CN106932135A - The flexible cable cable tension test method that peak recognizes vibration frequency is searched based on weighting arrowband - Google Patents
The flexible cable cable tension test method that peak recognizes vibration frequency is searched based on weighting arrowband Download PDFInfo
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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
A kind of flexible cable cable tension test method that peak method identification vibration frequency is searched based on weighting arrowband that the present invention is provided, is comprised the following steps：The vibration data of flexible cable is determined, and frequency-domain transform is carried out to the vibration data of flexible cable, obtain the rumble spectrum of flexible cable；Each order frequency f that peak method obtains flexible cable is searched using arrowbandiAnd its amplitude ai, calculate the difference DELTA f of continuous two order frequency of flexible cablei, and calculate the product w of continuous two order frequencies amplitudei, with product wiAs frequency difference Δ fiWeights, according to the difference DELTA f of continuous two order frequency of flexible cableiWith wiProduct calculates the fundamental vibration frequency f of flexible cable1；Flexible cable Suo Li is calculated using formula：T=4mL2f1 2.Peak method is searched using the weighted average of the difference between continuous several order frequencies as fundamental frequency in weighting arrowband of the invention, and using the modern tools such as computer or the artificial Suo Li for calculating quick acquisition flexible cable, simple to operate, computational methods are simple, as a result accurately.
Description
Technical field
It is more particularly to a kind of that peak method identification vibration frequency is searched based on weighting arrowband the invention belongs to Structural Engineering monitoring field
Flexible cable cable tension test method.
Background technology
As increasing rapidly for Bridges in Our Country quantity is increasingly sophisticated harsh with bridge operation environment, the safety of science of bridge building
Problem becomes increasingly conspicuous.According to incompletely statistics, during 1999~2016 years there is bridge collapse accident more than 50 and rise in China altogether, cause
Huge life and property loss and severe social influence.The safety of bridge structure is just being subject to government and society increasingly extensive to close
Note.
Construction monitoring is to ensure that the large scale structures such as bridge in construction or a kind of perfect hand for embodying mentality of designing of operational phase
Section, span, the very big breakthrough of structural shape with large scale structures such as bridges, conventional calculating or measurement means has been difficult standard
Force-bearing situation of the structure under various operating modes really is drawn, it is necessary to introduce monitoring and make auxiliary control device, in the large-scale knot such as bridge
Play a part of to instruct and adjust sequence of construction in the construction of structure.Construction monitoring mainly has two aspects：Construction monitoring and construction
Control, construction monitoring can not only ensure the result of safety but also construction monitoring of the large scale structures such as bridge in work progress
For Construction control provides data, and Construction control is exactly effectively to be controlled in construction overall process, it is ensured that into structural linetype and
Internal force meets design requirement.Construction monitoring mainly includes deflection observation, and temperature effect observation, stress trajectory (is surveyed by foil gauge
Strain), bridge main wants parameter estimator, and prestressing force is observed (for prestressed structure), Suo Li observations (including it is cable-stayed bridge cable, outstanding
Cable bridge, arched bridge pre-stressed boom boom tensile force, Hoisting Steel Pipe Arch Stayed-buckle Cable Forcess value) etc..
Monitoring structural health conditions (structure health monitoring, abbreviation SHM) are the development of civil engineering subject
One key areas.Monitoring structural health conditions are monitored by structure physical and mechanical property, and its local environment, in real time or
Discontinuously the entirety of monitoring structure or local behavior, diagnose, to the military service feelings of structure to the damage displacement of structure and degree
Condition, reliability, durability and bearing capacity carry out intelligent evaluation, be structure under accident or structure behaviour in service is seriously different
Early warning signal is triggered when often, for maintenance, maintenance and the administrative decision of structure provide foundation and guidance.Structural health monitoring technology is
One multi-field integrated technology interdisciplinary, be related to civil engineering, dynamics, materialogy, sensing technology, measuring technology,
The multiple research direction such as signal analysis technology, computer technology, the network communications technology, mode identification technology.
Drag-line, suspension rod etc. are the structural elements for efficiently bearing pulling force, are widely used in cable-stayed bridge, suspension bridge, arch bridge etc.
In large-scale rope load-bearing bridge.Used as main load-carrying member, the military service performance of drag-line is directly connected to the overall security of bridge,
Bridge security is on active service in runing and plays vital role.During bridge use, drag-line is often due to corroding and shaking
The reason such as dynamic suffers damage, and used as the important component of tension structure, drag-line infringement will be to the consequence of bringing on a disaster property of bridge.
Whether Suo Li is to evaluate the good important indicator of cable body structural stress state, particularly with being main with drag-line
The cable-stayed bridge of beaer, suspension bridge and some large-scale cable-membrane analysis., will there is Suo Li change (pines in the drag-line being damaged
Relax), so as to influence structural internal force to be distributed and structure line style, the serious corrosion of drag-line possibly even causes fracture, and then causes knot
Structure caves in.
The content of the invention
Technical problem：In order to solve the defect of prior art, peak method is searched based on weighting arrowband the invention provides one kind and is known
The flexible cable cable tension test method of other vibration frequency.
Technical scheme：A kind of flexible cable Suo Li for searching peak identification vibration frequency based on weighting arrowband that the present invention is provided is surveyed
Method for testing, comprises the following steps：
Step 1, the vibration data of flexible cable, i.e. the time domain vibration data of flexible cable are determined using vibrating sensor；
Step 2, the time domain vibration data to flexible cable carries out frequency-domain transform, obtains the rumble spectrum of flexible cable；
Step 3, according to each rank vibration frequency of known flexible cable, labeled as fi *, wherein i represents the rank of vibration frequency
Number, i values are continuous natural number, i=1,2,3, arrowband division is carried out to frequency spectrum, determine each rank vibration frequency
Arrowband neighborhood (the f of ratei *(1-ε),fi *(1+ ε)), wherein width of 2 ε for arrowband neighborhood；
Step 4, in arrowband neighborhood (fi *(1-ε),fi *(1+ ε)) interior search acquisition peak value ai, peak value aiCorresponding vibration frequency
Rate fiAs the i-th actual rank vibration frequency of flexible cable；
Step 5, calculates the difference DELTA f of the continuous two ranks vibration frequency of flexible cableiAnd its weight wi,
Wherein, Δ fi=fi+1-fi,
wi=ai+1*ai；
Step 6, calculates the fundamental vibration frequency f of flexible cable1,
Wherein,
Step 7, flexible cable Suo Li is calculated using public formula (I)：
T=4mL2f1 2(I)；
Wherein：
T-flexible cable Suo Li；
The quality of m-flexible cable unit length, the i.e. line density of flexible cable；
The nominal length of L-rope component.
The following methods of foundation of public formula (I) are obtained：
The measurement of Suo Li is including vibratory drilling method, oil pressure method, stress method etc., and vibratory drilling method is simple to operate due to its, and cost is relatively low
Developed quickly in engineering monitoring field etc. factor.Vibratory drilling method tests Cable power, first to obtain the vibration number of drag-line
According to, then spectrum analysis is carried out, Suo Li is calculated using fundamental frequency (the first order frequency) in theory, but in Practical Project, differ surely
Enough effectively obtain drag-line fundamental frequency (by various influence of noises).
The present invention recognizes many order frequencies of drag-line using the SHG properties of flexible cable, calculates many of continuous each order frequency
Individual difference carrys out the fundamental frequency of equivalent drag-line, and Cable power is calculated further according to drag-line geometry physical characteristic.
The general principle of vibratory drilling method measuring rope power is the natural frequency of vibration by measuring drag-line, is then carried out according to Chord vibration theory
Calculate analysis and determine Cable power.Vibratory drilling method uses environment random excitation, measures former rank natural frequencies of vibration of drag-line, then foundation
Chord vibration theory analysis is solved, and obtains the internal force of drag-line.
When the boundary condition at rope component two ends can be reduced to hinged, the computing formula of Suo Li is as follows：
T=4m (fi 2/i2)·L2-EIπ2(i2/L2) (1)
Wherein：
Axial force (Suo Li) suffered by T-rope component；
The quality (line density) of m-rope component unit length；
The bending stiffness of EI-rope component；
fiN-th order vibration frequency (the unit of-rope component：Hz)；
I-vibration order；
The nominal length of L-rope component.
When component meets the definition of flexible cable class component, i.e., when slenderness ratio is sufficiently large, the Section 2 of formula (1) can be ignored not
Meter, then formula (1) can be simplified to：
T=4m (fi 2/i2)·L2 (2)
If it is known that the nominal length L of rope class component, unit mass m along its length, then measure its former ranks and shake
Dynamic frequency, then can just calculate Suo Li according to formula (2)；In actual utilization, often it is not easy to determine the rank of certain order frequency
Number, therefore calculating Suo Li is typically carried out according to drag-line fundamental frequency or frequency difference, then formula (2) is represented by：
T=4mL2f1 2 (3)
It refers to the multiple frequency peaks of identification in the neighborhood of each order frequency for identifying that peak method is searched in weighting arrowband of the invention
Value, according to one frequency difference of difference and weight computing between continuous several order frequencies, according to SHG properties, base is replaced with this frequency difference
Frequently, Cable power is being calculated using formula (3).
Wherein, in step 2, frequency-domain transform method is Fourier transformation.
Wherein, in step 3, the position of arrowband needs to be determined according to each rank vibration frequency of known flexible cable, it is known that
Each rank vibration frequency of flexible cable can be the calculated results (for example, using FEM model method calculate obtain),
Or the historical vibration frequency data of the flexible cable；And the loss that the simplification, flexible rope due to FEM model are used
Etc. reason, it is known that each rank vibration frequency of flexible cable may be with current actual vibration frequency difference.
In step 3, the width ε values of arrowband can determine, it is also possible to according to warp between 3-5% according to actual conditions
Test determination.
Beneficial effect：Peak method is searched with the weighted average of the difference between continuous several order frequencies in weighting arrowband of the invention
It is simple to operate using the modern tools such as computer or the artificial Suo Li for calculating quick acquisition flexible cable as fundamental frequency, calculate
Method is simple, as a result accurately.
Specifically, the present invention has advantage following prominent relative to prior art：
(1) computational methods are simple, easy to operate, readily appreciate, as a result accurately；
(2) this method is easy to computer program to realize, is easy to the fast automatic batch processing of computer；
(3) this method can search for the multistage vibration frequency of flexible cable, can obtain currently practical according to priori
Vibration frequency；
(4) this method can effectively describe Suo Li situations of change.
Brief description of the drawings
Fig. 1 is the acceleration-time curve in certain bridge root drag-line 15 minutes；
Fig. 2 is the rumble spectrum figure of flexible rope；
Fig. 3 is the Suo Li situation of change figures that this method and rope meter recognize some day simultaneously；
Fig. 4 is the error condition figure of this method and rope meter：It is defined by rope meter, describes the error characteristics of this method, bag
Include absolute error and relative error.
Specific embodiment
The method that peak measurement flexible cable Suo Li is searched in present invention weighting arrowband is made below being further illustrated.
Embodiment 1
Peak measurement flexible cable Suo Li is searched in weighting arrowband, and step is as follows：
Step 1, the vibration data of flexible cable, i.e. the time domain vibration data of flexible cable are determined using vibrating sensor,
As shown in figure 1, being the acceleration-time curve in certain bridge root drag-line 15 minutes；
Step 2, the time domain vibration data to the flexible cable of step 1 carries out frequency-domain transform, obtains the vibration of flexible cable
Frequency spectrum, as shown in Figure 2；Wherein, transform method utilizes discrete Fourier transform, and transformation for mula is as follows：
Wherein, x (n) is discrete Acceleration time course data row, and n is the sequence number of acceleration information point, and N is Acceleration time course
The data volume of data row, i.e. the number of sampled point, in this example, sample frequency is 20Hz, a length of 15 minutes during sampling, then sampled point
Number is N=15*60*20=18000, and j is imaginary number, and X (k) is the frequency domain data row after conversion, and k is the sequence number of frequency domain data point；
Step 3, according to each rank vibration frequency of known flexible cable, labeled as fi *, wherein i=1,2,3 ..., its
In, i represents the exponent number of frequency, and arrowband division is carried out to frequency spectrum, determines the arrowband neighborhood (f of each order frequencyi *(1-ε),fi *(1+
ε)), wherein 2 ε are the width of arrowband neighborhood, ε can be empirically determined, and 5% is taken in this example；
In this example, it is known that flexible cable each rank vibration frequency according to historical vibration data analysis obtain, fi *It is shown in Table 1 institute
Show；
Step 4, using computer software in arrowband neighborhood (fi *(1-ε),fi *(1+ ε)) interior search acquisition peak value ai, peak value
Corresponding frequency fiAs the i-th actual rank vibration frequency of flexible cable；In this example, peak value aiAnd fiIt is shown in Table 1；
Step 5, calculates the difference DELTA f of continuous two order frequency of flexible cablei, and its weight wi,
Wherein, Δ fi=fi+1-fi,
wi=ai+1*ai；
In this example, according to the weight w that historical data analysis are obtainediWith frequency difference Δ fiIt is shown in Table 1.
Table 1
| Exponent number | fi *(Hz) | fi(Hz) | Δfi(Hz) | ai | wi |
| 1 | 0.3501 | 0.3500 | 0.3511 | 3.0102 | 26.4458 |
| 2 | 0.7003 | 0.7011 | 0.3500 | 8.7854 | 63.6168 |
| 3 | 1.0501 | 1.0511 | 0.3477 | 7.2412 | 35.4464 |
| 4 | 1.3921 | 1.3988 | 0.3468 | 4.8951 | 29.1665 |
| 5 | 1.7491 | 1.7456 | 0.3477 | 5.9583 | 31.8894 |
| 6 | 2.0916 | 2.0933 | 0.3589 | 5.3521 | 50.1235 |
| 7 | 2.4562 | 2.4522 | 0.3411 | 9.3652 | 76.9286 |
| 8 | 2.7953 | 2.7933 | 0.3545 | 8.2143 | 105.5883 |
| 9 | 3.1453 | 3.1478 | 0.3511 | 12.8542 | 117.3126 |
| 10 | 3.4981 | 3.4989 | 0.3525 | 9.1264 | 76.3460 |
| 11 | 3.8565 | 3.8514 | 0.3489 | 8.3654 | 70.4308 |
| 12 | 4.2016 | 4.2003 | 0.3486 | 8.4193 | 69.1671 |
| 13 | 4.5429 | 4.5489 | 0.3544 | 8.2153 | 64.5484 |
| 14 | 4.9032 | 4.9033 | 0.3511 | 7.8571 | 53.1541 |
| 15 | 5.2598 | 5.2544 | 0.3478 | 6.7651 | 45.3153 |
| 16 | 5.6109 | 5.6022 | 0.3500 | 6.6984 | 51.5388 |
| 17 | 5.9511 | 5.9522 | 0.3389 | 7.6942 | 46.0667 |
| 18 | 6.2899 | 6.2911 | —— | 5.9872 | —— |
| …… | …… | …… | …… | …… | …… |
Step 6, calculates the fundamental vibration frequency f of flexible cable1,
Wherein,
Step 7, flexible cable Suo Li is calculated using public formula (I)：
T=4mL2f1 2=4606.1043kN (I)；Wherein：
M=72.125kg/m；
L=361.123m.
The accuracy and reliability of the inventive method have passed through real bridge verification experimental verification：
The present invention measures the vibration time-domain curve (see Fig. 1) of certain bridge root rope first, is obtained further according to vibration time-domain curve
The rumble spectrum (see Fig. 2) of the rope was obtained, and each rank vibration frequency and its amplitude were recognized using the inventive method, and calculated and add
Weight average frequency difference instead of fundamental frequency.
Suo Li situation of change of certain bridge root rope within one day is measured (see figure simultaneously using rope meter and the inventive method
3), from figure 3, it can be seen that the Suo Li variation tendencies that measure of two methods are consistent；Fig. 4 gives both approaches measurement Suo Li
Error condition, by rope meter measurement Suo Li on the basis of, the inventive method measurement Suo Li absolute errors within 20kN, phase
To error within 0.4%.
Claims (3)
1. the flexible cable cable tension test method that peak recognizes vibration frequency is searched based on weighting arrowband, it is characterised in that：Including following
Step：
Step 1, determines the vibration data of flexible cable, i.e. the time domain vibration data of flexible cable；
Step 2, the time domain vibration data to flexible cable carries out frequency-domain transform, obtains the rumble spectrum of flexible cable；
Step 3, according to each rank vibration frequency of known flexible cable, labeled as fi *, wherein i represents the exponent number of vibration frequency, i
Value is continuous natural number, and arrowband division is carried out to frequency spectrum, determines the arrowband neighborhood (f of each rank vibration frequencyi *(1-ε),fi *
(1+ ε)), wherein width of 2 ε for arrowband neighborhood；
Step 4, in arrowband neighborhood (fi *(1-ε),fi *(1+ ε)) interior search acquisition peak value ai, peak value aiCorresponding vibration frequency fiI.e.
It is the i-th actual rank vibration frequency of flexible cable；
Step 5, calculates the difference DELTA f of the continuous two ranks vibration frequency of flexible cableiAnd its weight wi,
Wherein, Δ fi=fi+1-fi,
wi=ai+1*ai；
Step 6, calculates the fundamental vibration frequency f of flexible cable1,
Wherein,
Step 7, flexible cable Suo Li is calculated using public formula (I)：
T=4mL2f1 2(I)；
Wherein：
T-flexible cable Suo Li；
The quality of m-flexible cable unit length, the i.e. line density of flexible cable；
The nominal length of L-rope component.
It is 2. according to claim 1 that the flexible cable cable tension test method that peak recognizes vibration frequency is searched based on weighting arrowband,
It is characterized in that：In step 2, frequency-domain transform method is Fourier transformation.
It is 3. according to claim 1 that the flexible cable cable tension test method that peak recognizes vibration frequency is searched based on weighting arrowband,
It is characterized in that：In step 3, ε values are between 3-5%.
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| CN109060219A (en) * | 2018-06-05 | 2018-12-21 | 华南理工大学 | Cable tension test method based on unknown damper support stiffness under complicated boundary condition |
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| CN111860397A (en) * | 2020-07-28 | 2020-10-30 | 浙江博远电子科技有限公司 | Cable force calculation method and calculation device for inhaul cable |
| CN111860397B (en) * | 2020-07-28 | 2024-04-16 | 浙江博远电子科技有限公司 | Cable force calculation method and calculation device for inhaul cable |
| WO2022179247A1 (en) * | 2021-02-23 | 2022-09-01 | 中冶建筑研究总院有限公司 | Damage determination method based on full cable system cable force measurement and error adaptive analysis |
| US11703405B2 (en) | 2021-02-23 | 2023-07-18 | Central Research Institute Of Building And Construction Co., Ltd. Mcc | Damage identification method based on cable force tests of cable system and test error self-adaptive analysis |
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