function f conv The first coefficient of R uv For example, the conversion function f conv The zeroth coefficient of is set to 0.

[0043]

number

[0044] Here, the measurement by the displacement meter 9 and the conversion function f conv After the calculation of is completed, the displacement meter 9 that was temporarily installed is removed. Furthermore, the accelerometer 2 is installed on the superstructure 7 of the bridge 5, and the accelerometer 2 detects the acceleration when the railway vehicle 6 passes over the superstructure 7.

[0045] First, the measurement device 1 acquires acceleration data output from the accelerometer 2 and calculates an acceleration α a Integrate (t) to get the integral velocity v a As shown in equation (8), the measurement device 1 sets the time t=0 as the bias correction time point, and calculates the subsequent acceleration α a Integrate (t) to get the integral velocity v a (t) is calculated. a 11. In addition, FIG. 12 shows an example of the acceleration α a The integral velocity v calculated by integrating (t) a An example of (t) is shown below.

[0046]

number

[0047] Next, the measurement device 1 calculates the integral velocity v as shown in equation (9). a (t) is high-pass filtered to obtain the velocity vibration component s av (t). The measurement device 1 calculates the integral velocity v a (t) is band-pass filtered to obtain the velocity vibration component s av (t) may be calculated.

[0048]

number

[0049] Next, the measuring device 1 calculates the velocity vibration component s as shown in equation (10). av (t) maximum value max{s av (t)} and the minimum value min{sav (t)} is the velocity amplitude S av The integral velocity v in Figure 12 is calculated as a The velocity vibration component s obtained by high-pass filtering (t) av (t) and velocity vibration component s av The velocity amplitude S calculated from (t) av An example is shown below.

[0050]

number

[0051] Then, the measuring device 1 calculates the velocity amplitude S as shown in Equation (11). av and the transformation function f conv Using the above, the displacement amplitude w of the superstructure 7 when the railway vehicle 6 passes through the superstructure 7 of the bridge 5 is calculated. est Estimate.

[0052]

number

[0053] 1-3. Measurement procedure 14 is a flow chart showing an example of the procedure of the measurement method according to the first embodiment. In this embodiment, the measurement device 1 of the measurement system 10 executes the procedure shown in FIG.

[0054] As shown in FIG. 14, first, in a state where a displacement meter 9 is installed to observe an observation point R, in a conversion function calculation step S10, the measurement device 1 calculates a conversion function f based on the displacement data output from the displacement meter 9 when the railway vehicle 6A moves across the superstructure 7 of the bridge 5. conv The railcar 6A is an example of the second moving body. An example of the procedure of the conversion function calculation step S10 will be described later.

[0055] Next, with the displacement meter 9 removed and the accelerometer 2 observing the observation point R installed, in the acceleration data acquisition step S20, the measuring device 1 acquires acceleration data output from the accelerometer 2 when the railway vehicle 6 moves across the superstructure 7 of the bridge 5. The railway vehicle 6 is an example of a first moving body.

[0056] Next, in the velocity vibration component calculation step S30, the measurement device 1 calculates the acceleration α based on the acceleration data acquired in step S20, as in the above-mentioned formulas (8) and (9). a (t) is integrated and filtered to obtain the velocity vibration component s av (t) is calculated. For example, the filtering process may be a high-pass filtering process or a band-pass filtering process. av (t) is an example of the first velocity vibration component.

[0057] Next, in the displacement amplitude estimation step S40, the measurement device 1 estimates the velocity vibration component s calculated in step S30 as in the above-mentioned formulas (10) and (11). av (t) and the transformation function f calculated in advance in step S10 conv Based on this, the displacement amplitude w is the amplitude of the displacement of the superstructure 7 when the railway vehicle 6 moves on the superstructure 7 of the bridge 5. est An example of the procedure of the displacement amplitude estimation step S40 will be described later.

[0058] Next, in the measurement data output step S50, the measurement device 1 outputs the displacement amplitude w calculated in step S40. est to the monitoring device 3. Specifically, the measuring device 1 transmits the measurement data to the monitoring device 3 via the communication network 4. The measurement data includes the displacement amplitude w est In addition to the velocity vibration component s av (t), velocity amplitude S av etc. may be included.

[0059] Then, the measuring device 1 repeats the processes of steps S20 to S50 until the measurement is completed in step S60.

[0060] FIG. 15 is a flowchart showing an example of the procedure of the conversion function calculation step S10 in FIG.

[0061] As shown in FIG. 15, first, in step S101, the measurement device 1 acquires displacement data output from the displacement meter 9 when the railway vehicle 6A moves across the superstructure 7 of the bridge 5.

[0062] Next, in step S102, the measurement device 1 calculates the displacement w based on the displacement data acquired in step S101, as in the above-mentioned formulas (1) and (2). u (t) is differentiated and filtered to obtain the velocity vibration component s uv (t) is calculated. uv (t) is an example of the second velocity vibration component.

[0063] Finally, in step S103, the measurement device 1 calculates the above-mentioned formulas (5), (6) and (7). ), the transformation function f conv and the displacement w based on the displacement data acquired in step S101. u The displacement amplitude W is the amplitude of (t) u and the velocity vibration component s calculated in step S102 uv The velocity amplitude S is the amplitude of (t) uv Calculate the function that expresses the relationship between the displacement amplitude W u is the displacement w u (t) maximum value max{w u (t)} and the minimum value min{w u (t)}, and the velocity amplitude S uv is the velocity vibration component s uv (t) maximum value max{s uv (t)} and the minimum value min{s uv (t)}.

[0064] FIG. 16 is a flowchart showing an example of the procedure of the displacement amplitude estimation step S40 in FIG.

[0065] As shown in FIG. 16, first, in step S401, the measurement device 1 calculates the velocity vibration component sav The velocity amplitude S is the amplitude of (t) av Calculate the velocity amplitude S av is the velocity vibration component s av (t) maximum value max{s av (t)} and the minimum value min{s av (t)}.

[0066] Then, in step S402, the measurement device 1 calculates the velocity amplitude S calculated in step S401 as in the above-mentioned formula (11). av Transform function f conv Substituting into the displacement amplitude of the superstructure 7, the displacement amplitude w est Calculate.

[0067] 1-4. Configuration of accelerometers, measuring devices, and monitoring devices FIG. 17 is a diagram showing an example of the configuration of the accelerometer 2, the measuring device 1, and the monitoring device 3.

[0068] As shown in FIG. 17, the accelerometer 2 includes a communication unit 21, an acceleration sensor 22, a processor 23, and a storage unit 24.

[0069] The storage unit 24 is a memory that stores various programs, data, etc. for the processor 23 to perform calculation processing and control processing. The storage unit 24 also stores programs, data, etc. for the processor 23 to realize predetermined application functions.

[0070] The acceleration sensor 22 detects acceleration occurring in each of the three axial directions.

[0071] The processor 23 controls the acceleration sensor 22 by executing the observation program 241 stored in the memory unit 24, generates acceleration data 242 based on the acceleration detected by the acceleration sensor 22, and stores the generated acceleration data 242 in the memory unit 24.

[0072] The communication unit 21 transmits the acceleration data 242 stored in the storage unit 24 to the measurement device 1 under the control of the processor 23 .

[0073] As shown in FIG. 17, the measurement device 1 includes a first communication unit 11, a second communication unit 12, a storage unit 13, and a processor .

[0074] The first communication unit 11 receives displacement data from the displacement meter 9 and outputs the received displacement data to the processor 14 .

[0075] After the displacement meter 9 is removed and the accelerometer 2 is installed, the first communication unit 11 receives the acceleration data 242 from the accelerometer 2 and outputs the received acceleration data 242 to the processor 14.

[0076] The storage unit 13 is a memory that stores programs, data, etc. for the processor 14 to perform calculation processing and control processing. The storage unit 13 stores various programs, data, etc. for realizing application functions. The processor 14 may also receive various programs, data, etc. via the communication network 4 and store them in the storage unit 13.

[0077] The processor 14 calculates a transformation function f based on the displacement data received by the first communication unit 11. conv is calculated and stored in the storage unit 13 as the conversion function data 132. The conversion function data 132 is, for example, a conversion function f conv The data is for each coefficient value.

[0078] In addition, the processor 14 generates measurement data 134 based on the acceleration data 242 received by the first communication unit 11 and the conversion function data 132 stored in the memory unit 13, and stores the generated measurement data 134 in the memory unit 13.

[0079] In this embodiment, the processor 14 executes the measurement program 131 stored in the storage unit 13, thereby functioning as a conversion function calculation unit 141, an acceleration data acquisition unit 142, a velocity vibration component calculation unit 143, a displacement amplitude estimation unit 144, and a measurement data output unit 145. That is, the processor 14 includes the conversion function calculation unit 141, the acceleration data acquisition unit 142, the velocity vibration component calculation unit 143, the displacement amplitude estimation unit 144, and the measurement data output unit 145.

[0080] The conversion function calculation unit 141 acquires the displacement data received by the first communication unit 11, and calculates a conversion function f conv Specifically, the conversion function calculation unit 141 acquires displacement data output from the displacement meter 9 when the railway vehicle 6A moves across the superstructure 7 of the bridge 5, and calculates the displacement w based on the acquired displacement data as in the above-mentioned formulas (1) and (2). u (t) is differentiated and filtered to obtain the velocity vibration component s uv (t) is calculated, and the conversion function f is used as in the above equations (5), (6), and (7). conv Based on the acquired displacement data, the displacement w u The displacement amplitude W is the amplitude of (t) u The calculated velocity vibration component s uv The velocity amplitude S is the amplitude of (t) uv Then, the conversion function calculation unit 141 calculates a function that expresses the relationship between the calculated conversion function f conv The data of each coefficient value is stored in the storage unit 13 as the conversion function data 132. That is, the conversion function calculation unit 141 performs the process of the conversion function calculation step S10 in Fig. 14, specifically the processes of steps S101, S102, and S103 in Fig. 15.

[0081] The acceleration data acquisition unit 142 acquires acceleration data output from the accelerometer 2 when the railway vehicle 6 moves over the superstructure 7 of the bridge 5. Specifically, the acceleration data acquisition unit 142 acquires the acceleration data 242 received by the first communication unit 11, and stores the acceleration data 242 in the memory unit 13 as acceleration data 133. That is, the acceleration data acquisition unit 142 performs the process of the acceleration data acquisition step S20 in FIG. 14 .

[0082] The velocity vibration component calculation unit 143 calculates the acceleration α based on the acceleration data acquired by the acceleration data acquisition unit 142. a (t) is integrated and filtered to obtain the velocity vibration component s av Specifically, the velocity vibration component calculation unit 143 reads out the acceleration data 133 stored in the storage unit 13, and calculates the velocity vibration component s av That is, the velocity vibration component calculation unit 143 performs the process of velocity vibration component calculation step S30 in FIG.

[0083] The displacement amplitude estimation unit 144 estimates the velocity vibration component s calculated by the velocity vibration component calculation unit 143. av (t) and the conversion function f calculated in advance by the conversion function calculation unit 141. conv Based on this, the displacement amplitude w is the amplitude of the displacement of the superstructure 7 when the railway vehicle 6 moves on the superstructure 7 of the bridge 5. est Specifically, the displacement amplitude estimation unit 144 estimates the velocity amplitude S av As the velocity vibration component s av (t) maximum value max{s av (t)} and the minimum value min{s av (t)}. Then, the displacement amplitude estimation unit 144 reads out the conversion function data 132 stored in the storage unit 13, and converts the calculated velocity amplitude S av Transform function f conv Substituting into the displacement amplitude w est That is, the displacement amplitude estimation unit 144 performs the processing of the displacement amplitude estimation step S40 in Fig. 14, specifically the processing of steps S401 and S402 in Fig. 16.

[0084] Displacement amplitude w est is stored in the storage unit 13 as at least a part of the measurement data 134. The measurement data 134 includes the displacement amplitude w est In addition to the velocity vibration component s av (t), velocity amplitude S avetc. may be included.

[0085] The measurement data output unit 145 reads out the measurement data 134 stored in the storage unit 13 and outputs the measurement data 134 to the monitoring device 3. Specifically, under the control of the measurement data output unit 145, the second communication unit 12 transmits the measurement data 134 stored in the storage unit 13 to the monitoring device 3 via the communication network 4. That is, the measurement data output unit 145 performs the processing of the measurement data output step S50 in FIG. 14 .

[0086] In this way, the measurement program 131 is a program that causes the measurement device 1, which is a computer, to execute each procedure of the flowchart shown in FIG.

[0087] As shown in FIG. 17, the monitoring device 3 includes a communication unit 31, a processor 32, a display unit 33, an operation unit 34, and a storage unit 35.

[0088] The communication unit 31 receives the measurement data 134 from the measurement device 1 and outputs the received measurement data 134 to the processor 32 .

[0089] The display unit 33 displays various types of information under the control of the processor 32. The display unit 33 may be, for example, a liquid crystal display or an organic EL display. EL is an abbreviation for Electro Luminescence.

[0090] The operation unit 34 outputs operation data corresponding to an operation by the user to the processor 32. The operation unit 34 may be, for example, an input device such as a mouse, a keyboard, or a microphone.

[0091] The storage unit 35 is a memory that stores various programs, data, etc. for the processor 32 to perform calculation processing and control processing. The storage unit 35 also stores programs, data, etc. for the processor 32 to realize predetermined application functions.

[0092] The processor 32 acquires the measurement data 134 received by the communication unit 31, and calculates the displacement amplitude w of the superstructure 7 based on the acquired measurement data 134. est The change over time in the evaluation result is evaluated to generate evaluation information, and the generated evaluation information is displayed on the display unit 33.

[0093] In this embodiment, the processor 32 functions as a measurement data acquisition unit 321 and a monitoring unit 322 by executing a monitoring program 351 stored in the storage unit 35. That is, the processor 32 includes the measurement data acquisition unit 321 and the monitoring unit 322.

[0094] The measurement data acquisition unit 321 acquires the measurement data 134 received by the communication unit 31, and adds the acquired measurement data 134 to the measurement data sequence 352 stored in the storage unit 35.

[0095] The monitoring unit 322 statistically calculates the displacement amplitude w of the superstructure 7 based on the measurement data sequence 352 stored in the memory unit 35. est The monitor 322 then generates evaluation information indicating the evaluation results and displays the generated evaluation information on the display 33. The condition of the superstructure 7 can be monitored based on the evaluation information displayed on the display unit 33.

[0096] The monitoring unit 322 may perform processes such as monitoring the railway vehicle 6 and determining abnormalities in the superstructure 7 based on the measurement data sequence 352 stored in the storage unit 35.

[0097] Furthermore, processor 32 transmits information for adjusting the operating conditions of measuring device 1 and accelerometer 2 to measuring device 1 via communication unit 31 based on operation data output from operation unit 34. The operating conditions of measuring device 1 are adjusted based on the information received via second communication unit 12. Furthermore, measuring device 1 transmits information for adjusting the operating conditions of accelerometer 2 received via second communication unit 12 to accelerometer 2 via first communication unit 11. The operating conditions of accelerometer 2 are adjusted based on the information received via communication unit 21.

[0098] The functions of the processors 14, 23, and 32 may be implemented by individual hardware components, or may be implemented by integrated hardware components. For example, the processors 14, 23, and 32 may include hardware components, which may include at least one of a circuit for processing digital signals and a circuit for processing analog signals. The processors 14, 23, and 32 may be a CPU, a GPU, a DSP, or the like. CPU stands for Central Processing Unit, GPU stands for Graphics Processing Unit, and DSP stands for Digital Signal Processor. The processors 14, 23, and 32 may be configured as custom ICs, such as ASICs, to implement the functions of the respective components, or may be implemented by a CPU and an ASIC. ASIC stands for Application Specific Integrated Circuit, and IC stands for Integrated Circuit.

[0099] The storage units 13, 24, and 35 are configured by, for example, various types of IC memory such as ROM, flash ROM, and RAM, as well as recording media such as hard disks and memory cards. ROM stands for Read Only Memory, RAM stands for Random Access Memory, and IC stands for Integrated Circuit. The storage units 13, 24, and 35 include non-volatile information storage devices that are computer-readable devices or media, and various programs, data, and the like may be stored in the information storage devices. The information storage devices may be optical disks such as DVDs and CDs, hard disk drives, or various types of memory such as card-type memories and ROMs.

[0100] 17 shows only one accelerometer 2, multiple accelerometers 2 may each generate acceleration data 242 and transmit it to the measuring device 1. In this case, the measuring device 1 receives the multiple acceleration data 242 transmitted from the multiple accelerometers 2, generates multiple measurement data 134, and transmits it to the monitoring device 3. The monitoring device 3 also receives the multiple measurement data 134 transmitted from the measuring device 1, and monitors the states of the multiple superstructures 7 based on the received multiple measurement data 134.

[0101] 1-5.Effects In the measurement method of the first embodiment described above, the displacement meter 9 directly measures the displacement of the superstructure 7 of the bridge 5, so the displacement w based on the displacement data output from the displacement meter 9 u Since no drift occurs in (t), the transformation function f conv has a relatively high conversion accuracy. Specifically, the measurement device 1 uses the conversion function f conv The displacement w measured with high precision by the displacement meter 9 is u The displacement amplitude W is the amplitude of (t) u and displacement w u The high-precision velocity vibration component s obtained by differentiating and filtering (t) uv The velocity amplitude S is the amplitude of (t) uv Since the function that expresses the relationship between conv The measurement device 1 also measures the acceleration output from the accelerometer 2 when the railway vehicle 6 moves on the superstructure 7. Acceleration α based on degree data a (t) is integrated and filtered to obtain the velocity vibration component s av (t), the velocity vibration component s av The drift included in (t) is reduced. Then, the measurement device 1 measures the velocity vibration component s av (t) and the transformation function f conv Based on this, the displacement amplitude w of the superstructure 7 when the railway vehicle 6 moves on the superstructure 7 is est Since the acceleration α aTherefore, according to the measurement method of the first embodiment, the measurement device 1 can obtain the velocity vibration component s with reduced drift. av (t) and a highly accurate transformation function f conv Based on this, the displacement amplitude w of the superstructure 7 when the railway vehicle 6 moves on the superstructure 7 is est can be estimated with high accuracy.

[0102] In the measurement method of the first embodiment, the measurement device 1 measures the acceleration α a Since the influence of a large drift caused by integrating (t) twice does not occur, a correction process for the drift is not required. a (t) is integrated and filtered to obtain the velocity vibration component s av (t) and calculate the velocity vibration component s av The velocity amplitude S, which is the difference between the maximum and minimum values ​​of (t), av Calculate the velocity amplitude S av Transform function f conv By simple calculation, instead of the displacement waveform of the superstructure 7 when the railway vehicle 6 moves on the superstructure 7, the simpler displacement amplitude w est Therefore, according to the measurement method of the first embodiment, the measurement device 1 estimates the displacement amplitude w est The amount of calculation required to estimate is small, and it is possible to achieve high-speed estimation processing at low cost.

[0103] Furthermore, according to the measurement method of the first embodiment, the measurement device 1 measures the displacement w u The displacement amplitude W is the difference between the maximum and minimum values ​​of (t) u Calculate the velocity vibration component s uv The velocity amplitude S, which is the difference between the maximum and minimum values ​​of (t), uv By calculating the displacement amplitude W u and velocity amplitude S uv Furthermore, according to the measurement method of the first embodiment, the measurement device 1 can calculate the displacement amplitude W u and velocity amplitude S uv By using the maximum amplitude with a high S / N ratio, a highly accurate conversion function fconv can be calculated.

[0104] Furthermore, according to the measurement method of the first embodiment, the measurement device 1 measures the displacement amplitude w est In order to estimate the above, the accelerometer 2 is used, which has a higher degree of freedom in installation and can be easily installed than the displacement meter 9 or the strain meter, and therefore the cost of the measurement system 10 can be reduced.

[0105] 2. Second embodiment In the following, the second embodiment will be described mainly with respect to the differences from the first embodiment, with the same components as those in the first embodiment being given the same reference numerals and explanations that overlap with those in the first embodiment being omitted or simplified.

[0106] Since the displacement data output from the displacement meter 9 is superimposed with response fluctuations and noise, in the second embodiment, the measurement device 1 uses a conversion function f for estimating the amplitude waveform of the displacement in order to improve the estimation accuracy of the displacement of the upper structure 7. conv Calculate.

[0107] Specifically, first, the measurement device 1 calculates the displacement w based on the displacement data output from the displacement meter 9 as shown in Equation (12). u (t) is low-pass filtered to obtain the displacement w u_lpf Calculate (t).

[0108]

number

[0109] Next, the measurement device 1 calculates the displacement w as shown in equation (13). u (t) is processed by a high-pass filter to obtain the displacement vibration component w u_hpf (t) is calculated. u (t),w u_l pf (t) and displacement vibration component w u_hpf An example of (t) is shown below.

[0110]

number

[0111] Next, the measurement device 1 calculates the displacement vibration component w as shown in Equation (14). u_hpf Absolute value of (t) w u_hpf_abs (t) is low-pass filtered to obtain the envelope w u_hpf_env (t) is calculated. u_hpf Absolute value of (t) w u_hpf_abs 20 shows an example of the absolute value w u_hpf_abs The envelope w obtained by low-pass filtering (t) u_hpf_env An example of (t) is shown below.

[0112]

number

[0113] Next, the measurement device 1 calculates the envelope w as shown in equation (15). u_hpf_env (t) and displacement w u_lpf From (t), the displacement amplitude W u (t) is calculated. u_hpf_env (t) and w in Figure 18 u_lpf The displacement amplitude W calculated from (t) using equation (15) u An example of (t) is shown below.

[0114]

number

[0115] Next, the measurement device 1 calculates the velocity vibration component s , calculated by the above-mentioned equations (1) and (2), as shown in equation (16). uv Absolute value of (t) s uv_abs (t) is low-pass filtered to obtain the envelope s uv_env (t) is calculated. uv Absolute value of (t) s uv_abs An example of the velocity vibration component s(t) in FIG. uv Absolute value of (t) s uv_absThe envelope s obtained by low-pass filtering (t) uv_env An example of (t) is shown below.

[0116]

number

[0117] Next, the measurement device 1 measures the displacement amplitude W u (t) and envelope s uv_env (t) from the transformation function f conv Calculate.

[0118] Specifically, first, the displacement amplitude W u (t) and envelope s uv_env The relationship with (t) is assumed to be as shown in equation (17).

[0119]

number

[0120] Then, the measurement device 1 calculates the displacement amplitude W shown in equation (18) as in equations (19) and (20). u (t) and envelope s uv_env (t) is the coefficient R that minimizes the error e(t). uv ,R0 is calculated using the least squares method.

[0121]

number

[0122]

number

[0123]

number

[0124] Figure 24 shows the displacement amplitude W u (t) and the envelope s in Figure 23 uv_env24. Also, Fig. 25 shows the displacement amplitude W u (t) and envelope s uv_env In the example of Figure 25, the coefficient R uv is 0.1915 and the coefficient R0 is -0.0254.

[0125] For example, the measurement device 1 uses a transformation function f conv is a linear function, and the coefficient R calculated by equation (19) uv Transform function f conv The coefficient R0 calculated by equation (20) is used as the first coefficient of the conversion function f conv is the zeroth coefficient of

[0126] Here, the measurement by the displacement meter 9 and the conversion function f conv After the calculation of is completed, the displacement meter 9 that was temporarily installed is removed. Furthermore, the accelerometer 2 is installed on the superstructure 7 of the bridge 5, and the accelerometer 2 detects the acceleration when the railway vehicle 6 passes over the superstructure 7.

[0127] First, the measurement device 1 acquires acceleration data output from the accelerometer 2, and calculates the acceleration α based on the acceleration data as shown in the above equation (8). a Integrate (t) to get the integral velocity v a Calculate (t).

[0128] Furthermore, the measurement device 1 calculates the integral velocity v as shown in the above equation (9). a (t) is high-pass filtered to obtain the velocity vibration component s av (t). The measurement device 1 calculates the integral velocity v a (t) is band-pass filtered to obtain the velocity vibration component s av (t) may be calculated.

[0129] Then, the measuring device 1 calculates the velocity vibration component s as shown in equation (21). av (t) and the transformation function f conv Using the above, the displacement amplitude w of the superstructure 7 when the railway vehicle 6 passes through the superstructure 7 of the bridge 5 is calculated. est (t) is estimated. Figure 26 shows the displacement amplitude w est26 shows an example of the displacement waveform (t). In FIG. 26, the dashed line is a displacement waveform for comparison.

[0130]

number

[0131] The procedure of the measurement method of the second embodiment is the same as the procedure of the measurement method of the first embodiment shown in Fig. 14, and therefore the flowchart is omitted. In the second embodiment, the procedure of the conversion function calculation step S10 and the procedure of the displacement amplitude estimation step S40 in Fig. 14 are different from those of the first embodiment.

[0132] FIG. 27 is a flowchart showing an example of the procedure of the conversion function calculation step S10 in FIG. 14 in the second embodiment.

[0133] 27, first, in step S111, the measurement device 1 acquires displacement data output from the displacement meter 9 when the railway vehicle 6A moves across the superstructure 7 of the bridge 5. The railway vehicle 6A is an example of a second moving body.

[0134] Next, in step S112, the measurement device 1 calculates the displacement w based on the displacement data acquired in step S111, as in the above-mentioned equations (12) and (13). u (t) is filtered to obtain the displacement vibration component w u_hpf For example, the filtering process may be a high-pass filtering process or a band-pass filtering process.

[0135] Next, in step S113, the measurement device 1 calculates the displacement vibration component w calculated in step S112 as in the above-mentioned equation (14). u_hpf Absolute value of (t) w u_hpf_abs (t) is low-pass filtered to obtain the envelope w u_hpf_env (t) is calculated. u_hpf_env (t) is an example of the first envelope.

[0136] Next, in step S114, the measurement device 1 calculates the displacement w based on the displacement data acquired in step S111, as in the above-mentioned equation (15). u (t) is the displacement w u_lpf (t) The envelope w calculated in step S113 u_hpf_env (t) is subtracted to obtain the amplitude W of the displacement of the superstructure 7 when the railway vehicle 6A moves on the superstructure 7 of the bridge 5. u Calculate (t).

[0137] Next, in step S115, the measurement device 1 calculates the displacement w based on the displacement data acquired in step S111, as in the above-mentioned formulas (1) and (2). u (t) is differentiated and filtered to obtain the velocity vibration component s uv (t) is calculated. uv (t) is an example of the second velocity vibration component.

[0138] Next, in step S116, the measurement device 1 calculates the velocity vibration component s calculated in step S115 as in the above-mentioned equation (16). uv Absolute value of (t) s uv_abs (t) is low-pass filtered to obtain the envelope s uv_env (t) is calculated. uv_env (t) is an example of the second envelope.

[0139] Finally, in step S117, the measurement device 1 calculates the conversion function f conv The amplitude W of the displacement of the superstructure 7 calculated in step S114 is u (t) and the envelope s calculated in step S116 uv_env Calculate the function that expresses the relationship with (t).

[0140] FIG. 28 is a flowchart showing an example of the procedure of the displacement amplitude estimation step S40 in FIG. 14 according to the second embodiment.

[0141] As shown in FIG. 28, in step S411, the measurement device 1 calculates the velocity vibration component s calculated in the velocity vibration component calculation step S30 in FIG. 14 as in the above-mentioned equation (21).av (t) is transformed into a function f conv Substituting into the displacement amplitude of the superstructure 7, the displacement amplitude w est Calculate (t).

[0142] The configurations of the accelerometer 2, the measuring device 1, and the monitoring device 3 in the second embodiment are the same as those in Fig. 17, and therefore are not shown in the figure. In the second embodiment, the function of the processor 14 of the measuring device 1 is different from that in the first embodiment.

[0143] In the measurement device 1 of the second embodiment, similarly to the first embodiment, the processor 14 executes the measurement program 131 stored in the storage unit 13 to calculate the conversion function. 1, functions as an acceleration data acquisition unit 142, a velocity vibration component calculation unit 143, a displacement amplitude estimation unit 144, and a measurement data output unit 145. That is, the processor 14 includes a conversion function calculation unit 141, an acceleration data acquisition unit 142, a velocity vibration component calculation unit 143, a displacement amplitude estimation unit 144, and a measurement data output unit 145.

[0144] The functions of the acceleration data acquisition unit 142, velocity vibration component calculation unit 143, and measurement data output unit 145 are the same as those in the first embodiment, and therefore description thereof will be omitted. Note that in the second embodiment as well, the acceleration data acquisition unit 142 performs the process of acceleration data acquisition step S20 in Fig. 14. Furthermore, the velocity vibration component calculation unit 143 performs the process of velocity vibration component calculation step S30 in Fig. 14. Furthermore, the measurement data output unit 145 performs the process of measurement data output step S50 in Fig. 14.

[0145] The conversion function calculation unit 141 acquires the displacement data received by the first communication unit 11, and calculates a conversion function f conv Specifically, the conversion function calculation unit 141 acquires displacement data output from the displacement meter 9 when the railway vehicle 6A moves across the superstructure 7 of the bridge 5, and calculates the displacement w based on the acquired displacement data as in the above-mentioned equations (12) and (13). u (t) is filtered to obtain the displacement vibration component w u_hpf(t) is calculated, and the calculated displacement vibration component w is u_hpf Absolute value of (t) w u_hpf_abs (t) is low-pass filtered to obtain the envelope w u_hpf_env Furthermore, the conversion function calculation unit 141 calculates the displacement w u (t) is the displacement w u_lpf (t) to envelope w u_hpf_env (t) is subtracted to obtain the amplitude W of the displacement of the superstructure 7 when the railway vehicle 6A moves on the superstructure 7 of the bridge 5. u Furthermore, the conversion function calculation unit 141 calculates the displacement w u (t) is differentiated and filtered to obtain the velocity vibration component s uv (t) and calculate the velocity vibration component s uv Absolute value of (t) s uv_abs (t) is low-pass filtered to obtain the envelope s uv_env Then, the conversion function calculation unit 141 calculates the conversion function f conv The calculated amplitude of displacement of the superstructure 7 is W u (t) and the calculated envelope s uv_env (t) and calculate the conversion function f conv The data of each coefficient value is stored in the storage unit 13 as the conversion function data 132. That is, the conversion function calculation unit 141 performs the process of the conversion function calculation step S10 in Fig. 14, specifically the process of steps S111 to S117 in Fig. 27.

[0146] The displacement amplitude estimation unit 144 estimates the velocity vibration component s calculated by the velocity vibration component calculation unit 143. av (t) and the conversion function f calculated in advance by the conversion function calculation unit 141. conv Based on this, the displacement amplitude w is the amplitude of the displacement of the superstructure 7 when the railway vehicle 6 moves on the superstructure 7 of the bridge 5. est Specifically, the displacement amplitude estimation unit 144 estimates the velocity vibration component s av (t) is transformed into a function f convSubstituting into the displacement amplitude of the superstructure 7, the displacement amplitude w est 28. That is, the displacement amplitude estimation unit 144 performs the processing of the displacement amplitude estimation step S40 in FIG.

[0147] Displacement amplitude w est (t) is stored in the storage unit 13 as at least a part of the measurement data 134. The measurement data 134 includes the displacement amplitude w est In addition to (t), the velocity vibration component s av (t) etc. may also be included.

[0148] Other configurations of the measurement device 1 in the second embodiment are the same as those in the first embodiment, and therefore description thereof will be omitted.

[0149] In the measurement method of the second embodiment described above, the measurement device 1 measures the displacement measured by the displacement meter 9. w u Based on (t), the displacement vibration component w u_hpf The envelope of (t) w u_hpf_env (t) and velocity vibration component s uv (t) envelope s uv_env (t) and calculate the envelope w u_hpf_env (t) and envelope s uv_env (t) and the transformation function f conv Since the displacement w u A more accurate transformation function f that reduces the influence of fluctuations and noise in (t) conv The measurement device 1 also obtains an acceleration α based on the acceleration data output from the accelerometer 2 when the railway vehicle 6 moves on the superstructure 7. a (t) is integrated and filtered to obtain the velocity vibration component s av (t), the velocity vibration component s av The drift included in (t) is reduced. Then, the measurement device 1 measures the velocity vibration component s av (t) and the transformation function f conv Based on this, the displacement amplitude w of the superstructure 7 when the railway vehicle 6 moves on the superstructure 7 is est (t) is estimated, and the acceleration αa Therefore, according to the measurement method of the second embodiment, the measurement device 1 can obtain the velocity vibration component s with reduced drift. av (t) and a highly accurate transformation function f conv Based on this, the displacement amplitude w of the superstructure 7 when the railway vehicle 6 moves on the superstructure 7 is est (t) can be estimated with high accuracy.

[0150] In the measurement method of the second embodiment, the measurement device 1 measures the acceleration α a Since the influence of a large drift caused by integrating (t) twice does not occur, a correction process for the drift is not required. a (t) is integrated and filtered to obtain the velocity vibration component s av (t) and calculate the velocity vibration component s av (t) is transformed into a function f conv By simple calculation, instead of the displacement waveform of the superstructure 7 when the railway vehicle 6 moves on the superstructure 7, the simpler displacement amplitude w est Therefore, according to the measurement method of the second embodiment, the measurement device 1 estimates the displacement amplitude w est The amount of calculation required to estimate (t) is small, making it possible to speed up the estimation process and reduce costs.

[0151] Furthermore, according to the measurement method of the second embodiment, the measurement device 1 measures the displacement amplitude w est To estimate (t), the accelerometer 2 is used, which has a higher degree of freedom in installation than the displacement meter 9 or strain meter and can be easily installed, so the cost of the measurement system 10 can be reduced.

[0152] 3. Variations The present invention is not limited to the present embodiment, and various modifications are possible within the scope of the present invention.

[0153] In each of the above embodiments, the measurement device 1 includes the conversion function calculation unit 141 and executes the conversion function calculation step S10. However, a device (not shown) different from the measurement device 1 or the monitoring device 3 may include the conversion function calculation unit 141 and execute the conversion function calculation step S10. In this case, the measurement device 1 receives the conversion function f from the device (not shown) or the monitoring device 3. conv After obtaining the coefficient value data of the above, and storing the obtained data in the storage unit 13 as the conversion function data 132, the acceleration data obtaining step S20 and subsequent steps may be executed.

[0154] In each of the above embodiments, the conversion function f conv was explained as a linear function, but the transformation function f conv may be a quadratic or higher order function.

[0155] Furthermore, in each of the above embodiments, the bridge 5 is a railway bridge, and the moving body moving on the bridge 5 is a railway vehicle 6, but the bridge 5 may also be a road bridge, and the moving body moving on the bridge 5 may be a vehicle such as an automobile, a tram, a truck, or a construction vehicle. Fig. 29 shows an example of the configuration of the measurement system 10 when the bridge 5 is a road bridge and a vehicle 6a moves on the bridge 5. In Fig. 29, the same components as in Fig. 1 are assigned the same reference numerals. As shown in Fig. 29, the bridge 5, which is a road bridge, is composed of a superstructure 7 and a substructure 8, just like a railway bridge. Fig. 30 is a cross-sectional view of the superstructure 7 taken along line AA in Fig. 29. As shown in Figs. 29 and 30, the superstructure 7 includes a bridge deck 7a composed of deck plates F, main girders G, cross beams (not shown), etc., and a bearing 7b. Furthermore, As shown, the substructure 8 includes a pier 8a and an abutment 8b. The superstructure 7 is a structure that spans either adjacent abutments 8b and piers 8a, two adjacent abutments 8b, or two adjacent piers 8a. Both ends of the superstructure 7 are located at the positions of adjacent abutments 8b and piers 8a, two adjacent abutments 8b, or two adjacent piers 8a. The bridge 5 is, for example, a steel bridge, a girder bridge, or an RC bridge.

[0156] Each accelerometer 2 is installed in the longitudinal center of the superstructure 7, specifically in the longitudinal center of the main girder G. However, each accelerometer 2 only needs to be able to detect acceleration for calculating the displacement of the superstructure 7, and its installation location is not limited to the center of the superstructure 7. If each accelerometer 2 were installed on the deck F of the superstructure 7, there would be a risk of it being destroyed by the passing of a vehicle 6a, and there would also be a risk that the measurement accuracy would be affected by local deformation of the bridge deck 7a. Therefore, in the examples of Figures 29 and 30, each accelerometer 2 is installed on the main girder G of the superstructure 7.

[0157] As shown in FIG. 30 , the superstructure 7 has two lanes L1 and L2 and three main girders G along which a vehicle 6a, a moving body, can travel. In the example shown in FIGS. 29 and 30 , an accelerometer 2 is provided on each of the two main girders at both ends of the superstructure 7 in the longitudinal center. An observation point R1 is provided on the surface of lane L1, which is located vertically above one accelerometer 2, and an observation point R2 is provided on the surface of lane L2, which is located vertically above the other accelerometer 2. In other words, the two accelerometers 2 are observation devices that observe the observation points R1 and R2, respectively. The two accelerometers 2 that observe the observation points R1 and R2, respectively, may be provided at positions that allow them to detect accelerations occurring at the observation points R1 and R2 due to the movement of the vehicle 6a. However, it is preferable that the accelerometers 2 be provided in positions close to the observation points R1 and R2. The number and installation positions of the accelerometers 2 and the number of lanes are not limited to those shown in FIGS. 29 and 30 , and various modifications are possible.

[0158] The measurement device 1 compares acceleration data output from the accelerometer 2 when the vehicle 6a passes through the superstructure 7 with a pre-calculated conversion function f conv Based on the above, the amplitude of the displacement of the superstructure 7 when the vehicle 6a passes through the superstructure 7, specifically, the amplitude of the displacement of the lanes L1 and L2, is estimated. As described above, the transformation function f convis calculated in advance based on displacement data output from a displacement meter 9 observing observation point R. For example, the displacement meter 9 is installed before the accelerometer 2 is installed, and the measurement device 1 calculates a conversion function based on the displacement data output from the displacement meter 9 when vehicle 6b passes over the superstructure 7, and stores each coefficient of the calculated conversion function in a storage unit (not shown). Vehicle 6b may be the same vehicle as vehicle 6a, or may be a vehicle different from vehicle 6a. Then, after the displacement meter 9 is removed, the accelerometer 2 is installed on the superstructure 7, and the measurement device 1 estimates the amplitude of the displacement of the superstructure 7, specifically, the amplitude of the displacement of lanes L1 and L2, based on the acceleration data output from the accelerometer 2 when vehicle 6a passes over the superstructure 7 and the conversion function stored in the storage unit.

[0159] The measuring device 1 transmits information on the estimated displacement amplitude of the superstructure 7 to the monitoring device 3 via the communication network 4. The monitoring device 3 stores the information in a storage device (not shown) and may perform processing such as monitoring the vehicle 6a and determining abnormalities in the superstructure 7 based on the information. The method for estimating the displacement amplitude of the superstructure 7 by the measuring device 1 is the same as any of the above-mentioned embodiments, and therefore a detailed description thereof will be omitted. Note that the vehicle 6a is another example of the first moving body, and the vehicle 6b is another example of the second moving body.

[0160] In addition, in each of the above embodiments, each accelerometer 2 is provided on the main girder G of the superstructure 7, but it may also be provided on the surface or inside of the superstructure 7, on the underside of the deck F, on the pier 8a, etc. In addition, in each of the above embodiments, the superstructure of a bridge is given as an example of a structure, but this is not limiting, and the structure may be any structure that deforms due to the movement of a moving object.

[0161] The above-described embodiment and modifications are merely examples, and the present invention is not limited to these. For example, the embodiments and modifications can be combined as appropriate.

[0162] The present invention includes configurations that are substantially the same as the configurations described in the embodiments, for example, configurations with the same functions, methods, and results, or configurations with the same purpose and effects. The present invention also includes configurations that replace non-essential parts of the configurations described in the embodiments. The present invention also includes configurations that achieve the same effects or purposes as the configurations described in the embodiments. The present invention also includes configurations that add publicly known technology to the configurations described in the embodiments.

[0163] The following can be derived from the above-described embodiment and modifications.

[0164] One aspect of the measurement method is an acceleration data acquisition step of acquiring acceleration data output from an accelerometer that observes an observation point of the structure when a first moving body moves through the structure; a velocity vibration component calculation step of calculating a first velocity vibration component by integrating and filtering the acceleration based on the acceleration data; and a displacement amplitude estimation step of estimating the amplitude of displacement of the structure when the first moving body moves the structure, based on the first velocity vibration component and a transformation function calculated in advance based on displacement data output from a displacement meter that observes the observation point when a second moving body moves the structure.

[0165] In this measurement method, the displacement meter directly measures the displacement of the structure, so there is no drift in the displacement based on the displacement data output from the displacement meter. Therefore, the conversion function calculated in advance based on the displacement data output from the displacement meter when the second moving body moves the structure has relatively high conversion accuracy. Furthermore, in this measurement method, the data output from the accelerometer when the first moving body moves the structure is integrated and filtered to calculate the first velocity vibration component, so the drift contained in the first velocity vibration component is reduced by the filtering process. Furthermore, in this measurement method, the amplitude of the displacement of the structure when the first moving body moves the structure is estimated based on the first velocity vibration component and the conversion function, so there is no influence of large drift caused by integrating acceleration based on acceleration data twice. Therefore, this measurement method allows for accurate estimation of the amplitude of the displacement of the structure when the first moving body moves the structure.

[0166] Furthermore, with this measurement method, there is no large drift effect due to integrating acceleration twice, so drift correction processing is not required. Furthermore, since the method estimates the amplitude of displacement, which is simpler than the waveform of the displacement of the structure when the first moving body moves across the structure, the amount of calculation required for estimation is small, making it possible to speed up the estimation process and reduce costs.

[0167] Furthermore, this measurement method uses an accelerometer, which has greater freedom of installation and can be easily installed than a displacement meter or strain meter, to estimate the amplitude of displacement of the structure when the first moving body moves through the structure, thereby enabling cost reduction.

[0168] In one aspect of the measurement method, The displacement amplitude estimation step includes: calculating the amplitude of the first velocity vibration component; The method may further include a step of calculating the amplitude of the displacement of the structure by substituting the amplitude of the first velocity vibration component into the conversion function.

[0169] According to this measurement method, the amplitude of displacement of the structure when the first moving body moves across the structure can be estimated through a process with a small amount of calculation, in which acceleration based on the acceleration data is integrated and filtered to calculate the first velocity vibration component, and the amplitude of the first velocity vibration component is substituted into a pre-calculated conversion function.

[0170] In one aspect of the measurement method, The amplitude of the first velocity vibration component may be the difference between the maximum value and the minimum value of the first velocity vibration component.

[0171] According to this measurement method, the amplitude of the first velocity vibration component can be calculated with a small amount of calculation by extracting the maximum and minimum values ​​of the first velocity vibration component and calculating the difference between them.

[0172] One aspect of the measurement method is a conversion function calculation step of calculating the conversion function, The conversion function calculation step includes: acquiring the displacement data; calculating a second velocity vibration component by differentiating and filtering the displacement based on the displacement data; The method may further include calculating, as the conversion function, a function that represents a relationship between the amplitude of the displacement based on the displacement data and the amplitude of the second velocity vibration component.

[0173] In this measurement method, a conversion function is calculated that represents the relationship between the amplitude of the displacement measured with high accuracy by the displacement meter and the amplitude of the high-accuracy second velocity vibration component obtained by differentiating and filtering the displacement, thereby obtaining a highly accurate conversion function. Therefore, according to this measurement method, the amplitude of the displacement of the structure when the first moving body moves the structure can be accurately estimated based on the highly accurate conversion function.

[0174] In one aspect of the measurement method, the amplitude of the displacement based on the displacement data is a difference between a maximum value and a minimum value of the displacement, The amplitude of the second velocity vibration component may be the difference between the maximum value and the minimum value of the second velocity vibration component.

[0175] According to this measurement method, the amplitude of the displacement and the amplitude of the second velocity vibration component can be calculated with a small amount of calculation by extracting the maximum and minimum values ​​of the displacement and calculating the difference between them, and extracting the maximum and minimum values ​​of the second velocity vibration component and calculating the difference between them. Furthermore, according to this measurement method, by using the maximum amplitude with a high S / N ratio as both the amplitude of the displacement and the amplitude of the second velocity vibration component, a highly accurate conversion function can be calculated.

[0176] In one aspect of the measurement method, The displacement amplitude estimation step includes: The method may include the step of calculating the amplitude of the displacement by substituting the first velocity vibration component into the conversion function.

[0177] According to this measurement method, the amplitude of displacement of a structure when a first moving body moves across the structure can be estimated by a process with a small amount of calculation, in which a first velocity vibration component obtained by integrating and filtering acceleration based on acceleration data is substituted into a pre-calculated conversion function.

[0178] One aspect of the measurement method is a conversion function calculation step of calculating the conversion function, The conversion function calculation step includes: acquiring the displacement data; a step of filtering the displacement based on the displacement data to calculate a displacement vibration component; a step of calculating a first envelope by low-pass filtering the absolute value of the displacement vibration component; a step of subtracting the first envelope from a displacement obtained by low-pass filtering the displacement based on the displacement data, thereby calculating an amplitude of the displacement of the structure when the second moving body moves the structure; calculating a second velocity vibration component by differentiating and filtering the displacement based on the displacement data; calculating a second envelope by low-pass filtering the absolute value of the second velocity vibration component; The method may further include calculating, as the conversion function, a function that represents the relationship between the amplitude of the displacement of the structure and the second envelope.

[0179] In this measurement method, a first envelope that is the envelope of the displacement vibration component and a second envelope that is the envelope of the velocity vibration component are calculated based on the displacement measured by the displacement meter, and a conversion function is calculated based on the first envelope and the second envelope. Therefore, according to this measurement method, a more accurate conversion function can be calculated in which the effects of fluctuations and noise contained in the displacement measured by the displacement meter are reduced, and the amplitude of the displacement of the structure when the first moving body moves the structure can be accurately estimated.

[0180] In one aspect of the measurement method, The displacement meter may be a ring-type displacement meter, a laser displacement meter, an image measuring device, or a load cell.

[0181] In one aspect of the measurement method, The structure may be a bridge superstructure.

[0182] According to this measurement method, the amplitude of displacement of the superstructure of a bridge when the first moving body moves across the superstructure can be calculated with high accuracy using processing with a small amount of calculation.

[0183] In one aspect of the measurement method, The first moving body may be a vehicle or a railcar.

[0184] According to this measurement method, the amplitude of displacement of a structure when a vehicle or railcar moves over the structure can be calculated with high accuracy using processing with a small amount of calculation.

[0185] In one aspect of the measurement method, The structure may be a structure in which BWIM (Bridge Weigh in Motion) functions.

[0186] One aspect of the measurement device is an acceleration data acquisition unit that acquires acceleration data output from an accelerometer that observes an observation point of the structure when a first moving body moves through the structure; a velocity vibration component calculation unit that calculates a first velocity vibration component by integrating and filtering the acceleration based on the acceleration data; and a displacement amplitude estimation unit that estimates the amplitude of the displacement of the structure when the first moving body moves the structure, based on the first velocity vibration component and a conversion function calculated in advance based on displacement data output from a displacement meter that observes the observation point when a second moving body moves the structure.

[0187] In this measurement device, the displacement meter directly measures the displacement of the structure, so there is no drift in the displacement based on the displacement data output from the displacement meter. Therefore, the conversion function calculated in advance based on the displacement data output from the displacement meter when the second moving body moves the structure has relatively high conversion accuracy. Furthermore, in this measurement device, the data output from the accelerometer when the first moving body moves the structure is integrated and filtered to calculate the first velocity vibration component, so the drift contained in the first velocity vibration component is reduced by the filtering process. Furthermore, in this measurement device, the amplitude of the displacement of the structure when the first moving body moves the structure is estimated based on the first velocity vibration component and the conversion function, so there is no influence of large drift caused by integrating acceleration based on acceleration data twice. Therefore, this measurement device can accurately estimate the amplitude of the displacement of the structure when the first moving body moves the structure.

[0188] Furthermore, with this measuring device, there is no large drift effect due to integrating acceleration twice, so drift correction processing is not required. Furthermore, since the device estimates the simpler amplitude of displacement rather than the waveform of the displacement of the structure when the first moving body moves across the structure, the amount of calculation required for estimation is small, making it possible to speed up the estimation process and reduce costs.

[0189] In addition, this measuring device uses an accelerometer, which has greater freedom of installation and is easier to install than displacement meters or strain meters, to estimate the amplitude of displacement of the structure when the first moving body moves through the structure, thereby enabling cost reduction.

[0190] One aspect of the measurement system is One aspect of the measurement device; the accelerometer; Equipped with.

[0191] One aspect of the measurement program is an acceleration data acquisition step of acquiring acceleration data output from an accelerometer that observes an observation point of the structure when a first moving body moves through the structure; a velocity vibration component calculation step of calculating a first velocity vibration component by integrating and filtering the acceleration based on the acceleration data; and a displacement amplitude estimation step of estimating the amplitude of displacement of the structure when the first moving body moves the structure, based on the first velocity vibration component and a transformation function calculated in advance based on displacement data output from a displacement meter that observes the observation point when a second moving body moves the structure.

[0192] In this measurement program, the displacement meter directly measures the displacement of the structure, so there is no drift in the displacement based on the displacement data output from the displacement meter. Therefore, the conversion function calculated in advance based on the displacement data output from the displacement meter when the second moving body moves the structure has relatively high conversion accuracy. Furthermore, in this measurement program, the data output from the accelerometer when the first moving body moves the structure is integrated and filtered to calculate the first velocity vibration component, so the drift contained in the first velocity vibration component is reduced by the filtering process. Furthermore, in this measurement program, the amplitude of the displacement of the structure when the first moving body moves the structure is estimated based on the first velocity vibration component and the conversion function, so there is no influence of large drift caused by integrating acceleration based on acceleration data twice. Therefore, this measurement program allows for accurate estimation of the amplitude of the displacement of the structure when the first moving body moves the structure.

[0193] In addition, this measurement program eliminates large drifts due to double integration of acceleration. Since there is no influence of the above, drift correction processing is not required, and since the simpler amplitude of displacement is estimated rather than the waveform of the displacement of the structure when the first moving body moves the structure, the amount of calculation required for estimation is small, making it possible to speed up the estimation processing and reduce costs.

[0194] In addition, according to this measurement program, an accelerometer is used, which has a higher degree of freedom in installation and is easier to install than a displacement meter or strain meter, in order to estimate the amplitude of displacement of the structure when the first moving body moves through the structure, thereby making it possible to reduce costs. [Explanation of symbols]

[0195] 1...measuring device, 2...accelerometer, 3...monitoring device, 4...communication network, 5...bridge, 6...railway vehicle, 6A...railway vehicle, 6a...vehicle, 7...superstructure, 7a...bridge deck, 7b...bearing, 7c...rail, 7d...sleeper, 7e...ballast, F...deck, G...main girder, 8...substructure, 8a...pier, 8b...abutment, 9...displacement meter, 10...measuring system, 11...first communication unit, 12...second communication unit, 13...memory unit, 14...processor, 21...communication unit, 22...acceleration sensor, 23...processor, 24...memory unit, 31...communication unit, 32...processor, 3 3...display unit, 34...operation unit, 35...memory unit, 40...ring-type displacement meter, 41...piano wire, 50...camera, 51...target, 131...measurement program, 132...conversion function data, 133...acceleration data, 134...measurement data, 141...conversion function calculation unit, 142...acceleration data acquisition unit, 143...velocity vibration component calculation unit, 144...displacement amplitude estimation unit, 145...measurement data output unit, 241...observation program, 242...acceleration data, 321...measurement data acquisition unit, 322...monitoring unit, 351...monitoring program, 352...measurement data string

Claims

1. an acceleration data acquisition step of acquiring acceleration data output from an accelerometer that observes an observation point of the structure when a first moving body moves through the structure; a velocity vibration component calculation step of calculating a first velocity vibration component by integrating and filtering the acceleration based on the acceleration data; a displacement amplitude estimation step of estimating an amplitude of displacement of the structure when the first moving body moves the structure, based on the first velocity vibration component and a transformation function calculated in advance based on displacement data output from a displacement meter that observes the observation point when a second moving body moves the structure.

2. In claim 1, The displacement amplitude estimation step includes: calculating the amplitude of the first velocity vibration component; and calculating the amplitude of the displacement of the structure by substituting the amplitude of the first velocity vibration component into the conversion function.

3. In claim 2, A measurement method, wherein the amplitude of the first velocity vibration component is the difference between the maximum value and the minimum value of the first velocity vibration component.

4. In any one of claims 1 to 3, a conversion function calculation step of calculating the conversion function, The conversion function calculation step includes: acquiring the displacement data; calculating a second velocity vibration component by differentiating and filtering the displacement based on the displacement data; calculating, as the conversion function, a function that represents a relationship between an amplitude of the displacement based on the displacement data and an amplitude of the second velocity vibration component.

5. In claim 4, the amplitude of the displacement based on the displacement data is a difference between a maximum value and a minimum value of the displacement, A measurement method, wherein the amplitude of the second velocity vibration component is the difference between the maximum value and the minimum value of the second velocity vibration component.

6. In claim 1, The displacement amplitude estimation step includes: a step of calculating an amplitude of the displacement by substituting the first velocity vibration component into the conversion function.

7. In claim 1 or 6, a conversion function calculation step of calculating the conversion function, The conversion function calculation step includes: acquiring the displacement data; a step of filtering the displacement based on the displacement data to calculate a displacement vibration component; calculating a first envelope by low-pass filtering the absolute value of the displacement vibration component; a step of subtracting the first envelope from a displacement obtained by low-pass filtering the displacement based on the displacement data, thereby calculating an amplitude of the displacement of the structure when the second moving body moves the structure; calculating a second velocity vibration component by differentiating and filtering the displacement based on the displacement data; calculating a second envelope by low-pass filtering the absolute value of the second velocity vibration component; and calculating, as the conversion function, a function that represents the relationship between the amplitude of the displacement of the structure and the second envelope.

8. In any one of claims 1 to 7, The measurement method, wherein the displacement meter is a ring-type displacement meter, a laser displacement meter, an image measuring device, or a load cell.

9. In any one of claims 1 to 8, A measurement method in which the structure is a superstructure of a bridge.

10. In any one of claims 1 to 9, A measurement method, wherein the first moving body is a vehicle or a railway vehicle.

11. In any one of claims 1 to 10, A measurement method in which the structure is a structure in which BWIM (Bridge Weigh in Motion) functions.

12. an acceleration data acquisition unit that acquires acceleration data output from an accelerometer that observes an observation point of the structure when a first moving body moves through the structure; a velocity vibration component calculation unit that calculates a first velocity vibration component by integrating and filtering the acceleration based on the acceleration data; a displacement amplitude estimation unit that estimates the amplitude of displacement of the structure when the first moving body moves the structure, based on the first velocity vibration component and a transformation function that is calculated in advance based on displacement data output from a displacement meter that observes the observation point when a second moving body moves the structure.

13. The measurement device according to claim 12; the accelerometer; A measurement system equipped with

14. an acceleration data acquisition step of acquiring acceleration data output from an accelerometer that observes an observation point of the structure when a first moving body moves through the structure; a velocity vibration component calculation step of calculating a first velocity vibration component by integrating and filtering the acceleration based on the acceleration data; a displacement amplitude estimation step of estimating the amplitude of displacement of the structure when the first moving body moves the structure, based on the first velocity vibration component and a transformation function calculated in advance based on displacement data output from a displacement meter that observes the observation point when a second moving body moves the structure.

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