CN108197378B - Based on the drag-line section flexural rigidity identification method than string model - Google Patents
Based on the drag-line section flexural rigidity identification method than string model Download PDFInfo
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Abstract
The invention discloses based on the drag-line section flexural rigidity identification method than string model, belong to technical field of civil engineering.Method characteristic is: the bending stiffness of drag-line is identified according to the ratio feature of frequency distribution after drag-line tension.Specific steps are as follows: (1) in cable tension calibration, give the lower measurement drag-line eigentone of cable tension effect.(2) by determining each rank dimensionless constraint equation relationship of drag-line than string model, practical frequency and relevant frequency rank is selected, solves relative rigidity after substituting into constraint equation.Based on this relative rigidity and given pulling force and drag-line length of unstressed cable inverse bending stiffness.(4) cable tension is changed, (1)-(3) are executed repeatedly step 3-5 times, the bending stiffness identification value that each calibration test obtains averagely be can be used as into bending stiffness estimated value and be used for bridge construction stage or operation stage cable force measurement.
Description
Technical field
The present invention relates to a kind of drag-line parameter (section bending stiffness) recognition methods, belong to technical field of civil engineering.
Background technique
Vibratory drilling method (also known as frequency method) because concept it is apparent, it is easy to operate be to be surveyed in current engineering using the most universal Suo Li
Amount method.Mainly there are model error and parameter error in the error source of this method, and wherein parameter error is less is taken seriously.Herein this
Place opinion is to influence important parameter --- the section bending stiffness of vibratory drilling method cable force measurement.Bending stiffness is that drag-line is caused to be different from
It is tensioned the principal element of string model, but also " frequency multiplication relationship " is no longer obeyed in frequency distribution.So-called frequency multiplication relationship, means and is being tensioned
In string model, the ratio between each order frequency is equal with the ratio between order, it may be assumed that
In formula: fiAnd fjRespectively drag-line tension when the i-th rank and jth rank vibration frequency.
However the presence of drag-line middle section bending stiffness in practical projects causes above-mentioned relation not exist.In Suo Li
In measurement, the error of bending stiffness parameter also can make Suo Li estimated value generate very important error.Section bending stiffness parameter
It is so important, but cannot directly it be calculated by the bullet mould of diameter and steel strand wires.The reason is as follows that: it is as shown in Figure 1 typical drag-line
Section real shooting photo shows that drag-line section is made of steel strand wires, filling anti-corrosion material, HDPE casing in figure.In certain complicated drawings
In rope section, there are also the materials such as ectonexine HDPE sheath, high-strength polyester band.This illustrates that drag-line section is that composite material is constituted.
Meanwhile the guiding principle twisted wire in section seen in figure may be discrete arrangement.Obviously, drag-line section bending stiffness be cannot by cut
Face diameter converses module of anti-bending section.
Summary of the invention
Based on above-mentioned analysis, it is the precision for promoting vibratory drilling method cable force measurement, accurately identifies that the bending resistance of drag-line section is rigid
Degree is very important.
Hiroshi Zui etc. proposed the practical estimation formulas of affixed boundary vibratory drilling method Suo Li estimation in 1996
(Practical Formulas for Estimation of Cable Tension by Vibration Method,
Journal of Structural Engineering, Vol.122, No.6,1996), a kind of analogy tensioning is provided in the document
The dimensionless constraint equation of string model.It is that bending resistance proposed in this paper is rigid although this equation is used for cable force measurement when proposing
Degree identification provides a convenient and fast theoretical basis.Since analogy is tensioned string model, referred to herein as such method is " than string model ".
In than string model, there is dimensionless constraint equation are as follows:
In formula:WithT is cable tension (N)；EI is drag-line bending stiffness (Nm2)；L is
Nonstressed length of cable (m)；fnFor n-th order eigentone (Hz)；For homogeneity with long drag-line under common pulling force effect
It is tensioned the n-th order eigentone (Hz) of string model.
Why formula (2) is referred to as dimensionless constraint equation, is the η because in formulanIt needs to meet the party under affixed boundary with ξ
Journey, it embodies the constraint relationship between the two.
The η that the present invention is embodied by formula (2)nIt is anti-to give tensioning calibration condition downhaul section for relationship between ξ
The recognition methods of curved rigidity.
Usually before drag-line factory, require to carry out examination pulling test, to ensure work of the drag-line under predetermined load action
Make safety.Just have the condition of tensioning calibration test at this time, i.e., measures the intrinsic vibration of drag-line under the conditions of given stretching force
Dynamic frequency.It is assumed that measuring vibration frequency is respectively f under the conditions of certain grade of tensile load Ti、fj、fk、flDeng, and identify corresponding
Frequency rank be respectively i, j, k, l.
Document measured frequency vector f={ fi fj···fk fl, and remember that minimum and maximum frequency values are respectively fnb=
Min.f, fnt=max.f, and remember that corresponding frequency rank is nb and nt.
The dimensionless constraint equation of the n-th b and the n-th t rank can be obtained by formula (2) are as follows:
The coefficient value of dimensionless constraint equation is seen patent and " is surveyed based on the affixed boundary Cable power in both ends than string model
Amount method " (201711428338.7):
Table 1: utility model coefficient (20≤ξ≤50)
Note: n is frequency rank, corresponds to nb and nt in the methods of the invention.
Problem is identified different from the Suo Li in patent 201711428338.7, and Suo Li is controllable in tensioning calibration, therefore optional
The stretching force by ξ control between [20,50] is selected, this table coefficient is made to be suitable for the method for the present invention.It is directed to tentatively estimating to EI
For value to estimate ξ, need to only press drag-line total cross-section at this time is that homogeneous steel section calculates EI.
Formula (3) and (4) are made to compare:
Equation (5) are solved to obtain:
In formula: Ktb=(ηntanb)/(ηnbant).Only there is relationship with practical frequency and frequency rank on the right side of formula (6), therefore can be by surveying
Information deduces actual measurement relative rigidity ξtb.In Zui model, which is only used as the interval judgement foundation of predictor formula, and in this hair
In bright method, which but becomes measured value, and basic reason is, in tensioning calibration experiments, pulling force T is controllably known.
After known to relative rigidity, it can be defined by ξ and push away to obtain drag-line section bending stiffness value EI:
In the methods of the invention, the coefficient of dimensionless constraint equation is suitable for the affixed boundary in both ends, therefore in tensioning calibration
The boundary that strict control drag-line both ends are needed in tooling is affixed working condition.
Detailed description of the invention
Fig. 1 is drag-line typical section (real shooting photo)；
Fig. 2 is drag-line section bending stiffness identification process.
Specific embodiment
Embodiment of the present invention process is as shown in the figure, comprising:
Step 1: it determines in tensioning calibration experiments in given pulling force tensioning drag-line；
Step 2: actual measureed value of acceleration signal post-processing obtains to obtain several frequencies, and identifies corresponding affiliated frequency rank；
Step 3: the frequency of minimum frequency rank and maximum frequency rank is selected；
Step 4: relative rigidity is calculated based on practical frequency；
Step 5: relative rigidity is substituted into and deduces drag-line section bending stiffness value with bending stiffness relational expression；
Step 6: variation calibration tension repeats step 1 to step 5 3-5 times, the section bending stiffness that will be deduced every time
Value takes average as final recognition result.
Method application example
Certain cable-stayed bridge long l=19.905m of root Cable, drag-line line density m=51.914kg/m, practical bending stiffness EI
=702960.59Nm2, now section bending stiffness value is speculated according to the method for the present invention.
Step 1: drag-line is installed in calibration test tooling, it is ensured that drag-line both ends are affixed.Given loading tensile T=
3152kN；
Step 2: it surveys each order frequency and is respectively as follows: f1=6.51Hz, f2=13.14Hz, f5=34.66Hz, f7=
51.24Hz f10=80.72Hz.
Step 3: maximum order frequency f is selected10=80.72Hz and minimum order frequency f1=6.51Hz, and nt=10, nb=
1。
Step 4: actual measurement relative rigidity is calculated:
In formula: antAnd anbCoefficient is derived from table 2:
In formula: bntAnd bnbCoefficient is derived from table 2:
Table 2: utility model coefficient (20≤ξ≤50)
Step 5: actual measurement ξ is substituted into (7) and deduces drag-line section bending stiffness value:
The section bending stiffness relative error identified in formula is+1.60%.
Step 6: repeat a calibration by above-mentioned steps and identify, omit herein.
Method implementation result
It can illustrate drag-line section flexural rigidity identification method simple and effective of the invention, accuracy of identification by above example
It is high.After tensioning calibration test identification drag-line section bending stiffness in factory, it will effectively promote live inhaul cable vibration Fa Suoli and survey
The precision and reliability of amount.
Claims (3)
1. based on the drag-line section flexural rigidity identification method than string model, which is characterized in that its measurement method is as follows:
Step 1: it determines in tensioning calibration experiments in given pulling force tensioning drag-line；
Step 2: actual measureed value of acceleration signal post-processing obtains to obtain several frequencies, and identifies corresponding affiliated frequency rank；
Step 3: the frequency of minimum frequency rank and maximum frequency rank is selected；
Step 4: relative rigidity is calculated based on practical frequency；Relative rigidity calculation formula are as follows:
In formula: Ktb=(ηntanb)/(ηnbant), whereinIt is n-th order than string relative frequency coefficient, fnFor drag-line
N rank vibration frequency, fs nFor n-th order string model vibration frequency, anb、ant、bnbAnd bntFor utility model coefficient, nb and nt are respectively
Minimum and most high frequency rank, relative rigidityξtbIt is relatively rigid to be calculated based on the n-th b rank and the n-th t order frequency
Degree, T are cable tension, and unit is N, and EI is drag-line section bending stiffness, and unit is Nm2；L is drag-line unstressed cable length
Degree, unit is m；
Step 5: relative rigidity is substituted into and deduces drag-line section bending stiffness value with bending stiffness relational expression；
Step 6: variation calibration tension repeats step 1 to step 5 3-5 times, and the section bending stiffness value deduced every time is taken
Averagely as final recognition result.
2. according to claim 1 based on the drag-line section flexural rigidity identification method than string model, which is characterized in that described
Coefficient a in formulanb、ant、bnbAnd bntIt see the table below:
Table 1: as 20≤ξ≤50, utility model coefficient
Wherein, n is frequency rank, corresponds to nb and nt.
3. according to claim 1 based on the drag-line section flexural rigidity identification method than string model, which is characterized in that step
Five calculation formula are as follows:
In formula: Suo Li when T is calibration tensioning, unit is N；L is stress-less length, and unit is m, ξtbFor based on the n-th b rank and
The relative rigidity that n-th t order frequency calculates；EI is identified drag-line section bending stiffness.
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Citations (4)
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| CN106096178A (en) * | 2016-06-24 | 2016-11-09 | 哈尔滨大金工程试验检测有限公司 | A kind of bridge cable flexural rigidity identification method |
| CN106932134A (en) * | 2017-04-12 | 2017-07-07 | 哈尔滨开博科技有限公司 | Based on the Cable force measuring method for waiting generation to be hinged beam model |
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| CN107271093A (en) * | 2017-06-12 | 2017-10-20 | 哈尔滨开博科技有限公司 | The full-bridge Cable force measuring method demarcated based on load |
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Patent Citations (4)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN106096178A (en) * | 2016-06-24 | 2016-11-09 | 哈尔滨大金工程试验检测有限公司 | A kind of bridge cable flexural rigidity identification method |
| CN106932134A (en) * | 2017-04-12 | 2017-07-07 | 哈尔滨开博科技有限公司 | Based on the Cable force measuring method for waiting generation to be hinged beam model |
| CN107014541A (en) * | 2017-04-18 | 2017-08-04 | 哈尔滨开博科技有限公司 | Generation is waited to be hinged beam model cable force measurement method based on linear model amendment |
| CN107271093A (en) * | 2017-06-12 | 2017-10-20 | 哈尔滨开博科技有限公司 | The full-bridge Cable force measuring method demarcated based on load |
Non-Patent Citations (3)
| Title |
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| PRACTICAL FORMULAS FOR ESTIMATION OF CABLE TENSION BY VIBRATION METHOD;Hiroshi Zui;《JOURNAL OF STRUCTURAL ENGINEERING》;19960630;第651-656页 |
| 张弦梁结构振动方法索力识别(Ⅱ)：实用公式及误差分析;张宇鑫 等;《振动与冲击》;20090512;第28卷(第3期);第158-160、181页 |
| 张弦梁结构振动方法索力识别(I)：振动特性的参数分析;张宇鑫 等;《振动与冲击》;20090512;第28卷(第3期);第152-157页 |
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