Based on the modified grade generation hinged beam model cable force measurement method of linear model
Technical field
The present invention is based on modified wait of linear model to belong to civil engineering technology neck for hinged beam model cable force measurement method
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 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 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), fkRepresent the k ranks natural frequency of vibration (Hz), EI represents rope section bending stiffness (Nm2), and π represents circle
Frequency.
Wherein, T represents Cable power (N), AnAnd BnIt is linear regression coeffficient, fikRepresent the k ranks natural frequency of vibration (Hz).
Although these two kinds of methods can improve Cable power measurement accuracy, however, in practical engineering application, run into
Problems with:
Firstth, etc. generation 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, since the linear model of each rank is different
Want to obtain higher measurement accuracy, it is necessary to establish the corresponding linear model of every rank.And in in-site measurement, since field condition is answered
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 application of border.
The content of the invention
To solve the above-mentioned problems, generation hinged beam model Suo Li is waited based on linear model is modified the invention discloses one kind
Measuring method, this method the generation hinged beam method such as can not only solve and be asked for the cable force measurement precision of tackline is low, error is big
Topic, and the limitation that the vibratory drilling method Cable force measuring method based on linear model can not be measured due to some frequencies can be solved
Sex chromosome mosaicism.
The object of the present invention is achieved like this:
Based on the modified grade generation hinged beam model cable force measurement method of linear model, comprise the following steps:
Step a, in construction process, m grades of Suo Li T are applied to drag-line1、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, it is fitted TiOnThe frontal regression coefficient of anchoring:
Wherein, AkAnd BkIt represents and k rank vibration frequencies fikCorresponding linear regression coeffficient;
Step c, according to equation below, rank linear regression coeffficient A each to drag-linekCalculated with corresponding exponent number k, obtain with
The coefficient of stability unrelated exponent number k
Step d, utilizeAccording to equation below, in the generation such as calculating, hinged beam model corrected length La:
Wherein, m represents drag-line line density (kg/m);
Step e, subsequently run and reinforce the 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
A Suo Li T1, T2..., Tn:
Step g, according to equation below, the step f Suo Li obtained is taken into average calculating, obtain the rope force value of drag-line:
Obtained T is the rope force value of drag-line.
Advantageous effect:
The present invention passes through to each rank linear regression coeffficient A of drag-linekIt is calculated, obtains the coefficient of stability A suitable for each rank,
A is recycled, wait unrelated with exponent number k is calculated and corrects length L for hinged beam modela, not only L is solved by establishingaModel, draw
Average thought is entered, has improved measurement accuracy, it is low, by mistake for the cable force measurement precision of tackline the generation hinged beam method such as to solve
The problem of difference is big, 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 gather due to some exponent number frequencies and cause this method that can not apply.
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.
Specific embodiment
The specific embodiment of the invention is described in further detail below in conjunction with the accompanying drawings.
Specific implementation profit one
The present embodiment is hinged beam model cable force measurement method based on linear model modified grade generation, comprises the following steps:
Step a, in construction process, m grades of Suo Li T are applied to drag-line1、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, it is fitted TiOnThe frontal regression coefficient of anchoring:
Wherein, AkAnd BkIt represents and k rank vibration frequencies fikCorresponding linear regression coeffficient;
Step c, according to equation below, rank linear regression coeffficient A each to drag-linekCalculated with corresponding exponent number k, obtain with
The coefficient of stability unrelated exponent number k
Step d, utilizeAccording to equation below, in the generation such as calculating, hinged beam model corrected length La:
Wherein, m represents drag-line line density (kg/m);
Step e, subsequently run and reinforce the 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
A Suo Li T1, T2..., Tn:
Step g, according to equation below, the step f Suo Li obtained is taken into average calculating, obtain the rope force value of drag-line:
Obtained T is the rope force value of drag-line.
Specific implementation profit two
The present embodiment waits generation hinged beam model cable force measurement method based on linear model is modified, according to specific implementation profit
One flow carries out actual measurement 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 stiffness EI=280.08kNm.
This method is as follows:
Step a, in construction process, 2 grades of Suo Li T are applied to drag-line1And 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:
1 Suo Li of table 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:
2 Suo Li of table and vibration frequency square tables of data
Step b, according to equation below, it is fitted TiOnThe frontal regression coefficient of anchoring:
Wherein, AkAnd BkIt represents and k rank vibration frequencies fikCorresponding linear regression coeffficient;
For only there are two calibration Suo Lishi, i.e., only T1And T2When, above-mentioned formula can be simplified, be:
Obtained AkResult of calculation is as shown in table 3:
3 linear model coefficients of table
Step c, according to equation below, rank linear regression coeffficient A each to drag-linekCalculated with corresponding exponent number k, obtain with
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 obtainResult of calculation be 74.51;
Step d, utilizeAccording to equation below, in the generation such as calculating, hinged beam model corrected 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 reinforce the 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 calibration 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
A Suo Li T1, T2..., Tn:
The rope calibration of table 4 T33 order frequency Suo Li calculated values of lower selection and average
For the present embodiment, the three rope force value acquired are respectively 1087kN, 1099kN and 1126kN.
Step g, according to equation below, the step f Suo Li obtained is taken into average calculating, obtain the rope force value of drag-line:
In the present embodiment, T 1104kN.
Finally, the Suo Li result of calculations 1104kN acquired according to the method for the present invention and theoretical value 1101kN is compared,
Relative error is only 0.26%, the Suo Li result of calculations and actual value deviation very little which obtains, 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 in the technical scope disclosed by the present invention, 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.