Generation is waited to be hinged beam model cable force measurement method based on linear model amendment
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.