CN112595778A - Dynamic damage identification method for structural sealant under non-reference model - Google Patents

Dynamic damage identification method for structural sealant under non-reference model Download PDF

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CN112595778A
CN112595778A CN202011503280.XA CN202011503280A CN112595778A CN 112595778 A CN112595778 A CN 112595778A CN 202011503280 A CN202011503280 A CN 202011503280A CN 112595778 A CN112595778 A CN 112595778A
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frequency response
response function
acceleration
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glass panel
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潘旦光
江坤
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University of Science and Technology Beijing USTB
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    • G—PHYSICS
    • G01—MEASURING; TESTING
    • G01N—INVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
    • G01N29/00—Investigating or analysing materials by the use of ultrasonic, sonic or infrasonic waves; Visualisation of the interior of objects by transmitting ultrasonic or sonic waves through the object
    • G01N29/04—Analysing solids
    • G—PHYSICS
    • G01—MEASURING; TESTING
    • G01N—INVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
    • G01N2291/00—Indexing codes associated with group G01N29/00
    • G01N2291/02—Indexing codes associated with the analysed material
    • G01N2291/023—Solids
    • G01N2291/0232—Glass, ceramics, concrete or stone
    • G—PHYSICS
    • G01—MEASURING; TESTING
    • G01N—INVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
    • G01N2291/00—Indexing codes associated with group G01N29/00
    • G01N2291/02—Indexing codes associated with the analysed material
    • G01N2291/023—Solids
    • G01N2291/0235—Plastics; polymers; soft materials, e.g. rubber

Abstract

The invention discloses a dynamic damage identification method of a structural sealant under a no-reference model, which comprises the following steps: measuring acceleration and force hammer signals of the same type of glass panel units by adopting the same hammering experiment, and calculating an acceleration frequency response function; normalizing the acceleration frequency response functions of all samples, solving an average acceleration frequency response function, and calculating the accumulated difference of the acceleration frequency response functions of all samples; then solving the accumulated difference of the acceleration frequency response functions and the single-side confidence level upper limit, and identifying abnormal samples according to the single-side confidence level upper limit; and then judging the damage condition of the glass panel unit according to the peak frequency difference of the abnormal sample. The method can quickly identify the individual damaged structural sealant units in the similar glass panel units without an initial undamaged reference model, and has the advantages of simple experimental installation, easy operation, high detection speed and the like.

Description

Dynamic damage identification method for structural sealant under non-reference model
Technical Field
The invention relates to the technical field of glass curtain wall damage detection, in particular to a dynamic damage identification method for a structural sealant under a no-reference model.
Background
Hidden frame and semi-hidden frame glass curtain walls are commonly used for envelope structures of various buildings due to their beautiful and concise appearance. Wherein, the strutting arrangement who constitutes by structure sealant, adhesive tape etc. is hidden engineering, in case damage easily leads to the panel unit to drop and produces the incident.
In order to ensure the firmness of the installation of the glass panel units in the curtain wall, the service states of the glass panel units need to be regularly detected. The patent of 'recognition method of sealant damage of boundary structure of glass curtain wall with hidden frame' (201910168885.9) discloses a method for detecting damage of sealant of glass curtain wall structure under reference model in the aspects of Pandanguang, Jiangkun, Zhang Xichen, Wang and hong Zheng. The research on the safety performance of the existing glass curtain wall based on a dynamic method (civil engineering report, 2009,42(12):11-15) discloses that the modal displacement of the structural sealant glass deletion position is increased and the frequency is reduced along with the increase of the structural sealant deletion degree through modal tests. The damage of the structural sealant glass sealant is estimated by using the fundamental frequency of the acceleration Fourier spectrum of a Doppler laser vibrometer in Journal of Building Engineering,2018, 19. The method discloses that the structural sealant at the periphery of the glass curtain wall is identified by the change of modal curvature, wherein the defect of the structural sealant at the periphery of the glass curtain wall is identified by the change of the modal curvature in the research on damage detection of the full-hidden-frame glass curtain wall based on the modal curvature (value engineering, 2017,36(20): 89-93).
One drawback of the above-described impairment identification methods based on kinetic signatures or kinetic responses is the need for an initial non-invasive reference model. If there is no reference model, the above damage identification method fails. However, in a glass curtain wall structure, the number of glass panel units with the same specification is large, and because the artificially constructed structural sealant has errors, two panels with completely the same dynamic characteristics do not exist, that is, the initial non-damage reference model after most of the glass curtain walls are installed is unknown. Therefore, there is an urgent need in the art for a method for detecting structural adhesive damage in a baseline-free state.
Disclosure of Invention
The invention aims to provide a dynamic damage identification method of a structural sealant under a no-reference model, which aims to overcome the defect that damage detection can be carried out only by an initial non-damaged reference model in the prior art.
To solve the above technical problem, an embodiment of the present invention provides the following solutions:
a dynamic damage identification method for a structural sealant under a no-reference model comprises the following steps:
taking the same type of glass panel units to be detected as a set, taking each glass panel unit in the set as a sample, measuring acceleration and force hammer signals of each sample j by adopting the same hammering experiment, and calculating an acceleration frequency response function Hj(ωk)；
Calculating sample acceleration frequency response function Hj(ωk) Normalized frequency response function of mode
Figure BDA0002844124650000021
All in the set
Figure BDA0002844124650000022
Average frequency response function of
Figure BDA0002844124650000023
And calculate
Figure BDA0002844124650000024
Relative to
Figure BDA0002844124650000025
The cumulative difference E of the acceleration frequency response functionj；
Calculate all samples E in the setjMean value of
Figure BDA0002844124650000026
And unbiased estimate of variance
Figure BDA0002844124650000027
n is the total number of samples;
calculating the accumulated difference E of the acceleration frequency response function by adopting t distributionjOne-sided confidence interval ceiling at confidence 0.95
Figure BDA0002844124650000028
In the formula t0.95Representing the quantile of t distribution under 0.95 confidence;
for EjGreater than the single-sided confidence interval upper limit EuIs called an abnormal sample, and calculates the abnormal sample
Figure BDA0002844124650000029
And
Figure BDA00028441246500000210
peak frequency difference Δ f ofjWhen the peak frequency difference Δ f of the abnormal sample is larger than the threshold valuejLess than zero is a damaged sample.
Preferably, the same hammering experiment is adopted for the same type of glass panel units to be detected, namely that each glass panel unit has the same size, thickness and installation mode, the setting of the vibration excitation position of the hammering experiment, the installation position of the acceleration sensor and the experiment data acquisition mode is consistent, and the method for calculating the acceleration frequency response function is consistent.
Preferably, the normalized frequency response function
Figure BDA00028441246500000211
The calculation formula of (2) is as follows:
Figure BDA00028441246500000212
wherein, | Hj(ωk) I and I Hj(ωk)|maxAre respectively Hj(ωk) And the maximum of the mode.
Preferably, the average frequency response function
Figure BDA0002844124650000031
The calculation formula of (2) is as follows:
Figure BDA0002844124650000032
preferably, the accumulated difference E of the acceleration frequency response functionjThe calculation formula of (2) is as follows:
Figure BDA0002844124650000033
and N is the number of effective frequencies of frequency response function analysis.
Preferably, the peak frequency difference Δ fjThe calculation formula of (2) is as follows:
Figure BDA0002844124650000034
wherein f isj,kAnd
Figure BDA0002844124650000035
the frequencies of the k-th peak of the normalized frequency response function and the average frequency response function of the sample j are respectively, and m is the total number of peaks in the frequency response function.
The technical scheme provided by the embodiment of the invention has the beneficial effects that at least:
in the embodiment of the invention, the same hammering experiment is adopted to measure the acceleration and the force hammer signal for the same type of glass panel units, and the acceleration frequency response function is calculated; normalizing the acceleration frequency response functions of all samples, solving an average acceleration frequency response function, and calculating the accumulated difference of the acceleration frequency response functions of all samples; then solving the accumulated difference of the acceleration frequency response functions and the single-side confidence level upper limit, and identifying abnormal samples according to the single-side confidence level upper limit; and then judging the damage condition of the glass panel unit according to the peak frequency difference of the abnormal sample. The method can quickly identify the individual damaged structural sealant units in the similar glass panel units without an initial undamaged reference model, and has the advantages of simple experimental installation, easy operation, high detection speed and the like.
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In order to more clearly illustrate the technical solutions in the embodiments of the present invention, the drawings needed to be used in the description of the embodiments will be briefly introduced below, and it is obvious that the drawings in the following description are only some embodiments of the present invention, and it is obvious for those skilled in the art to obtain other drawings based on these drawings without creative efforts.
FIG. 1 is a flow chart of a method for identifying dynamic damage to a structural sealant under a reference-free model according to an embodiment of the present invention;
FIG. 2 is a schematic diagram of the dimensions of a panel unit according to an embodiment of the present invention;
FIG. 3 is a schematic diagram of acceleration frequency response functions of all samples according to an embodiment of the present invention;
FIG. 4 is a schematic diagram of the normalized acceleration frequency response function and the average acceleration frequency response function of all samples in an embodiment of the present invention;
5-13 are graphs comparing normalized acceleration frequency response function and average acceleration frequency response function of abnormal samples according to the embodiment of the invention.
Description of reference numerals: 1-glass panel unit, 2-sealing structural adhesive, 3-acceleration sensor, 4-force hammer, 5-signal acquisition instrument and 6-computer.
Detailed Description
In order to make the objects, technical solutions and advantages of the present invention more apparent, embodiments of the present invention will be described in detail with reference to the accompanying drawings.
The embodiment of the invention provides a dynamic damage identification method of a structural sealant under a no-reference model, as shown in figure 1, the method comprises the following steps:
taking the same type of glass panel units to be detected as a set, taking each glass panel unit in the set as a sample, measuring acceleration and force hammer signals of each sample j by adopting the same hammering experiment, and calculating an acceleration frequency response function Hj(ωk)；
Calculating sample acceleration frequencySound function Hj(ωk) Normalized frequency response function of mode
Figure BDA0002844124650000041
All in the set
Figure BDA0002844124650000042
Average frequency response function of
Figure BDA0002844124650000043
And calculate
Figure BDA0002844124650000044
Relative to
Figure BDA0002844124650000045
The cumulative difference E of the acceleration frequency response functionj；
Calculate all samples E in the setjMean value of
Figure BDA0002844124650000046
And unbiased estimate of variance
Figure BDA0002844124650000047
n is the total number of samples;
calculating the accumulated difference E of the acceleration frequency response function by adopting t distributionjOne-sided confidence interval ceiling at confidence 0.95
Figure BDA0002844124650000048
In the formula t0.95Representing the quantile of t distribution under 0.95 confidence;
for EjGreater than the single-sided confidence interval upper limit EuIs called an abnormal sample, and calculates the abnormal sample
Figure BDA0002844124650000049
And
Figure BDA00028441246500000410
peak frequency difference Δ f ofjWhen the peak frequency difference Δ f of the abnormal sample is larger than the threshold valuejLess than zero is a damaged sample.
According to the damage identification method provided by the embodiment of the invention, acceleration and force hammer signals are measured by adopting the same hammering experiment on the same type of glass panel units, and an acceleration frequency response function is calculated; normalizing the acceleration frequency response functions of all samples, solving an average acceleration frequency response function, and calculating the accumulated difference of the acceleration frequency response functions of all samples; then solving the accumulated difference of the acceleration frequency response functions and the single-side confidence level upper limit, and identifying abnormal samples according to the single-side confidence level upper limit; and then judging the damage condition of the glass panel unit according to the peak frequency difference of the abnormal sample. The method can quickly identify the individual damaged structural sealant units in the similar glass panel units without an initial undamaged reference model, and has the advantages of simple experimental installation, easy operation, high detection speed and the like.
Further, the normalized frequency response function
Figure BDA0002844124650000051
The calculation formula of (2) is as follows:
Figure BDA0002844124650000052
wherein, | Hj(ωk) I and I Hj(ωk)|maxAre respectively Hj(ωk) And the maximum of the mode.
The average frequency response function
Figure BDA0002844124650000053
The calculation formula of (2) is as follows:
Figure BDA0002844124650000054
the accumulated difference E of the acceleration frequency response functionjThe calculation formula of (2) is as follows:
Figure BDA0002844124650000055
and N is the number of effective frequencies of frequency response function analysis.
The peak frequency difference Δ fjThe calculation formula of (2) is as follows:
Figure BDA0002844124650000056
wherein f isj,kAnd
Figure BDA0002844124650000057
the frequencies of the k-th peak of the normalized frequency response function and the average frequency response function of the sample j are respectively, and m is the total number of peaks in the frequency response function.
In the embodiment of the invention, the same hammering experiment adopted by the same type of glass panel units to be detected means that each glass panel unit has the same size, thickness and installation mode, the vibration excitation position of the hammering experiment, the installation position of the acceleration sensor and the experiment data acquisition mode are set to be consistent, and the methods for calculating the acceleration frequency response function are consistent.
The process of the present invention will be described in detail with reference to specific examples.
A dynamic damage identification method of a sealing gum of a boundary structure under a non-reference model is adopted to test 26 glass panel units of a certain semi-hidden frame glass curtain wall, and the specific size and the total number of the panels are shown in the table 1.
TABLE 1 glass Panel Unit size and quantity
Figure BDA0002844124650000061
As shown in fig. 2, an acceleration sensor 3 is disposed at the intersection of the long side 1/4 and the short side 1/4 of each glass panel unit 1 (provided with a sealant 2 all around), and a pulse load is applied at the intersection of 1/4 by a force hammer 4. Signals of the acceleration sensor 3 and the force hammer 4 are transmitted to the computer 6 through the signal acquisition instrument 5, and acceleration frequency response functions of all samples are calculated as shown in fig. 3. The acceleration frequency response function of each sample is normalized and averaged as shown in fig. 4, and the number indicates the peak frequency position used for calculation.
The cumulative difference of the acceleration frequency response functions in the frequency range of 7.5Hz to 242.24Hz was calculated as shown in Table 2. Calculate all samples EjMean value of
Figure BDA0002844124650000065
Unbiased estimate of variance S*2And the upper limit E of the single-sided confidence interval at the confidence level of 0.95uAs shown in table 3.
TABLE 2 results of cumulative differences in acceleration frequency response function
Figure BDA0002844124650000062
TABLE 3 statistical results of the experiments
Figure BDA0002844124650000063
According to EuValues and E of each cell in Table 2j Samples 1, 5, 8, 9, 11, 19, 22, 23, and 24 were found to be abnormal samples. Comparing the peak frequency of the normalized frequency response function and the average frequency response function of each abnormal sample, the results are shown in fig. 5, fig. 6, fig. 7, fig. 8, fig. 9, fig. 10, fig. 11, fig. 12 and fig. 13. The peak frequency difference of the abnormal sample is shown in table 4.
TABLE 4 unusual Single sample Peak frequency Difference (Hz)
Figure BDA0002844124650000064
Wherein, the peak frequency difference between the sample 5 and the sample 8 is smaller than zero, so that the two samples are judged to have the damage.
In summary, the method of the present invention firstly performs a hammering experiment on glass panel units with the same size and mounting method to determine an acceleration frequency response function; then, calculating the accumulated difference of the acceleration frequency response function by taking the average value of the normalized frequency response function as a reference; and then, performing interval estimation on the accumulated difference of the acceleration frequency response function, and evaluating the damage condition of the panel according to the relation between the sample frequency response function and the average frequency response function peak frequency. The invention can quickly identify the individual damaged structural sealant units in the similar glass panel units without an initial undamaged reference model, and has the advantages of simple experimental installation, easy operation, high detection speed and the like.
The above description is only for the purpose of illustrating the preferred embodiments of the present invention and is not to be construed as limiting the invention, and any modifications, equivalents, improvements and the like that fall within the spirit and principle of the present invention are intended to be included therein.

Claims (6)

1. A dynamic damage identification method for a structural sealant under a benchmark model is characterized by comprising the following steps:
taking the same type of glass panel units to be detected as a set, taking each glass panel unit in the set as a sample, measuring acceleration and force hammer signals of each sample j by adopting the same hammering experiment, and calculating an acceleration frequency response function Hj(ωk)；
Calculating sample acceleration frequency response function Hj(ωk) Normalized frequency response function of mode
Figure FDA0002844124640000011
All in the set
Figure FDA0002844124640000012
Average frequency response function of
Figure FDA0002844124640000013
And calculate
Figure FDA0002844124640000014
Relative to
Figure FDA0002844124640000015
The cumulative difference E of the acceleration frequency response functionj；
Calculate all samples E in the setjMean value of
Figure FDA0002844124640000016
And unbiased estimate of variance
Figure FDA0002844124640000017
n is the total number of samples;
calculating the accumulated difference E of the acceleration frequency response function by adopting t distributionjOne-sided confidence interval ceiling at confidence 0.95
Figure FDA0002844124640000018
In the formula t0.95Representing the quantile of t distribution under 0.95 confidence;
for EjGreater than the single-sided confidence interval upper limit EuIs called an abnormal sample, and calculates the abnormal sample
Figure FDA0002844124640000019
And
Figure FDA00028441246400000110
peak frequency difference Δ f ofjWhen the peak frequency difference Δ f of the abnormal sample is larger than the threshold valuejLess than zero is a damaged sample.
2. The method for identifying dynamic damage to structural sealant under non-reference model as claimed in claim 1, wherein the same hammering experiment used for the same kind of glass panel units to be tested means that each glass panel unit has the same size, thickness and installation mode, the setting of the excitation position of the hammering experiment, the installation position of the acceleration sensor and the experimental data acquisition mode are consistent, and the method for calculating the acceleration frequency response function is consistent.
3. The method of claim 1 wherein the normalized frequency response function is used to identify dynamic damage to a structural sealant under a model without reference
Figure FDA00028441246400000111
The calculation formula of (2) is as follows:
Figure FDA00028441246400000112
wherein, | Hj(ωk) I and I Hj(ωk)|maxAre respectively Hj(ωk) And the maximum of the mode.
4. The method of claim 3 wherein said mean frequency response function is a function of the dynamic damage of the structural sealant under the model without reference
Figure FDA0002844124640000021
The calculation formula of (2) is as follows:
Figure FDA0002844124640000022
5. the method of claim 1 wherein said cumulative difference in acceleration frequency response function E is a dynamic damage identification of a structural sealant under a model without referencejThe calculation formula of (2) is as follows:
Figure FDA0002844124640000023
and N is the number of effective frequencies of frequency response function analysis.
6. The method of claim 1 wherein said peak frequency difference Δ f is greater than or equal to a predetermined valuejThe calculation formula of (2) is as follows:
Figure FDA0002844124640000024
wherein f isj,kAnd
Figure FDA0002844124640000025
the frequencies of the k-th peak of the normalized frequency response function and the average frequency response function of the sample j are respectively, and m is the total number of peaks in the frequency response function.
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