CN110489916A - Uniform beam damnification recognition method based on faulted condition inclination effect line curvature - Google Patents
Uniform beam damnification recognition method based on faulted condition inclination effect line curvature Download PDFInfo
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Abstract
The invention discloses a kind of uniform beam damnification recognition methods based on faulted condition inclination effect line curvature, and steps are as follows: applying traveling load to each point position of girder construction after damage, obtain the actual measurement inclination effect line of damage the latter inclination angle test position；Curvature is sought to line is influenced, damage position is tentatively judged by the mutation of curvature curve；The curvature value for rejecting damage position carries out sectional linear fitting to remaining curvature curve, it is influenced line curvature with damage back rake angle and made the difference, further judges damage position by the inclination effect line Curvature Estimation value before being damaged；It is quantitative that inclination effect line Curvature Estimation value variation opposite with the actual measurement inclination effect line curvature after damage before being damaged by girder construction carries out degree of injury；If statically indeterminate beam structure, damage judgement is carried out using the non-destructive tests result synthesis of the inclination effect line curvature of multiple positions.The present invention can equal cross section girder construction damage be accurately positioned and quantified, the lesion assessment applied to girder construction.
Description
Technical field
The present invention relates to girder construction technical field of nondestructive testing, in particular to a kind of bent based on faulted condition inclination effect line
The uniform beam damnification recognition method of rate.
Background technique
The old bridge in China was more and more in recent years, and the problem is also increasingly significant.Existing bridge much has been unable to meet
Functional requirements, the safety accidents such as bridge breaking, collapsing happen occasionally, and field of civil engineering scholar gradually recognizes to bridge knot
Structure carries out the importance of health monitoring and security evaluation, and has studied various damage identification techniques.Damage Assessment Method is bridge
The important component of structural healthy monitoring system, mainly there is two major classes damnification recognition method at present, and one kind is joined based on power
Several damnification recognition methods mainly judges structural damage, such method by the variation of structural modal (vibration frequency and the vibration shape)
It is more demanding to measuring point quantity, sensor accuracy class, Modal Parameters Identification etc..Another kind of method is based on Static Parameter
Damnification recognition method, the Structural Damage Identification based on Static Parameter can effectively avoid quality, particularly damping etc. no
Certainty influences, simultaneously because measuring device and technology are advanced and mature at present, it is quite quasi- that structure can be obtained with lower cost
True measured value, therefore, the Damage Assessment Method technology based on Static Parameter are widely studied.
The more index of Damage Assessment Method technical research based on Static Parameter is based on amount of deflection, static(al) strain and branch
Seat influence line for reaction index etc., with the progress of obliquity sensor technology, the variation for damaging front-end geometry tilt curves is expected to answer
For in the non-destructive tests of structure, currently, the relevant document report of rarely seen related inclination angle non-destructive tests.
Summary of the invention
It is simple, at low cost based on faulted condition inclination angle that in order to solve the above technical problem, the present invention provides a kind of algorithms
Influence the uniform beam damnification recognition method of line curvature.
Technical proposal that the invention solves the above-mentioned problems is: a kind of cross-section based on faulted condition inclination effect line curvature
Beam damnification recognition method, it is characterised in that include the following steps:
(1) traveling load is applied to each point position of girder construction after damage, obtains girder construction and damages the survey of the latter inclination angle
Try the actual measurement inclination effect line of position；
(2) curvature is asked to the actual measurement inclination effect line after girder construction damage, is tentatively sentenced by the mutation peak value of curvature curve
Disconnected damage position；
(3) curvature value for rejecting damage position carries out sectional linear fitting, inclining before being damaged to remaining curvature curve
Angle influences line Curvature Estimation value, and the inclination effect line Curvature Estimation value before damage is influenced line curvature with damage back rake angle and is made the difference,
Further judge damage position；
(4) the actual measurement inclination effect line curvature after inclination effect line Curvature Estimation value and damage before being damaged by girder construction
It is quantitative that opposite variation carries out degree of injury；
(5) to statically indeterminate beam structure, circulation step (2) to step (4) repeatedly, using the inclination effect of at least two positions
The non-destructive tests result synthesis of line curvature carries out damage judgement.
The above-mentioned uniform beam damnification recognition method based on faulted condition inclination effect line curvature, in step (2), inclination angle shadow
Line curvature θ " is rung to be calculated by centered difference:
Wherein, subscript i is measuring point number, θ "iFor the inclination effect line curvature of measuring point i, ε is the spacing of measuring point i-1 to measuring point i
With measuring point i to the average value of measuring point i+1 spacing, θiFor the inclination angle of load action test position when the i measuring point.
The above-mentioned uniform beam damnification recognition method based on faulted condition inclination effect line curvature, in step (3), inclination angle shadow
Ring line curvature difference damage reason location index DI are as follows:
Wherein, θ "iuFor the inclination effect line curvature of load action fitting estimation before the i-th Measuring Point Structure damages, θ "idFor
Actual measurement inclination effect line curvature of the load action after the damage of the i-th Measuring Point Structure, n is measure-point amount, and No. 1 point layout is in beam knot
Structure one end, for n point layout in the girder construction other end, measure-point amount is continuous, successively increases from 1 to n, and i is more than or equal to 2 and is less than
Equal to n-1.
The above-mentioned uniform beam damnification recognition method based on faulted condition inclination effect line curvature, in the step (4), knot
Structure degree of injury quantitative target DeCalculation method are as follows:
De=[0De2…Dei…De(n-1)0]；
Wherein, DeiFor the structural damage degree of the i-th measuring point identification；
To structure temporary location, degree of injury calculation method are as follows:
To the side unit of structure, if corner has constraint, degree of injury are as follows:
To the side unit of structure, if corner is without constraint, when inclination angle test position is to damage the fulcrum measuring point of side unit, damage
Hurt the degree of injury of unit still are as follows:
Otherwise are as follows:
The above-mentioned uniform beam damnification recognition method based on faulted condition inclination effect line curvature in step (4), works as inclination angle
When test position is on the measuring point of certain damage unit, the degree of injury value of adjacent measuring point is taken, is known in continuous beam central bearing point measuring point
Other degree of injury is less than normal than actual value more apparent, and degree of injury takes the recognition result of adjacent another measuring point.
The above-mentioned uniform beam damnification recognition method based on faulted condition inclination effect line curvature, in step (1), structure damage
Hurting back rake angle influences the measuring point of line test often across no less than 6.
The beneficial effects of the present invention are: the inclination effect line curvature that the present invention passes through damage uniform beam structure first is bent
Line seeks curvature, tentatively carries out damage reason location by the mutation peak value of curvature curve, then rejects the curvature value of damage position, to surplus
Remaining curvature curve carries out segmentation and carries out linear fit, the inclination effect line Curvature Estimation value of damage pre-structure is obtained, before damage
The inclination effect line Curvature Estimation value and actual measurement inclination effect line curvature of structure make the difference and further judge damage position, finally establish
By the explicit expression of inclination effect line curvature estimation degree of injury before and after structural damage, journey directly can be damaged by curvature estimation
Degree.The present invention considers a variety of damage regimes, demonstrates damage by cross-section simply supported beam, cantilever beam and three-span continuous beam example
Application value of the state inclination effect line curvature index in uniform beam Damage Assessment Method, it is fixed for uniform beam structural damage
Position with quantitatively provide a kind of effective new method.
Detailed description of the invention
Fig. 1 is the flow diagram of the method for the present invention.
Fig. 2 is simple beam structure illustraton of model of the present invention.
Fig. 3 is the bending moment diagram that simply supported beam unit bending moment of the present invention acts on the position b.
Fig. 4 is simply supported beam Concentrated load bending moment diagram of the present invention.
Fig. 5 is three-span continuous beam Concentrated load schematic diagram of the present invention.
Fig. 6 is three-span continuous beam 1#~3# support position inclination effect line curvature chart of the present invention.
Fig. 7 is one simply supported beam finite element model figure of the embodiment of the present invention.
Fig. 8 is the schematic diagram of 1 inclination effect line curvature of faulted condition measuring point in the embodiment of the present invention one.
Fig. 9 is 1 inclination effect line Curve-fitting figure of measuring point in the embodiment of the present invention one.
Figure 10 is the schematic diagram of 1 inclination effect line curvature damage reason location index DI of measuring point in the embodiment of the present invention one.
Figure 11 is 1 inclination effect line curvature degree of injury quantitative target D of measuring point in the embodiment of the present invention oneeSchematic diagram.
Figure 12 is two cantilever beam finite element model figure of the embodiment of the present invention.
Figure 13 is the schematic diagram of 21 inclination effect line curvature of faulted condition measuring point in the embodiment of the present invention two.
Figure 14 is 21 inclination effect line Curve-fitting figure of measuring point in the embodiment of the present invention two.
Figure 15 is the schematic diagram of 21 inclination effect line curvature damage reason location index DI of measuring point in the embodiment of the present invention two.
Figure 16 is 21 inclination effect line curvature degree of injury quantitative target D of measuring point in the embodiment of the present invention twoeSchematic diagram.
Figure 17 is three three-span continuous beam finite element model figure of the embodiment of the present invention.
Figure 18 is the schematic diagram of 11 inclination effect line curvature of faulted condition measuring point in the embodiment of the present invention three.
Figure 19 is 11 inclination effect line Curve-fitting figure of measuring point in the embodiment of the present invention three.
Figure 20 is the schematic diagram of 11 inclination effect line curvature damage reason location index DI of measuring point in the embodiment of the present invention three.
Figure 21 is 11 inclination effect line curvature degree of injury quantitative target D of measuring point in the embodiment of the present invention threeeSchematic diagram.
Figure 22 is the schematic diagram of 1 inclination effect line curvature damage reason location index DI of measuring point in the embodiment of the present invention three.
Figure 23 is 1 inclination effect line curvature degree of injury quantitative target D of measuring point in the embodiment of the present invention threeeSchematic diagram.
Specific embodiment
The present invention will be further described with reference to the accompanying drawings and embodiments, in the following description when referring to the accompanying drawings, unless another
There is expression, the same numbers of different attached drawings indicate the same or similar element.
As shown in Figure 1, a kind of uniform beam damnification recognition method based on faulted condition inclination effect line curvature, specific to walk
It is rapid as follows:
Step 1: traveling load being applied to each point position of girder construction after damage, girder construction is obtained and damages the latter inclination angle
The actual measurement inclination effect line of test position.The point position arrangement of inclination effect line test before and after structural damage is identical, influences line
Measuring point is often across no less than 6.
Step 2: curvature is asked to the actual measurement inclination effect line after girder construction damage, it is preliminary by the mutation peak value of curvature curve
Judge damage position.
Step 3: rejecting the curvature value of damage position, sectional linear fitting is carried out to remaining curvature curve, before obtaining damage
Inclination effect line Curvature Estimation value, by before damage inclination effect line Curvature Estimation value with damage back rake angle influence line curvature do
Difference further judges damage position.
Step 4: the actual measurement inclination effect line after inclination effect line Curvature Estimation value and damage before being damaged by girder construction
It is quantitative that the opposite variation of curvature carries out degree of injury.
Step 5: to statically indeterminate beam structure, circulation step 2 is to step 4 more times, using the inclination effect of at least two positions
The non-destructive tests result synthesis of line curvature carries out damage judgement.
Applying step 1, by taking simply supported beam as an example, structural model such as Fig. 2, freely-supported beam span is L, and A, B are two of simply supported beam
Endpoint, distance of the damage position away from left end A are a, and the distance between each measuring point is ε, and the rigidity of non-damaged structure is EI, damage
The rigidity of unit is EId.It is the inclination effect line of the position b (b≤a) apart from left end A length, unit bending moment M=1 acts on this position
Moment of flexure when setting is (such as Fig. 3):
In the case where indicating that unit bending moment M=1 is acted on and is the position b apart from left end A length, when [0, b] x ∈,
Distance away from simply supported beam left end point A is the moment of flexure at x position；Indicate that unit bending moment M=1 is acted on apart from left end A long
Degree be the position b in the case where x ∈ (b, L] when, the distance away from simply supported beam left end point A be x position at moment of flexure；X is indicated away from freely-supported
The distance of beam left end point A；
Load P is acted on is apart from left end A lengthMoment of flexure when position are as follows:
M1(x) indicate that load P is acted on is apart from left end A lengthIn the case where position,When, away from simply supported beam
The distance of left end point A is the moment of flexure at x position；M2(x) indicate that load P is acted on is apart from left end A lengthThe case where position
Under,When, the distance away from simply supported beam left end point A is the moment of flexure at x position；
It is moved to right end (such as Fig. 4) from left end with load P, using layer control, inclination effect line can be acquired.
When not damaged, when traveling load P is located at [0, b] section, i.e.,When, it is b apart from left end A length
Set the inclination effect line at placeAre as follows:
When traveling load P be located at (b, L] section when, apart from left end A length be the position b at inclination effect line
Are as follows:
In formula, subscript " u " indicates the non-faulted condition of structure.
It is the inclination angle at the position b apart from left end A length when traveling load P is located at [0, b] section when structure is had damage
Influence lineAre as follows:
When traveling load P be located at (b, a] section when, apart from left end A length be the position b at inclination effect line
Are as follows:
It is the inclination effect line at the position b apart from left end A length when traveling load P is located at the section [a+ ε, L]
Are as follows:
In formula, subscript " d " indicates On Damage State.
Applying step 2, inclination effect line curvature θ " are calculated by centered difference:
Wherein, subscript i is measuring point number, the spacing that ε is measuring point i-1 to measuring point i being averaged to measuring point i+1 spacing with measuring point i
Value, θiFor the inclination angle of load action test position when the i measuring point；
The mutation peak value of logical inclination effect line curvature curve tentatively judges damage position.
Applying step 3 can obtain non-faulted condition inclination effect line curvature by formula (3), (4) are as follows:
From the above equation, we can see that for uniform beam structure, the rigidity EI of structure is constant when not damaging, therefore inclining when not damaging
It is piecewise linear function that angle, which influences line curvature, can reject the curvature value of damage position, carries out segmented line to remaining curvature curve
Property fitting, the inclination effect line Curvature Estimation value before damage, influencing line curvature with damage back rake angle makes the difference, and damage calmly
Position.
For faulted condition, when load P is respectively acting on measuring point i-2, i-1, right side measuring point i on the left of damage position, and
When the measuring point i+1 of distance i measuring point ε, the inclination effect line of the position b is respectively (assuming that b≤a- ε):
θ(i-2)d=θdL(a-ε) (10)
θ(i-1)d=θdL(a) (11)
θid=θdL(a+ε) (12)
θ(i+1)d=θdL(a+2ε) (13)
It is respectively as follows: using the inclination effect line curvature that damage position i-1, i measuring point can be calculated in central difference method
Load action i-1, i measuring point inclination effect line curvature before damaging are as follows:
By above-mentioned derivation it is found that when the unit between i-1, i measuring point is not damaged, i.e. EIdWhen=EI, θ "(i-1)u=
θ″(i-1)d、θ″iu=θid, namely theoretically damaging front and back inclination effect line curvature difference not damaging is 0 at unit, works as structure
When haveing damage, θ "(i-1)u≠θ″(i-1)d、θ″iu≠θ″id, therefore can be damaged by damage front and back inclination effect line curvature difference
Positioning, damage reason location index DI calculation method are as follows:
DI=[DI1 DI2 …DIi …DIn-1 DIn] (18)
DIi=θ "id-θ″iu (19)
In formula: θ "iuFor the inclination effect line curvature of load action fitting estimation before the i-th Measuring Point Structure damages, θ "idFor
Actual measurement inclination effect line curvature of the load action after the damage of the i-th Measuring Point Structure, n are measure-point amount, are surveyed at the support of girder construction side
Point 1, n can not seek curvature, take DI1=DIn=0.
Applying step 4:
(1) as b≤a- ε
Right cell is damaged, at this time a=L- ε, seeks the inclination effect line curvature of i-1 measuring point before and after structural damage, by
Formula (16), (14) are respectively as follows:
Formula (20) substitution formula (21) can be acquired:
Therefore the degree of injury for the unit that can be asked are as follows:
Temporary location is damaged, at this time a < L- ε, can be obtained by formula (16), (14) and formula (17), (15):
Therefore the degree of injury for the unit that can be asked are as follows:
(2) as b=a
The inclination effect line of faulted condition is divided to two sections, when traveling load P is located at [0, b] section, is b apart from left end A length
Inclination effect line at position isTraveling load P be located at (b, L] section when, apart from left end A length be the position b at
Inclination effect line isCalculation method is respectively as follows:
Load action i-1, i measuring point inclination effect line curvature before damaging are as follows:
Contrast (16), (17) are it is found that as b=a, θ "(i-1)uDifference, θ "iuIt is identical.
Faulted condition load action i-1, i measuring point inclination effect line curvature are as follows:
It can be obtained by formula (30), (32):
Therefore the degree of injury for the unit that can be asked are as follows:
By formula (29), (31), degree of injury can be acquired:
As it can be seen that θ "(i-1)uWith θ "(i-1)dRelationship and a, L, ε specific value it is related, general conclusion cannot be obtained,
I.e. the conclusion of this formula cannot be generalized to other structures, as used in cantilever beam, continuous beam.Therefore work as inclination angle observation position just position
When damaging unit measuring point, the non-destructive tests result of the measuring point on side can use.
Side unit is damaged, a=0, by formula (30), (32) it is found that the calculation formula of degree of injury is still formula (34).
In applying step (5), for statically indeterminate structure, by taking three-span continuous beam as an example, such as Fig. 5,1#, 2#, 3# support position
Inclination effect line curvature such as Fig. 6, inclination effect line curvature curve will have zero point, therefore damage quantitative formula can not at zero point
Accurately identify degree of injury, it may occur that mutation, but the inclination effect line curvature dead-center position at two is different, therefore be considered as multiple
The non-destructive tests result synthesis of the inclination effect line curvature of position carries out damage judgement.The taken suitable standoff distance of inclination angle test position
Suitably, and inclination effect line number is according to as big as possible, to beam structure, can use the inclination effect line curvature at each fulcrum and carries out
Non-destructive tests.
Embodiment one: referring to Fig. 7, simply supported beam across footpath is 100cm, and 5cm divides a unit, altogether 20 units, 21
Measuring point (number in figure in upper row's circle is element number, and lower number of rows word is measuring point number).Plate sectional dimension is b × h=
4.5cm × 1.5cm, elasticity modulus of materials are 2.7 × 103MPa, Poisson's ratio 0.37, density 1200kg/m3。
Damage in engineering structure is general only to draw such as the reduction of the generation of crackle, material corrosion or elasticity modulus
It plays the rigidity of structure and generates biggish variation, and the quality of structure is influenced smaller.Therefore in FEM calculation, it is assumed that structural unit
Damage only causes the decline of element stiffness, the change without causing element quality.The reduction that the damage of unit passes through elasticity modulus
To simulate.Girder construction model is established using ANSYS software beam3 beam element.By taking multiple-unit damage regime as an example, side unit is considered
1 occurs to damage in various degree simultaneously with span centre unit 10, and damage regime is as shown in table 1.
1 simply supported beam poly-injury operating condition of table
Specific implementation step is as follows:
Step 1: applying the traveling load of 1kN, obtain the actual measurement inclination effect line of measuring point 1 after simply supported beam damage.
Step 2: curvature being asked to the inclination effect line after girder construction damage, passes through the mutation peak of inclination effect line curvature curve
Value tentatively judges damage position, such as Fig. 8, occurs obvious peak value at unit 1,10 as the result is shown, and preliminary judging unit 1,10 occurs
Damage.
Step 3: the inclination effect line curvature value of 1,10 or so measuring point of culling unit carries out inclination effect line curvature curve
Linear fit, such as Fig. 9, the inclination effect line Curvature Estimation value before being damaged influence line curvature with damage back rake angle and make the difference, such as
Figure 10, it is seen then that measuring point peak value is obvious at unit 1,10, illustrates that unit 1,10 damages.
Step 4: the actual measurement inclination effect line after inclination effect line Curvature Estimation value and damage before being damaged by girder construction
The opposite variation of curvature carries out degree of injury and quantifies, the damage degree index D of poly-injury operating condition 1~2eRecognition effect such as Figure 11, damage
Recognition result and the theoretical value for hurting degree are essentially identical, and index is good to simply supported beam damage degree recognition effect.
Embodiment two: referring to Figure 12, cantilever beam across footpath is 100cm, and 5cm divides a unit, altogether 20 units, 21
Measuring point (number in figure in upper row's circle is element number, and lower number of rows word is measuring point number).Plate sectional dimension is b × h=
4.5cm × 1.5cm, elasticity modulus of materials are 2.7 × 103MPa, Poisson's ratio 0.37, density 1200kg/m3。
Consider clamped end unit 1, span centre unit 10, damage in various degree, damage occurs at free end unit 20 3 jointly
Operating condition is as shown in table 2.
2 cantilever beam poly-injury operating condition of table
Specific implementation step is as follows:
Step 1: applying the traveling load of 1kN, obtain the actual measurement inclination effect line of cantilever beam damage back boom end measuring point 21
Curve.
Step 2: curvature being asked to the inclination effect line after girder construction damage, passes through the mutation peak of inclination effect line curvature curve
Value tentatively judge damage position, such as Figure 13, as the result is shown unit 1, unit 10, there is obvious peak value at unit 20, tentatively judgement
Unit 1,10,20 damages.
Step 3: the inclination effect line curvature value of 1,10,20 or so measuring point of culling unit, to inclination effect line curvature curve
Linear fit, such as Figure 14 are carried out, the inclination effect line Curvature Estimation value before being damaged is a constant, with damage back rake angle shadow
It rings line curvature to make the difference, such as Figure 15, it is seen then that unit 1,10,10 damages.
Step 4: the actual measurement inclination effect line after inclination effect line Curvature Estimation value and damage before being damaged by girder construction
The opposite variation of curvature carries out degree of injury and quantifies, operating condition 1,2 damage quantitative index D of operating conditioneRecognition effect such as Figure 16, is identified
Degree of injury is close with actual damage at unit 1,10,20.Index is also good to the poly-injury effect of cantilever beam.
Embodiment three: referring to Figure 17, three-span continuous beam span setting is 100+150+100cm, and 10cm divides a unit,
35 units altogether, 36 measuring points (number in figure in upper row's circle is element number, and lower number of rows word is support number).Plate is cut
Having a size of b × h=4.5cm × 1.5cm, elasticity modulus of materials is 2.7 × 10 in face3MPa, Poisson's ratio 0.37, density are
1200kg/m3。
Unit 7 is located under Uniform Load near 0 point of end bay moment of flexure, and unit 18 is middle span span centre unit, unit 26
It is third across maximum hogging moment unit, damage regime such as table 3.
3 three-span continuous beam damage regime of table
Specific implementation step is as follows:
Step 1: applying the traveling load of 1kN, obtain the actual measurement inclination effect of measuring point 11 (2# support) after continuous beam damage
Line curve.
Step 2: curvature being asked to the inclination effect line after girder construction damage, passes through the mutation peak of inclination effect line curvature curve
Value tentatively judge damage position, such as Figure 18, as the result is shown unit 7, unit 18, there is obvious peak value at unit 26, tentatively judgement
Unit 7,18,26 damages.
Step 3: the inclination effect line curvature value of 7,18,26 or so measuring point of culling unit, to inclination effect line curvature curve
Linear fit, such as Figure 19 are carried out, the inclination effect line Curvature Estimation value before being damaged influences line curvature with damage back rake angle and does
Difference, such as Figure 20, it is seen then that bright damage occurs for recognition unit 7,18,26, but measuring point 11 also has apparent peak value, is due to inclination angle
Influencing curvature at line position has mutation, such as Figure 19, and the actual curvature value of measuring point 11 by fitting or is by first close to 0
Section straight line for a larger positive value or is by second segment straight line, is a larger negative value, very big with actual value difference, to lead
The DI curve of cause has mutation, also results in DeCurve has mutation.
Step 4: the actual measurement inclination effect line after inclination effect line Curvature Estimation value and damage before being damaged by girder construction
The opposite variation of curvature carries out degree of injury and quantifies, 1 damage quantitative index D of operating conditioneSuch as Figure 21, the damage of the unit 7,18 identified
Degree is closer to theoretical degree of injury, and the identification of damage degree of measuring point 26 is less than normal than theoretical value, the reason is that continuous beam central bearing point
Position, but measuring point 27 identify degree of injury it is close with theoretical value, therefore can use the measuring point as a result, the degree of injury of measuring point 11
Value is greater than 1, it should which there is no damages.
It is proofreaded using the inclination effect knot fruit of measuring point 1 (1# support), method is the same, obtains damage reason location index as schemed
22, degree of injury quantitative target such as Figure 23, it is seen then that the degree of injury of measuring point 11 be negative value, do not damage, thus only unit 7,
18, it 26 damages, degree of injury is about 0.3 or so.
The foregoing is merely 3 embodiments of the invention, all equivalent changes done according to scope of the present invention patent with
Modification, comes under covering scope of the invention.
Claims (6)
1. a kind of uniform beam damnification recognition method based on faulted condition inclination effect line curvature, it is characterised in that including as follows
Step:
(1) traveling load is applied to each point position of girder construction after damage, obtains girder construction and damages the latter inclination angle test position
The actual measurement inclination effect line set；
(2) curvature is asked to the actual measurement inclination effect line after girder construction damage, tentatively judges to damage by the mutation peak value of curvature curve
Hurt position；
(3) curvature value for rejecting damage position carries out sectional linear fitting to remaining curvature curve, the inclination angle shadow before being damaged
Line Curvature Estimation value is rung, the inclination effect line Curvature Estimation value before damage is influenced into line curvature with damage back rake angle and is made the difference, into one
Step judges damage position；
(4) the inclination effect line Curvature Estimation value before being damaged by girder construction is opposite with the actual measurement inclination effect line curvature after damage
It is quantitative that variation carries out degree of injury；
(5) to statically indeterminate beam structure, circulation step (2) to step (4) is repeatedly, bent using the inclination effect line of at least two positions
The non-destructive tests result synthesis of rate carries out damage judgement.
2. the uniform beam damnification recognition method according to claim 1 based on faulted condition inclination effect line curvature,
Be characterized in that: in step (2), inclination effect line curvature θ " is calculated by centered difference:
Wherein, subscript i is measuring point number, θ "iFor the inclination effect line curvature of measuring point i, ε is the spacing and survey of measuring point i-1 to measuring point i
Average value of the point i to measuring point i+1 spacing, θiFor the inclination angle of load action test position when the i measuring point.
3. the uniform beam damnification recognition method according to claim 2 based on faulted condition inclination effect line curvature,
It is characterized in that: in step (3), inclination effect line curvature difference damage reason location index DI are as follows:
Wherein, θ "iuFor the inclination effect line curvature of load action fitting estimation before the i-th Measuring Point Structure damages, θ "idFor load work
For the actual measurement inclination effect line curvature after the damage of the i-th Measuring Point Structure, n is measure-point amount, and No. 1 point layout is in girder construction one
End, for n point layout in the girder construction other end, measure-point amount is continuous, successively increases from 1 to n, and i is more than or equal to 2 and is less than or equal to
n-1。
4. the uniform beam damnification recognition method according to claim 3 based on faulted condition inclination effect line curvature,
It is characterized in that: in the step (4), structural damage degree quantitative target DeCalculation method are as follows:
De=[0 De2 … Dei … De(n-1)0]；
Wherein, DeiFor the structural damage degree of the i-th measuring point identification；
To structure temporary location, degree of injury calculation method are as follows:
To the side unit of structure, if corner has constraint, degree of injury are as follows:
To the side unit of structure, if corner is without constraint, when inclination angle test position is to damage the fulcrum measuring point of side unit, damage is single
The degree of injury of member is still are as follows:
Otherwise are as follows:
5. the uniform beam damnification recognition method according to claim 1 based on faulted condition inclination effect line curvature,
It is characterized in that: in step (4), when inclination angle test position is on the measuring point of certain damage unit, taking the damage journey of adjacent measuring point
Angle value, less than normal than actual value more apparent in the degree of injury of continuous beam central bearing point measuring point identification, degree of injury takes adjacent another survey
The recognition result of point.
6. the uniform beam damnification recognition method according to claim 1 based on faulted condition inclination effect line curvature,
Be characterized in that: in step (1), structural damage back rake angle influences the measuring point of line test often across no less than 6.
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