CN105701333B - A kind of space prestressed cable-strut system overall security evaluation method - Google Patents
A kind of space prestressed cable-strut system overall security evaluation method Download PDFInfo
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- CN105701333B CN105701333B CN201511026320.5A CN201511026320A CN105701333B CN 105701333 B CN105701333 B CN 105701333B CN 201511026320 A CN201511026320 A CN 201511026320A CN 105701333 B CN105701333 B CN 105701333B
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Abstract
The present invention relates to a kind of space prestressed cable-strut system overall security evaluation method, is the Suo Li and drag-line extent of corrosion testing result according to space prestressed rope leverage, establishes the numerical analysis model of space prestressed rope leverage；On the basis of the analysis of disconnected rope, the weight coefficient of each rope section is determined；The membership function of drag-line extent of corrosion is established, the single factor judgment matrix that space prestressed rope leverage considers corrosion is calculated；Build the safe Comment gathers of Cable system；The fuzzy synthetic evaluation model of rope system security is established, rope system security is evaluated according to the weight coefficient of drag-line and extent of corrosion.Avoid the subjectivity in conventional appraisement system or evaluation method；Meanwhile proposed method can carry out changing determining for Suo Shunxu according to the present invention, avoid changing the blindness in rope work progress in the past.
Description
Technical field
The present invention relates to space prestressed cable-strut system overall security evaluation method, belong to engineering structure secure authentication with
Assessment technique field.
Background technology
In recent years, the case corroded in use on drag-line in space prestressed rope system is reported repeatedly,
Due to lasso protection layer in atmospheric environment there occurs aging, damage and destruction, cause water to be situated between with some corrosivity in air
Matter is entered in protective layer and contacted with steel wire, and then electrochemical reaction occurs, and is accelerated the corrosion rate of steel wire in rope, is promoted drag-line
Corrosion.Meanwhile drag-line is under high-strength stress state, bears various loads, cause drag-line meet with stresses at the same time corrosion and it is tired
Labor is corroded.Drag-line under high-stress state is likely to occur disrumpent feelings when being corroded to a certain degree, even result in total body
System collapses.
Due to space prestressed steel structure building field application time also less than 20 years, commented for the safety of itself
Valency method system temporarily has no report.At present, the safety evaluation method for Cable system be using cable-stayed bridge as research object, but by
In cable-stayed bridge pylon there are the problem of absolute rigidity is larger, bridge deck structure relative rigidity is weaker, and arrangement form is single, and it is common
Fuzzy comprehensive evaluation method, analytic hierarchy process (AHP) and Fuzzy AHP, variable synthesis method etc. is in drag-line weight determining procedure
With stronger subjectivity, the above method is evaluated and not applied to space prestressed cable-strut system general safety.
The content of the invention
In order to how solve based on the pass corroded with the progress prestressed cable leverage quantification safety evaluation of Suo Li testing results
Key technology problem, the object of the present invention is to provide a kind of space prestressed rope leverage overall security evaluation method, based on space
Suo Li and the corrosivity monitor of prestressed cable leverage quantitatively determine each drag-line weight as a result, being analyzed by disconnected rope, avoid drag-line
Subjectivity in weight determining procedure；Meanwhile according to maximum membership degree decision criteria, build space prestressed rope leverage and integrally pacify
Full property evaluate collection, according to each rope section weight and extent of corrosion, the safety integrity level of judge prestressed cable leverage.
In order to solve the above technical problems, what the present invention was realized in：
On the basis of space prestressed rope leverage Cable power and extent of corrosion detection, space prestressed rope leverage is established
Numerical model, carry out space prestressed rope leverage disconnected rope analysis；According to the analysis of disconnected rope as a result, carrying out space prestressed rope
The weight quantification of each drag-line determines in leverage；The membership function of drag-line extent of corrosion is established, and builds space prestressed rope
The safety evaluation collection of leverage, on this basis, according to maximum membership degree criterion, according to extent of corrosion and drag-line weight coefficient, most
The safety integrity level of space prestressed rope leverage is determined eventually.
Space prestressed rope leverage overall security evaluation method, comprises the following steps that：
(1) carry out space prestressed rope leverage Cable power and extent of corrosion detection, and to key node locus into
Row positioning；
(2) numerical analysis model of space prestressed rope leverage is established, accounts for the disconnected rope analysis of extent of corrosion：
1. establishing the numerical analysis model of structure, model analysis is carried out.After calculating, the extraction main vibration shape of two ranks is consolidated
There is frequency, solve Rayleigh damping constant.
2. applying initial strain according to the cable tension test result of each section of drag-line in space prestressed rope leverage, whole model is applied
Add Tuned mass damper coefficient, define time step, time step determines the original state of structure, carry out the 2nd calculating to model.
3. restarted based on the 2nd calculating of model, at the time of drag-line unit " dead " to be broken is set, weight
It is new to define time step and time step, carry out disconnected rope analysis successively to every drag-line in model.
(3) on the basis of the analysis of disconnected rope, based on analytic hierarchy process (AHP), the drag-line weight to considering extent of corrosion quantifies
Change analysis, determine.
1. it is F to have the rope force value of n roots drag-line in an initial condition in space prestressed rope leveragei(i=1,2 ..., n).
2. it can be obtained according to the result of disconnected rope analysis, after a wherein Cable failure, in the rope of disconnected rope remaining drag-line of moment
Power meeting judder reaches new equilibrium state until structure, and the maximum in disconnected rope process for extracting each Cable power is Fij(j
=1,2 ..., n).
3. maximum changing amplitudes of the η as Cable power is set, i.e.,Represent that drag-line j fractures backstay i is vibrating
During maximum changing amplitude,Represent maximum change width of the drag-line i fractures backstay j in vibration processes
Degree；
4. according to ηiWith ηjSize differentiate the relative importance of drag-line i and drag-line j, build drag-line weight quantification meter
The judgment matrix of calculation, after carrying out consistency check, determines the weight of each Cable section.
(4) membership function of drag-line extent of corrosion differentiation is established, according to the testing result of drag-line extent of corrosion, judges every
The degree of membership of drag-line corrosion.
(5) it is four by the safety evaluation grade classification of space prestressed rope leverage, i.e. Cable system Comment gathers are：V=
{ safety, secondary safety is dangerous, dangerous }.
(6) the drag-line extent of corrosion that the drag-line weight coefficient matrix that step (3) analysis is drawn is drawn with step (4) is subordinate to
Matrix multiple is spent, draws fuzzy comprehensive evoluation vector B.
(7) according to maximum membership degree criterion, the Comprehensive Evaluation vector B drawn based on step (6) analysis, is carried out space and in advance should
The overall security evaluation of power rope system.
The present invention has following positive effect：For the space prestressed rope leverage being on active service for many years, corrode journey in its drag-line
Degree, on the basis of Suo Li complete detections, can according to the safe class of method rational judgment structure entirety proposed by the invention,
Avoid the subjectivity in conventional appraisement system or evaluation method；Meanwhile can according to the present invention proposed method carry out changing rope it is suitable
Determining for sequence, avoids changing the blindness in rope work progress in the past.
Brief description of the drawings
Fig. 1 is space prestressed rope bar safe evaluation method flow chart；
Fig. 2 is that space prestressed rope leverage breaks rope analysis process figure；
Fig. 3 is the analysis model geometrical arrangements figure described in embodiment 1；
Fig. 4 is the Suo Li change curves that the drag-line S5-2 of embodiment 1 is broken remaining each rope section, wherein, (a) S5-1, (b)
S4-1、(c)S3-3、(d)S3-2、(e)S3-1、(f)S2-1、(g)S2-2；
Fig. 5 is the membership function figure of drag-line extent of corrosion.
Embodiment
With reference to embodiment, the present invention is described in further detail.
Fig. 1 is space prestressed rope bar safe evaluation method flow chart, and with reference to shown in Fig. 1, space prestressed rope leverage is whole
Body safety evaluation method, comprises the following steps that：
(1) carry out space prestressed rope leverage Cable power and extent of corrosion detection, and to key node locus into
Row positioning.
(2) numerical analysis model of space prestressed rope leverage is established, considers the disconnected rope analysis of extent of corrosion：
1. establishing the numerical analysis model of structure, model analysis is carried out, after calculating, the extraction main vibration shape of two ranks is consolidated
There is frequency, solve Rayleigh damping constant；
2. applying initial strain according to the cable tension test result of each section of drag-line in space prestressed rope leverage, whole model is applied
Add Tuned mass damper coefficient, define time step, time step determines the original state of structure, carry out the 2nd calculating to model；
3. restarted based on the 2nd calculating of model, at the time of drag-line unit " dead " to be broken is set, weight
It is new to define time step and time step, carry out disconnected rope analysis successively to every drag-line in model.
(3) on the basis of the analysis of disconnected rope, based on analytic hierarchy process (AHP), the drag-line weight to considering extent of corrosion quantifies
Change analysis, determine：
1. it is F to have the rope force value of n roots drag-line in an initial condition in space prestressed rope leveragei(i=1,2 ..., n)；
2. it can be obtained according to the result of disconnected rope analysis, after a wherein Cable failure, in the rope of disconnected rope remaining drag-line of moment
Power meeting judder reaches new equilibrium state until structure, and the maximum in disconnected rope process for extracting each Cable power is Fij(j
=1,2 ..., n)；
3. maximum changing amplitudes of the η as Cable power is set, i.e.,After representing drag-line j fractures, drag-line i is vibrating
During maximum changing amplitude,After representing drag-line i fractures, maximum change width of the drag-line j in vibration processes
Degree；
4. according to ηiWith ηjSize differentiate the relative importance of drag-line i and drag-line j, build drag-line weight quantification meter
The judgment matrix of calculation, after carrying out consistency check, determines the weight of each Cable section.
(4) membership function of drag-line extent of corrosion differentiation is established, according to the testing result of drag-line extent of corrosion, judges every
The degree of membership of drag-line corrosion.
(5) it is four by the safety evaluation grade classification of space prestressed rope leverage, i.e. Cable system Comment gathers are：V=
{ safety, secondary safety is dangerous, dangerous }.
(6) the drag-line extent of corrosion that the drag-line weight coefficient matrix that step (3) analysis is drawn is drawn with step (4) is subordinate to
Matrix multiple is spent, draws fuzzy comprehensive evoluation vector B (B=WR).
(7) according to maximum membership degree criterion, the Comprehensive Evaluation vector B drawn based on step (6) analysis, is carried out space and in advance should
The overall security evaluation of power rope system.
Embodiment 1
By taking the mast suspension cable net system of Zhejiang University's Factors for Gymnasium Roof Structures steel construction as an example, drag-line in Cable system is only considered
Be broken influence to other Cable power, due to mast suspension cable net system be independent stretch-draw forming and by middle hoist cable with
The connection of lower part steel roofing, therefore, only establishes mast suspension cable net system this department pattern.Choose one in 4 masts
Root and its Suo Zuowei research objects being attached thereto, i.e., only consider drag-line S5-2, S5-1, S4-1, S3-3, S3-2, S3-1, S2-
1st, S2-2, and without considering other three masts and connected drag-line.Fracture order is S5-2, S5-1, S4- to drag-line successively
1st, S3-3, S3-2, S3-1, S2-1, S2-2, as shown in Figure 3.
(1) drag-line extent of corrosion and Cable power are given：
1. drag-line extent of corrosion (%) of table
| Drag-line is numbered | S5-2 | S5-1 | S4-1 | S3-3 | S3-2 | S3-1 | S2-1 | S2-2 |
| Extent of corrosion | 40.74% | 4.88% | 7.88% | 7.09% | 32.79% | 37.89% | 35.30% | 41.17% |
2. Cable power (kN) of table
| Rope is numbered | S5-2 | S5-1 | S4-1 | S3-3 | S3-2 | S3-1 | S2-1 | S2-2 |
| Rope force value | 1154.75 | 667.29 | 324.23 | 250.06 | 322.35 | 412.84 | 1117.42 | 1691.94 |
The membership function of drag-line extent of corrosion is as follows：
(2) according to the membership function of drag-line extent of corrosion, the single factor judgment matrix R under above-mentioned extent of corrosion is calculated.
(3) disconnected rope TRANSIENT DYNAMIC ANALYSIS is carried out, extracts most hawser power Fij of each rope section in disconnected rope analytic process, as a result
It is shown in Table 3.
Table 3. breaks the most hawser power (kN) of remaining each rope section during rope
(4) weight coefficient of each drag-line, structure weight vectors w are calculated
According to the maximum changing amplitude of table 2 and table 3, the respectively disconnected rope backstay of calculating, through comparing Judgement Matricies two-by-two
A：
Consistency check is carried out to judgment matrix A, it is known that the maximum eigenvalue λ of matrix Amax=8.9174, CR=0.0929
<0.10, illustrate that A meets consistency check, try to achieve the feature vector after the normalization of A.
The weight vectors for trying to achieve each rope section are：
W=[0.0809,0.0545,0.0452,0.0473,0.0793,0.0856,0.0824,0.5248]
(5) space prestressed rope leverage safety evaluation collection is built
Opinion rating is employed in security evaluation and reliability determination to judge the security of object or reliability.This hair
Bright reference《Standard for reliability evaluation of civil buildings》(GB50292-1999) safety grades for evaluating component are divided, by drag-line
The safety evaluation grade classification of rope system is four, and as shown in table 4, i.e. Cable system Comment gathers are：V=safety, secondary safety, no
Safety, dangerous.
4. Cable system safety status classification of table
| Grade | A | B | C | D |
| State description | Safety | Secondary safety | It is dangerous | It is dangerous |
(6) fuzzy comprehensive evoluation vector B=wR is calculated
(7) space prestressed rope leverage safe class evaluation
From maximum membership degree method, greatest measure 0.660 in fuzzy comprehensive evoluation vector B, then corrosion journey given herein above
The space prestressed rope leverage safety comprehensive evaluation result of degree is D grades, i.e., in the hole.
The above-mentioned embodiment technical solution that the invention is not limited in any way, it is every to use equivalent substitution or wait
The technical solution that the mode of effect conversion is obtained all falls within protection scope of the present invention.
Claims (4)
1. space prestressed rope leverage overall security evaluation method, it is characterised in that step is as follows：
(1) space prestressed rope leverage Cable power and extent of corrosion detection are carried out, and key node locus is determined
Position；
(2) numerical analysis model of space prestressed rope leverage is established, accounts for the disconnected rope analysis of extent of corrosion, implementation steps
It is as follows:
1. establishing the numerical analysis model of structure, model analysis is carried out, after calculating, the intrinsic frequency of the extraction main vibration shape of two ranks
Rate, solves Rayleigh damping constant；
2. applying initial strain according to the cable tension test result of each section of drag-line in space prestressed rope leverage, matter is applied to whole model
Damped coefficient is measured, defines time step, time step determines the original state of structure, the 2nd calculating is carried out to model；
3. restarted based on the 2nd calculating of model, it is again fixed at the time of drag-line unit " dead " to be broken is set
Adopted time step and time step, carry out every drag-line in model disconnected rope analysis successively；
(3) on the basis of the analysis of disconnected rope, based on analytic hierarchy process (AHP), the drag-line weight to considering extent of corrosion carries out quantification point
Analysis, obtains drag-line weight coefficient matrix；
(4) membership function of drag-line extent of corrosion differentiation is established, according to the testing result of drag-line extent of corrosion, judges every drag-line
The degree of membership of corrosion；
(5) the safety evaluation grade of space prestressed rope leverage is divided,；
(6) the drag-line extent of corrosion degree of membership square for drawing the drag-line weight coefficient matrix that step (3) analysis is drawn with step (4)
Battle array is multiplied, and draws fuzzy comprehensive evoluation vector B；
(7) according to maximum membership degree criterion, the Comprehensive Evaluation vector B drawn based on step (6) analysis, carries out space prestressed rope
It is overall security evaluation.
2. space prestressed rope leverage overall security evaluation method according to claim 1, it is characterised in that step (3)
Implementation steps it is as follows:
1. it is F to have the rope force value of n roots drag-line in an initial condition in space prestressed rope leveragei, wherein i=1,2, n；
2. it can be obtained according to the result of disconnected rope analysis, after a wherein Cable failure, in the Suo Lihui of disconnected rope remaining drag-line of moment
Judder reaches new equilibrium state until structure, and the maximum in disconnected rope process for extracting each Cable power is Fij, wherein j
=1,2, n；
3. setting maximum changing amplitudes of the η as Cable power, useRepresent that drag-line j is broken backstay i in vibration processes
Maximum changing amplitude,Represent maximum changing amplitudes of the drag-line i fractures backstay j in vibration processes；
4. according to ηiWith ηjSize differentiate the relative importance of drag-line i and drag-line j, structure drag-line weight quantification calculates
Judgment matrix, after carrying out consistency check, determines the weight of each Cable section.
3. space prestressed rope leverage overall security evaluation method according to claim 1, it is characterised in that step (5)
The middle safety evaluation grade classification by space prestressed rope leverage is level Four.
4. space prestressed rope leverage overall security evaluation method according to claim 3, it is characterised in that safety is commented
Valency grade divides into safe, secondary safe, dangerous and dangerous.
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