Nondestructive testing method for outer cable tensioning quality of corrugated steel web continuous rigid frame girder bridge body
Technical Field
The invention belongs to the technical field of nondestructive testing of external cable tensioning quality, and particularly relates to a nondestructive testing method of external cable tensioning quality of a corrugated steel web continuous rigid frame girder bridge.
Background
After the first corrugated steel web bridge in the world of the 80 th century of the 20 th century is built in France, the bridge has excellent characteristics: the bridge has definite stress, high section efficiency, full utilization of material strength, no cracking of the web plate and the like, and the corrugated steel web plate bridge is developed faster in the world.
The traditional concrete continuous rigid frame girder bridge box girder generally needs to arrange prestressed reinforcement on the top plate, the bottom plate and the web plate to improve the bending resistance and the shearing resistance bearing capacity, so that the section of the box girder is relatively thick and heavy. Along with the increase of the span, the dead weight of the vehicle body is rapidly increased, the span capability and economy are affected, and the burden of the lower structure is heavier. Meanwhile, the structural web mainly bears shearing force, the temperature difference of the top plate and the bottom plate and the stress problem caused by drying shrinkage of the web are more remarkable, more cracks are easily formed in the web, and the safety and durability of structural operation are seriously affected. The corrugated steel web plate combined box girder replaces a common concrete web plate with a corrugated steel web plate, and the former in-vivo steel beam is applied to the outside of the corrugated steel web plate continuous rigid frame bridge. In the continuous rigid frame of the corrugated steel web, concrete is used for bending resistance, the corrugated steel web is used for shearing resistance, and bending moment and shearing force are respectively borne by the top plate, the bottom plate and the corrugated steel web; the in-vivo prestress steel beam mainly bears primary constant load, and the in-vitro prestress steel beam mainly bears active load and secondary constant load. The corrugated steel web has higher tensile and shear strength, and basically solves the problem of web cracking; meanwhile, the self weight of the continuous rigid frame is reduced, the prestress efficiency is improved, the mid-span downwarping is greatly reduced, the external cable can be repaired and expanded, the bridge is convenient to maintain and strengthen, the external cable is visible and replaceable, and the like. Become the bridge type that is now popular.
However, along with the rapid development and application of the continuous rigid frame bridge with the corrugated steel web, the in-vitro prestressed cable tensioning quality evaluation also becomes an indispensable part before the safe operation of bridge traffic. In the prior art, the method for evaluating the tensioning quality of the external prestressed cable of the continuous rigid frame bridge body of the corrugated steel web is various, but in the external cable evaluating process: errors are difficult to control, the testing process is complex, the conventional parameters are more, the device is not reusable, the economical efficiency is poor, and the like. Therefore, a quick, convenient and high-test-precision in-vitro cable tensioning quality evaluation method is particularly important.
Disclosure of Invention
The technical problem to be solved by the invention is to provide a nondestructive testing method for the external cable tensioning quality of a continuous rigid frame bridge body of a waveform steel web, which aims at the defects in the prior art, calculates and corrects the cable force theory through actual cable force measurement, and reversely pushes the external cable bending stiffness correction coefficient to obtain the external cable bending stiffness influenced by external factors, so that the nondestructive testing for the conventional external cable tensioning quality is simple and quick in testing, convenient to operate, wide in testing range, reusable in testing equipment, good in economy and high in testing precision, can effectively evaluate the external cable tensioning quality of the continuous rigid frame bridge of the waveform steel web with a large span, ensures the safety of the bridge structure, prolongs the service time of the bridge, indirectly saves the construction and maintenance cost of the bridge, and is convenient to popularize and use.
In order to solve the technical problems, the invention adopts the following technical scheme: the method for nondestructive testing of the tensioning quality of the outer cables of the continuous rigid frame girder bridge body with the corrugated steel webs is characterized by comprising the following steps of:
step one, outer cable segmentation: dividing each beam of outer ropes into N+1 sections of outer rope segments by N diverters on a continuous rigid frame beam bridge of a corrugated steel web, wherein N is a positive integer not less than 2;
the external rope comprises a calibrated external rope and a conventional external rope;
step two, eliminating multiple constraint type external cable segments in the calibrated external cable: each section of the external cable in the calibration external cable has two-end constraint, when the external cable section in the calibration external cable has a third constraint which is not two-end constraint, the section is a multi-constraint calibration external cable section, the rest external cable sections in the calibration external cable are normal calibration external cable sections, and the multi-constraint calibration external cable sections are removed;
step three, the external cable bending rigidity calibration value is reversely pushed by using the calibration external cable, and the process is as follows:
step 301, installing a handheld cable force test analyzer on the i-th section normal calibration outer cable segment, knocking the i-th section normal calibration outer cable segment by using a rubber hammer, acquiring the cable force by using a pressure sensor, and acquiring the self-vibration frequency order n of the cable and the n-th self-vibration frequency f of the cable by using the handheld cable force test analyzer n The method comprises the steps of carrying out a first treatment on the surface of the Wherein i is the number of the remaining normal calibration outer cable segments in the calibration outer cable;
according to the formulaThe bending rigidity correction coefficient alpha of the external steel strand is reversely pushed, wherein T is the secondary cable force obtained by the pressure sensor, L is the secondary external cable segment length, p is the linear density of the cable, EI 'is the theoretical value of the bending rigidity of the single steel strand in the external cable, and EI' =E.I x E is the elastic modulus of a single steel strand, I x The section moment of inertia of a single steel strand;
the bending stiffness EI of the secondary body is reversely pushed according to the formula EI=alpha EI';
step 302, repeatedly cycling the step 301 to obtain a repeated reverse thrust value of the in-vitro cable bending stiffness EI of the i-th section normal calibration in-vitro cable segment;
step 303, averaging the multiple back-pushing values of the in-vitro bending stiffness EI of the in-vitro section of the i-th section normal calibration, and obtaining the average value of the in-vitro bending stiffness EI of the in-vitro section of the i-th section normal calibration;
step 304, repeatedly cycling the steps 301 to 303, and obtaining an average value of the in-vitro cable bending stiffness EI of each section of normal calibration in-vitro cable section;
step 305, averaging the average value of the in-vitro bending stiffness EI of each segment of the normal calibration in-vitro cable segment to obtain an in-vitro bending stiffness calibration value of the in-vitro cable;
fourth, calibrating the tension quality of the external cableLoss detection: averaging the multiple cable forces obtained by the pressure sensor in the third step to obtain the cable force T of the calibrated external cable b According to the formulaCalculating the deviation rate eta of the cable force of the calibrated outer cable b When eta b When the value is more than 0.05, the tensile quality of the external cable is not qualified; otherwise, calibrating the tensioning quality of the external cable to be qualified, wherein T is bl The theoretical cable force value of the external cable is calibrated;
step five, conventional external cable tensioning quality nondestructive testing is carried out, and conventional external cables outside the continuous rigid frame girder bridge of the corrugated steel web are subjected to nondestructive testing one by one; in the process of nondestructive testing of the conventional outer ropes one by one, the nondestructive testing method of each conventional outer rope is the same;
when nondestructive detection is carried out on any conventional external cable outside the continuous rigid frame girder bridge of the waveform steel web to be detected, the process is as follows:
step 501, eliminating multiple constraint type external cable segments in a conventional external cable: each section of the external rope in the conventional external rope is provided with two-end constraint, when the external rope section in the conventional external rope is provided with a third constraint which is not two-end constraint, the section is a multi-constraint conventional external rope section, the rest external rope sections in the conventional external rope are normal conventional external rope sections, and the multi-constraint conventional external rope sections are removed;
step 502, installing a handheld cable force test analyzer on the j-th section normal and conventional external cable segment, knocking the j-th section normal and conventional external cable segment by using a rubber hammer, and acquiring the natural vibration frequency order n of the secondary cable and the n-th natural vibration frequency f of the cable by the handheld cable force test analyzer n The method comprises the steps of carrying out a first treatment on the surface of the Wherein j is the number of the normal external cable segment remaining in the normal external cable;
according to the formulaCalculating the cable force T of the inferior normal external cable g Wherein->The in vitro flexural rigidity calibration value calculated in the step 305 is obtained;
step 503, repeatedly cycling step 502 to obtain cable force which is measured repeatedly by the handheld cable force test analyzer and is arranged on the j-th normal external cable segment;
step 504, averaging the cable force measured for a plurality of times on the j-th section normal external cable segment of the handheld cable force test analyzer, and obtaining the average value of the cable force measured for a plurality of times on the j-th section normal external cable segment of the handheld cable force test analyzer;
step 505, cycling the steps 502 to 504 for a plurality of times, and obtaining an average value of the cable force of the handheld cable force test analyzer installed on each section of normal external cable segment;
506, averaging the average value of the cable force of the handheld cable force test analyzer installed on each section of normal conventional external cable segment to obtain the cable force of the conventional external cable;
step 507, according to the formulaCalculating the cable force deviation rate eta of the conventional external cable c When eta c When the tension quality of the conventional external cable is more than 0.05, the conventional external cable is unqualified; otherwise, the tensioning quality of the conventional external cable is qualified, wherein T is cl Is the theoretical cable force value of the conventional external cable.
The nondestructive testing method for the outer cable tensioning quality of the corrugated steel web continuous rigid frame girder bridge body is characterized by comprising the following steps of: the constraint is that the outer cable and the corrugated steel web continuous rigid frame girder bridge body have contact points.
The nondestructive testing method for the outer cable tensioning quality of the corrugated steel web continuous rigid frame girder bridge body is characterized by comprising the following steps of: in the second step, the two-end constraint of the outer rope section positioned at one end of the conventional outer rope is formed by the outer rope anchoring section and the steering gear, the two-end constraint of the outer rope section positioned at the other end of the conventional outer rope is formed by the steering gear and the outer rope fixing section, the two-end constraint of the outer rope section which is not positioned at the end of the conventional outer rope is formed by two adjacent steering gears, and the multi-constraint outer rope section in the conventional outer rope is formed by two adjacent steering gears and a shock absorber or a box internal tooth block positioned between the two adjacent steering gears.
The nondestructive testing method for the outer cable tensioning quality of the corrugated steel web continuous rigid frame girder bridge body is characterized by comprising the following steps of: in step 501, the two-end constraint of the outer cable segment at one end of the conventional outer cable is formed by the outer cable anchoring segment and the diverter, the two-end constraint of the outer cable segment at the other end of the conventional outer cable is formed by the diverter and the outer cable fixing segment, the two-end constraint of the outer cable segment at the non-end of the conventional outer cable is formed by two adjacent diverters, and the multi-constraint outer cable segment of the conventional outer cable is formed by two adjacent diverters and the damper or the box inner tooth block between the two adjacent diverters.
The nondestructive testing method for the outer cable tensioning quality of the corrugated steel web continuous rigid frame girder bridge body is characterized by comprising the following steps of: in step 302, in the process of multiple circulation step 301, the installation position of the handheld cable force testing analyzer is unchanged, the testing mode and conditions are the same, at this time, the pressure sensor obtains a plurality of cable force values, the discrete error of the plurality of cable force values is not more than 3 times of variance of the plurality of cable force values, and otherwise, the cable force value obtained by the pressure sensor is invalid.
The nondestructive testing method for the outer cable tensioning quality of the corrugated steel web continuous rigid frame girder bridge body is characterized by comprising the following steps of: in step 302, step 301 is looped at least three times.
Compared with the prior art, the invention has the following advantages:
1. according to the invention, each beam of outer cable is divided into N+1 sections of outer cable sections by N diverters on the continuous rigid frame beam bridge with the corrugated steel web, the whole outer cable parameters are represented by using a sectional measurement averaging mode, the larger deviation caused by a single-point sampling measurement mode is avoided, and the method is convenient to popularize and use.
2. According to the method, after the external rope is segmented, the multi-constraint calibrated external rope segment with the third constraint which is not limited at two ends and appears in the external rope segment in the calibrated external rope is removed, and similarly, when the conventional external rope is detected, the multi-constraint conventional external rope segment with the third constraint which is not limited at two ends and appears in the external rope segment in the conventional external rope is removed, so that the accuracy and the effectiveness of frequency measurement are ensured, and the measurement effect is good.
3. The method has simple steps, because the single-strand outer cable is composed of a plurality of steel strands, the single steel strand is covered with a protective layer and grease is filled among the plurality of steel strands, the bending rigidity of the single Shu Tiwai cable is influenced, the actual calculation is difficult to obtain, the cable force theory is calculated and corrected through the actual cable force measurement, the bending rigidity correction coefficient of the outer cable is reversely pushed, the bending rigidity of the outer cable influenced by the external factor is obtained, the error is reduced through repeated measurement and reverse pushing for a plurality of times, the nondestructive testing of the conventional outer cable tensioning quality is further realized, the testing is simple and quick, the operation is convenient, the testing range is wide, the testing equipment can be repeatedly used, the economy is good, the testing precision is high, the safety of the bridge structure is ensured, the service time of the bridge is prolonged, the building cost of the bridge is indirectly saved, and the popularization and the use is convenient.
In summary, the invention calculates and corrects the cable force theory through actual cable force measurement, reversely pushes the external cable bending stiffness correction coefficient, acquires the external cable bending stiffness influenced by external factors, further carries out nondestructive testing on the conventional external cable tensioning quality, has simple and quick test, convenient operation, wide test range, reusable test equipment, good economy and high test precision, can effectively evaluate the external cable tensioning quality of the long-span corrugated steel web continuous rigid frame bridge, ensures the safety of the bridge structure, prolongs the in-service time of the bridge, indirectly saves the construction cost of the bridge, and is convenient to popularize and use.
The technical scheme of the invention is further described in detail through the drawings and the embodiments.
Drawings
FIG. 1 is a block flow diagram of the method of the present invention.
Detailed Description
As shown in fig. 1, the method for nondestructive testing of the external cable stretching quality of the corrugated steel web continuous rigid frame girder bridge, provided by the invention, has the advantages that the number of the external cables is multiple, the pressure sensor is pre-embedded in the anchoring section of at least one external cable, the external cable with the pressure sensor pre-embedded in the anchoring section is regarded as a calibrated external cable, and the external cable without the pressure sensor pre-embedded in the anchoring section is regarded as a conventional external cable, and the method is characterized by comprising the following steps:
step one, outer cable segmentation: dividing each beam of outer ropes into N+1 sections of outer rope segments by N diverters on a continuous rigid frame beam bridge of a corrugated steel web, wherein N is a positive integer not less than 2;
the external rope comprises a calibrated external rope and a conventional external rope;
it should be noted that, through N steering gears on the continuous rigid frame beam bridge of wave form steel web, separate each external cable into the external cable segment of N+1 section, utilize the segmentation measurement to take the mean mode to represent whole external cable parameter, avoid the great deviation that single-point sampling measurement mode brought.
Step two, eliminating multiple constraint type external cable segments in the calibrated external cable: each section of the external cable in the calibration external cable has two-end constraint, when the external cable section in the calibration external cable has a third constraint which is not two-end constraint, the section is a multi-constraint calibration external cable section, the rest external cable sections in the calibration external cable are normal calibration external cable sections, and the multi-constraint calibration external cable sections are removed;
the method is characterized in that after the external rope is segmented, the multi-constraint type calibrated external rope segment with the third constraint type which is not limited at two ends and appears in the external rope segment in the calibrated external rope is removed, and similarly, when the conventional external rope is detected, the multi-constraint type conventional external rope segment with the third constraint type which is not limited at two ends and appears in the external rope segment in the conventional external rope is removed, so that the accuracy and the effectiveness of frequency measurement are ensured, and the measurement effect is good.
Step three, the external cable bending rigidity calibration value is reversely pushed by using the calibration external cable, and the process is as follows:
step 301, installing a handheld cable force test analyzer on the i-th section normal calibration outer cable segment, knocking the i-th section normal calibration outer cable segment by using a rubber hammer, acquiring the cable force by using a pressure sensor, and acquiring the self-vibration frequency order n of the cable and the n-th self-vibration frequency f of the cable by using the handheld cable force test analyzer n The method comprises the steps of carrying out a first treatment on the surface of the Wherein the method comprises the steps ofI is the number of the remaining normal calibration outer cable segments in the calibration outer cable;
according to the formulaThe bending rigidity correction coefficient alpha of the external steel strand is reversely pushed, wherein T is the secondary cable force obtained by the pressure sensor, L is the secondary external cable segment length, p is the linear density of the cable, EI 'is the theoretical value of the bending rigidity of the single steel strand in the external cable, and EI' =E.I x E is the elastic modulus of a single steel strand, I x The section moment of inertia of a single steel strand;
the bending stiffness EI of the secondary body is reversely pushed according to the formula EI=alpha EI';
because the single-strand outer cable is composed of a plurality of steel strands, the single steel strand is covered with a protective layer and grease is filled among the plurality of steel strands, the bending rigidity of the single Shu Tiwai cable is affected, the actual calculation is difficult to obtain, the theoretical calculation and correction of the cable force are carried out through the actual cable force measurement, the bending rigidity correction coefficient of the outer cable is reversely pushed, and the bending rigidity of the outer cable affected by the external factor is obtained.
Step 302, repeatedly cycling the step 301 to obtain a repeated reverse thrust value of the in-vitro cable bending stiffness EI of the i-th section normal calibration in-vitro cable segment;
step 303, averaging the multiple back-pushing values of the in-vitro bending stiffness EI of the in-vitro section of the i-th section normal calibration, and obtaining the average value of the in-vitro bending stiffness EI of the in-vitro section of the i-th section normal calibration;
step 304, repeatedly cycling the steps 301 to 303, and obtaining an average value of the in-vitro cable bending stiffness EI of each section of normal calibration in-vitro cable section;
step 305, averaging the average value of the in-vitro bending stiffness EI of each segment of the normal calibration in-vitro cable segment to obtain an in-vitro bending stiffness calibration value of the in-vitro cable;
the method is characterized in that the in-vitro cable bending stiffness calibration value of the in-vitro cable is obtained through repeated measurement and back-pushing, so that the error is reduced.
Calibrating the nondestructive testing of the tensioning quality of the external cable: to stepThe multiple cable force obtained by the pressure sensor in the third step is averaged to obtain the cable force T of the calibrated external cable b According to the formulaCalculating the deviation rate eta of the cable force of the calibrated outer cable b When eta b When the value is more than 0.05, the tensile quality of the external cable is not qualified; otherwise, calibrating the tensioning quality of the external cable to be qualified, wherein T is bl The theoretical cable force value of the external cable is calibrated;
the method is characterized in that the tension of the calibrated external cable is obtained by taking the average of the multiple cable forces obtained by the pressure sensor, the cable force measured by the pressure sensor is compared with the theoretical cable force value of the calibrated external cable, the deviation is obtained directly and rapidly, the actual deviation of theoretical analysis and engineering, the objective existence of long-term prestress loss in the later operation period and the low tension stress level are considered, and the actual measurement value is not less than 95% of the theoretical effective prestress by combining the conventional engineering detection experience to serve as a judgment standard.
Step five, conventional external cable tensioning quality nondestructive testing is carried out, and conventional external cables outside the continuous rigid frame girder bridge of the corrugated steel web are subjected to nondestructive testing one by one; in the process of nondestructive testing of the conventional outer ropes one by one, the nondestructive testing method of each conventional outer rope is the same;
when nondestructive detection is carried out on any conventional external cable outside the continuous rigid frame girder bridge of the waveform steel web to be detected, the process is as follows:
step 501, eliminating multiple constraint type external cable segments in a conventional external cable: each section of the external rope in the conventional external rope is provided with two-end constraint, when the external rope section in the conventional external rope is provided with a third constraint which is not two-end constraint, the section is a multi-constraint conventional external rope section, the rest external rope sections in the conventional external rope are normal conventional external rope sections, and the multi-constraint conventional external rope sections are removed;
step 502, installing a handheld cable force test analyzer on the j-th section normal and conventional external cable segment, knocking the j-th section normal and conventional external cable segment by using a rubber hammer, and acquiring the self-vibration frequency of the secondary cable by the handheld cable force test analyzerOrder n and the nth order natural vibration frequency f of the cable n The method comprises the steps of carrying out a first treatment on the surface of the Wherein j is the number of the normal external cable segment remaining in the normal external cable;
according to the formulaCalculating the cable force T of the inferior normal external cable g Wherein->The in vitro flexural rigidity calibration value calculated in the step 305 is obtained;
step 503, repeatedly cycling step 502 to obtain cable force which is measured repeatedly by the handheld cable force test analyzer and is arranged on the j-th normal external cable segment;
step 504, averaging the cable force measured for a plurality of times on the j-th section normal external cable segment of the handheld cable force test analyzer, and obtaining the average value of the cable force measured for a plurality of times on the j-th section normal external cable segment of the handheld cable force test analyzer;
step 505, cycling the steps 502 to 504 for a plurality of times, and obtaining an average value of the cable force of the handheld cable force test analyzer installed on each section of normal external cable segment;
506, averaging the average value of the cable force of the handheld cable force test analyzer installed on each section of normal conventional external cable segment to obtain the cable force of the conventional external cable;
step 507, according to the formulaCalculating the cable force deviation rate eta of the conventional external cable c When eta c When the tension quality of the conventional external cable is more than 0.05, the conventional external cable is unqualified; otherwise, the tensioning quality of the conventional external cable is qualified, wherein T is cl Is the theoretical cable force value of the conventional external cable.
The method is characterized in that the standard value of the bending stiffness of the external cable calculated in the step 305 is utilized to carry out nondestructive testing on the tensioning quality of the conventional external cable, and the method has the advantages of simple and quick test, convenient operation, wide test range, repeated use of test equipment, good economy and high test precision, can effectively evaluate the tensioning quality of the external cable of the continuous rigid frame bridge with the large-span waveform steel web, ensures the safety of the bridge structure, prolongs the in-service time of the bridge, and indirectly saves the construction and maintenance cost of the bridge.
In this embodiment, the constraint is that the outer cable has a contact point with the continuous rigid frame girder bridge body of the corrugated steel web.
In the second embodiment, in the step two, the two-end constraint of the outer cable segment located at one end of the conventional outer cable is formed by the outer cable anchoring segment and the diverter, the two-end constraint of the outer cable segment located at the other end of the conventional outer cable is formed by the diverter and the outer cable fixing segment, the two-end constraint of the outer cable segment not located at the end of the conventional outer cable is formed by two adjacent diverters, and the multi-constraint outer cable segment in the conventional outer cable is formed by two adjacent diverters and the damper or the box inner tooth block located between the two adjacent diverters.
In this embodiment, in step 501, the two-end constraint of the outer cable segment located at one end of the conventional outer cable is formed by the outer cable anchoring segment and the diverter, the two-end constraint of the outer cable segment located at the other end of the conventional outer cable is formed by the diverter and the outer cable fixing segment, the two-end constraint of the outer cable segment not located at the end of the conventional outer cable is formed by two adjacent diverters, and the multi-constraint outer cable segment in the conventional outer cable is formed by two adjacent diverters and the damper or the box inner tooth block located between the two adjacent diverters.
In this embodiment, in step 302, in the process of multiple circulation step 301, the installation position of the handheld cable force testing analyzer is unchanged, the testing mode and conditions are the same, at this time, the pressure sensor obtains multiple cable force values, the discrete error of the multiple cable force values is not greater than 3 times of the variance of the multiple cable force values, otherwise, the cable force value obtained by the pressure sensor is invalid.
In this embodiment, in step 302, the number of times of the loop step 301 is not less than three.
When the device is used, the cable force theory is calculated and corrected through actual cable force measurement, the external cable bending stiffness correction coefficient is reversely pushed, the external cable bending stiffness influenced by external factors is obtained, the conventional external cable tensioning quality nondestructive test is further carried out, the device is simple and quick to test, convenient to operate, wide in testing range, reusable in testing equipment, good in economy and high in testing precision, the external cable tensioning quality of the large-span corrugated steel web continuous rigid frame bridge can be effectively evaluated, the bridge structure safety is ensured, the in-service time of the bridge is prolonged, and the building cost of the bridge is indirectly saved.
The foregoing description is only a preferred embodiment of the present invention, and is not intended to limit the present invention, and any simple modification, variation and equivalent structural changes made to the above embodiment according to the technical substance of the present invention still fall within the scope of the technical solution of the present invention.