WO2024011746A1 - 基于滚动载荷作用下变形速度的弯沉盆检测方法及装置 - Google Patents
基于滚动载荷作用下变形速度的弯沉盆检测方法及装置 Download PDFInfo
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- E—FIXED CONSTRUCTIONS
- E01—CONSTRUCTION OF ROADS, RAILWAYS, OR BRIDGES
- E01C—CONSTRUCTION OF, OR SURFACES FOR, ROADS, SPORTS GROUNDS, OR THE LIKE; MACHINES OR AUXILIARY TOOLS FOR CONSTRUCTION OR REPAIR
- E01C23/00—Auxiliary devices or arrangements for constructing, repairing, reconditioning, or taking-up road or like surfaces
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Definitions
- This application relates to the technical field of highway pavement and airport pavement detection, and in particular to a deflection basin detection method and device based on deformation speed under rolling load.
- Highway pavement/airport pavement deflection detection is the basis for evaluating the bearing capacity of the pavement and is crucial for the control and inspection of project quality.
- Traditional deflection measurement methods are based on direct displacement measurement methods, that is, directly measuring the displacement of the road surface under the action of force. Representative methods include Beckmann beam and FWD (Falling Weight Deflectometer). These methods all use the measurement method of dynamic driving combined with static measurement. The measurement efficiency is low, the impact on traffic is great, and there are huge safety hazards. They cannot meet the requirements of road preventive maintenance (preventive maintenance) and perform dynamic bending of the road network in a short period of time. sink measurement requirements.
- the representative technologies include TSD (Traffic Speed Deflectometer, traffic speed deflectometer), HSD (High Speed Deflectograph, high-speed curve Shen detection equipment) and LDD (Laser Dynamic Deflectometer, laser dynamic deflectometer), etc.
- TSD Traffic Speed Deflectometer, traffic speed deflectometer
- HSD High Speed Deflectograph, high-speed curve Shen detection equipment
- LDD Laser Dynamic Deflectometer, laser dynamic deflectometer
- This type of measurement system consists of multiple Doppler vibrometers, one of which is used to measure the data of the vertical deformation velocity of the road outside the deflection basin (for example, 3.6 meters) without reference, and the other Doppler vibrometers are used To measure the vertical deformation speed of the road surface in the deflection basin under the 50KN load wheel.
- This type of equipment can normally measure the maximum deflection value of the load center of the actual road network at 20-90km/h.
- the load-bearing performance of a structural layer can be reflected by the maximum deflection value of the load center, the load-bearing performance of a certain structural layer cannot be characterized.
- the deflection of load centers with similar bearing capacity may differ greatly.
- the deflection of a single point on the road surface cannot well reflect the actual load-bearing capacity of the pavement structure, and it is obviously unreasonable to use it to make pavement reinforcement design or maintenance decisions.
- This application provides a method and device for detecting deflection basins based on deformation speed under rolling load, to solve the problem in the prior art that it is difficult to detect deflection basins quickly, and to achieve continuous and rapid detection of deflection basins.
- This application provides a deflection basin detection method based on deformation speed under rolling load, including:
- each response time interval corresponding to each target position duration Based on each measurement time corresponding to each target position, the road vertical deformation speed at each measurement time corresponding to each target position, and the road surface vertical deformation speed knowledge base model, obtain each response time interval corresponding to each target position duration;
- Each response time interval represents the vertical deformation speed of the road surface
- each of the target positions includes a first measurement point and at least three second measurement points; the first measurement point is the location of the measurement point corresponding to the load center position in the target deflection basin, and the second measurement point is the position of the remaining measuring points in the target deflection basin except the load center position; the measurement time corresponding to each target position is determined by the load moving speed and the speedometer in the deflection basin detection system. The horizontal installation position is calculated.
- a deflection basin detection method based on deformation speed under rolling load is provided, which is suitable for detection of deflection basins on highway pavements or airport pavements;
- the detection results of the target deflection basin are corrected.
- the vertical deformation of the road surface based on each measurement time corresponding to each target position and each measurement time corresponding to each target position is Speed and road surface vertical deformation speed knowledge base model to obtain the duration of each response time interval corresponding to each target position, including:
- each first duration is the time difference between two adjacent measurement moments corresponding to any of the target positions;
- the deformation velocity of the second measurement point under the action of the load is obtained. response start time;
- the duration of each response time interval of the second measurement point is obtained.
- the representative road vertical deformation speed based on each response time interval corresponding to each target position and the corresponding corresponding target position includes:
- For each target position obtain the cumulative vertical deformation amount of the target position based on the representative road vertical deformation speed of each response time interval corresponding to the target position and the duration of the response time interval;
- Obtaining the cumulative vertical deformation amount of the target position based on the representative road vertical deformation speed of each response time interval corresponding to the target position and the duration of the response time interval includes:
- the sum of each product is obtained as the cumulative vertical deformation of the target position.
- the vertical deformation speed of the road surface at each measurement time corresponding to each target position, each response corresponding to each target position, The duration of the time interval and the road surface vertical deformation speed knowledge base model are used to obtain the representative road surface vertical deformation speed of each response time interval corresponding to each target position, including:
- the speed knowledge base model obtains the representative road vertical deformation speed of each response time interval corresponding to each target position.
- the detection results of the target deflection basin include the cumulative vertical deformation amount of each target position
- the method of correcting the detection results of the target deflection basin based on the measurement environment information of the target deflection basin and the deflection basin correction knowledge base model includes:
- the accumulated vertical deformation of the target position is corrected based on the correction coefficient of the target position.
- the vertical deformation speed of the road surface at each measurement time corresponding to the first measurement point and the The road surface vertical deformation speed knowledge base model is used to obtain the response start time and response end time of the first measurement point under the load, including:
- the road surface vertical deformation speed and the road surface vertical deformation speed of multiple measurement moments corresponding to the first measurement point that are close to the response start time of the first measurement point under the load Based on the first duration, the road surface vertical deformation speed and the road surface vertical deformation speed of multiple measurement moments corresponding to the first measurement point that are close to the response start time of the first measurement point under the load.
- Deformation speed knowledge base model to obtain the response start time of the first measurement point under the action of the load;
- the road surface vertical deformation speed and the road surface vertical deformation speed of multiple measurement moments corresponding to the first measurement point that are close to the response end time of the first measurement point under the load Based on the first duration, the road surface vertical deformation speed and the road surface vertical deformation speed of multiple measurement moments corresponding to the first measurement point that are close to the response end time of the first measurement point under the load.
- the deformation speed knowledge base model, as well as the moving position information of the load and the moving speed information of the load obtain the response end time of the first measurement point under the action of the load.
- obtaining the response start time of the first measurement point under the load includes:
- the obtaining the response start time of the second measurement point under the load includes:
- Obtaining the response end time of the first measurement point under the load includes:
- the response end time of the first measurement point under the load is obtained.
- This application also provides a deflection basin detection device based on the road surface deformation speed under rolling load, including:
- the original velocity acquisition module is used to obtain the vertical deformation velocity of the road surface at each measurement moment corresponding to each target position in the target deflection basin during the load movement;
- a duration acquisition module configured to obtain each target position based on each measurement time corresponding to each target position, the road vertical deformation speed at each measurement time corresponding to each target position, and the road surface vertical deformation speed knowledge base model. The corresponding length of each response time interval;
- a deflection basin detection module configured to obtain the target deflection basin based on the representative road vertical deformation speed of each response time interval corresponding to each target position and the duration of each response time interval corresponding to each target position. Test results;
- each of the target positions includes a first measurement point and at least three second measurement points; the first measurement point is the location of the measurement point corresponding to the load center position in the target deflection basin, and the second measurement point is the position of the remaining measuring points in the target deflection basin except the load center position; the measurement time corresponding to each target position is determined by the load moving speed and the speedometer in the deflection basin detection system. The horizontal installation position is calculated.
- This application also provides a deflection basin detection system based on the deformation speed of the road surface under the action of rolling load, a continuous deflection speed measurement subsystem and any one of the above described deflection basin detection devices based on the deformation speed of the road surface under the action of rolling load;
- the continuous deflection velocity measurement subsystem includes: a traction device and a carrier;
- the carrier is used to move on the road surface under the traction of the traction device and apply a load to the road surface during the movement;
- a cross beam is provided on the carrier; a speed measurement device, an attitude measurement unit and an auxiliary measurement unit are provided on the cross beam;
- the speed measurement unit includes a second speed sensor and at least three first speed sensors; the first speed sensor is used to measure the vertical deformation speed of the road surface in the target deflection basin; the second speed sensor is installed on The outside of the deflection basin is used to eliminate the speed noise measured by the first speed sensor in the deflection basin;
- the attitude measurement unit is used to measure the attitude angular velocity of the beam
- the auxiliary measurement unit includes a positioning subunit; the positioning subunit is used to obtain the position of the load and the traveling speed of the carrier on the road surface.
- the deflection basin detection method and device based on the deformation speed under the action of rolling load provided by this application can realize the rapid detection of continuous deflection basin by detecting the deflection basin based on the vertical deformation speed of the road surface under the action of rolling load, and can solve the problem of traditional Deflection measurement has problems such as low efficiency, strong subjectivity, high risk and time-consuming and labor-intensive. It can improve the efficiency and safety of deflection basin detection, obtain the deflection value of the entire deflection basin, and solve the problem of laser dynamic bending.
- the sinking measurement system can only measure the maximum deflection value of the load center but cannot characterize the load-bearing performance of a certain structural layer. The test results are less affected by the environment and are not affected by the road surface texture. The deflection basin test results The accuracy is higher.
- Figure 1 is one of the flow diagrams of the deflection basin detection method based on deformation speed under rolling load provided by this application;
- Figure 2 is the second schematic flow chart of the deflection basin detection method based on deformation speed under rolling load provided by this application;
- Figure 3 is a schematic structural diagram of a deflection basin detection device based on deformation speed under rolling load provided by this application;
- Figure 4 is a schematic structural diagram of the deflection basin detection system based on deformation speed under rolling load provided by this application.
- Figure 1 is one of the flow diagrams of the deflection basin detection method provided by this application.
- the execution subject of the deflection basin detection method provided by the embodiment of the present application may be a deflection basin detection device.
- the method includes step 101 , step 102 , step 103 and step 104 .
- Step 101 Obtain the vertical deformation speed of the road surface at each measurement moment corresponding to each target position in the target deflection basin during the load movement process; wherein each target position includes a first measurement point and at least 3 second measurement points; The first measuring point is the position of the measuring point corresponding to the load center position in the target deflection basin, and the second measuring point is the position of the other measuring points except the load center position in the target deflection basin; each measurement time corresponding to each target position is , is obtained by calculating the load moving speed and the horizontal installation position of the speedometer in the deflection basin detection system.
- the vertical deformation velocity of the road surface at each measurement moment corresponding to each target position in the target deflection basin during the movement of the load can be obtained.
- the continuous deflection velocity measurement subsystem may include a traction device and a carrier.
- the traction device may be a machine with traction capability such as a tractor truck.
- the carrier is used to move on the road surface under the traction of the traction device and apply load to the road surface during the movement.
- the carrier may be a mobile unpowered machine such as a trailer.
- the trailer's rear axle can exert a load of at least 10 tons.
- the carrier Under the traction of the traction device, the carrier can move on the road surface and apply load to the road surface during the movement, forming a rolling load acting on the road surface.
- a crossbeam is provided on the carrier; a speed measurement device, an attitude measurement unit and an auxiliary measurement unit are provided on the crossbeam.
- a shelter can be provided on the carrier. Shelters can be set up in an integrated manner.
- the shelter is used to install all measurement equipment and the supporting environment required for measurement.
- All measurement equipment may include but are not limited to speed measurement devices, attitude measurement units, auxiliary measurement units, etc.
- the beams can be specially made rigid beams located inside the shelter.
- the speed measurement unit includes a second speed sensor and at least three first speed sensors; the first speed sensor is used to measure the vertical deformation speed of the road surface in the target deflection basin; the second speed sensor is installed outside the deflection basin. To eliminate the speed noise measured by the first speed sensor in the deflection basin.
- the speed measurement unit may include at least 3 first speed sensors and 1 second speed sensor. Both the first speed sensor and the second speed sensor can be any speed sensor used to measure the deformation speed of the road surface (i.e., "speed meter").
- Each first speed sensor and second speed sensor can be installed in line along the moving direction of the carrier.
- the first speed sensor is a speed sensor in the deflection basin, which is used to measure the vertical deformation speed of the road surface at different positions from the load center.
- the second speed sensor is a speed sensor outside the deflection basin. It serves as a reference speed sensor and is used to compensate for the speed noise measured by the speed sensor inside the deflection basin (ie, the first speed sensor). This velocity noise is the component velocity noise in the direction of load movement.
- the speed noise measured by the first speed sensor refers to the noise contained in the result of the speed measurement by the first speed sensor.
- Attitude measurement unit is used to measure the attitude angular velocity of the beam.
- the attitude measurement unit may include a plurality of gyroscopes.
- the gyroscope can be any type of gyroscope.
- Attitude angular velocity can include pitch angular velocity, roll angular velocity and heading angular velocity.
- the attitude measurement unit may include three fiber optic gyroscopes.
- the auxiliary measurement unit includes a positioning subunit; the positioning subunit is used to obtain the position of the load and the traveling speed of the carrier on the road surface.
- the positioning subunit can be used for positioning based on at least one global navigation satellite system (Global Navigation Satellite System, GNSS), or any type of distance measuring instrument (Distance Measuring Instrument, DMI), or a global satellite navigation system and measuring instrument.
- GNSS Global Navigation Satellite System
- DMI Distance Measuring Instrument
- the distance meter is combined to position the load, and the traveling speed of the carrier on the road can be obtained by measuring the change in distance between the carrier and a fixed target within a preset time period.
- the global satellite navigation system may be Beidou, Galileo, GLONASS or Global Positioning System (GPS).
- GPS Global Positioning System
- Positioning subunits can also be used for timing.
- the second speed sensor installed outside the deflection basin, the installation angle of the second speed sensor, the rotation speed of the carrier, the movement speed of the carrier along the driving direction, and the measurement of the first speed sensor. value and the installation angle of the first speed sensor to obtain the vertical deformation speed of the road surface at corresponding measuring points (i.e., target positions) of multiple first speed sensors in the deflection basin.
- the measured value of the first speed sensor can be regarded as the total speed (that is, the total speed of the road surface deformation speed, rotation speed, vibration speed, etc.). Therefore, the measured value of the first speed sensor and the second speed sensor can be combined. On the basis of the measured values, based on the installation angle of the second speed sensor, the installation angle of the first speed sensor, the rotation speed of the carrier and the movement speed of the carrier along the driving direction, etc., the non-vertical component speed of the road deformation speed is removed. Noise, thereby obtaining the vertical deformation speed of the road surface.
- the rotation speed of the carrier can be obtained through the attitude measurement unit.
- the moving speed of the carrier along the driving direction that is, the traveling speed of the carrier on the road surface, can be obtained through the positioning subunit.
- the carrier can move on the road surface under the traction of the traction device and apply load to the road surface during the movement. Therefore, the vertical deformation speed of the road surface at each target position can be obtained at different times based on the continuous deflection velocity measurement subsystem. .
- At least 4 target positions can be preset in the target deflection basin.
- the position corresponding to the measuring point corresponding to the load center position in the target deflection basin is the first measuring point
- the position of other measuring points except the load center position is the second measuring point.
- Measuring point refers to the point that needs to be measured.
- the position of the load center (i.e. the first measurement point) is x m
- the vertical deformation velocity of the road surface at multiple locations in the target deflection basin at that time is obtained through the continuous deflection velocity measurement subsystem, recorded for in
- n is the target The number of second measurement points in the deflection basin
- Li represents the horizontal distance between the i-th second measurement point in the target deflection basin and the load center measurement point. Normally, the number of second measurement points in the deflection basin is equal to the number of first speed sensors.
- the vertical deformation speed of the road surface obtained by different first speed sensors at the same first measurement point (x m ) at different times is matched, recorded for Among them, ti is the time when the i -th speed sensor in the deflection basin measures the current measurement point (x m ).
- the position information of the second measurement point can be determined based on the installation position and installation angle of the first speed measurement sensor in the continuous deflection speed measurement subsystem.
- the moving position information of the load may include the position information of the load at each measurement time corresponding to each target position during the movement of the load.
- the moment when each corresponding first speed sensor passes the target position can be calculated as the target position based on the load movement speed and the horizontal installation position of the speedometer in the deflection basin detection system. Corresponding measurement time.
- Step 102 Obtain the duration of each response time interval corresponding to each target position based on each measurement time corresponding to each target position, the road vertical deformation speed at each measurement time corresponding to each target position, and the road surface vertical deformation speed knowledge base model.
- the pavement vertical deformation speed knowledge base model can be used to characterize the relationship between the pavement vertical deformation speed, the moving speed of the load, the weight of the load, etc.
- step 102 it may also include: obtaining the pavement vertical deformation speed knowledge base model.
- the pavement vertical deformation velocity knowledge base model can be obtained in any of the following ways, but is not limited to the following ways:
- Method 1 Select a variety of typical road sections, collect the vertical deformation speed of the road at different driving speeds through embedded accelerometers and continuous deflection speed measurement subsystems, and then use statistical analysis methods or artificial intelligence methods to establish the acceleration system to obtain The relationship model between the vertical deformation speed of the road surface and the vertical deformation speed of the road surface obtained by the continuous deflection velocity measurement subsystem is used to obtain the knowledge base model of the vertical deformation speed of the road surface;
- Method 3 For various typical road sections, through comparative analysis of the relationship between the deflection basin measured by FWD and the deflection basin measured by the continuous deflection speed measurement subsystem, establish and improve the vertical deformation velocity model of the road surface, and obtain the vertical deformation of the road surface Velocity knowledge base model.
- the response time period of the current first measurement point under the action of rolling load can be estimated.
- the response time period of the current first measurement point under the action of rolling load can be divided into multiple response time intervals, thereby obtaining the duration of each response time interval corresponding to each target position.
- the set of response time intervals corresponding to each target position can be recorded as ET i (ET i ⁇ VT j
- ET 0 is the load center (first measurement point ) response time interval set.
- i 1,2,L,n-1 ⁇ .
- Step 103 Obtain each response time interval corresponding to each target position based on the vertical deformation speed of the road surface at each measurement time corresponding to each target position, the length of each response time interval corresponding to each target position, and the road vertical deformation speed knowledge base model. represents the vertical deformation speed of the road surface.
- the representative road vertical deformation speed of the response time interval corresponding to the target position can be regarded as the average road vertical deformation speed within the response time interval corresponding to the target position. Deformation speed.
- the road surface vertical deformation speed corresponding to the target position can be obtained based on the vertical deformation speed of the road surface at each measurement moment, the length of each response time interval corresponding to the target position, and the vertical deformation speed knowledge base model of the road surface.
- Each response time interval represents the vertical deformation speed of the road surface.
- Step 104 Obtain the detection result of the target deflection basin based on the representative road vertical deformation speed of each response time interval corresponding to each target position and the duration of each response time interval corresponding to each target position.
- the deflection basin means that the load center is at the first measurement point, and different second measurement points have different amounts of deformation, forming a shape similar to a basin.
- the deflection value of each target position in the target deflection basin can be obtained, thereby obtaining the target deflection The shape of the basin.
- the embodiment of the present application detects the deflection basin based on the vertical deformation speed of the road surface under the action of rolling load, which can realize the rapid detection of continuous deflection basin and solve the problems of low efficiency, strong subjectivity and high risk of traditional deflection measurement. It can improve the efficiency and safety of deflection basin detection, obtain the deflection value of the entire deflection basin, and solve the problem that the laser dynamic deflection measurement system can only measure the maximum deflection value of the load center but cannot measure a certain deflection value. To characterize the load-bearing performance of each structural layer, the detection results are less affected by the environment, the detection results are not affected by the road surface texture, and the deflection basin detection results are more accurate.
- the detection method is suitable for detection of deflection basins on highway pavements or airport pavements.
- each response time interval corresponding to each target position Based on the representative road vertical deformation speed of each response time interval corresponding to each target position and the length of each response time interval corresponding to each target position, after obtaining the detection results of the target deflection basin, it also includes: measurement based on the target deflection basin Environmental information and deflection basin correction knowledge base model are used to correct the detection results of the target deflection basin.
- the measured environmental information may include road surface temperature, load moving speed, load weight, etc.
- the deflection basin correction knowledge base model can be used to characterize the relationship between road surface temperature, load movement speed and load weight, etc., and the detection results of the deflection basin.
- the detection results of the target deflection basin can be corrected based on the measurement environment information of the target deflection basin and the deflection basin correction knowledge base model to obtain more accurate deflection basin detection results. .
- the method further includes: obtaining the measurement environment information of the target deflection basin.
- the road surface temperature can be obtained through a thermometer included in the auxiliary measurement unit.
- the thermometer can be any kind of thermometer, such as an infrared thermometer.
- the target deflection basin correction knowledge base model before correcting the detection results of the target deflection basin, it also includes: establishing a deflection basin correction knowledge base model.
- the deflection basin correction knowledge base model can be obtained in the following ways, but is not limited to:
- the embodiment of the present application can further improve the accuracy of the detection results of the deflection basin by correcting the detection results of the target deflection basin based on the measurement environment information of the target deflection basin and the deflection basin correction knowledge base model.
- each target position corresponding to each target position is obtained.
- the duration of the response time interval includes: obtaining each first duration based on each measurement moment corresponding to any target position; the first duration is the time difference between two adjacent measurement moments corresponding to any target position.
- the first duration is the time difference between two adjacent measurement moments corresponding to any target position, that is, the time difference between two adjacent first speed sensors passing the same target position.
- i 1,2,L,n-1 ⁇ .
- the response start time and response end time of the first measurement point under load are obtained.
- the vertical deformation of the road surface is obtained.
- the first change rate of the deformation speed based on the first change rate and the road surface vertical deformation speed knowledge base model, obtain the response start time of the first measurement point under the action of the load.
- the vertical deformation of the road surface is obtained.
- the first change rate of the deformation speed based on the first change rate and the road surface vertical deformation speed knowledge base model, obtain the response end time of the first measurement point under the action of the load.
- the duration of each response time interval corresponding to the first measurement point is obtained.
- the response start time and response end time of the first measurement point under the action of rolling load can define the response time period of the first measurement point under the action of rolling load. According to each measurement moment corresponding to the first measurement point, the response time period of the first measurement point under the action of rolling load can be divided into multiple response time intervals, thereby obtaining the duration of each response time interval corresponding to the first measurement point.
- the response start time of the second measurement point under load is obtained.
- one or more corresponding start times of the first time duration and the second measurement point are close to the response start time of the second measurement point under the action of the load.
- the duration of each response time interval of the second measurement point is obtained.
- the response start time and response end time of the second measurement point under the action of rolling load can define the response time period of the second measurement point under the action of rolling load.
- the response time period of the second measurement point under the action of rolling load can be divided into multiple response time intervals, thereby obtaining the duration of each response time interval corresponding to the second measurement point.
- the embodiment of the present application obtains the corresponding target position by using the measurement time corresponding to each target position, the vertical deformation speed of the road surface at each measurement time corresponding to each target position, the moving position information of the load, and the vertical deformation speed knowledge base model of the road surface.
- the length of each response time interval can be used to obtain more accurate deflection basin detection results based on the length of each response time interval corresponding to each target position.
- the detection results of the target deflection basin are obtained, including: For each target position, the accumulated vertical deformation amount of the target position is obtained based on the representative road vertical deformation speed of each response time interval corresponding to the target position and the duration of the response time interval.
- the accumulated vertical deformation of the target position can reflect the shape of the target position in the target deflection basin.
- DEF 0 represents the accumulated vertical deformation of the first measurement point.
- the cumulative vertical deformation at each target position is determined as the detection result of the target deflection basin.
- the detection results of the target deflection basin may include the cumulative vertical deformation of each target position.
- the embodiment of the present application obtains the accumulated vertical deformation amount of the target position based on the representative road vertical deformation speed of each response time interval corresponding to the target position and the duration of the response time interval, and can obtain more accurate deflection basin detection results.
- obtaining the cumulative vertical deformation amount of the target position includes: obtaining each response time interval corresponding to the target position.
- a response time interval represents the product of the vertical deformation speed of the road surface and the duration of each response time interval; the sum of each product is obtained as the cumulative vertical deformation amount at the target position.
- the position of the first measurement point is x m
- the vertical direction of each target position in the target deflection basin is calculated.
- the embodiment of the present application obtains the sum of the products of the representative road vertical deformation speed of each response time interval corresponding to the target position and the duration of each response time interval, as the cumulative vertical deformation amount of the target position, to obtain a more accurate Deflection basin test results.
- each target position is obtained based on the vertical deformation speed of the road surface at each measurement time corresponding to each target position, the length of each response time interval corresponding to each target position, and the vertical deformation speed knowledge base model of the road surface.
- the representative road vertical deformation speed of each corresponding response time interval includes: for any one of the target positions, the vertical deformation speed of the road surface at different measurement times corresponding to the target position, and each response time corresponding to each target position.
- the duration of the interval and the road surface vertical deformation speed knowledge base model are used to obtain the representative road surface vertical deformation speed of each response time interval corresponding to each target position.
- the vertical deformation speed of the road surface at each measurement moment corresponding to the target position can be fitted to obtain the rolling load.
- the curve or equation showing the change of the vertical deformation speed of the road surface at the target position with time during the response time period of the current first measurement point under the action; based on the curve or equation obtained by fitting, the response time intervals corresponding to the target position can be obtained. Represents the vertical deformation speed of the road surface.
- each value corresponding to the target position can be obtained based on the vertical deformation speed of the road surface at each measurement moment corresponding to the target position, the duration of each response time interval corresponding to the target position, and the vertical deformation speed knowledge base model of the road surface.
- the vertical deformation speed of the road surface at the target position changes with time; based on this rule, the representative vertical deformation speed of the road surface in each response time interval corresponding to the target position can be obtained.
- the embodiment of the present application can realize faster deflection basin detection based on the representative road surface vertical deformation speed.
- the detection results of the target deflection basin include the cumulative vertical deformation of each target position.
- the detection results of the target deflection basin are corrected, including: based on the measurement environment information of the target deflection basin and the deflection basin correction knowledge base model, obtain Correction coefficient for each target position.
- This correction coefficient is used to correct the error caused by the cumulative vertical deformation of the target position caused by the measurement environment information.
- the accumulated vertical deformation of the target position is corrected based on the correction coefficient of the target position.
- the detection results of the deflection basin at each measuring point can be corrected based on the correction coefficient ⁇ F i
- i 0,1,2,...,n ⁇ of each target position in the deflection basin.
- the formula for correction is
- DEF i ′ represents the corrected cumulative vertical deformation of the second measurement point corresponding to the i-th first speed sensor in the target deflection basin.
- the embodiment of the present application obtains the correction coefficient of each target position based on the measurement environment information of the target deflection basin and the deflection basin correction knowledge base model. For each target position, the cumulative vertical position of the target position is calculated based on the correction coefficient of the target position. Correcting the deflection amount can further improve the accuracy of the deflection basin detection results.
- the data under the action of the load is obtained.
- the response start time and response end time of the first measurement point include: the vertical deformation of the road surface based on multiple measurement moments corresponding to the first duration and the first measurement point that are close to the response start time of the first measurement point under load.
- Speed and pavement vertical deformation speed knowledge base model obtains the response start time of the first measurement point under load; based on each first duration and first measurement point, the response end time of the first measurement point under load is close to
- u can is an integer greater than or equal to 2) the vertical deformation speed of the road surface at the measurement time, and the response start time of the first measurement point under the load is estimated.
- the response end time of the first measuring point under the action of load can be the time corresponding to the load moving to the first measuring point, or the time corresponding to a certain moment after the load leaves the first measuring point (there is a lag in the response of the measuring point at this time Phenomenon).
- the first change rate of speed based on the first change rate and the road surface vertical deformation speed knowledge base model, obtain the response end time of the first measurement point under the action of the load, recorded as t 0 .
- the embodiment of the present application uses the road surface vertical deformation speed and road surface vertical deformation speed knowledge base model based on multiple measurement moments corresponding to each first duration and first measurement point that are close to the response start time of the first measurement point under load. , obtain the response start time of the first measurement point under the action of the load, and obtain the response end time of the first measurement point under the action of the load based on the moving position information of the load and the moving speed information of the load, and obtain a more accurate corresponding position of each target
- the length of each response time interval of each target position can be used to obtain more accurate deflection basin detection results based on the length of each response time interval corresponding to each target position.
- obtaining the response start time of the first measurement point under load includes: based on each first duration and the first measurement point corresponding to the response start time of the first measurement point under load.
- the vertical deformation speed of the road surface at multiple measurement moments is used to obtain the first change rate of the vertical deformation speed of the road surface.
- the vertical deformation of the road surface close to the response start time can be calculated The first rate of change of speed.
- the response start time of the first measurement point under load is obtained.
- the response start time of the first measurement point under load can be estimated, recorded as t n+ 1 .
- Obtaining the response start time of the second measurement point under load including: based on one or more measurement moments of the road surface corresponding to each first duration and the second measurement point that are close to the response start time of the second measurement point under load Vertical deformation speed, obtains the second change rate of the vertical deformation speed of the road surface.
- the response start time of each first time period and the second measurement point corresponding to the second measurement point under the action of load can be close to One or more (for example, v, v may be an integer greater than or equal to 2) measures the second change rate of the vertical deformation speed of the road surface at the moment.
- the response start time of the second measurement point under load is obtained.
- the second measurement point under load can be estimated response start time.
- Obtaining the response end time of the first measurement point under load includes: vertical deformation of the road surface based on multiple measurement moments corresponding to each first duration and the first measurement point that are close to the response end time of the first measurement point under load.
- Speed obtains the first rate of change of the vertical deformation speed of the road surface.
- the response end time of the first measurement point under load is obtained.
- the response end time of the first measurement point under load can be estimated according to each first change rate of the response start time adjacent to the first measurement point.
- the embodiment of the present application obtains the change in the vertical deformation speed of the road surface based on the vertical deformation speed of the road surface at multiple measurement moments corresponding to each first time period and the first measurement point that are close to the response start time of the first measurement point under load.
- Rate based on the change rate and pavement vertical deformation speed knowledge base model, obtain the response start time and response end time of the first measurement point under load, and can obtain a more accurate length of each response time interval corresponding to each target position, thus More accurate deflection basin detection results can be obtained based on the length of each response time interval corresponding to each target position.
- Figure 2 is the second schematic flow chart of the deflection basin detection method provided by this application.
- the rapid detection method of the deflection basin based on the vertical deformation speed of the road surface under the action of rolling load can include the following steps.
- Step 201 Obtain the vertical deformation speed of the road surface at corresponding positions of multiple first speed sensors in the deflection basin at the same time.
- Step 202 Obtain the vertical deformation speed of the road surface at different measurement moments at the same target position.
- Step 203 Obtain the time difference in the vertical deformation speed of the road surface between adjacent measurement times.
- Step 204 Estimate the response start time and response end time of the first measurement point under the action of rolling load, and the response start time of each second measurement point.
- Step 205 Obtain the representative road vertical deformation speed between adjacent moments.
- Step 206 Calculate the road deflection basin.
- Step 207 Perform road surface deflection basin correction based on the measurement environment information and the deflection basin correction knowledge base model.
- the deflection basin detection device provided by the present application is described below.
- the deflection basin detection device described below and the deflection basin detection method described above can be mutually referenced.
- Figure 3 is a schematic structural diagram of a deflection basin detection device based on road surface deformation speed under rolling load provided by this application. Based on the content of any of the above embodiments, as shown in Figure 3, the device includes an original speed acquisition module 301, a duration acquisition module 302, a representative speed acquisition module 303 and a deflection basin detection module 304, where:
- the original speed acquisition module 301 is used to obtain the vertical deformation speed of the road surface at each measurement moment corresponding to each target position in the target deflection basin during the load movement;
- the duration acquisition module 302 is used to obtain each response time corresponding to each target position based on each measurement time corresponding to each target position, the road vertical deformation speed at each measurement time corresponding to each target position, and the road surface vertical deformation speed knowledge base model. The duration of the interval;
- the representative speed acquisition module 303 is used to obtain the corresponding target position based on the vertical deformation speed of the road surface at each measurement time corresponding to each target position, the duration of each response time interval corresponding to each target position, and the vertical deformation speed knowledge base model of the road surface.
- Each response time interval represents the vertical deformation speed of the road surface;
- the deflection basin detection module 304 is configured to obtain the detection result of the target deflection basin based on the representative road vertical deformation speed of each response time interval corresponding to each target position and the duration of each response time interval corresponding to each target position;
- each target position includes a first measurement point and at least three second measurement points; the first measurement point is the position corresponding to the load center position in the target deflection basin, and the second measurement point is within the target deflection basin.
- the locations of the remaining measuring points except the load center position; the measurement moments corresponding to each target position are calculated through the load moving speed and the horizontal installation position of the speedometer in the deflection basin detection system.
- the original speed acquisition module 301, the duration acquisition module 302, the representative speed acquisition module 303 and the deflection basin detection module 304 can be electrically connected in sequence.
- the original speed acquisition module 301 can be based on the continuous deflection speed measurement subsystem to acquire the vertical deformation speed of the road surface at each measurement moment corresponding to each target position in the target deflection basin during the movement of the load.
- the duration acquisition module 302 can estimate the current first measurement under the action of rolling load based on the vertical deformation speed of the road surface at each measurement moment corresponding to each first duration and each target position, the moving position information of the load, and the knowledge base model of vertical deformation speed of the road surface.
- the response time period of the point; according to each measurement moment corresponding to each target position, the response time period of the current first measurement point under the action of rolling load can be divided into multiple response time intervals, thereby obtaining each response time interval corresponding to each target position. of duration.
- the representative speed acquisition module 303 can obtain the road surface vertical deformation speed at each measurement moment corresponding to the target position, the length of each response time interval corresponding to the target position, and the road surface vertical deformation speed knowledge base model. The representative road surface vertical deformation speed in each response time interval corresponding to the target position.
- the deflection basin detection module 304 can obtain the deflection value of each target position in the target deflection basin based on the representative road vertical deformation speed of each response time interval corresponding to each target position and the length of each response time interval corresponding to each target position. , thereby obtaining the shape of the target deflection basin.
- the deflection basin detection device may also include:
- the correction module is used to correct the detection results of the target deflection basin based on the measurement environment information of the target deflection basin and the deflection basin correction knowledge base model.
- the duration acquisition module 302 may include:
- the first duration acquisition unit is used to acquire each first duration based on each measurement moment corresponding to any target position
- the response time acquisition unit is used to obtain the first response time under the action of the load based on the vertical deformation speed of the road surface at each measurement moment corresponding to the first duration and the first measurement point, the moving position information of the load, and the vertical deformation speed knowledge base model of the road surface. Response start time and response end time of the measurement point;
- the second duration acquisition unit is configured to acquire the duration of each response time interval corresponding to the first measurement point based on each measurement moment corresponding to the first measurement point and the response start time and response end time of the first measurement point under load;
- the response time acquisition unit is also configured to obtain the load effect based on the road surface vertical deformation speed at each measurement moment corresponding to the first duration and the second measurement point and the road surface vertical deformation speed knowledge base model.
- the response start time of the second measurement point as described below;
- a third duration acquisition unit configured to acquire each response time interval of the second measurement point based on each measurement moment corresponding to the second measurement point and the response start time of the second measurement point under the load. of duration.
- the deflection basin detection module 304 may include:
- the cumulative deformation acquisition unit is used for, for each target position, obtaining the cumulative vertical deformation amount of the target position based on the representative road vertical deformation speed of each response time interval corresponding to the target position and the duration of the response time interval;
- the detection result acquisition unit is used to determine the cumulative vertical deformation of each target position as the detection result of the target deflection basin.
- the cumulative deformation acquisition unit can be specifically used to obtain the product of the representative road vertical deformation speed of each response time interval corresponding to the target position and the duration of each response time interval; obtain the sum of each product as the target position The accumulated vertical deformation.
- the detection results of the target deflection basin include the cumulative vertical deformation of each target position
- the correction module can be specifically used to obtain the correction coefficient of each target position based on the measurement environment information of the target deflection basin and the deflection basin correction knowledge base model; for each target position, the correction coefficient of the target position based on the target position The accumulated vertical deformation is corrected.
- the response time acquisition unit may include:
- the response start time acquisition subunit is used for pavement vertical deformation speed and road surface vertical deformation based on multiple measurement moments corresponding to each first duration and first measurement point that are close to the response start time of the first measurement point under load.
- Speed knowledge base model to obtain the response start time of the first measurement point under load;
- the response end time acquisition subunit is used to obtain the road surface vertical deformation speed and the road surface vertical deformation speed at multiple measurement moments corresponding to each first time length and first measurement point that are close to the response end time of the first measurement point under load.
- the response end time of the first measurement point under the action of the load is obtained.
- the response time acquisition unit may be specifically configured to determine the vertical deformation speed of the road surface based on multiple measurement moments corresponding to each first duration and first measurement point that are close to the response start time of the first measurement point under load, Obtain the first change rate of the vertical deformation speed of the road surface; based on the first change rate and the knowledge base model of the vertical deformation speed of the road surface, obtain the response start time of the first measurement point under the action of load.
- the response time acquisition unit may also be specifically used to obtain road surface vertical data based on one or more measurement moments corresponding to each first duration and second measurement point that are close to the response start time of the second measurement point under load.
- the vertical deformation speed the second change rate of the road vertical deformation speed is obtained; based on the second change rate and the road surface vertical deformation speed knowledge base model, the response start time of the second measurement point under the load is obtained.
- the response time acquisition unit can also be specifically used to obtain the response end time of the first measurement point under load, including:
- the response end time of the first measurement point under load is obtained.
- the deflection basin detection device provided by the embodiment of the present application is used to perform the above-mentioned deflection basin detection method of the present application. Its implementation is consistent with the implementation of the deflection basin detection method provided by the present application, and can achieve the same beneficial effects. No further details will be given here.
- the embodiment of the present application detects the deflection basin based on the vertical deformation speed of the road surface under the action of rolling load, which can realize the rapid detection of continuous deflection basin and solve the problems of low efficiency, strong subjectivity and high risk of traditional deflection measurement. It can improve the efficiency and safety of deflection basin detection, obtain the deflection value of the entire deflection basin, and solve the problem that the laser dynamic deflection measurement system can only measure the maximum deflection value of the load center but cannot measure a certain deflection value. To characterize the load-bearing performance of each structural layer, the detection results are less affected by the environment, the detection results are not affected by the road surface texture, and the deflection basin detection results are more accurate.
- FIG 4 is a schematic structural diagram of a deflection basin detection system based on road surface deformation speed under rolling load provided by this application.
- the deflection basin detection system includes: a continuous deflection velocity measurement subsystem 401 and a deflection basin detection device 402;
- Continuous deflection velocity measurement subsystem 401 includes: traction device 4011 and carrier 4012;
- the carrier 4012 is used to move on the road surface under the traction of the traction device 4011 and apply a load to the road surface 5 during the movement;
- the carrier 4012 is provided with a cross beam 3; the cross beam 3 is provided with a speed measurement device, an attitude measurement unit 4 and an auxiliary measurement unit;
- the speed measurement unit includes a second speed sensor 2 and at least three first speed sensors 1; the first speed sensor 1 is used to measure the vertical deformation speed of the road surface in the target deflection basin; the second speed sensor 2 is installed in the deflection basin. The outside of the basin is used to eliminate the speed noise measured by the first speed sensor in the deflection basin;
- Attitude measurement unit 4 used to measure the attitude angular velocity of the beam
- the auxiliary measurement unit includes a positioning subunit; a positioning subunit is used to obtain the position of the load and the traveling speed of the carrier on the road.
- point O is the first measurement point, which is the position where the dynamic load F is applied; P1, P2,..., Pn are n second measurement points; ⁇ represents the installation angle of the first speed sensor 1; ⁇ represents the second speed measurement The installation angle of sensor 2; R represents the corresponding measurement position of second speed sensor 2.
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Abstract
Description
Claims (10)
- 一种基于滚动载荷作用下变形速度的弯沉盆检测方法,包括:获取载荷移动过程中,目标弯沉盆内各目标位置对应的各测量时刻的路面垂向变形速度;基于所述各目标位置对应的各测量时刻、所述各目标位置对应的各测量时刻的路面垂向变形速度和路面垂向变形速度知识库模型,获取所述各目标位置对应的各响应时间区间的时长;基于所述各目标位置对应的各测量时刻的路面垂向变形速度、所述各目标位置对应的各响应时间区间的时长和所述路面垂向变形速度知识库模型,获取所述各目标位置对应的各响应时间区间的代表路面垂向变形速度;基于所述各目标位置对应的各响应时间区间的代表路面垂向变形速度和所述各目标位置对应的各响应时间区间的时长,获取所述目标弯沉盆的检测结果;其中,所述各目标位置,包括第一测量点和至少3个第二测量点;所述第一测量点为目标弯沉盆内载荷中心位置对应测点所在的位置,所述第二测量点为所述目标弯沉盆内除所述载荷中心位置外的其余测点所在的位置;各所述目标位置对应的各所述测量时刻,是通过载荷移动速度和弯沉盆检测系统中测速仪的水平安装位置计算获得的。
- 根据权利要求1所述的基于滚动载荷作用下变形速度的弯沉盆检测方法,其中,所述检测方法适用于公路路面或机场道面弯沉盆检测;所述基于所述各目标位置对应的各响应时间区间的代表路面垂向变形速度和所述各目标位置对应的各响应时间区间的时长,获取所述目标弯沉盆的检测结果之后,还包括:基于所述目标弯沉盆的测量环境信息和弯沉盆修正知识库模型,对所述目标弯沉盆的检测结果进行修正。
- 根据权利要求1所述的基于滚动载荷作用下变形速度的弯沉盆检测方法,其中,所述基于所述各目标位置对应的各测量时刻、所述各目标位置对应的各测量时刻的路面垂向变形速度和路面垂向变形速度知识库模型,获取所述各目标位置对应的各响应时间区间的时长,包括:基于任一所述目标位置对应的各测量时刻,获取各第一时长;所述第一时长,为任一所述目标位置对应的两个相邻测量时刻之间的时间差;基于所述各第一时长、所述第一测量点对应的各测量时刻的路面垂向变形速度和所述路面垂向变形速度知识库模型,获取所述载荷作用下所述第一测量点的响应开始时间和响应结束时间;基于所述第一测量点对应的各测量时刻,以及所述载荷作用下所述第一测量点的响应开始时间和响应结束时间,获取所述第一测量点对应的各响应时间区间的时长;基于所述各第一时长、所述第二测量点对应的各测量时刻的路面垂向变形速度和所述路面垂向变形速度知识库模型,获取所述载荷作用下所述第二测量点的响应开始时间;基于所述第二测量点对应的各测量时刻,以及所述载荷作用下所述第二测量点的响应开始时间,获取所述第二测量点的各响应时间区间的时长。
- 根据权利要求1所述的基于滚动载荷作用下变形速度的弯沉盆检测方法,其中,所述基于所述各目标位置对应的各响应时间区间的代表路面垂向变形速度和所述各目标位置对应的各响应时间区间的时长,获取所述目标弯沉盆的检测结果,包括:对于每一所述目标位置,基于所述目标位置对应的各响应时间区间的代表路面垂向变形速度和所述响应时间区间的时长,获取所述目标位置的累积竖向变形量;将各所述目标位置的累积竖向变形量,确定为所述目标弯沉盆的检测结果;所述基于所述目标位置对应的各响应时间区间的代表路面垂向变形速度和所述响应时间区间的时长,获取所述目标位置的累积竖向变形量,包括:获取所述目标位置对应的每一响应时间区间的代表路面垂向变形速度与所述每一响应时间区间的时长的乘积;获取各乘积之和,作为所述目标位置的累积竖向变形量。
- 根据权利要求1所述的基于滚动载荷作用下变形速度的弯沉盆检测方法,其中,所述基于所述各目标位置对应的各测量时刻的路面垂向变形速度、所述各目标位置对应的各响应时间区间的时长和所述路面垂向变形速度知识库模型,获取所述各目标位置对应的各响应时间区间的代表路面垂向变形速度,包括:对所述各目标位置中的任一目标位置,利用所述目标位置对应的不同测量时刻的路面垂向变形速度、所述各目标位置对应的各响应时间区间的时长和所述路面垂向变形速度知识库模型,获取所述各目标位置对应的各响应时间区间的代表路面垂向变形速度。
- 根据权利要求2所述的基于滚动载荷作用下变形速度的弯沉盆检测方法,其中,所述目标弯沉盆的检测结果,包括各所述目标位置的累积竖向变形量;所述基于所述目标弯沉盆的测量环境信息和弯沉盆修正知识库模型,对所述目标弯沉盆的检测结果进行修正,包括:基于所述目标弯沉盆的测量环境信息和所述弯沉盆修正知识库模型,获取每一所述目标位置的修正系数;对于每一所述目标位置,基于所述目标位置的修正系数对所述目标位置的累积竖向变形量进行修正。
- 根据权利要求3所述的基于滚动载荷作用下变形速度的弯沉盆检测方法,其中,所述基于所述各第一时长、所述第一测量点对应的各测量时刻的路面垂向变形速度和所述路面垂向变形速度知识库模型,获取所述载荷作用下所述第一测量点的响应开始时间和响应结束时间,包括:基于所述各第一时长、所述第一测量点对应的与所述载荷作用下所述第一测量点的响应开始时间接近的多个测量时刻的路面垂向变形速度和所述路面垂向变形速度知识库模型,获取所述载荷作用下所述第一测量点的响应开始时间;基于所述各第一时长、所述第一测量点对应的与所述载荷作用下所述第一测量点的响应结束时间接近的多个测量时刻的路面垂向变形速度和所述路面垂向变形速度知识库模型,以及所述载荷的移动位置信息和 所述载荷的移动速度信息,获取所述载荷作用下所述第一测量点的响应结束时间。
- 根据权利要求7所述的基于滚动载荷作用下变形速度的弯沉盆检测方法,其中,所述获取所述载荷作用下所述第一测量点的响应开始时间,包括:基于所述各第一时长和所述第一测量点对应的与所述载荷作用下所述第一测量点的响应开始时间接近的多个测量时刻的路面垂向变形速度,获取路面垂向变形速度的第一变化速率;基于所述第一变化速率和所述路面垂向变形速度知识库模型,获取所述载荷作用下所述第一测量点的响应开始时间;所述获取所述载荷作用下所述第二测量点的响应开始时间,包括:基于所述各第一时长和所述第二测量点对应的与所述载荷作用下所述第二测量点的响应开始时间接近的1个或多个测量时刻的路面垂向变形速度,获取路面垂向变形速度的第二变化速率;基于所述第二变化速率和所述路面垂向变形速度知识库模型,获取所述载荷作用下所述第二测量点的响应开始时间;获取所述载荷作用下所述第一测量点的响应结束时间,包括:基于所述各第一时长和所述第一测量点对应的与所述载荷作用下所述第一测量点的响应结束时间接近的多个测量时刻的路面垂向变形速度,获取路面垂向变形速度的第一变化速率;基于所述第一变化速率和所述路面垂向变形速度知识库模型,获取所述载荷作用下所述第一测量点的响应结束时间。
- 一种基于滚动载荷作用下路面变形速度的弯沉盆检测装置,包括:原始速度获取模块,用于获取载荷移动过程中,目标弯沉盆内各目标位置对应的各测量时刻的路面垂向变形速度;时长获取模块,用于基于所述各目标位置对应的各测量时刻、所述各目标位置对应的各测量时刻的路面垂向变形速度和路面垂向变形速度知识库模型,获取所述各目标位置对应的各响应时间区间的时长;代表速度获取模块,用于基于所述各目标位置对应的各测量时刻的 路面垂向变形速度、所述各目标位置对应的各响应时间区间的时长和所述路面垂向变形速度知识库模型,获取所述各目标位置对应的各响应时间区间的代表路面垂向变形速度;弯沉盆检测模块,用于基于所述各目标位置对应的各响应时间区间的代表路面垂向变形速度和所述各目标位置对应的各响应时间区间的时长,获取所述目标弯沉盆的检测结果;其中,所述各目标位置,包括第一测量点和至少3个第二测量点;所述第一测量点为目标弯沉盆内载荷中心位置对应测点所在的位置,所述第二测量点为所述目标弯沉盆内除所述载荷中心位置外的其余测点所在的位置;各所述目标位置对应的各所述测量时刻,是通过载荷移动速度和弯沉盆检测系统中测速仪的水平安装位置计算获得的。
- 一种基于滚动载荷作用下路面变形速度的弯沉盆检测系统,包括:连续弯沉测速子系统和如权利要求9所述的基于滚动载荷作用下路面变形速度的弯沉盆检测装置;所述连续弯沉测速子系统,包括:牵引装置和载体;所述载体,用于在所述牵引装置的牵引下,在路面上移动并在移动过程中向所述路面施加载荷;所述载体上设置有横梁;所述横梁上设置有速度测量装置、姿态测量单元和辅助测量单元;所述速度测量单元包括第二测速传感器和至少3个第一测速传感器;所述第一测速传感器,用于测量目标弯沉盆内的路面垂向变形速度;所述第二测速传感器,安装在弯沉盆外部,用于消除弯沉盆内第一测速传感器测量的速度噪声;所述姿态测量单元,用于测量所述横梁的姿态角速度;所述辅助测量单元包括定位子单元;所述定位子单元,用于获取所述载荷的位置和所述载体在所述路面上的行进速度。
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WO2013163618A1 (en) * | 2012-04-26 | 2013-10-31 | Quest Integrated, Inc. | Rolling weight deflectometer |
CN103452032A (zh) * | 2013-09-26 | 2013-12-18 | 武汉武大卓越科技有限责任公司 | 基于角度的动态弯沉获取方法 |
CN107012772A (zh) * | 2017-03-13 | 2017-08-04 | 长安大学 | 一种非接触式快速道路弯沉检测方法 |
CN111444463A (zh) * | 2020-04-09 | 2020-07-24 | 武汉武大卓越科技有限责任公司 | 基于路面变形速度的弯沉计算方法 |
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WO2013163618A1 (en) * | 2012-04-26 | 2013-10-31 | Quest Integrated, Inc. | Rolling weight deflectometer |
CN103452032A (zh) * | 2013-09-26 | 2013-12-18 | 武汉武大卓越科技有限责任公司 | 基于角度的动态弯沉获取方法 |
CN107012772A (zh) * | 2017-03-13 | 2017-08-04 | 长安大学 | 一种非接触式快速道路弯沉检测方法 |
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