CN107192491B - Waiting for hinged girder cable force measurement method based on load increment calibration - Google Patents
Waiting for hinged girder cable force measurement method based on load increment calibration Download PDFInfo
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- CN107192491B CN107192491B CN201710438738.XA CN201710438738A CN107192491B CN 107192491 B CN107192491 B CN 107192491B CN 201710438738 A CN201710438738 A CN 201710438738A CN 107192491 B CN107192491 B CN 107192491B
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01L—MEASURING FORCE, STRESS, TORQUE, WORK, MECHANICAL POWER, MECHANICAL EFFICIENCY, OR FLUID PRESSURE
- G01L5/00—Apparatus for, or methods of, measuring force, work, mechanical power, or torque, specially adapted for specific purposes
- G01L5/04—Apparatus for, or methods of, measuring force, work, mechanical power, or torque, specially adapted for specific purposes for measuring tension in flexible members, e.g. ropes, cables, wires, threads, belts or bands
- G01L5/042—Apparatus for, or methods of, measuring force, work, mechanical power, or torque, specially adapted for specific purposes for measuring tension in flexible members, e.g. ropes, cables, wires, threads, belts or bands by measuring vibrational characteristics of the flexible member
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Abstract
The present invention is based on waiting for load increment calibration to belong to technical field of civil engineering for hinged girder cable force measurement method, and in particular to a kind of vibratory drilling method Cable force measuring method；Suo Li corresponding each order frequency f of this method in such a way that drag-line is applied around known weight load, obtaining Suo Li increment Delta T and the front and back that is further applied loadi1、...、fik、...、fin, on this basis, by corresponding equal for hinged beam length L to each order frequency of drag-lineakIt is calculated, recycles Lak, obtain the correction length pervasive to each order frequencyAnd then it utilizes etc. and to correct length for hinged beam modelSolve the rope force value of drag-line；The present invention is solved by establishingModel, introduce average thought, improve measurement accuracy, solve and be completed the drag-line of bridge in practical engineering application and can not carry out tensioning calibration again, the confinement problems small for the hinge connected beam method scope of application such as lead to.
Description
Technical field
The present invention is based on waiting for load increment calibration to belong to technical field of civil engineering for hinged girder cable force measurement method, has
Body is related to a kind of vibratory drilling method Cable force measuring method.
Background technique
Drag-line is the main bearing member of cable system bridge, and the transmitting and distribution of power are carried out to cable system bridge.Cable
Power is not only one of the important parameter of cable system Bridge Design, and is bridge construction control and assessment bridge normal use shape
The important indicator of state.As it can be seen that the accuracy of cable force measurement is most important.
In order to improve the measurement accuracy of Cable power, there is equal for hinged beam method, such as Harbin Institute of Technology
Postgraduate's thesis " experimental study of cable force vibration method measurement " that Xiao can rush, and the vibratory drilling method drag-line based on linear model
(application No. is 201710237087.8 patents of invention " based on equal Cable power survey for hinged beam model for cable force measurement method
Amount method ").In the method, core formula is as follows:
Wherein, T indicates Cable power (N), and m indicates drag-line line density (kg/m), LakIndicate that drag-line k first order mode is corresponding etc.
For hinged girder model length (m), fkIt indicates the k rank natural frequency of vibration (Hz), EI indicates rope section bending stiffness (Nm2), and π indicates circle
Frequency.
Deng although can be improved Cable power measurement accuracy for hinge connected beam method, if expecting more accurate equal for hinged girder
Length Lak, it needs to carry out tensioning calibration to drag-line in the construction stage, however, in practical engineering applications, for the overwhelming majority
Bridge through building up, drag-line are that no condition carries out tensioning calibration.Therefore, it waits for hinge connected beam method in practical engineering applications
With limitation.
Summary of the invention
To solve the above-mentioned problems, the invention discloses a kind of waiting for hinged girder cable force measurement based on load increment calibration
Method, most drag-lines that this method is able to solve practical engineering application Bridge can not carry out tensioning calibration again, cause
Deng the confinement problems small for the hinge connected beam method scope of application.
The object of the present invention is achieved like this:
Waiting for hinged girder cable force measurement method based on load increment calibration, comprising the following steps:
Step a, it is loaded near drag-line to be measured by stacking sandbag mode, demarcates two-stage Cable power TiAnd Suo Li
TiCorresponding n rank vibration frequency fi1、...、fik、...、finData；
Wherein, i=1,2 indicate load rank；TiIndicate i-stage Cable power；fikIndicate Suo Li TiCorresponding k rank vibration
Frequency data；
Step b, according to measured n rank vibration frequency fi1、...、fik、...、finData and Suo Li increment Delta T, according to such as
Lower formula, calculating kth rank vibration frequency are corresponding equal for hinged beam length Lak:
Wherein, m indicates drag-line line density (kg/m)；
Step c, L is utilizedak, according to following formula, calculate the correction length pervasive to each rank
Step d, in the subsequent operation of bridge and reinforcing stage, any two-stage Suo Li T is applied to drag-linei', measurement and power rope Ti′
Corresponding n rank vibration frequency fi1' ..., fik' ..., fin′；
Step e, according to following formula, according to n rank vibration frequency f obtained in step di1' ..., fik' ..., fin' number
According to obtaining revised each rank Suo Li T under two-stage load conditionik':
Step f, according to following formula, acquisition Suo Li in step e is averaged to the average value that two-stage Suo Li is calculated
It obtainsAs Suo Li estimated value.
The utility model has the advantages that
The present invention is in such a way that drag-line is applied around known weight load, obtaining Suo Li increment Delta T and applying lotus
Carry the corresponding each order frequency f of Suo Li of front and backi1、...、fik、...、fin, by hinged to each order frequency of drag-line corresponding equal generation
Beam length LakIt is calculated, obtains the correction length pervasive to each order frequencyIt is solved by establishingModel, introduce
Average thought, improves measurement accuracy, and the drag-line for solving built bridge in practical engineering application can not be opened again
Calibration is drawn, the confinement problems small for the hinge connected beam method scope of application such as leads to.
Detailed description of the invention
Fig. 1 is the schematic cross-section of PES7-109 type drag-line.
Fig. 2 is inhaul cable vibration auto-power spectrum spectrogram.
Specific embodiment
The specific embodiment of the invention is described in further detail with reference to the accompanying drawing.
Specific embodiment one
The waiting for hinged girder cable force measurement method based on load increment calibration of the present embodiment, comprising the following steps:
Step a, it is loaded near drag-line to be measured by stacking sandbag mode, demarcates two-stage Cable power TiAnd Suo Li
TiCorresponding n rank vibration frequency fi1、...、fik、...、finData；
Wherein, i=1,2 indicate load rank；TiIndicate i-stage Cable power；fikIndicate Suo Li TiCorresponding k rank vibration
Frequency data；
Step b, according to measured n rank vibration frequency fi1、...、fik、...、finData and Suo Li increment Delta T, according to such as
Lower formula, calculating kth rank vibration frequency are corresponding equal for hinged beam length Lak:
Wherein, m indicates drag-line line density (kg/m)；
Step c, L is utilizedak, according to following formula, calculate the correction length pervasive to each rank
Step d, in the subsequent operation of bridge and reinforcing stage, any two-stage Suo Li T is applied to drag-linei', measurement and power rope Ti′
Corresponding n rank vibration frequency fi1' ..., fik' ..., fin′；
Step e, according to following formula, according to n rank vibration frequency f obtained in step di1' ..., fik' ..., fin' number
According to obtaining revised each rank Suo Li T under two-stage load conditionik':
Step f, according to following formula, acquisition Suo Li in step e is averaged to the average value that two-stage Suo Li is calculated
It obtainsAs Suo Li estimated value.
Specific embodiment two
The waiting for hinged girder cable force measurement method, according to specific embodiment one based on load increment calibration of the present embodiment
Process carries out actual measurement to PES7-109 type drag-line, and the schematic cross-section of the drag-line is as shown in Figure 1.The technology of the drag-line is joined
Number is as follows: rope long l=69.04m, line density m=46kg/m, sectional area A=5349mm2, limit Suo Li Tlim=8993kN, folding
Calculate bending stiffness EI=446.26kNm.
This method is as follows:
Step a, it is loaded near drag-line to be measured by stacking sandbag mode, two-stage Suo Li T is applied to drag-line1And T2,
By inhaul cable vibration auto-power spectrum spectrogram as shown in Figure 2, two-stage Cable power T is demarcated respectivelyiWith Suo Li TiCorresponding n rank
Vibration frequency fi1、...、fik、...、finData, as shown in table 1:
1 vibration frequency of table and Suo Li incremental data table
The frequency data of frequency in table 1 are become to square of frequency, as shown in table 2:
2 vibration frequency square tables of data of table
Step b, according to measured n rank vibration frequency fi1、...、fik、...、finData and Suo Li increment Delta T, according to such as
Lower formula, calculating kth rank vibration frequency are corresponding equal for hinged beam length Lak:
Wherein, m indicates drag-line line density (kg/m)；
In the present embodiment, according to line density m=46kg/m, in available kth rank vibration frequency corresponding equal generation, is hinged
Beam length LakCalculated result is as shown in table 3:
Tables 3 etc. are for hinged girder length data table
Step c, L is utilizedak, according to following formula, calculate the correction length pervasive to each rank
It is available by the data in table 3Calculated result be 66.09m；
Step d, in the subsequent operation of bridge and reinforcing stage, any two-stage Suo Li T is applied to drag-linei', measurement and power rope Ti′
Corresponding n rank vibration frequency fi1' ..., fik' ..., fin′；
In the present embodiment, to embody the present invention according to the inclined of the obtained Cable power estimated value of the above method and actual value
Difference, using the Suo Li T applied in step a1For 1205N, T2For 1515N, corresponding vibration frequency is as shown in table 1；
Step e, according to following formula, according to n rank vibration frequency f obtained in step di1' ..., fik' ..., fin' number
According to obtaining revised each rank Suo Li T under two-stage load conditionik':
The 12 order frequency rope force value of rope of table 4
Step f, according to following formula, acquisition Suo Li in step e is averaged to the average value that two-stage Suo Li is calculated
By the data in table 4, the average value of Suo Li under available two-stage load condition:
Finally, the two-stage Suo Li calculated result that will be acquired according to the method for the present inventionFor 1186.94kN,For
1496.94kN is compared with theoretical value 1205kN and 1515kN, and relative error is only -1.49% and -1.19%, the result
Show the Suo Li calculated result and true value deviation very little that the method for the present invention obtains, can be used for practical cable force measurement.
The foregoing is only a preferred embodiment of the present invention, but scope of protection of the present invention is not limited thereto,
Anyone skilled in the art in the technical scope disclosed by the present invention, according to the technique and scheme of the present invention and its
Inventive concept is subject to equivalent substitution or change, should be covered by the protection scope of the present invention.
Claims (1)
1. waiting for hinged girder cable force measurement method based on load increment calibration, which comprises the following steps:
Step a, it is loaded near drag-line to be measured by stacking sandbag mode, demarcates two-stage Cable power TiWith Suo Li TiIt is right
The n rank vibration frequency f answeredi1、...、fik、...、finData；
Wherein, i=1,2 indicate load rank；TiIndicate i-stage Cable power；fikIndicate Suo Li TiCorresponding k rank vibration frequency number
According to；
Step b, according to measured n rank vibration frequency fi1、...、fik、...、finData and Suo Li increment Delta T, according to following public affairs
Formula, calculating kth rank vibration frequency are corresponding equal for hinged beam length Lak:
Wherein, m indicates drag-line line density, and unit is kg/m；
Step c, L is utilizedak, according to following formula, calculate the correction length pervasive to each rank
Step d, in the subsequent operation of bridge and reinforcing stage, any two-stage Suo Li T is applied to drag-linei', measurement and power rope Ti' corresponding
N rank vibration frequency fi1' ..., fik' ..., fin′；
Step e, according to following formula, according to n rank vibration frequency f obtained in step di1' ..., fik' ..., fin' data,
Obtain revised each rank Suo Li T under two-stage load conditionik':
Wherein, EI indicates rope section bending stiffness, and unit is Nm2；
Step f, according to following formula, acquisition Suo Li in step e is averaged to the average value that two-stage Suo Li is calculated
It obtainsAs Suo Li estimated value.
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| CN112254858A (en) * | 2020-09-15 | 2021-01-22 | 中交第二公路工程局有限公司 | Stay cable force test method |
| CN113848009A (en) * | 2021-09-22 | 2021-12-28 | 浙江浙交检测技术有限公司 | Detection method and detection equipment for constant-load cable force of arch bridge suspender |
Citations (4)
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|---|---|---|---|---|
| CN101368860A (en) * | 2008-09-12 | 2009-02-18 | 江苏工业学院 | Method for correcting FFT data in stayed-cable force of stayed-cable bridge detected by frequency method |
| CN101893497A (en) * | 2010-06-13 | 2010-11-24 | 东南大学 | Out-of-plane frequency method for testing cable force of planar cable rod system |
| CN102735386A (en) * | 2012-07-14 | 2012-10-17 | 福州大学 | Bending stiffness-considered numerical computation method for stay cable forces |
| CN103217248A (en) * | 2013-04-28 | 2013-07-24 | 清华大学 | Method for detecting tensile force of bridge steel cable |
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2017
- 2017-06-12 CN CN201710438738.XA patent/CN107192491B/en active Active
Patent Citations (4)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN101368860A (en) * | 2008-09-12 | 2009-02-18 | 江苏工业学院 | Method for correcting FFT data in stayed-cable force of stayed-cable bridge detected by frequency method |
| CN101893497A (en) * | 2010-06-13 | 2010-11-24 | 东南大学 | Out-of-plane frequency method for testing cable force of planar cable rod system |
| CN102735386A (en) * | 2012-07-14 | 2012-10-17 | 福州大学 | Bending stiffness-considered numerical computation method for stay cable forces |
| CN103217248A (en) * | 2013-04-28 | 2013-07-24 | 清华大学 | Method for detecting tensile force of bridge steel cable |
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