CN107014541A - Generation is waited to be hinged beam model cable force measurement method based on linear model amendment - Google Patents
Generation is waited to be hinged beam model cable force measurement method based on linear model amendment Download PDFInfo
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- CN107014541A CN107014541A CN201710253358.9A CN201710253358A CN107014541A CN 107014541 A CN107014541 A CN 107014541A CN 201710253358 A CN201710253358 A CN 201710253358A CN 107014541 A CN107014541 A CN 107014541A
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- 238000000691 measurement method Methods 0.000 title claims abstract description 9
- 238000000034 method Methods 0.000 claims abstract description 35
- 238000012417 linear regression Methods 0.000 claims abstract description 11
- 238000012937 correction Methods 0.000 claims abstract description 6
- FGUUSXIOTUKUDN-IBGZPJMESA-N C1(=CC=CC=C1)N1C2=C(NC([C@H](C1)NC=1OC(=NN=1)C1=CC=CC=C1)=O)C=CC=C2 Chemical compound C1(=CC=CC=C1)N1C2=C(NC([C@H](C1)NC=1OC(=NN=1)C1=CC=CC=C1)=O)C=CC=C2 FGUUSXIOTUKUDN-IBGZPJMESA-N 0.000 claims description 8
- 238000010276 construction Methods 0.000 claims description 5
- GNFTZDOKVXKIBK-UHFFFAOYSA-N 3-(2-methoxyethoxy)benzohydrazide Chemical compound COCCOC1=CC=CC(C(=O)NN)=C1 GNFTZDOKVXKIBK-UHFFFAOYSA-N 0.000 claims description 4
- 238000004873 anchoring Methods 0.000 claims description 4
- 230000003014 reinforcing effect Effects 0.000 claims description 4
- 238000005259 measurement Methods 0.000 abstract description 18
- 238000005553 drilling Methods 0.000 abstract description 8
- 239000004956 Amodel Substances 0.000 abstract description 2
- 238000004364 calculation method Methods 0.000 description 6
- 238000005452 bending Methods 0.000 description 2
- 238000005516 engineering process Methods 0.000 description 2
- 238000001228 spectrum Methods 0.000 description 2
- 206010068052 Mosaicism Diseases 0.000 description 1
- 238000013459 approach Methods 0.000 description 1
- 230000009286 beneficial effect Effects 0.000 description 1
- 230000005540 biological transmission Effects 0.000 description 1
- 238000006243 chemical reaction Methods 0.000 description 1
- 238000013461 design Methods 0.000 description 1
- 210000003765 sex chromosome Anatomy 0.000 description 1
- 238000006467 substitution reaction Methods 0.000 description 1
Classifications
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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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- Measurement Of Mechanical Vibrations Or Ultrasonic Waves (AREA)
Abstract
The present invention is hinged beam model cable force measurement method and belongs to technical field of civil engineering in the grade generation based on linear model amendment, and in particular to a kind of vibratory drilling method Cable force measuring method；This method is conventionally obtained and k rank vibration frequencies fikCorresponding linear regression coeffficient Ak, on this basis, utilize AkCalculated, obtain the coefficient of stability suitable for each rankRecycleIn the generation such as calculating, is hinged beam model correction length La, and then the generation such as utilize to be hinged beam model correction length LaSolve the rope force value of drag-line；The present invention not only solves L by setting upaModel, introduce average thought, improve measurement accuracy, solve etc. generation be hinged beam method for tackline cable force measurement precision it is low, error is big the problem of, and eliminate relation with exponent number, solve in the vibratory drilling method Cable force measuring method based on linear model, the confinement problems that can not be gathered due to some exponent number frequencies and cause this method not apply.
Description
Technical field
The present invention is hinged beam model cable force measurement method and belongs to civil engineering technology neck in the grade generation based on linear model amendment
A kind of domain, and in particular to vibratory drilling method Cable force measuring method.
Background technology
Drag-line is the main bearing member of cable system bridge, and the transmission and distribution of power are carried out to cable system bridge.Cable
Power is not only one of important parameter of cable system Bridge Design, and is that bridge construction control and assessment bridge normally use shape
The important indicator of state.It can be seen that, the accuracy of cable force measurement is most important.
In order to improve the measurement accuracy of Cable power, occur in that etc. that generation is hinged beam method, such as Harbin Institute of Technology
Postgraduate's thesis that Xiao can rush《The experimental study of cable force vibration method measurement》, and the vibratory drilling method drag-line based on linear model
Cable force measurement method (the patent of invention of Application No. 201510357998.5《Vibratory drilling method Cable power based on linear model is surveyed
Amount method》).In both approaches, core formula is as follows：
Wherein, T represents Cable power (N), and m represents drag-line line density (kg/m), LakRepresent that drag-line k first order modes are corresponding etc.
For hinged girder model length (m), fkThe k ranks natural frequency of vibration (Hz) is represented, EI represents rope section bending rigidity (Nm2), and π represents round
Frequency.
Wherein, T represents Cable power (N), AnAnd BnIt is linear regression coeffficient, fikRepresent the k ranks natural frequency of vibration (Hz).
Although this two classes method can improve Cable power measurement accuracy, however, in practical engineering application, running into
Problems with：
Firstth, etc. generation is hinged beam method has very high measurement accuracy for the Suo Li of long drag-line, but for tackline
Cable force measurement precision is low, error is big；
Secondth, vibratory drilling method Cable force measuring method based on linear model is different due to the linear model of each rank,
Want to obtain higher measurement accuracy, it is necessary to set up the corresponding linear model of every rank.And in in-site measurement, because field condition is multiple
It is miscellaneous, it is difficult to ensure that each order frequency is collected, and a few order frequencies for only collecting, linear model can be caused in reality
There is limitation in the engineer applied of border.
The content of the invention
In order to solve the above problems, beam model Suo Li is hinged the invention discloses a kind of grade generation based on linear model amendment
Measuring method, this method can not only solve etc. generation be hinged beam method for tackline cable force measurement precision is low, error asking greatly
Topic, and can solve the problem that the limitation that the vibratory drilling method Cable force measuring method based on linear model can not be measured due to some frequencies
Sex chromosome mosaicism.
The object of the present invention is achieved like this：
Wait generation to be hinged beam model cable force measurement method based on linear model amendment, comprise the following steps：
Step a, in construction process, to drag-line apply m grades of Suo Li T1、T2、…、Tm, drag-line to be measured is demarcated respectively
Suo Li TiWith with Suo Li TiCorresponding n ranks vibration frequency fi1、fi2、…、finData；
Step b, according to equation below, be fitted TiOnThe frontal regression coefficient of anchoring：
Wherein, AkAnd BkRepresent and k rank vibration frequencies fikCorresponding linear regression coeffficient；
Step c, according to equation below, rank linear regression coeffficient A each to drag-linekWith correspondence exponent number k calculated, obtain and
The coefficient of stability unrelated exponent number k
Step d, utilizationAccording to equation below, in the generation such as calculating, is hinged beam model correction length La：
Wherein, m represents drag-line line density (kg/m)；
Step e, subsequently run and the reinforcing stage in bridge, apply T' pairs of arbitrary number of level Suo Li T', measurement and power rope to drag-line
The n rank vibration frequencies f answered1', f2' ..., fn'；
Step f, according to equation below, the vibration frequency f obtained using step e1', f2' ..., fn', obtain revised n
Individual Suo Li T1, T2..., Tn：
Step g, according to equation below, the step f Suo Li obtained are taken into average calculating, the rope force value of drag-line is obtained：
Obtained T is the rope force value of drag-line.
Beneficial effect：
The present invention is by each rank linear regression coeffficient A of drag-linekCalculated, obtain the coefficient of stability A suitable for each rank,
A is recycled, calculates and unrelated with exponent number k waits generation to be hinged beam model to correct length La, not only solve L by setting upaModel, draw
Average thought is entered, has improved measurement accuracy, the generation such as solving, to be hinged beam method low, by mistake for the cable force measurement precision of tackline
Poor big the problem of, and the relation with exponent number is eliminated, solve the vibratory drilling method Cable force measuring method based on linear model
In, the confinement problems that can not be gathered due to some exponent number frequencies and cause this method not apply.
Brief description of the drawings
Fig. 1 is the schematic cross-section of PES7-109 type drag-lines.
Fig. 2 is inhaul cable vibration auto-power spectrum spectrogram.
Embodiment
The specific embodiment of the invention is described in further detail below in conjunction with the accompanying drawings.
Specific implementation profit one
The waiting for beam model cable force measurement method is hinged based on linear model amendment of the present embodiment, comprises the following steps：
Step a, in construction process, to drag-line apply m grades of Suo Li T1、T2、…、Tm, drag-line to be measured is demarcated respectively
Suo Li TiWith with Suo Li TiCorresponding n ranks vibration frequency fi1、fi2、…、finData；
Step b, according to equation below, be fitted TiOnThe frontal regression coefficient of anchoring：
Wherein, AkAnd BkRepresent and k rank vibration frequencies fikCorresponding linear regression coeffficient；
Step c, according to equation below, rank linear regression coeffficient A each to drag-linekWith correspondence exponent number k calculated, obtain and
The coefficient of stability unrelated exponent number k
Step d, utilizationAccording to equation below, in the generation such as calculating, is hinged beam model correction length La：
Wherein, m represents drag-line line density (kg/m)；
Step e, subsequently run and the reinforcing stage in bridge, apply T' pairs of arbitrary number of level Suo Li T', measurement and power rope to drag-line
The n rank vibration frequencies f answered1', f2' ..., fn'；
Step f, according to equation below, the vibration frequency f obtained using step e1', f2' ..., fn', obtain revised n
Individual Suo Li T1, T2..., Tn：
Step g, according to equation below, the step f Suo Li obtained are taken into average calculating, the rope force value of drag-line is obtained：
Obtained T is the rope force value of drag-line.
Specific implementation profit two
The waiting for beam model cable force measurement method is hinged, according to specific implementation profit based on linear model amendment of the present embodiment
One flow, actual measurement is carried out to PES7-109 types drag-line, and the schematic cross-section of the drag-line is as shown in Figure 1.The skill of the drag-line
Art parameter is as follows：Rope long l=24.41m, line density m=32.9kg/m, sectional area A=4195mm2, limit Suo Li Tlim=
7055kN, conversion bending rigidity EI=280.08kNm.
This method is as follows：
Step a, in construction process, to drag-line apply 2 grades of Suo Li T1And T2, pass through inhaul cable vibration as shown in Figure 2
Auto-power spectrum spectrogram, demarcates the Suo Li T of drag-line to be measured respectivelyiWith with Suo Li TiCorresponding n ranks vibration frequency fi1、fi2、…、fin
Data, as shown in table 1：
The Suo Li of table 1 and vibration frequency tables of data
The frequency data of frequency in table 1 are become to square of frequency, as shown in table 2：
The Suo Li of table 2 and vibration frequency square tables of data
Step b, according to equation below, be fitted TiOnThe frontal regression coefficient of anchoring：
Wherein, AkAnd BkRepresent and k rank vibration frequencies fikCorresponding linear regression coeffficient；
For there was only two demarcation Suo Lishi, i.e., only T1And T2When, above-mentioned formula can be simplified, be：
Obtained AkResult of calculation is as shown in table 3：
The linear model coefficients of table 3
Step c, according to equation below, rank linear regression coeffficient A each to drag-linekWith correspondence exponent number k calculated, obtain and
The coefficient of stability unrelated exponent number k
Wherein, Akk2Result of calculation it is as shown in table 4：
Table 4Akk2Result of calculation table
Data from table 4, can be obtainedResult of calculation be 74.51；
Step d, utilizationAccording to equation below, in the generation such as calculating, is hinged beam model correction length La：
Wherein, m represents drag-line line density (kg/m)；
In the present embodiment, according to line density m=32.9kg/m, L can be obtaineda=23.8m；
Step e, subsequently run and the reinforcing stage in bridge, apply T' pairs of arbitrary number of level Suo Li T', measurement and power rope to drag-line
The n rank vibration frequencies f answered1', f2' ..., fn'；
In the present embodiment, the Suo Li T' of application are 1101kN, measure n ranks vibration frequency such as table 5 corresponding with power rope T'
It is shown：
The demarcation to be measured of table 5 and vibration frequency tables of data
Step f, according to equation below, the vibration frequency f obtained using step e1', f2' ..., fn', obtain revised n
Individual Suo Li T1, T2..., Tn：
The rope demarcation of table 4 T33 order frequency Suo Li calculated values of lower selection and average
For the present embodiment, the three rope force value tried to achieve are respectively 1087kN, 1099kN and 1126kN.
Step g, according to equation below, the step f Suo Li obtained are taken into average calculating, the rope force value of drag-line is obtained：
In the present embodiment, T is 1104kN.
Finally, the Suo Li result of calculations 1104kN tried to achieve according to the inventive method and theoretical value 1101kN is contrasted,
Relative error is only 0.26%, Suo Li result of calculations and actual value deviation very little that the result surface the inventive method is obtained, can
For actual cable force measurement.
The foregoing is only a preferred embodiment of the present invention, but protection scope of the present invention be not limited thereto,
Any one skilled in the art the invention discloses technical scope in, technique according to the invention scheme and its
Inventive concept is subject to equivalent substitution or change, should all be included within the scope of the present invention.
Claims (1)
1. wait generation to be hinged beam model cable force measurement method based on linear model amendment, it is characterised in that to comprise the following steps：
Step a, in construction process, to drag-line apply m grades of stretching force T1、T2、…、Tm, the rope of drag-line to be measured is demarcated respectively
Power TiWith with Suo Li TiCorresponding n ranks vibration frequency fi1、fi2、…、finData；
Step b, according to equation below, be fitted TiOnThe frontal regression coefficient of anchoring：
Wherein, AkAnd BkRepresent and k rank vibration frequencies fikCorresponding linear regression coeffficient；
Step c, according to equation below, rank linear regression coeffficient A each to drag-linekCalculated, obtained and exponent number k with correspondence exponent number k
The unrelated coefficient of stability
Step d, utilizationAccording to equation below, in the generation such as calculating, is hinged beam model correction length La：
Wherein, m represents drag-line line density (kg/m)；
Step e, subsequently run and the reinforcing stage in bridge, arbitrary number of level Suo Li T' are applied to drag-line, n corresponding with power rope T' is measured
Rank vibration frequency f1', f2' ..., fn'；
Step f, according to equation below, the vibration frequency f obtained using step e1', f2' ..., fn', obtain revised n rope
Power T1, T2..., Tn：
Step g, according to equation below, the step f Suo Li obtained are taken into average calculating, the rope force value of drag-line is obtained：
Obtained T is the rope force value of drag-line.
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Cited By (6)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN107462359A (en) * | 2017-08-07 | 2017-12-12 | 哈尔滨开博科技有限公司 | It is a kind of that generation be hinged beam model cable force measurement method is waited based on parameter transmission |
| CN107588879A (en) * | 2017-09-11 | 2018-01-16 | 哈尔滨工业大学 | The grade of rope support bridge cable group's cable force vibration method measurement is for hinged girder interpolation model method for building up |
| CN107860502A (en) * | 2017-11-02 | 2018-03-30 | 哈尔滨开博科技有限公司 | A kind of vibratory drilling method cable force measurement method for considering damper and influenceing |
| CN108151943A (en) * | 2017-12-22 | 2018-06-12 | 哈尔滨开博科技有限公司 | A kind of frequency method cable force measurement method transmitted based on parameter |
| CN108197378A (en) * | 2017-12-28 | 2018-06-22 | 哈尔滨工业大学 | Based on the drag-line section flexural rigidity identification method than string model |
| 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 |
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Cited By (8)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN107462359A (en) * | 2017-08-07 | 2017-12-12 | 哈尔滨开博科技有限公司 | It is a kind of that generation be hinged beam model cable force measurement method is waited based on parameter transmission |
| CN107588879A (en) * | 2017-09-11 | 2018-01-16 | 哈尔滨工业大学 | The grade of rope support bridge cable group's cable force vibration method measurement is for hinged girder interpolation model method for building up |
| CN107588879B (en) * | 2017-09-11 | 2018-07-24 | 哈尔滨工业大学 | Rope supports the equal for hinged girder interpolation model method for building up of bridge cable group's cable force vibration method measurement |
| CN107860502A (en) * | 2017-11-02 | 2018-03-30 | 哈尔滨开博科技有限公司 | A kind of vibratory drilling method cable force measurement method for considering damper and influenceing |
| CN108151943A (en) * | 2017-12-22 | 2018-06-12 | 哈尔滨开博科技有限公司 | A kind of frequency method cable force measurement method transmitted based on parameter |
| CN108197378A (en) * | 2017-12-28 | 2018-06-22 | 哈尔滨工业大学 | Based on the drag-line section flexural rigidity identification method than string model |
| CN108197378B (en) * | 2017-12-28 | 2019-01-29 | 哈尔滨工业大学 | Based on the drag-line section flexural rigidity identification method than string model |
| 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 |
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