CN108106802A - A kind of recognition methods of reinforcement experiment beam bridge structure parameter - Google Patents
A kind of recognition methods of reinforcement experiment beam bridge structure parameter Download PDFInfo
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- CN108106802A CN108106802A CN201711381720.7A CN201711381720A CN108106802A CN 108106802 A CN108106802 A CN 108106802A CN 201711381720 A CN201711381720 A CN 201711381720A CN 108106802 A CN108106802 A CN 108106802A
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01M—TESTING STATIC OR DYNAMIC BALANCE OF MACHINES OR STRUCTURES; TESTING OF STRUCTURES OR APPARATUS, NOT OTHERWISE PROVIDED FOR
- G01M5/00—Investigating the elasticity of structures, e.g. deflection of bridges or air-craft wings
- G01M5/0008—Investigating the elasticity of structures, e.g. deflection of bridges or air-craft wings of bridges
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01M—TESTING STATIC OR DYNAMIC BALANCE OF MACHINES OR STRUCTURES; TESTING OF STRUCTURES OR APPARATUS, NOT OTHERWISE PROVIDED FOR
- G01M5/00—Investigating the elasticity of structures, e.g. deflection of bridges or air-craft wings
- G01M5/0041—Investigating the elasticity of structures, e.g. deflection of bridges or air-craft wings by determining deflection or stress
- G01M5/005—Investigating the elasticity of structures, e.g. deflection of bridges or air-craft wings by determining deflection or stress by means of external apparatus, e.g. test benches or portable test systems
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Abstract
The invention discloses a kind of recognition methods of reinforcement experiment beam bridge structure parameter, including：Experiment beam bridge before reinforcing and after reinforcing is loaded, obtains initial deflection value and actual measurement deflection value；With initial stiffness value EI0For initial value, practical stiffness is carried out using least square method to approach valuation, obtains the approximation timates value EI of practical stiffness1；With the approximation timates value EI of practical stiffness1For initial value, practical stiffness is carried out again using least square method to approach valuation, obtains the approximation timates value EI of practical stiffness2；Piecewise approximation is carried out to practical stiffness, successive ignition is until practical stiffness value restrains, so as to confirm practical stiffness value EIAfterwards.Technical solution provided by the invention is easy to operate, quick, utilize the non-linear relation between rigidity and amount of deflection, it is calculated by successive ignition, bridge structure nonlinearity in parameters estimation problem is efficiently solved, is of great significance to the adjustment for holding the time of day after bridge structure is reinforced and the structural parameters among structure installation calculating.
Description
Technical field
The present invention relates to Technology Bridge Strengthening field more particularly to a kind of identification sides of reinforcement experiment beam bridge structure parameter
Method.
Background technology
Among actual bridge strengthening construction process, pass through affixing carbon fabric, steel plate, the measures such as tensioning external prestressing
Improve the integrated carrying ability of bridge, the bridge structure parameter after reinforcing changes, and structural parameters in structure
It, also can there are certain differences between the actual value of major parameter and design ideal value for non-linear relation between power and displacement.
By a series of load test data of stress among bridge strengthening process, the detected value of deformation and special arrangements to reinforcing after
Bridge actual parameter be identified, hold the adjustment of bridge structure time of day and structural parameters, it has also become bridge strengthening skill
Art field urgent problem to be solved.
The content of the invention
To solve the above problems, the present invention provides a kind of recognition methods of reinforcement experiment beam bridge structure parameter, at least partly
Solve above-mentioned technical problem.
For this purpose, the present invention provides a kind of recognition methods of reinforcement experiment beam bridge structure parameter, including：
Step S1, the experiment beam bridge before reinforcing is loaded, obtain initial deflection value；
Row loads when step S2, to the experiment beam bridge after reinforcing, obtains actual measurement deflection value；
Step S3, with the initial stiffness value EI of the experiment beam bridge before reinforcing0For initial value, added using least square method pair
Gu the practical stiffness of experiment beam bridge after carries out approaching valuation, and the practical stiffness of the experiment beam bridge after being reinforced approaches
Estimate EI1；
Step S4, with the approximation timates value EI of the practical stiffness of the experiment beam bridge after reinforcing1For initial value, minimum is used
Square law carries out approaching valuation again to the practical stiffness of the experiment beam bridge after reinforcing, the experiment beam bridge after being reinforced
The approximation timates value EI of practical stiffness2；
Step S5, step S4 is repeated, piecewise approximation, successive ignition are carried out to the practical stiffness of the experiment beam bridge after reinforcing
Until the practical stiffness value convergence of the experiment beam bridge after reinforcing；
Step S6, the practical stiffness value EI for testing beam bridge after the reinforcing for meeting default precision is obtainedAfterwards。
Optionally, the initial deflection value D1=Pl3/48EI0=0.0208Pl3, the actual measurement deflection value T=Pl3/
100=0.01Pl3, P be experiment beam bridge payload values, l be experiment beam bridge across footpath, the initial stiffness value EI0=1；
The step S3 includes：
Obtain amount of deflection error amount Y1=T-D1；
Setting the rigidity value of experiment beam bridge increases by 0.01, obtains amount of deflection variable quantity and is
Obtaining parameter error estimate is
The approximation timates value of the practical stiffness of experiment beam bridge after being reinforced is
EI1=EI0+ 0.01 × θ=1.54.
Optionally, the initial deflection value D2=Pl3/48EI1=0.0135Pl3, the step S4 includes：
Obtain amount of deflection error amount Y2=T-D2；
Setting the rigidity value of experiment beam bridge increases by 0.01, obtains amount of deflection variable quantity and is
Obtaining parameter error estimate is
The approximation timates value of the practical stiffness of experiment beam bridge after being reinforced is
EI2=EI1+ 0.01 × θ=1.89.
Optionally, among the step 1 and step 2, the beam bridge of testing is simply-supported state, the experiment before reinforcing
Beam bridge is identical with the payload values for testing beam bridge after reinforcing.
Optionally, among the step 1 and step 2, the actual measurement deflection value is less than the initial deflection value, described
Initial deflection value is Pl3/ 48, P are the payload values of experiment beam bridge, and l is the across footpath of experiment beam bridge.
The present invention has following advantageous effects：
The recognition methods of reinforcement experiment beam bridge structure parameter provided by the invention, including：To before reinforcing and after reinforcing
Experiment beam bridge loaded, obtain initial deflection value and actual measurement deflection value；With the initial stiffness of the experiment beam bridge before reinforcing
Value EI0For initial value, the practical stiffness of the experiment beam bridge after reinforcing is carried out approaching valuation using least square method, is added
The approximation timates value EI of the practical stiffness of experiment beam bridge after Gu1；With forcing for the practical stiffness of the experiment beam bridge after reinforcing
Nearly estimate EI1For initial value, the practical stiffness of the experiment beam bridge after reinforcing is approached again using least square method
Valuation, the approximation timates value EI of the practical stiffness of the experiment beam bridge after being reinforced2；To the reality of the experiment beam bridge after reinforcing
Border rigidity carries out piecewise approximation, and successive ignition is until the practical stiffness value convergence of the experiment beam bridge after reinforcing；It obtains and meets in advance
If after the practical stiffness value EI of the experiment beam bridge after the reinforcing of precision.Technical solution provided by the invention is easy to operate, quick,
It using the non-linear relation between rigidity and amount of deflection, is calculated by successive ignition, efficiently solves the non-thread of bridge structure parameter
Property estimation problem, to hold bridge structure reinforce after time of day and structure installation calculate among structural parameters adjustment
It is of great significance.
Description of the drawings
Fig. 1 is the structure diagram of the deflection testing system of reinforcement experiment beam bridge；
Fig. 2 is the schematic diagram of rigidity and sag curve after experiment bridge reinforcement；
Wherein, reference numeral is：1st, beam bridge is tested；2nd, reinforcement material；3rd, jack；4th, reaction frame；5th, amount of deflection sensor；
6th, data collecting instrument.
Specific embodiment
For those skilled in the art is made to more fully understand technical scheme, the present invention is carried below in conjunction with the accompanying drawings
The recognition methods of the reinforcement experiment beam bridge structure parameter of confession is described in detail.
Embodiment one
The present embodiment provides a kind of recognition methods of reinforcement experiment beam bridge structure parameter, including：
Step S1, the experiment beam bridge before reinforcing is loaded, obtains initial deflection value.
Row loads when step S2, to the experiment beam bridge after reinforcing, obtains actual measurement deflection value.
Fig. 1 is the structure diagram of the deflection testing system of reinforcement experiment beam bridge.As shown in Figure 1,1 both ends of experiment beam bridge letter
Branch, the across footpath of experiment beam bridge 1 is l, rigidity EI, and jack 3, which is mounted on, tests 1 span centre of beam bridge, and jack 3 is supported on reaction frame
4 lower section, amount of deflection sensor 5 are arranged on experiment 1 span centre of beam bridge, and amount of deflection sensor 5 is connected with data collecting instrument 6, and jack 3 is pacified
It is loaded after dress is in place, payload values P, record initial deflection value fBefore。
In the present embodiment, to being reinforced within the scope of 1 bottom of experiment beam bridge calculating across footpath using reinforcement material 2, reinforce
Material 2 is carbon cloth or steel plate, and jack 3 is loaded after installing in place, and payload values P, record reinforces deflection value
fAfterwards。
Under initial ideal conditions, fBefore=Pl3/ 48EI, EI are as estimate, for ease of iterative calculation, the present embodiment
The initial stiffness EI of experiment beam bridge 1 is set0For 1, i.e. fBefore=Pl3/48.In view of influence of the reinforcement material 2 to experiment beam bridge 1, therefore
fAfterwards＜ fBefore, the present embodiment is with fAfterwards=Pl3The recognition methods of reinforcement experiment beam bridge structure parameter is illustrated exemplified by/100.
Step S3, with the initial stiffness value EI of the experiment beam bridge before reinforcing0For initial value, added using least square method pair
Gu the practical stiffness of experiment beam bridge after carries out approaching valuation, and the practical stiffness of the experiment beam bridge after being reinforced approaches
Estimate EI1。
In the present embodiment, the initial deflection value D1=p13/48EI0=0.0208Pl3, the actual measurement deflection value T=pl3/
100=0.01pl3, P be experiment beam bridge payload values, l be experiment beam bridge across footpath, the initial stiffness value EI0=1；
The present embodiment obtains amount of deflection error amount Y1=T-D1, setting the rigidity value of experiment beam bridge increases by 0.01, obtains amount of deflection and becomes
Change amount is
Obtaining parameter error estimate is
The approximation timates value of the practical stiffness of experiment beam bridge after being reinforced is
EI1=EI0+ 0.01 × θ=1.54.
Step S4, with the approximation timates value EI of the practical stiffness of the experiment beam bridge after reinforcing1For initial value, minimum is used
Square law carries out approaching valuation again to the practical stiffness of the experiment beam bridge after reinforcing, the experiment beam bridge after being reinforced
The approximation timates value EI of practical stiffness2。
In the present embodiment, the initial deflection value D2=Pl3/48EI1=0.0135Pl3.The present embodiment obtains amount of deflection error
Value Y2=T-D2, setting the rigidity value of experiment beam bridge increases by 0.01, obtains amount of deflection variable quantity and is
Obtaining parameter error estimate is
The approximation timates value of the practical stiffness of experiment beam bridge after being reinforced is
EI2=EI1+ 0.01 × θ=1.89.
Step S5, step S4 is repeated, piecewise approximation, successive ignition are carried out to the practical stiffness of the experiment beam bridge after reinforcing
Until the practical stiffness value convergence of the experiment beam bridge after reinforcing.
According to the above method, the present embodiment is to the EI of experiment beam bridge 1AfterwardsBy nine iteration, result of calculation is as shown in table 1：
Table 1 is each stiffness coefficient value approached：
| Parameter | Initially | For the first time | Second | For the third time | 4th time | 5th time | 6th time | 7th time | 8th time | 9th time |
| EIAfterwards | 1.0 | 1.54 | 1.89 | 1.99 | 2.04 | 2.06 | 2.07 | 2.076 | 2.079 | 2.081 |
| Amount of deflection | 0.0208Pl3 | 0.0135Pl3 | 0.011Pl3 | 0.0105Pl3 | 0.0102Pl3 | 0.01011Pl3 | 0.01006Pl3 | 0.010035Pl3 | 0.010019Pl3 | 0.010011Pl3 |
Step S6, the practical stiffness value EI for testing beam bridge after the reinforcing for meeting default precision is obtainedAfterwards。
Fig. 2 is the schematic diagram of rigidity and sag curve after experiment bridge reinforcement.As shown in Fig. 2, experiment 1 reinforcing of beam bridge
Stiffness parameters estimation piecewise approximation afterwards is convergent, practical stiffness EI of the rigidity estimate convergence of approximation after reinforcingAfterwards=
2.08EI0。
The recognition methods of reinforcement experiment beam bridge structure parameter provided in this embodiment, including：To before reinforcing and reinforcing
Experiment beam bridge afterwards is loaded, and obtains initial deflection value and actual measurement deflection value；With the initial firm of the experiment beam bridge before reinforcing
Angle value EI0 is initial value, and the practical stiffness of the experiment beam bridge after reinforcing is carried out approaching valuation using least square method, is obtained
The approximation timates value EI1 of the practical stiffness of experiment beam bridge after reinforcing；With the practical stiffness of the experiment beam bridge after reinforcing
Approximation timates value EI1 is initial value, and the practical stiffness of the experiment beam bridge after reinforcing is forced again using least square method
Nearly valuation, the approximation timates value EI2 of the practical stiffness of the experiment beam bridge after being reinforced；To the experiment beam bridge after reinforcing
Practical stiffness carries out piecewise approximation, and successive ignition is until the practical stiffness value convergence of the experiment beam bridge after reinforcing；Met
After the practical stiffness value EI of experiment beam bridge after the reinforcing of default precision.Technical solution provided in this embodiment is easy to operate,
Quickly, using the non-linear relation between rigidity and amount of deflection, calculated by successive ignition, efficiently solve bridge structure parameter
Nonlinear estimation problem, time of day and structure after being reinforced to assurance bridge structure install the structural parameters among calculating
Adjustment is of great significance.
It is understood that the principle that embodiment of above is intended to be merely illustrative of the present and the exemplary implementation that uses
Mode, however the present invention is not limited thereto.For those skilled in the art, the essence of the present invention is not being departed from
In the case of refreshing and essence, various changes and modifications can be made therein, these variations and modifications are also considered as protection scope of the present invention.
Claims (5)
1. a kind of recognition methods of reinforcement experiment beam bridge structure parameter, which is characterized in that including：
Step S1, the experiment beam bridge before reinforcing is loaded, obtains initial deflection value；
Row loads when step S2, to the experiment beam bridge after reinforcing, obtains actual measurement deflection value；
Step S3, with the initial stiffness value EI of the experiment beam bridge before reinforcing0For initial value, using least square method to reinforcing it
The practical stiffness of experiment beam bridge afterwards carries out approaching valuation, the approximation timates of the practical stiffness of the experiment beam bridge after being reinforced
Value EI1；
Step S4, with the approximation timates value EI of the practical stiffness of the experiment beam bridge after reinforcing1For initial value, least square is used
Method carries out approaching valuation again to the practical stiffness of the experiment beam bridge after reinforcing, the reality of the experiment beam bridge after being reinforced
The approximation timates value EI of rigidity2；
Step S5, repeat step S4, to after reinforcing experiment beam bridge practical stiffness carry out piecewise approximation, successive ignition until
The practical stiffness value convergence of experiment beam bridge after reinforcing；
Step S6, the practical stiffness value EI for testing beam bridge after the reinforcing for meeting default precision is obtainedAfterwards。
2. the recognition methods of reinforcement experiment beam bridge structure parameter according to claim 1, which is characterized in that described initially to scratch
Angle value D1=Pl3/48EI0=0.0208Pl3, the actual measurement deflection value T=Pl3/ 100=0.01Pl3, P is the lotus of experiment beam bridge
Load value, l be experiment beam bridge across footpath, the initial stiffness value EI0=1；
The step S3 includes：
Obtain amount of deflection error amount Y1=T-D1；
Setting the rigidity value of experiment beam bridge increases by 0.01, obtains amount of deflection variable quantity and is
Obtaining parameter error estimate is
The approximation timates value of the practical stiffness of experiment beam bridge after being reinforced is
EI1=EI0+ 0.01 × θ=1.54.
3. the recognition methods of reinforcement experiment beam bridge structure parameter according to claim 2, which is characterized in that described initially to scratch
Angle value D2=Pl3/48EI1=0.0135Pl3, the step S4 includes：
Obtain amount of deflection error amount Y2=T-D2；
Setting the rigidity value of experiment beam bridge increases by 0.01, obtains amount of deflection variable quantity and is
Obtaining parameter error estimate is
The approximation timates value of the practical stiffness of experiment beam bridge after being reinforced is
EI2=EI1+ 0.01 × θ=1.89.
4. the recognition methods of reinforcement experiment beam bridge structure parameter according to claim 1, which is characterized in that in the step
1 and step 2 among, the experiment beam bridge is simply-supported state, the experiment beam bridge before reinforcing with reinforce after experiment beam bridge
Payload values are identical.
5. the recognition methods of reinforcement experiment beam bridge structure parameter according to claim 1, which is characterized in that in the step
1 and step 2 among, it is described actual measurement deflection value be less than the initial deflection value, the initial deflection value be Pl3/ 48, P are experiment
The payload values of beam bridge, 1 is the across footpath of experiment beam bridge.
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Cited By (1)
| Publication number | Priority date | Publication date | Assignee | Title |
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| CN110567661A (en) * | 2019-09-11 | 2019-12-13 | 重庆大学 | bridge damage identification method based on generalized pattern search algorithm and axle coupling |
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