CN106932134B - Based on the Cable force measuring method for waiting generation hinged beam model - Google Patents
Based on the Cable force measuring method for waiting generation hinged beam model Download PDFInfo
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- CN106932134B CN106932134B CN201710237087.8A CN201710237087A CN106932134B CN 106932134 B CN106932134 B CN 106932134B CN 201710237087 A CN201710237087 A CN 201710237087A CN 106932134 B CN106932134 B CN 106932134B
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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)
- Investigating Strength Of Materials By Application Of Mechanical Stress (AREA)
- Bridges Or Land Bridges (AREA)
- Force Measurement Appropriate To Specific Purposes (AREA)
Abstract
The present invention belongs to technical field of civil engineering based on the Cable force measuring method for waiting generation to be hinged beam model, and in particular to a kind of vibratory drilling method Cable force measuring method;This method is first according to conventional method, passes through Suo Li T and n rank vibration frequency f corresponding with Suo Li T1、f2、...、fn, obtain the generation such as k ranks hinged beam length Lak;Then to LakAverage is taken, obtains a nominal length pervasive to each rankThe L in generation hinged beam method formula will be waited againakReplace withMeasuring rope power T' and n rank vibration frequency f corresponding with treating measuring rope power T' is treated in foundation1'、f2'、...、fn' new relation, so as to obtain treating measuring rope power T';This method can not only reduce because Boundary Condition Effect is indefinite and caused by LakThe problem of error is larger, and can solve by the Boundary Condition Effect generation hinged beam length L such as make each first order mode of drag-line correspondingakThe problem of inconsistent, improve the measurement accuracy of Cable power.
Description
Technical field
The present invention is specifically related to based on waiting Cable force measuring method of generation hinged beam model to belong to technical field of civil engineering
A kind of and 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 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 waiting generation 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 equivalent rope length hinged grade for method,
Such as the article that yellow emigrant etc. delivers on Southeast China University's journal (natural science edition)《Consider the suspension cable of vibration absorber spring rate
Equivalent rope length and cable force measurement》
The principle of both approaches is that each rank mode of oscillation of the drag-line of an Arbitrary Boundary Conditions is equivalent to a root long
Spend for LakHinged girder mode of oscillation, 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), fkRepresent the k ranks natural frequency of vibration (Hz), EI represents rope section bending stiffness (Nm2), and π represents circle
Frequency.
Although this method can improve Cable power measurement accuracy, but there is problems:Due to boundary condition
Influence is still not clear, and live drag-line realistic model is complicated more than ideal situation, therefore LakCan only be deposited between approximation, with true value
In error;In addition, by Boundary Condition Effect, each first order mode of drag-line is corresponding to wait generation hinged beam length LakAlso it is inconsistent, using phase
Same LakSuo Li is calculated, equally reduces the measurement accuracy of Suo Li.
The content of the invention
To solve the above-mentioned problems, the invention discloses a kind of based on the drag-line cable force measurement side for waiting generation hinged beam model
Method, this method can not only reduce because Boundary Condition Effect is indefinite and caused by LakThe problem of error is larger, and can solve
Certainly made each first order mode of drag-line is corresponding to wait generation hinged beam length L by Boundary Condition EffectakThe problem of inconsistent, be conducive to improve and draw
The measurement accuracy of cable force.
The object of the present invention is achieved like this:
Based on the Cable force measuring method for waiting generation hinged beam model, comprise the following steps:
Step a, in bridge construction stretching process, Suo Li T is applied to drag-line, demarcate the Suo Li T and and rope of drag-line to be measured
The corresponding n ranks vibration frequency f of power T1、f2、...、fn;
Step b, Suo Li T and n rank vibration frequency f corresponding with Suo Li T are passed through1、f2、...、fn, according to equation below:
Calculate the generation such as k ranks hinged beam length Lak;
Step c, according to equation below:
To LakAverage is taken, obtains a nominal length pervasive to each rank
Step d, in bridge operation stage, collection n rank vibration frequency f corresponding with Cable power T' to be measured1'、f2'、...、
fn';
Step e, the frequency f for obtaining step d1'、f2'、...、fn' it is brought into equation below:
Calculate and n rank vibration frequencies f1'、f2'、...、fn' corresponding rope force value T1、T2、...、Tn;
Step f, according to equation below:
Cable power T' to be measured is calculated.
Beneficial effect:
The present invention is first according to conventional method, passes through Suo Li T and n rank vibration frequency f corresponding with Suo Li T1、f2、...、
fn, obtain the generation such as k ranks hinged beam length Lak;Then to LakAverage is taken, obtains a nominal length pervasive to each rankAgain will
Deng the L in generation hinged beam method formulaakReplace withMeasuring rope power T' and n ranks corresponding with treating measuring rope power T' vibration frequency are treated in foundation
Rate f1'、f2'、...、fn' new relation, so as to obtain treating measuring rope power T';This method can not only be reduced because of boundary condition shadow
Ring it is indefinite and caused by LakThe problem of error is larger, and can solve to correspond to each first order mode of drag-line by Boundary Condition Effect
Wait generation hinged beam length LakThe problem of inconsistent, improve the measurement accuracy of Cable power.
Brief description of the drawings
Fig. 1 is the schematic cross-section of PES7-139 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 Cable force measuring method based on grade generation hinged beam model of the present embodiment, comprises the following steps:
Step a, in bridge construction stretching process, Suo Li T is applied to drag-line, demarcate the Suo Li T and and rope of drag-line to be measured
The corresponding n ranks vibration frequency f of power T1、f2、...、fn;
Step b, Suo Li T and n rank vibration frequency f corresponding with Suo Li T are passed through1、f2、...、fn, according to equation below:
Calculate the generation such as k ranks hinged beam length Lak;
Step c, according to equation below:
To LakAverage is taken, obtains a nominal length pervasive to each rank
Step d, in bridge operation stage, collection n rank vibration frequency f corresponding with Cable power T' to be measured1'、f2'、...、
fn';
Step e, the frequency f for obtaining step d1'、f2'、...、fn' it is brought into equation below:
Calculate and n rank vibration frequencies f1'、f2'、...、fn' corresponding rope force value T1、T2、...、Tn;
Step f, according to equation below:
Cable power T' to be measured is calculated.
Specific implementation profit two
The stream of profit one is embodied based on the Cable force measuring method for waiting generation hinged beam model, foundation in the present embodiment
Journey, carries out actual measurement, the schematic cross-section of the drag-line is as shown in Figure 1 to PES7-139 types drag-line.The technical parameter of the drag-line
It is as follows:Rope long l=68.89m, line density m=44kg/m, sectional area A=5349mm2, limit Suo Li Tlim=8993kN, conversion
Bending stiffness EI=455.37kNm.
This method is as follows:
Step a, in bridge construction stretching process, Suo Li T are applied to drag-line, by inhaul cable vibration as shown in Figure 2 certainly
Power spectrum spectrogram, demarcates the Suo Li T and n rank vibration frequency f corresponding with Suo Li T of drag-line to be measured1、f2、...、fn, such as the institute of table 1
Show:
1 Suo Li of table and vibration frequency tables of data
Step b, Suo Li T and n rank vibration frequency f corresponding with Suo Li T are passed through1、f2、...、fn, according to equation below:
Calculate the generation such as k ranks hinged beam length Lak, result of calculation is as shown in table 2:
2 each rank of table etc. is for hinged girder length data table
Step c, according to equation below:
To LakAverage is taken, obtains a nominal length pervasive to each rankResult of calculation is:
Step d, in bridge operation stage, collection n rank vibration frequency f corresponding with Cable power T' to be measured1'、f2'、...、
fn';Wherein, the theoretical value 1799kN of Cable power T' to be measured, obtained n rank vibration frequencies f1'、f2'、...、fn' such as table 3
It is shown:
The Cable power to be measured of table 3 and vibration frequency tables of data
Step e, the frequency f for obtaining step d1'、f2'、...、fn' it is brought into equation below:
Calculate and n rank vibration frequencies f1'、f2'、...、fn' corresponding rope force value T1、T2、...、Tn, result of calculation such as table 4
It is shown:
Table 4 treats measuring rope force value calculation result data table
Step f, according to equation below:
Cable power T'=1792kN to be measured is calculated.
Finally, the Suo Li result of calculations 1792kN tried to achieve according to the method for the present invention and theoretical value 1799kN is contrasted,
Relative error is very small, should be the result shows that the Suo Li result of calculations and actual value deviation very little that the method for the present invention obtains, can be used 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 be covered by the protection scope of the present invention.
Claims (1)
1. based on the Cable force measuring method for waiting generation hinged beam model, it is characterised in that comprise the following steps:
Step a, in bridge construction stretching process, to drag-line apply Suo Li T, demarcate drag-line to be measured Suo Li T and with Suo Li T couple
The n rank vibration frequencies f answered1、f2、...、fn;
Step b, Suo Li T and n rank vibration frequency f corresponding with Suo Li T are passed through1、f2、...、fn, according to equation below:
Calculate the generation such as k ranks hinged beam length Lak;Wherein, T represents Cable power, and m represents drag-line line density, LakRepresent drag-line k ranks
The corresponding grade of the vibration shape is for hinged girder model length, fkRepresent the k rank natural frequencies of vibration, EI represents rope section bending stiffness, and π represents circumference
Rate;
Step c, according to equation below:
To LakAverage is taken, obtains a nominal length pervasive to each rank;
Step d, in bridge operation stage, collection n rank vibration frequency f corresponding with Cable power T' to be measured1'、f2'、...、fn';
Step e, the frequency f for obtaining step d1'、f2'、...、fn' it is brought into equation below:
Calculate and n rank vibration frequencies f1'、f2'、...、fn' corresponding rope force value T1、T2、...、Tn;
Step f, according to equation below:
Cable power T' to be measured is calculated.
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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 |
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 |
CN107860502B (en) * | 2017-11-02 | 2019-02-12 | 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 influencing |
CN108151943B (en) * | 2017-12-22 | 2020-08-25 | 哈尔滨开博科技有限公司 | Frequency method cable force measuring method based on parameter transmission |
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 |
CN108629116B (en) * | 2018-05-04 | 2022-03-25 | 哈尔滨开博科技有限公司 | Linear model cable force measuring method based on parameter transmission |
CN110646129B (en) * | 2019-09-12 | 2024-04-05 | 上海建工集团股份有限公司 | Resistance type inhaul cable force measuring device and method |
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