DAMAGE DIAGNOSING DEVICE, DAMAGE DIAGNOSING METHOD, AND RECORDING MEDIUM HAVING DAMAGE DIAGNOSING PROGRAM STORED THEREON
20200363287 ยท 2020-11-19
Assignee
Inventors
Cpc classification
G01H17/00
PHYSICS
G01M7/022
PHYSICS
G01M99/00
PHYSICS
International classification
Abstract
A damage diagnosing device includes: a generating unit which generates second vibration characteristic information including a characteristic value of an increase characteristic opposite to an amplitude of oscillation exhibited by first vibration characteristic information, relating to a structure including a supporting portion and a supported portion supported at a support point by the supporting portion; a calculating unit which calculates a degree that values indicated by the first vibration characteristic information and the second vibration characteristic information have changed from reference values relating to the first vibration characteristic information and the second vibration characteristic information as a result of damage that has occurred in the structure; and a diagnosing unit which diagnoses the damage on the basis of the degree of change, to more accurately diagnose damage that has occurred in a structure having a supporting portion and a supported portion supported at a support point by the supporting portion.
Claims
1. A damage diagnosing device comprising: at least one memory storing a computer program; and at least one processor configured to execute the computer program to: generate second vibration characteristic information including a characteristic value having an increase characteristic opposite to an amplitude indicated by first vibration characteristic information, relating to a structure including a supporting portion and a supported portion supported at a support point by the supporting portion; calculate a degree that values indicated by the first and second vibration characteristic information change from reference values relating to the first and second vibration characteristic information as a result of damage occurring in the structure; and diagnose the damage, based on the degree of change.)
2. The damage diagnosing device according to claim 1, wherein the processor is configured to execute the computer program to calculate, as the characteristic value, an inverse number of the amplitude indicated by the first vibration characteristic information.
3. The damage diagnosing device according to claim 1 wherein the first and second vibration characteristic information represent a characteristic vector including values representing an amplitude and a phase relating to vibration, for each of one or more observation points in the structure.
4. The damage diagnosing device according to claim 3, wherein the processor is configured to execute the computer program to calculate a similarity indicating the degree of change, based on a norm of the characteristic vector relating to the first or second vibration characteristic information, a norm of the characteristic vector relating to the reference value relating to the first or second vibration characteristic information, and a value representing an inner product of the characteristic vector relating to the first or second vibration characteristic information and the characteristic vector relating to the reference value relating to the first or second vibration characteristic information.
5. The damage diagnosing device according to claim 4, wherein the processor is configured to execute the computer program to calculate model assurance criteria (MAC) representing the similarity, based on a mode shape representing the characteristic vector.
6. The damage diagnosing device according to claim 4, wherein the processor is configured to execute the computer program to determine whether the similarity is equal to or less than a threshold value.
7. The damage diagnosing device according to claim 6, wherein the structure is a bridge.
8. The damage diagnosing device according to claim 1, wherein the processor is configured to execute the computer program to: display the first vibration characteristic information being generated and the reference value relating to the first vibration characteristic information on a display device in an overlapping manner, and display the second vibration characteristic information being generated and the reference value relating to the second vibration characteristic information on the display device in an overlapping manner.
9. (canceled)
10. A damage diagnosing method comprising: by an information processing device, generating second vibration characteristic information including a characteristic value having an increase characteristic opposite to an amplitude indicated by first vibration characteristic information, relating to a structure including a supporting portion and a supported portion supported at a support point by the supporting portion; calculating a degree that values indicated by the first and second vibration characteristic information change from reference values relating to the first and second vibration characteristic information as a result of damage occurring in the structure; and diagnosing the damage, based on the degree of change.
11. A non-transitory computer-readable recording medium storing a damage diagnosing program for causing a computer to execute: generating processing of generating second vibration characteristic information including a characteristic value having an increase characteristic opposite to an amplitude indicated by first vibration characteristic information, relating to a structure including a supporting portion and a supported portion supported at a support point by the supporting portion; calculating processing of calculating a degree that values indicated by the first and second vibration characteristic information change from reference values relating to the first and second vibration characteristic information as a result of damage occurring in the structure; and determining processing of diagnosing the damage, based on the degree of change.
Description
BRIEF DESCRIPTION OF DRAWINGS
[0023]
[0024]
[0025]
[0026]
[0027]
[0028]
[0029]
[0030]
[0031]
EXAMPLE EMBODIMENT
[0032] Hereinafter, example embodiments of the invention of the present application will be described in detail with reference to the drawings.
First Example Embodiment
[0033]
[0034] A configuration of the bridge 20 according to the present example embodiment is as described above with regard to
[0035] As exemplified in
[0036] The damage diagnosing device 10 includes a generating unit 11, a calculating unit 12, a diagnosing unit 13, a storage unit 14, and a communication unit 15.
[0037] The communication unit 15 receives measurement data relating to vibration of the bridge 20 collected by the sensors 30-1 to 30-9, by performing, for example, wireless communication with the measurement data aggregator 31.
[0038] The storage unit 14 is a storage device such as an electronic memory or a magnetic disk. The storage unit 14 stores the measurement data received by the communication unit 15 and relating to vibration of the bridge 20 collected by the sensors 30-1 to 30-9. The storage unit 14 also stores information (data) generated by the generating unit 11, the calculating unit 12, and the diagnosing unit 13 that will be described later.
[0039] The generating unit 11 includes a function of identifying natural vibration and generating (extracting) a mode shape (vibration characteristic), in relation to the bridge 20. Specifically, the generating unit 11 calculates a frequency spectrum by performing frequency conversion of time history waveforms (waveforms representing vibration varying with elapse of time) representing vibration at at least one or more specific positions in the bridge 20. The specific positions may be positions other than three positions including the support point 210, the support point 220, and a middle position between the support point 210 and the support point 220. The generating unit 11 identifies, as a frequency of natural vibration, a peak frequency in a frequency spectrum at the specific position.
[0040] The generating unit 11 calculates, by performing frequency conversion of time history waveforms representing vibration at different positions (positions where the sensors 30-1 to 30-9 are placed) in the bridge 20 in the same period, frequency spectrums at the positions. The generating unit 11 generates a mode shape by extracting information representing an amplitude and a phase at the frequency (peak frequency) of the above-described natural vibration from the frequency spectrums at the positions.
[0041] The above-described method of generating a mode shape by identifying natural vibration by the generating unit 11 is one example of a method presented by an existing technique, and a method of generating a mode shape by identifying natural vibration by the generating unit 11 is not limited to the above-described method.
[0042] The generating unit 11 generates, as a reference value 141 of a mode shape, a characteristic vector representing a mode shape of the bridge 20 when no damage occurs in the bridge 20, based on measurement data collected by the sensors 30-1 to 30-9, for example, as indicated in Equation 1 described above. The generating unit 11 stores the generated mode-shape reference value 141 in the storage unit 14.
[0043] In the present example embodiment, an index referred to as an inverse mode shape (second vibration characteristic information) is defined for a mode shape. It is assumed that a characteristic vector .sup.1 representing an inverse mode shape according to the present example embodiment is represented, for example, as indicated by Equation 2.
[0044] In Equation 2, r.sub.j and .sub.j (j is an integer of one of 1 to n) represent an amplitude and a phase acquired by the sensor 30-j in order, as in Equation 1. n is an integer indicating the number of sensors placed on the bridge 20, and is 9 in the example illustrated in
[0045] An inverse mode shape is an index in which an amplitude in a mode shape is replaced by an inverse number thereof, as indicated by Equations 1 and 2. Therefore, a characteristic value (i.e., an inverse number of an amplitude) indicated by an inverse mode shape has an increase characteristic (a characteristic that becomes great as an amplitude indicated by a mode shape becomes small) opposite to an amplitude indicated by a mode shape.
[0046] The generating unit 11 generates, as a reference value 142 of an inverse mode shape, the characteristic vector .sup.1 representing an inverse mode shape of the bridge 20 when no damage occurs in the bridge 20, based on measurement data collected by the sensors 30-1 to 30-9. The generating unit 11 stores the generated inverse-mode-shape reference value 142 in the storage unit 14.
[0047]
[0048] After generating the mode-shape reference value 141 and the inverse-mode-shape reference value 142, the generating unit 11 generates the mode shape 111 of the bridge 20 by use of Equation 1, based on the measurement data collected by the sensors 30-1 to 30-9 at a predetermined timing, and generates the inverse mode shape 112 of the bridge 20 by use of Equation 2. The generating unit 11 inputs the generated mode shape 111 and inverse mode shape 112 to the calculating unit 12.
[0049] The generating unit 11 may display a graph representing the mode-shape reference value 141 and the mode shape 111 that have been generated, on a display device (not illustrated in
[0050] The calculating unit 12 calculates a mode-shape similarity 121, in relation to the mode shape 111 input from the generating unit 11, and the mode-shape reference value 141 stored in the storage unit 14. It is assumed that the calculating unit 12 according to the present example embodiment uses, as an index representing the mode-shape similarity 121, a mode reliability evaluation standard MAC being a well-known index. The calculating unit 12 calculates the MAC as illustrated in
[0051] In Equation 3, F is a sign representing the mode-shape reference value 141, and I is a sign representing the mode shape 111. Specifically, .sub.F is a characteristic vector representing the mode-shape reference value 141, and .sub.1 is a characteristic vector representing the mode shape 111. In Equation 3, T is a sign representing a transposition of a vector, and .sub.F.sup.T represents a transposed vector of .sub.F. .sub.F.sup.2 and .sub.I.sup.2 indicated by a denominator of Equation 3 represent squares of norms (lengths of the vectors) of the characteristic vector .sub.F and the characteristic vector .sub.I, in order. .sub.F.sup.T.sub.I.sup.2 indicated by a numerator of Equation 3 represents a square of an inner product of the characteristic vector .sub.F and the characteristic vector .sub.I. Therefore, MAC(F, I) is an index that approaches 1 as a similarity between the characteristic vector .sub.F and the characteristic vector .sub.I is greater, and approaches 0 as the similarity is smaller.
[0052] The calculating unit 12 calculates an inverse-mode-shape similarity 122, in relation to the inverse mode shape 112 input from the generating unit 11, and the inverse-mode-shape reference value 142 stored in the storage unit 14. In the present example embodiment, MAC being calculable similarly to the above-described mode reliability evaluation standard MAC are defined as an index representing the inverse-mode-shape similarity 122. The calculating unit 12 calculates the MAC as indicated by Equation 4.
[0053] In Equation 4, F is a sign representing the inverse-mode-shape reference value 142, and I is a sign representing the inverse mode shape 112. Specifically, .sub.F.sup.1 is a characteristic vector representing the inverse-mode-shape reference value 142, and .sub.1.sup.1 is a characteristic vector representing the inverse mode shape 112. In Equation 4, T is a sign representing a transposition of a vector, and (.sub.F.sup.1).sup.T represents a transposed vector of .sub.F.sup.1. .sub.F.sup.1.sup.2 and .sub.I.sup.1.sup.2 indicated by a denominator of Equation 4 represent squares of norms of the characteristic vector .sub.F.sup.1 and the characteristic vector .sub.I.sup.1, in order. (.sub.F.sup.1).sup.T(.sub.I.sup.1).sup.2 indicated by a numerator of Equation 4 represents a square of an inner product of the characteristic vector .sub.F.sup.1 and the characteristic vector .sub.I.sup.1. Therefore, similarly to MAC indicated in Equation (3), MAC(F.sup.1, I.sup.1) is an index that approaches 1 as a similarity between the characteristic vector .sub.F.sup.1 and the characteristic vector .sub.I.sup.1 is greater, and approaches 0 as the similarity is smaller.
[0054] The calculating unit 12 inputs, to the diagnosing unit 13, the mode-shape similarity 121 (MAC) and the inverse-mode-shape similarity 122 (MAC) that have been calculated.
[0055] The diagnosing unit 13 diagnoses damage occurring in the bridge 20, based on the mode-shape similarity 121 (MAC) and the inverse-mode-shape similarity 122 (MAC) that have been input from the calculating unit 12. Specifically, when at least one of a fact that the MAC is equal to or less than a threshold value relating to the MAC and a fact that the MAC is equal to or less than a threshold value relating to the MAC is satisfied, the diagnosing unit 13 diagnoses that damage to be paid attention to (to be taken care of) occurs in the bridge 20. When the MAC is greater than the threshold value relating to the MAC and the MAC is greater than the threshold value relating to the MAC, the diagnosing unit 13 diagnoses that no damage to be paid attention to occurs in the bridge 20.
[0056] Next, an operation (processing) of the damage diagnosing device 10 according to the present example embodiment is described in detail with reference to a flowchart in
[0057] The generating unit 11 identifies natural vibration of the bridge 20, based on the measurement data acquired by the sensors 30-1 to 30-9, and generates the mode shape 111 of the bridge 20 (step S101). The calculating unit 12 calculates the mode-shape similarity 121, with regard to the mode-shape reference value 141 stored in the storage unit 14, and the mode shape 111 generated by the generating unit 11 (step S102).
[0058] The generating unit 11 generates the inverse mode shape 112 of the bridge 20 by calculating an inverse number of an amplitude of each element included in the mode shape 111 (step S103). The calculating unit 12 calculates the inverse-mode-shape similarity 122, with regard to the inverse-mode-shape reference value 142 stored in the storage unit 14, and the inverse mode shape 112 generated by the generating unit 11 (step S104). The diagnosing unit 13 determines whether the mode-shape similarity 121 and the inverse-mode-shape similarity 122 are each equal to or less than the threshold value (step S 105). When the mode-shape similarity 121 and the inverse-mode-shape similarity 122 are more than the threshold value (No in step S 106), the diagnosing unit 13 diagnoses that no damage to be paid attention to occurs in the bridge 20 (step S 107), and the overall processing ends. When at least one of the mode-shape similarity 121 and the inverse-mode-shape similarity 122 is equal to or less than the threshold value (Yes in step S 106), the diagnosing unit 13 diagnoses that damage to be paid attention to occurs in the bridge 20 (step S 108), and the overall processing ends.
[0059] The damage diagnosing device 10 according to the present example embodiment can more accurately diagnose damage occurring in a structure, such as a bridge, including a supporting portion and a supported portion supported at a support point by the supporting portion. A reason for this is that the damage diagnosing device 10 generates the inverse mode shape 112 (second vibration characteristic information) including a characteristic value having an increase characteristic opposite to an amplitude indicated by the mode shape 111 (first vibration characteristic information) relating to the bridge 20, and diagnoses damage occurring in the bridge 20, based on a degree that the mode shape 111 and the inverse mode shape 112 change from reference values thereof as a result of damage occurring in the bridge 20.
[0060] An advantageous effect achieved by the damage diagnosing device 10 according to the present example embodiment is described below in detail.
[0061] It is known that an amplitude characteristic indicated by a mode shape of a structure, such as the bridge 20, including the supporting portion 21 or 22 and the supported portion 23 supported at the support point 210 or 220 by the supporting portion generally becomes small in amplitude in the vicinity of a support point (a position equivalent to a node) or the like, and becomes great in amplitude in the vicinity of a middle part between two support points (a position equivalent to an antinode), as illustrated in
[0062] For such a problem, the damage diagnosing device 10 according to the present example embodiment includes the generating unit 11, the calculating unit 12, and the diagnosing unit 13, and operates, for example, as described above with reference to
[0063] More specifically, the damage diagnosing device 10 according to the present example embodiment diagnoses that damage to be paid attention to occurs in the bridge 20, by use of two indices being the mode shape 111 and the inverse mode shape 112 having increase characteristics relating to amplitudes opposite to each other, when at least one of degrees of change from each of reference values relating to the mode shape 111 and the inverse mode shape 112 (similarities to the reference values) satisfies a reference. Specifically, the damage diagnosing device 10 performs a diagnosis based on the mode shape 111, with regard to damage occurring in a place (the vicinity of a middle part between two support points or the like) where the degree of change relating to the mode shape 111 is greater than that relating to the inverse mode shape 112. The damage diagnosing device 10 performs a diagnosis based on the inverse mode shape 112, with regard to damage occurring in a place (the vicinity of two support points or the like) where the degree of change relating to the inverse mode shape 112 is greater than that relating to the mode shape 111. Thus, the damage diagnosing device 10 according to the present example embodiment can more accurately diagnose damage occurring in a structure, such as a bridge, including a supporting portion and a supported portion supported at a support point by the supporting portion.
[0064] Although the damage diagnosing device 10 according to the present example embodiment generates the inverse mode shape 112 as an index in which an amplitude indicated by the mode shape 111 is replaced by an inverse number thereof, a characteristic value included in the inverse mode shape 112 is not limited to an inverse number of an amplitude indicated by the mode shape 111. A characteristic value included in the inverse mode shape 112 may have an increase characteristic (a characteristic that becomes greater as an amplitude indicated by the mode shape 111 becomes smaller) opposite to an amplitude indicated by the mode shape 111.
[0065] The damage diagnosing device 10 according to the present example embodiment may use, as vibration characteristic information relating to the bridge 20, information different from a mode shape. The damage diagnosing device 10 may diagnose damage occurring in the bridge 20, by use of an evaluation value different from an evaluation value based on a similarity relating to a mode shape such as MAC. For example, in relation to two pieces of vibration characteristic information having increase characteristics relating to amplitudes opposite to each other, the damage diagnosing device 10 may diagnose damage occurring in the bridge 20, based on a change amount (difference) from reference values relating to the two pieces of vibration characteristic information.
[0066] Note that a structure targeted for diagnosing damage by the damage diagnosing device 10 according to the present example embodiment is not limited to a bridge. The structure may include a supporting portion and a supported portion supported at a support point by the supporting portion. Therefore, the damage diagnosing device 10 according to the present example embodiment may target, for diagnosing damage, for example, a building, a chimney, an architectural structure such as a plant, a signboard, or the like.
Second Example Embodiment
[0067]
[0068] The damage diagnosing device 40 according to the present example embodiment includes a generating unit 41, a calculating unit 42, and a diagnosing unit 43.
[0069] The generating unit 41 generates second vibration characteristic information 412 including a characteristic value having an increase characteristic opposite to an amplitude indicated by first vibration characteristic information 411 relating to a structure 50, including a supporting portion 51 and a supported portion 52 supported at a support point 510 by the supporting portion 51.
[0070] The calculating unit 42 calculates a degree 421 to which values indicated by the first vibration characteristic information 411 and the second vibration characteristic information 412 change from reference values relating to the first vibration characteristic information 411 and the second vibration characteristic information 412 as a result of damage occurring in the structure 50.
[0071] The diagnosing unit 43 diagnoses the damage, based on the degree 421 of change.
[0072] The damage diagnosing device 40 according to the present example embodiment can more accurately diagnose damage occurring in the structure 50 including the supporting portion 51, and the supported portion 52 supported at the support point 510 by the supporting portion 51. A reason for this is that the damage diagnosing device 10 generates the second vibration characteristic information 412 including a characteristic value having an increase characteristic opposite to an amplitude indicated by the first vibration characteristic information 411 relating to the structure 50, and diagnoses damage occurring in the structure 50, based on a degree that the first vibration characteristic information 411 and the second vibration characteristic information 412 change from reference values thereof as a result of damage occurring in the structure 50.
[0073] <Hardware Configuration Example>
[0074] Each unit in each of the damage diagnosing devices illustrated in
[0078] Note, however, that classification of each unit illustrated in the drawings is a configuration serving for convenience of description, and various configurations are conceivable during implementation. One example of a hardware environment in this case is described with reference to
[0079]
[0080] The information processing device 900 illustrated in
[0089] Specifically, the information processing device 900 including the components described above is a general computer to which these components are connected via the bus 906. The information processing device 900 may include a plurality of CPUs 901, or include a multicore CPU 901.
[0090] Furthermore, the invention of the present application described with the above-described example embodiments as examples supplies the information processing device 900 illustrated in
[0091] In the above-described case, a general procedure can be adopted at present as a method of supplying a computer program into the hardware. As the procedure, there is, for example, a method that installs into the device via various recording media 907 such as a CD-ROM, a method that downloads from outside via a communication line such as the Internet, or the like. In such a case, it can be considered that the invention of the present application is configured by a code constituting the computer program, or the recording medium 907 storing the code.
[0092] While the invention has been particularly shown and described with reference to exemplary embodiments thereof, the invention is not limited to these embodiments. It will be understood by those of ordinary skill in the art that various changes in form and details may be made therein without departing from the spirit and scope of the present invention as defined by the claims.
[0093] Note that some or all of the above-described example embodiments may be also described as in the following supplementary notes. However, the invention of the present application exemplarily described with each of the above-described example embodiments is not limited to the following.
[0094] (Supplementary Note 1)
[0095] A damage diagnosing device including:
[0096] a generating means for generating second vibration characteristic information including a characteristic value having an increase characteristic opposite to an amplitude indicated by first vibration characteristic information, relating to a structure including a supporting portion and a supported portion supported at a support point by the supporting portion;
[0097] a calculating means for calculating a degree that values indicated by the first and second vibration characteristic information change from reference values relating to the first and second vibration characteristic information as a result of damage occurring in the structure; and a diagnosing means for diagnosing the damage, based on the degree of change.
[0098] (Supplementary Note 2)
[0099] The damage diagnosing device according to Supplementary Note 1, wherein
[0100] the generating means calculates, as the characteristic value, an inverse number of the amplitude indicated by the first vibration characteristic information.
[0101] (Supplementary Note 3)
[0102] The damage diagnosing device according to Supplementary Note 1 or 2, wherein
[0103] the first and second vibration characteristic information represent a characteristic vector including values representing an amplitude and a phase relating to vibration, for each of one or more observation points in the structure.
[0104] (Supplementary Note 4)
[0105] The damage diagnosing device according to Supplementary Note 3, wherein
[0106] the calculating means calculates a similarity indicating the degree of change, based on a norm of the characteristic vector relating to the first or second vibration characteristic information, a norm of the characteristic vector relating to the reference value relating to the first or second vibration characteristic information, and a value representing an inner product of the characteristic vector relating to the first or second vibration characteristic information and the characteristic vector relating to the reference value relating to the first or second vibration characteristic information.
[0107] (Supplementary Note 5)
[0108] The damage diagnosing device according to Supplementary Note 4, wherein
[0109] the calculating means calculates model assurance criteria (MAC) representing the similarity, based on a mode shape representing the characteristic vector.
[0110] (Supplementary Note 6)
[0111] The damage diagnosing device according to Supplementary Note 4 or 5, wherein
[0112] the diagnosing means determines whether the similarity is equal to or less than a threshold value.
[0113] (Supplementary Note 7)
[0114] The damage diagnosing device according to Supplementary Note 6, wherein
[0115] the structure is a bridge.
[0116] (Supplementary Note 8)
[0117] The damage diagnosing device according to any one of Supplementary Notes 1 to 7, wherein
[0118] the generating means displays the first vibration characteristic information being generated and the reference value relating to the first vibration characteristic information on a display device in an overlapping manner, and displays the second vibration characteristic information being generated and the reference value relating to the second vibration characteristic information on the display device in an overlapping manner.
[0119] (Supplementary Note 9)
[0120] A damage diagnosing system including:
[0121] the damage diagnosing device according to any one of Supplementary Notes 1 to 8; and
[0122] a sensor that collects, from the structure, information needed for the generating means to generate the first and second vibration characteristic information.
[0123] (Supplementary Note 10)
[0124] A damage diagnosing method including:
[0125] by an information processing device, [0126] generating second vibration characteristic information including a characteristic value having an increase characteristic opposite to an amplitude indicated by first vibration characteristic information, relating to a structure including a supporting portion and a supported portion supported at a support point by the supporting portion; [0127] calculating a degree that values indicated by the first and second vibration characteristic information change from reference values relating to the first and second vibration characteristic information as a result of damage occurring in the structure; and [0128] diagnosing the damage, based on the degree of change.
[0129] (Supplementary Note 11)
[0130] A recording medium storing a damage diagnosing program for causing a computer to execute:
[0131] generating processing of generating second vibration characteristic information including a characteristic value having an increase characteristic opposite to an amplitude indicated by first vibration characteristic information, relating to a structure including a supporting portion and a supported portion supported at a support point by the supporting portion;
[0132] calculating processing of calculating a degree that values indicated by the first and second vibration characteristic information change from reference values relating to the first and second vibration characteristic information as a result of damage occurring in the structure; and
[0133] determining processing of diagnosing the damage, based on the degree of change.
[0134] This application is based upon and claims the benefit of priority from Japanese Patent Application No. 2017-220893, filed on Nov. 16, 2017, the disclosure of which is incorporated herein in its entirety by reference.
REFERENCE SIGNS LIST
[0135] 1 Damage diagnosing system [0136] 10 Damage diagnosing device [0137] 11 Generating unit [0138] 111 Mode shape [0139] 112 Inverse mode shape [0140] 12 Calculating unit [0141] 121 Mode-shape similarity [0142] 122 Inverse-mode-shape similarity [0143] 13 Diagnosing unit [0144] 14 Storage unit [0145] 141 Mode-shape reference value [0146] 142 Inverse-mode-shape reference value [0147] 15 Communication unit [0148] 20 Bridge [0149] 21 Supporting portion [0150] 210 Support point [0151] 22 Supporting portion [0152] 220 Support point [0153] 23 Supported portion [0154] 30-1 to 30-9 Sensor [0155] 31 Measurement data aggregator [0156] 40 Damage diagnosing device [0157] 41 Generating unit [0158] 411 First vibration characteristic information [0159] 412 Second vibration characteristic information [0160] 42 Calculating unit [0161] 421 Degree of change [0162] 43 Diagnosing unit [0163] 50 Structure [0164] 51 Supporting portion [0165] 52 Supported portion [0166] 510 Support point [0167] 900 Information processing device [0168] 901 CPU [0169] 902 ROM [0170] 903 RAM [0171] 904 Hard disk [0172] 905 Communication interface [0173] 906 Bus 907 Recording medium 908 Reader/writer 909 Input/output interface