CN114964668A - Vibration amplitude extraction method for testing dynamic deflection of bridge based on millimeter wave radar - Google Patents
Vibration amplitude extraction method for testing dynamic deflection of bridge based on millimeter wave radar Download PDFInfo
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- CN114964668A CN114964668A CN202210590889.8A CN202210590889A CN114964668A CN 114964668 A CN114964668 A CN 114964668A CN 202210590889 A CN202210590889 A CN 202210590889A CN 114964668 A CN114964668 A CN 114964668A
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01M—TESTING STATIC OR DYNAMIC BALANCE OF MACHINES OR STRUCTURES; TESTING OF STRUCTURES OR APPARATUS, NOT OTHERWISE PROVIDED FOR
- G01M5/00—Investigating the elasticity of structures, e.g. deflection of bridges or air-craft wings
- G01M5/0008—Investigating the elasticity of structures, e.g. deflection of bridges or air-craft wings of bridges
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01B—MEASURING LENGTH, THICKNESS OR SIMILAR LINEAR DIMENSIONS; MEASURING ANGLES; MEASURING AREAS; MEASURING IRREGULARITIES OF SURFACES OR CONTOURS
- G01B15/00—Measuring arrangements characterised by the use of electromagnetic waves or particle radiation, e.g. by the use of microwaves, X-rays, gamma rays or electrons
- G01B15/06—Measuring arrangements characterised by the use of electromagnetic waves or particle radiation, e.g. by the use of microwaves, X-rays, gamma rays or electrons for measuring the deformation in a solid
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01H—MEASUREMENT OF MECHANICAL VIBRATIONS OR ULTRASONIC, SONIC OR INFRASONIC WAVES
- G01H9/00—Measuring mechanical vibrations or ultrasonic, sonic or infrasonic waves by using radiation-sensitive means, e.g. optical means
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01M—TESTING STATIC OR DYNAMIC BALANCE OF MACHINES OR STRUCTURES; TESTING OF STRUCTURES OR APPARATUS, NOT OTHERWISE PROVIDED FOR
- G01M5/00—Investigating the elasticity of structures, e.g. deflection of bridges or air-craft wings
- G01M5/0041—Investigating the elasticity of structures, e.g. deflection of bridges or air-craft wings by determining deflection or stress
- G01M5/005—Investigating the elasticity of structures, e.g. deflection of bridges or air-craft wings by determining deflection or stress by means of external apparatus, e.g. test benches or portable test systems
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Abstract
The application relates to the technical field of bridge bearing test, in particular to a vibration amplitude extraction method for testing bridge dynamic deflection based on a millimeter wave radar, which comprises the following steps: acquiring a dynamic deflection time-course curve of the bridge, wherein the dynamic deflection time-course curve represents the displacement of a test point of the bridge in the dynamic deflection test process; performing data fitting on the dynamic deflection time-course curve to obtain a static load deflection time-course curve; establishing a high-frequency vibration time course curve by taking the static deflection time course curve as a datum line according to the dynamic deflection time course curve, wherein the high-frequency vibration time course curve represents the difference between the dynamic deflection value and the static deflection value at different moments; the method comprises the steps of taking the time corresponding to the maximum dynamic deflection value as a reference, extracting the vibration amplitude in the high-frequency vibration time course curve, and extracting the vibration amplitude of the bridge based on the condition that the millimeter wave radar tests the dynamic deflection of the bridge.
Description
Technical Field
The application relates to the technical field of bridge bearing tests, in particular to a vibration amplitude extraction method for testing bridge dynamic deflection based on a millimeter wave radar.
Background
At present, the evaluation of the load bearing capacity of a highway bridge in China is mainly based on a load test method recommended in a standard, and the load test comprises a static load test and a dynamic load test, wherein the dynamic load test is carried out by evaluating the rigidity of a structure according to the structural fundamental frequency in the current standard, but researches show that the dynamic vibration amplitude of the upper structure of the bridge can also evaluate the vibration intensity of the bridge under the action of vehicle load, so that the dynamic vibration amplitude is used for evaluating the structural rigidity of the bridge. However, no method capable of extracting the vibration amplitude of the bridge exists in the related art.
Disclosure of Invention
In order to extract the bridge vibration amplitude, the application provides a vibration amplitude extraction method for testing the dynamic deflection of the bridge based on a millimeter wave radar.
In a first aspect of the application, a vibration amplitude extraction method for testing bridge dynamic deflection based on a millimeter wave radar is provided, and the method comprises the following steps: acquiring a dynamic deflection time-course curve of the bridge, wherein the dynamic deflection time-course curve represents the displacement of a test point of the bridge in the dynamic deflection test process; performing data fitting on the dynamic deflection time-course curve to obtain a static load deflection time-course curve; establishing a high-frequency vibration time course curve by taking the static deflection time course curve as a datum line according to the dynamic deflection time course curve, wherein the high-frequency vibration time course curve represents the difference between the dynamic deflection value and the static deflection value at different moments; and extracting the vibration amplitude from the high-frequency vibration time-course curve by taking the time corresponding to the maximum dynamic deflection value as a reference.
By adopting the technical scheme, after a dynamic deflection time-course curve obtained by performing a dynamic deflection test on the bridge is obtained, data fitting is performed on the curve to obtain a static load deflection time-course curve, which is equivalent to a deflection curve under a static action, then a high-frequency vibration time-course curve is constructed based on the dynamic deflection time-course curve and the static load deflection time-course curve, and the vibration amplitude under the dynamic deflection test of the bridge can be extracted and obtained according to the constructed high-frequency vibration time-course curve.
Preferably, the establishing of the high-frequency vibration time course curve according to the dynamic deflection time course curve by taking the static deflection time course curve as a reference line comprises the following steps:
calculating the difference value of the dynamic deflection time-course curve and the static load deflection time-course curve at the same moment by taking the static deflection time-course curve as a reference line to serve as a high-frequency vibration component;
and establishing a high-frequency vibration time-course curve for the high-frequency vibration component based on the time coordinate of the dynamic deflection time-course curve.
Preferably, the vibration amplitude is extracted from the high-frequency vibration time course curve based on a waveform analysis method.
Preferably, the extracting of the vibration amplitude in the high-frequency vibration time-course curve based on a waveform analysis method with the time corresponding to the maximum dynamic deflection value as a reference comprises:
taking the time corresponding to the maximum dynamic deflection value as a central point, and extracting corresponding complete waveforms of preset quantity at two sides;
the vibration amplitude is calculated based on the peak value and the valley value of the extracted waveform.
Preferably, the difference between the amplitudes of the extracted preset number of corresponding complete waveforms on both sides is less than or equal to a preset difference.
Preferably, the preset number is greater than one, and if the amplitude difference value of the corresponding complete waveforms of the preset number on the two sides is greater than the preset difference value, one corresponding complete waveform on the two sides can be extracted.
Preferably, corner reflectors are distributed on the test section, the dynamic deflection of the bridge is tested through a millimeter wave radar, or a wireless distributed millimeter wave radar test system is adopted to test the dynamic deflection of the bridge.
And preselecting, wherein the sampling frequency of the corner reflector and the wireless distributed millimeter wave radar test system is not less than ten times of the bridge analysis frequency.
Preferably, the dynamic deflection time-course curve is subjected to data fitting based on a polynomial fitting method, a least square method or a wavelet analysis method to obtain a static load deflection time-course curve.
Drawings
The above and other features, advantages and aspects of various embodiments of the present application will become more apparent by referring to the following detailed description when taken in conjunction with the accompanying drawings. In the drawings, like or similar reference characters denote like or similar elements, and wherein:
fig. 1 shows a flow chart of a vibration amplitude extraction method for testing dynamic deflection of a bridge based on a millimeter wave radar in the embodiment of the application.
FIG. 2 shows a schematic diagram of a millimeter wave radar-based bridge test in an embodiment.
Fig. 3 shows a schematic diagram of a dynamic deflection time course curve in an embodiment.
Fig. 4 shows a schematic diagram of a curve fitted to a dynamic deflection time course curve in one embodiment.
Detailed Description
In order to make the objects, technical solutions and advantages of the embodiments of the present application clearer, the technical solutions in the embodiments of the present application will be clearly and completely described below with reference to the drawings in the embodiments of the present application, and it is obvious that the described embodiments are some embodiments of the present application, but not all embodiments. All other embodiments obtained by a person of ordinary skill in the art based on the embodiments in the present application without making any creative effort belong to the protection scope of the present application.
At present, the evaluation of the load bearing capacity of the highway bridge in China is mainly based on a load test method recommended in a standard, the load test comprises a static load test and a dynamic load test, the standard recommends that a check coefficient is adopted for evaluation in the static load test, the current standard of the dynamic load test is to evaluate the rigidity of a structure through the fundamental frequency of the structure, and no quantitative evaluation index exists for the dynamic vibration amplitude of an upper structure. However, the vibration amplitude of the bridge is also an important index for evaluating the vibration intensity of the bridge, and when a detector senses that the vibration of the bridge is relatively severe on the bridge, the vibration amplitude of the bridge needs to be analyzed, or when a static load test or a dynamic load test of the bridge evaluates that the static and dynamic stiffness of the bridge is relatively insufficient, the vibration amplitude of the bridge needs to be tested and analyzed.
The millimeter wave radar technology has the advantages of non-contact measurement, all-weather, high precision, multi-target real-time dynamic measurement and the like, can well solve the industrial problem of bridge dynamic deflection test, can conveniently obtain the vibration amplitude of a bridge under the action of vehicle load by performing data fitting and analysis on the dynamic deflection time-course curve obtained by measurement, and has the advantage that the vibration amplitude of the bridge in a better condition is surely in a reasonable range unless the structural rigidity is changed. Therefore, the application provides a vibration amplitude extraction method for testing bridge dynamic deflection based on a millimeter wave radar.
Fig. 1 is a flowchart of a vibration amplitude extraction method for testing dynamic deflection of a bridge based on a millimeter wave radar in the embodiment of the present application, and as shown in fig. 1, the method includes:
step S101, acquiring a dynamic deflection time-course curve of the bridge, wherein the dynamic deflection time-course curve represents the displacement of a test point of the bridge in the dynamic deflection test process.
In the embodiment of the application, the dynamic deflection time-course curve of the bridge is obtained based on a millimeter wave radar test. In some application embodiments, corner reflectors can be arranged on the test section, the dynamic deflection of the bridge is tested through a millimeter wave radar, or a wireless distributed millimeter wave radar test system is adopted to test the dynamic deflection of the bridge. The test modes of the two millimeter wave radars can be selected according to the field conditions of the bridge, and the test point arrangement mode of arranging corner reflectors in the bridge structure can be adopted for the condition that water exists under the bridge or equipment is inconvenient to arrange under the corresponding test point under the bridge; for the condition that detection equipment is easily arranged under a bridge, a millimeter wave radar test system can be arranged for testing by utilizing wireless distribution. No matter the corner reflector or the wireless distributed millimeter wave radar test system is adopted to test the dynamic deflection of the bridge, the sampling frequency is not less than ten times of the analysis frequency of the bridge.
In some application embodiments, when the millimeter wave radar is used for testing the dynamic deflection of the bridge, a bridge roadster test is used for testing, and because the vibration amplitude of the bridge has a direct relation with the speed of the roadster test, different speeds are set for testing under different working conditions when the millimeter wave radar is used for testing, for example, the speeds are respectively 10km/h, 20km/h, 30km/h and the like, and dynamic deflection time course curves are collected according to different testing working conditions.
It should be noted that the vibration amplitude of the bridge has a relationship with the test vehicle, and in order to unify the evaluation standard for the vibration amplitude, the standard vehicle for testing the bridge needs to be determined according to the bridge design load. If the bridge design load is steam-15 grade, the main vehicle is 15t and the heavy vehicle is 20t in the bridge design load standard, and the heavy vehicle is selected as a test standard vehicle for the bridge vibration amplitude test. And the analogy is that: for the steam-20 level load, a standard vehicle is selected to be 30 t; for the automobile super-20 grade, 55t standard vehicles are selected, and for the highway-I grade and highway-II grade loads, 55t vehicles are selected as the standard vehicles. Considering that the current bridge overweight vehicle load limit standard is 49t, 49t vehicles can be selected as the standard vehicles for the standard vehicles of 55 t.
When millimeter wave radar test is carried out, firstly, a transmitting antenna (TX) feeds microwave signals, the signals form backscattering signals through interaction with a target, finally, the backscattering signals are received by a receiving antenna (RX), and a sampling complex signal measured at this time can be obtained through related signal and data processing steps, wherein the sampling complex signal comprises signal intensity and an observation phase value phi 1. The millimeter wave radar system continuously samples the target in the radiation field area, and if the target is deformed by delta r at the beginning of the second sampling, the second sampling complex signal obtained by the radar comprises corresponding signal intensity and an observation phase value phi 2, the deformation phase is the difference value of two observation phases, the observation phase and the phase difference are both planned to an interval of [ -pi, pi), and the quadrant of the angle is required to be judged when the angle difference is calculated. In order to avoid frequently judging the quadrant where the angle is located, the interference phase is usually extracted by conjugate multiplication of complex numbers.
Because the change of the distance is measured by adopting an interference method, the measurement precision of the length change on the sight line can reach 0.01-0.1 mm. And because the ground-based millimeter wave radar system has higher resolution in time and space, the deformation time sequence of a plurality of continuous resolution units can be extracted from the deformation monitoring data, and the deflection, the line shape and the vibration characteristics of the deformation time sequence are analyzed. When the mobile deflection test is carried out on the bridge, an instrument is firstly arranged below the bottom of the bridge, and the measuring direction of the instrument is adjusted. As shown in fig. 2, for a certain deformation unit, the instrument can measure the length (slope distance) R of the sight line from the center of the deformation unit to the deformation unit and the slight change R of the sight line to the upper length, and to obtain the slight change d of the deformation unit in the vertical direction, the instrument needs to be transformed, so the height h of the instrument to the bridge bottom surface needs to be measured, and then the change R of the sight line is converted into the change d of the vertical direction through a triangular similarity relationship, which is shown in the following formula: d =
. Through the conversion process, the displacement of the test point in the process of carrying out dynamic deflection test on the bridge can be obtained, and the dynamic deflection time-course curve of the bridge can be obtained according to the time sequence, as shown in fig. 3, the dynamic deflection time-course curve schematic diagram of the millimeter wave radar test point on the bridge test is shown. After the dynamic deflection time-course curve of the bridge is obtained, the following operation can be carried out on the curve, and the vibration amplitude of the bridge is extracted and obtained.
And S102, performing data fitting on the deflection time-course curve to obtain a static load deflection time-course curve.
When the bridge is in a sports car test, the vibration amplitude of the bridge is the maximum dynamic deflection value minus the maximum static deflection value in a dynamic test, the maximum static deflection value is the static deflection value of the same load at the position where the bridge generates the maximum dynamic deflection value in the dynamic test, namely the vibration amplitude of the bridge refers to the variation amplitude of a dynamic component (dynamic deflection value) on the basis of a static component (static deflection value), and reflects the action of a vehicle on the power increase of the bridge deflection. Therefore, in the embodiment of the application, after the dynamic deflection time-course curve of the bridge is obtained, the dynamic deflection time-course curve needs to be fitted to obtain the static load deflection time-course curve under the same load condition.
In order to extract the static load deflection time course curve which is equivalent to the static effect corresponding to the same sports car load in the dynamic deflection time course curve, the dynamic deflection time course curve needs to be fitted, as shown in fig. 4, the curve is a schematic diagram of the curve fitted to the dynamic deflection time course curve in one embodiment, and the dotted line in the diagram is the static load deflection time course curve obtained after the dynamic deflection time course curve is fitted. In some application embodiments, the static load deflection time-course curve may be obtained by performing data fitting on the dynamic deflection time-course curve based on a polynomial fitting method, a least square method or a wavelet analysis method.
And step S103, establishing a high-frequency vibration time course curve by taking the static deflection time course curve as a reference line according to the dynamic deflection time course curve, wherein the high-frequency vibration time course curve represents the difference value between the dynamic deflection value and the static deflection value at the same moment.
In the embodiment of the application, in order to accurately and conveniently extract the vibration amplitude of the bridge, a high-frequency vibration time course curve is constructed based on the obtained dynamic deflection time course curve and a static load deflection time course curve obtained by fitting, and the high-frequency vibration time course curve is used for representing the difference value between the dynamic deflection value and the static deflection value of the bridge under the same load condition at different moments.
In some embodiments, constructing the high frequency vibration time course curve comprises the steps of:
and step A1, taking the static deflection time-course curve as a reference line, and calculating the difference value of the dynamic deflection time-course curve and the static load deflection time-course curve at the same moment as a high-frequency vibration component.
And step A2, establishing a high-frequency vibration time-course curve for the high-frequency vibration component based on the time coordinate of the dynamic deflection time-course curve.
Taking the static load deflection time-course curve obtained by fitting as a reference line, namely taking the time coordinates of the dynamic deflection time-course curve and the static load deflection time-course curve as reference, and subtracting the fitting value of the corresponding moment of the fitted static load deflection time-course curve from the displacement value of the corresponding dynamic deflection time-course curve to obtain the high-frequency vibration component of the bridge; and constructing the high-frequency vibration time-course curve according to the time coordinate of the dynamic deflection time-course curve and the high-frequency vibration component obtained by calculation.
And step S104, extracting the vibration amplitude from the high-frequency vibration time course curve by taking the time corresponding to the maximum dynamic deflection value as a reference.
In the embodiment of the application, the method for extracting the vibration amplitude of the bridge is based on a waveform analysis method, the time domain waveform analysis is performed on the obtained high-frequency vibration time-course curve, and the vibration amplitude of the bridge is extracted by taking the time corresponding to the maximum dynamic deflection value as a reference.
In some application embodiments, the process of extracting the vibration amplitude in the high-frequency vibration time-course curve based on the waveform analysis method by using the time corresponding to the maximum dynamic deflection value as a reference comprises the following steps: taking the time corresponding to the maximum dynamic deflection value as a central point, and extracting corresponding complete waveforms of preset quantity at two sides; the vibration amplitude is calculated based on the peak value and the valley value of the extracted waveform. In the embodiment of the application, the static load deflection time-course curve and the high-frequency vibration time-course curve are generated based on the dynamic deflection time-course curve, so that time coordinates of the three curves are the same, the maximum dynamic deflection value in the dynamic deflection time-course curve, namely the maximum displacement value, and the corresponding time is taken as a central point, a preset number of corresponding complete waveforms are extracted from two sides of the central point in the high-frequency vibration time-course curve, and the vibration amplitude of the bridge is determined according to the extracted waveforms. Preferably, the amplitude difference between all waveforms extracted from the high-frequency vibration time-course curve should be less than or equal to a preset difference, and if the amplitude difference between a preset number of corresponding complete waveforms on both sides extracted is greater than the preset difference, a corresponding complete waveform on both sides can be extracted, that is, only one complete waveform on both sides of the time center point on the high-frequency vibration time-course curve is extracted to determine the vibration amplitude.
For the calculation of the vibration amplitude, the method for calculating the vibration amplitude based on the time domain waveform analysis method adopts a waveform analysis method, and the amplitude participating in the calculation has three forms: only the wave peak value is adopted; only the valley value is used; peak and trough values are used simultaneously. Under the sports car test, the vibration amplitude of the bridge can change along with the movement of the car, the method for calculating the peak value and the trough value is adopted, and the calculation accuracy is relatively high.
It is noted that while for simplicity of explanation, the foregoing method embodiments have been described as a series of acts or combination of acts, it will be appreciated by those skilled in the art that the present disclosure is not limited by the order of acts, as some steps may, in accordance with the present disclosure, occur in other orders and concurrently. Further, those skilled in the art should also appreciate that the embodiments described in the specification are exemplary embodiments and that acts and modules referred to are not necessarily required by the disclosure.
Through the process, the vibration amplitude of the bridge is accurately and conveniently extracted based on the dynamic deflection time-course curve obtained by the dynamic deflection test of the millimeter wave radar on the bridge, and the method can be used for evaluating the structure of the bridge subsequently.
It should be understood that, although the steps in the flowcharts of the figures are shown in order as indicated by the arrows, the steps are not necessarily performed in order as indicated by the arrows. The steps are not performed in the exact order shown and may be performed in other orders unless explicitly stated herein. Moreover, at least a portion of the steps in the flow chart of the figure may include multiple sub-steps or multiple stages, which are not necessarily performed at the same time, but may be performed at different times, which are not necessarily performed in sequence, but may be performed alternately or alternately with other steps or at least a portion of the sub-steps or stages of other steps.
The foregoing is only a partial embodiment of the present application, and it should be noted that, for those skilled in the art, several modifications and decorations can be made without departing from the principle of the present application, and these modifications and decorations should also be regarded as the protection scope of the present application.
Claims (9)
1. A vibration amplitude extraction method for testing dynamic deflection of a bridge based on a millimeter wave radar is characterized by comprising the following steps:
acquiring a dynamic deflection time-course curve of the bridge, wherein the dynamic deflection time-course curve represents the displacement of a test point of the bridge in the dynamic deflection test process;
performing data fitting on the dynamic deflection time-course curve to obtain a static load deflection time-course curve;
establishing a high-frequency vibration time course curve by taking the static deflection time course curve as a datum line according to the dynamic deflection time course curve, wherein the high-frequency vibration time course curve represents the difference between the dynamic deflection value and the static deflection value at different moments;
and extracting the vibration amplitude from the high-frequency vibration time-course curve by taking the time corresponding to the maximum dynamic deflection value as a reference.
2. The method for extracting the vibration amplitude based on the millimeter wave radar test bridge dynamic deflection as claimed in claim 1, wherein the step of establishing a high-frequency vibration time course curve according to the dynamic deflection time course curve by taking the static deflection time course curve as a reference line comprises the following steps:
calculating the difference value of the dynamic deflection time-course curve and the static load deflection time-course curve at the same moment by taking the static deflection time-course curve as a reference line to serve as a high-frequency vibration component;
and establishing a high-frequency vibration time-course curve for the high-frequency vibration component based on the time coordinate of the dynamic deflection time-course curve.
3. The method for extracting vibration amplitude based on millimeter wave radar test bridge dynamic deflection as claimed in claim 1, wherein the vibration amplitude is extracted from the high-frequency vibration time-course curve based on a waveform analysis method.
4. The method for extracting the vibration amplitude based on the millimeter wave radar test bridge dynamic deflection is characterized in that the vibration amplitude is extracted from the high-frequency vibration time-course curve based on a waveform analysis method by taking the time corresponding to the maximum dynamic deflection value as a reference, and the method comprises the following steps:
taking the time corresponding to the maximum dynamic deflection value as a central point, and extracting corresponding complete waveforms of preset quantity at two sides;
the vibration amplitude is calculated based on the peak value and the valley value of the extracted waveform.
5. The method for extracting vibration amplitude based on millimeter wave radar test bridge dynamic deflection as claimed in claim 4, wherein the difference between the amplitudes of the corresponding complete waveforms of the preset number on both sides of the extraction is less than or equal to a preset difference.
6. The method for extracting vibration amplitude based on millimeter wave radar test bridge dynamic deflection as claimed in claim 5, wherein the predetermined number is greater than one, and if the amplitude difference value of the corresponding complete waveforms of the predetermined number of the two sides extracted is greater than the predetermined difference value, one corresponding complete waveform of the two sides can be extracted.
7. The method for extracting vibration amplitude based on millimeter wave radar test bridge dynamic deflection as claimed in claim 1, wherein a corner reflector is arranged on the test section, and the bridge dynamic deflection is tested by a millimeter wave radar or a wireless distributed millimeter wave radar test system is adopted to test the bridge dynamic deflection.
8. The method for extracting vibration amplitude based on millimeter wave radar test bridge dynamic deflection as claimed in claim 7, wherein the sampling frequency of the corner reflector and the wireless distributed millimeter wave radar test system is not less than ten times of the bridge analysis frequency.
9. The method for extracting vibration amplitude based on millimeter wave radar testing bridge dynamic deflection as claimed in claim 1, wherein the dynamic deflection time course curve is subjected to data fitting based on a polynomial fitting method, a least square method or a wavelet analysis method to obtain a static load deflection time course curve.
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| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN102620900A (en) * | 2012-04-01 | 2012-08-01 | 长安大学 | Method for detecting bridge impact coefficient based on dynamic load test |
| CN112764025A (en) * | 2020-12-31 | 2021-05-07 | 江西商思伏沌科技有限公司 | Bridge pier monitoring system and monitoring method based on millimeter wave radar |
| CN112945490A (en) * | 2021-02-04 | 2021-06-11 | 北京路桥瑞通科技发展有限公司 | Method for testing bearing capacity of bridge based on deflection influence line |
| CN112945489A (en) * | 2021-02-04 | 2021-06-11 | 北京路桥瑞通科技发展有限公司 | Method for testing bridge deflection based on millimeter wave radar |
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2022
- 2022-05-27 CN CN202210590889.8A patent/CN114964668B/en active Active
Patent Citations (4)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN102620900A (en) * | 2012-04-01 | 2012-08-01 | 长安大学 | Method for detecting bridge impact coefficient based on dynamic load test |
| CN112764025A (en) * | 2020-12-31 | 2021-05-07 | 江西商思伏沌科技有限公司 | Bridge pier monitoring system and monitoring method based on millimeter wave radar |
| CN112945490A (en) * | 2021-02-04 | 2021-06-11 | 北京路桥瑞通科技发展有限公司 | Method for testing bearing capacity of bridge based on deflection influence line |
| CN112945489A (en) * | 2021-02-04 | 2021-06-11 | 北京路桥瑞通科技发展有限公司 | Method for testing bridge deflection based on millimeter wave radar |
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