CN106321148A - Method for analyzing expansion and deformation of shield tunnel connector - Google Patents

Abstract

The invention discloses a method for analyzing expansion and deformation of a shield tunnel connector. The method includes: at least selecting one detecting point M from the inner surface of each tunnel segment; measuring the distance of the connecting line of the detecting points M of two adjacent tunnel segments to obtain an actual chord length L'; comparing the relation between the actual chord length L' and an original chord length L to judge the deformation state of the tunnel connector between the tunnel segments, wherein the tunnel connector is free of expansion when L'=L, the tunnel connector is in inward expansion when L'>L, and the tunnel connector is in outward expansion when L'<L. The method has the advantages that connector deformation detecting equipment does not need to be mounted, non-contact type nondestructive detection is achieved, errors caused by human subjectivity and connector damage are avoided, the connector deformation value can be obtained accurately under a condition of connector damage or small expansion angle, and low cost is achieved; the expansion conditions of connectors on the inner surface of a tunnel can be obtained, and the expansion conditions of connectors on the outer surface of the tunnel can be obtained.

Description

A kind of shield tunnel joint opens deformation analysis method

Technical field

The present invention relates to tunnel structure detection technique field, further relate to a kind of shield tunnel joint and open deformation Analysis method.

Background technology

Tunnel structure deformation is directly connected to vehicle and travels smooth degree and driving safety, and the joint distortion in tunnel is shield tunnel Road deforms modal form.Joint distortion causes the deformation of tunnel overall structure, and can produce seam leak, segment damage etc. Disease, has a strong impact on the health status of tunnel structure, and therefore, tunnel joint distortion disease and assessment are the weights of tunnel health evaluating Want ingredient.

Traditional shield joint distortion assessment is main uses method measured directly, and the most traditional mode is by people's eyes Measuring duct piece connector deformation depending on estimation, ruler, subjectivity is relatively big, precision is the lowest.Also the both sides at joint are had to be respectively mounted displacement Measurement apparatus, detection tabs both sides change in displacement calculates the joint stretching value of section of jurisdiction.Also have in joint, arrange embedded steel wire bullet The rubber tube of spring, indirectly obtains the deflection of joint according to the change of rubber tube inner volume.Owing to having number in shield tunnel Duct piece connector in terms of ten thousand, direct detecting method exists costly, inefficient problem, and the most loaded down with trivial details during practical operation, It is unfavorable for quickly measuring.

Therefore, how to design and a kind of measure the duct piece connector deformation detection method that process is simple and quick, be current this area Technical staff's technical issues that need to address.

Summary of the invention

The present invention provides a kind of shield tunnel joint to open deformation analysis method, it is possible to avoids the error of subjective measurement, surveys Quick and precisely, testing cost is low for amount process, is possible not only to obtain the joint splayed condition of inner surface of tunnel, and can obtain tunnel The joint splayed condition of outer surface.

A kind of shield tunnel joint opens deformation analysis method, including:

A test point M is at least chosen from every piece of tunnel duct piece inner surface；

Measure the distance between described test point M on two pieces of adjacent described tunnel duct pieces, obtain actual chord length L ＇；

The relatively relation between described actual chord length L ＇ and original chord length L, it is judged that tunnel joint between described tunnel duct piece Deformation state；As L ＇=L, described tunnel joint is without opening phenomenon；As L ＇ > L, described tunnel joint opens in being；As L ＇ < L, Described tunnel joint is for open outward.

Alternatively, described test point M is chosen at the central point of every piece of described tunnel duct piece inner surface.

Alternatively, opening in described tunnel joint is, open-angle Δ θ calculates as follows:

$\mathrm{\&Delta;}\mathrm{\&theta;}=arccos\frac{A+B-L^{\&prime;2}}{2\sqrt{A}\sqrt{B}}-arccos\frac{A+B-L^2}{2\sqrt{A}\sqrt{B}}$

Wherein,α, β are respectively adjacent two described tunnels The central angle of section of jurisdiction, road, r is the inside radius of described tunnel duct piece, and R is the outer radius of described tunnel duct piece.

Alternatively, when described tunnel joint is for open outward, and open-angle Δ θ calculates as follows:

$\mathrm{\&Delta;}\mathrm{\&theta;}=\arccos \frac{C^2+D^2-L^2}{2CD}-\arccos \frac{C^2+D^2-L^{\&prime;2}}{2CD}$

Wherein,α, β are respectively the central angle of adjacent two described tunnel duct pieces, r For the inside radius of described tunnel duct piece, R is the outer radius of described tunnel duct piece.

Alternatively, described actual chord length L ＇ is by total powerstation, three-dimensional laser scanner, infrared video camera or theodolite testing Obtain.

Alternatively, described original chord length L obtains according to structure design or surveys after tunnel completion obtaining.

The invention provides a kind of shield tunnel joint and open deformation analysis method, comprise the following steps: from every piece of tunnel A test point M is at least chosen on the inner surface of section of jurisdiction；Connect the test point M on adjacent two sections of jurisdiction, measure adjacent two plot tunnel The distance of test point M line on section of jurisdiction, road, obtains actual chord length L ＇；The relatively relation between actual chord length L ＇ and original chord length L, Judge the deformation state of tunnel joint between tunnel duct piece；As L ＇=L, tunnel joint is without opening phenomenon；When L ＇ > L, tunnel joint Open for interior；As L ＇ < L, tunnel joint is for open outward.

The present invention is without erection joint deformation detection equipment, it is achieved contactless Non-Destructive Testing, it is to avoid the subjectivity of people With during joint failure produce error, in the case of joint failure or open-angle are less, it is also possible to accurately obtain joint distortion Value, low cost.It is made without great amount of images treatment technology, without complicated algorithm, application, there is specific aim, be possible not only to obtain tunnel The joint splayed condition of road inner surface, and the joint splayed condition of tunnel outer surface can be obtained.

Accompanying drawing explanation

In order to be illustrated more clearly that the embodiment of the present invention or technical scheme of the prior art, below will be to embodiment or existing In having technology to describe, the required accompanying drawing used is briefly described, it should be apparent that, the accompanying drawing in describing below is only this Some embodiments of invention, for those of ordinary skill in the art, on the premise of not paying creative work, it is also possible to Other accompanying drawing is obtained according to these accompanying drawings.

Shown in Fig. 1, the shield tunnel joint provided for the present invention opens the flow chart of deformation analysis method；

Fig. 2 is that two adjacent tunnel duct pieces are without the structural representation under open configuration；

Fig. 3 is the structural representation in two adjacent tunnel duct pieces under open configuration；

Fig. 4 is the structural representation under the outer open configuration of two adjacent tunnel duct pieces；

Fig. 5 is that tunnel is without the overall structure schematic diagram under deformation state；

Fig. 6 is the overall structure schematic diagram under tunnel deformation state.

Detailed description of the invention

The core of the present invention is to provide a kind of shield tunnel joint to open deformation analysis method, it is possible to avoid subjective measurement Error, measure process quick and precisely, testing cost is low, is possible not only to obtain the joint splayed condition of inner surface of tunnel, and The joint splayed condition of tunnel outer surface can be obtained.

In order to make those skilled in the art be more fully understood that technical scheme, below in conjunction with accompanying drawing and concrete Embodiment, the shield tunnel joint of the application is opened deformation analysis method and is described in detail explanation.

As it is shown in figure 1, the shield tunnel joint provided for the present invention opens the flow chart of deformation analysis method.A kind of shield Tunnel joint opens deformation analysis method, comprises the following steps: S1, choose test point M from every piece of tunnel duct piece inner surface, can Be one, two or more.S2, measure the distance between test point M on adjacent two piece tunnel duct piece, obtain actual chord length L ＇, usually, chooses a test point M on every piece of tunnel duct piece, connects the detection on adjacent two tunnel duct piece Point M, measures and obtains actual chord length L ＇, if choosing multiple different test point M, can detect and obtaining multiple actual chord length L ＇, available In checking accuracy.S3, relation between comparison actual chord length L ＇ and original chord length L, it is judged that tunnel joint between tunnel duct piece Deformation state: as L ＇=L, tunnel joint is without opening phenomenon；As L ＇ > L, tunnel joint opens in being；When L ＇ < L, tunnel joint For opening outward.As shown in Figures 2 to 4, represent respectively two adjacent tunnel duct pieces without opening, in open and outer open configuration Under structural representation, wherein, p₁₁、p₁₂、p₁₃、p₁₄It is respectively left side four drift angles of tunnel duct piece, p₁₂、p₁₄For outside two Drift angle, p₂₁、p₂₂、p₂₃、p₂₄It is respectively four drift angles of right side tunnel duct piece, p₂₂、p₂₄Two drift angles for outside.Just do not open It is p₁₁With p₂₁、p₁₂With p₂₂It is close to respectively；Inside open is exactly p₁₂With p₂₂It is close to, p₁₁With p₂₁Separate；Open outward is exactly p₁₁With p₂₁Tightly Patch, p₁₂With p₂₂Separate.

The present invention is different from traditional direct measuring method, it is not necessary to erection joint deformation detection equipment, for contactless nothing Damage detection method, it is to avoid the subjectivity of people and the high problem of testing cost.Take a little at inner surface of tunnel, it is to avoid joint failure Time produce error.In the case of joint failure or open-angle are less, it is also possible to accurately obtain joint distortion value.Without in a large number Image processing techniques, do not have complicated algorithm, application to have specific aim, there is efficiency feature high, more generalization.Except this it Outward, it is possible not only to obtain the joint splayed condition of inner surface of tunnel, and the joint splayed condition of tunnel outer surface can be obtained.

On the basis of the above, test point M is chosen at the central point of every piece of tunnel duct piece inner surface.The position of central point more holds Easily determine, and be positioned on the plane of symmetry of tunnel duct piece, be beneficial to simplify calculating.It should be noted that the present invention connects adjacent two The straight line that on individual tunnel duct piece, test point M is formed is vertical with the axis in tunnel, facilitates subsequent calculations process.As it is shown in figure 5, this Bright it is provided with six pieces of tunnel duct pieces, is respectively labeled as 1,2,3,4,5,6, at each tunnel duct piece Selection Center point, labelling respectively For M₁、M₂、M₃、M₄、M₅、M₆, No. 1 tunnel duct piece correspondence M₁, by that analogy.Connect M respectively₁And M₂、M₂And M₅、M₅And M₆、M₆With M₄、M₄And M₃、M₃And M₁, above-mentioned line represents original chord length L.As shown in Figure 6, overall structure figure when deforming for shield tunnel. Connect M ＇ respectively₁With M ＇₂, M ＇₂With M ＇₅, M ＇₅With M ＇₆, M ＇₆With M ＇₄, M ＇₄With M ＇₃, M ＇₃With M ＇₁, above-mentioned line represents actual string Long L ＇.

After the judgement completing step S3 and completing open configuration, carry out step S4, right according to chord length L and open-angle Δ θ Should be related to, obtain open-angle.

Specifically, the present invention gives the corresponding relation of a kind of chord length and open-angle:

1) when tunnel joint is without opening phenomenon, open-angle Δ θ=0.

2) opening in tunnel joint is, open-angle Δ θ with the relation of chord length is:

$\mathrm{\&Delta;}\mathrm{\&theta;}=arccos\frac{A+B-L^{\&prime;2}}{2\sqrt{A}\sqrt{B}}-arccos\frac{A+B-L^2}{2\sqrt{A}\sqrt{B}}$

Wherein,α, β are respectively adjacent two tunneltrons The central angle of sheet, r is the inside radius of tunnel duct piece, and R is the outer radius of tunnel duct piece.

Subtended angle and chord length between the analytic derivation of relation be given below:

$M_1{P_{12}}^2=R^2+r^2-2Rrcos\frac{\mathrm{\&alpha;}}{2}$

$M_2{P_{22}}^2=R^2+r^2-2Rrcos\frac{\mathrm{\&beta;}}{2}$

Order

Before deformation:

$cos\&angle;M_1{P}_{12}\left(P_{22}\right)M_2=\frac{M_1{P_{12}}^2+M_2{P_{22}}^2-L^2}{2M_1{P}_{12}{M}_2{P}_{22}}==\frac{A+B-L^2}{2\sqrt{A}\sqrt{B}}$

$\&angle;M_1{P}_{12}\left(P_{22}\right)M_2=arccos\frac{A+B-L^2}{2\sqrt{A}\sqrt{B}}$

After deformation:

$cos\&angle;M_1{P}_{12}\left(P_{22}\right){M_2}^{\&prime;}=\frac{M_1{P_{12}}^2+M_2{P_{22}}^2-L^{\&prime;2}}{2M_1{P}_{12}{M}_2{P}_{22}}==\frac{A+B-L^{\&prime;2}}{2\sqrt{A}\sqrt{B}}$

$\&angle;M_1{P}_{12}\left(P_{22}\right){M_2}^{\&prime;}=arccos\frac{A+B-L^{\&prime;2}}{2\sqrt{A}\sqrt{B}}$

$\begin{array}{c}\mathrm{\&Delta;}\mathrm{\&theta;}=\&angle;M_1{P}_{12}\left(P_{22}\right){M_2}^{\&prime;}-\&angle;M_1{P}_{12}\left(P_{22}\right)M_2\\ =\arccos \frac{A+B-L^{\&prime;2}}{2\sqrt{A}\sqrt{B}}-\arccos \frac{A+B-L^2}{2\sqrt{A}\sqrt{B}}\end{array}$

In formula, α, β are respectively the central angle of adjacent two tunnel duct pieces, and r is the inside radius of tunnel duct piece, and R is tunneltron The outer radius of sheet, Δ θ is two section of jurisdiction open-angles.

3) when tunnel joint is for open outward, open-angle Δ θ with the relation of chord length is:

$\mathrm{\&Delta;}\mathrm{\&theta;}=arccos\frac{C^2+D^2-L^2}{2CD}-arccos\frac{C^2+D^2-L^{\&prime;2}}{2CD}$

Wherein,α, β are respectively the central angle of adjacent two tunnel duct pieces, and r is tunnel The inside radius of section of jurisdiction, road, R is the outer radius of tunnel duct piece.

Subtended angle and chord length between the analytic derivation of relation be given below:

During L ＞ L ', tunnel joint is that outer shown in Fig. 3 opens:

$M_1{P}_{11}=2rsin\frac{\mathrm{\&alpha;}}{4}$

$M_2{P}_{21}=2rsin\frac{\mathrm{\&beta;}}{4}$

Order

Before deformation:

$\cos \&angle;M_1{P}_{11}\left(P_{22}\right)M_2=\frac{M_1{P_{11}}^2+M_2{P_{21}}^2-L^2}{2M_1{P}_{11}{M}_2{P}_{21}}=\frac{C^2+D^2-L^2}{2CD}$

$\&angle;M_1{P}_{11}\left(P_{22}\right)M_2=arccos\frac{C^2+D^2-L^2}{2CD}$

After deformation:

$cos\&angle;M_1{P}_{11}\left(P_{22}\right){M_2}^{\&prime;}=\frac{M_1{P_{11}}^2+M_2{P_{21}}^2-L^{\&prime;2}}{2M_1{P}_{11}{M}_2{P}_{21}}=\frac{C^2+D^2-L^{\&prime;2}}{2CD}$

$\&angle;M_1{P}_{11}\left(P_{22}\right){M_2}^{\&prime;}=arccos\frac{C^2+D^2-L^{\&prime;2}}{2CD}$

$\begin{array}{c}\mathrm{\&Delta;}\mathrm{\&theta;}=\&angle;M_1{P}_{11}\left(P_{22}\right)M_2-M_1{P}_{11}\left(P_{22}\right){M_2}^{\&prime;}\\ =arccos=\frac{C^2+D^2-L^2}{2CD}-\arccos \frac{C^2+D^2-L^{\&prime;2}}{2CD}\end{array}$

In formula, α, β are respectively the central angle of adjacent two tunnel duct pieces 1, and r is the inside radius of tunnel duct piece 1, and R is tunnel The outer radius of section of jurisdiction 1, Δ θ is two section of jurisdiction open-angles.

In any of the above-described technical scheme and on the basis of being mutually combined, actual chord length L ＇ passes through total powerstation, three-dimensional laser The modes such as scanner, infrared video camera or theodolite carry out detection and obtain.

Similarly, original chord length L can obtain according to structure design or survey after tunnel completion obtaining.

Based on above-mentioned principle, the present invention provides a kind of concrete example at this:

Certain city underground shield tunnel includes six pieces of sections of jurisdiction: one piece of block that binds, two pieces of adjacent block, three pieces of calibrated bolcks.Section of jurisdiction Inside radius r=2.75m, section of jurisdiction outer radius R=3.1m.

Design according to structure, chord length original length: L between each section of jurisdiction₁₂=1.9036438m, L₂₅=2.9551478m, L₅₆ =3.3291169m, L₆₄=3.3291169m, L₄₃=2.9551478m, L₃₁=1.9036438m.

When shield tunnel construction occurs malformation as shown in Figure 6, by total powerstation, three-dimensional laser scanner, infrared The detection method such as video camera, theodolite, it is possible to obtain the actual chord length value between each section of jurisdiction after tunnel structure deformation: L₁₂'= 1.8960267m, L₂₅'=2.9590328m, L₅₆'=3.3250023m, L₆₄'=3.3360245m, L₄₃'=2.9442954m, L₃₁'=1.9137885m.

Thus can obtain: L₁₂＞ L '₁₂, L₂₅＜ L₂₅', L₅₆＞ L₅₆', L₆₄＜ L₆₄', L₄₃＞ L₄₃', L₃₁＜ L₃₁′

Obtain according to above-mentioned computing formula: Δ θ₁₂=3.7305286 °；Δθ₂₅=0.2858057 °；Δθ₅₆= 0.4250966°；Δθ₆₄=0.4411152 °；Δθ₄₃=1.4138873 °；Δθ₃₁=1.3016645 °.

Wherein, Δ θ₁₂It is the open-angle between No. 1 tunnel duct piece and No. 2 tunnel duct pieces, Δ θ₂₅It is No. 2 tunnel duct pieces and No. 5 Open-angle between tunnel duct piece, Δ θ₅₆It is the open-angle between No. 5 tunnel duct pieces and No. 6 tunnel duct pieces, Δ θ₆₄It is No. 6 tunneltrons Open-angle between sheet and No. 4 tunnel duct pieces, Δ θ₄₃It is the open-angle between No. 4 tunnel duct pieces and No. 3 tunnel duct pieces, Δ θ₃₁It it is No. 3 Open-angle between tunnel duct piece and No. 1 tunnel duct piece.

Described above to the disclosed embodiments, makes professional and technical personnel in the field be capable of or uses the present invention. Multiple amendment to these embodiments will be apparent from for those skilled in the art, as defined herein General Principle, can realize without departing from the spirit or scope of the present invention in other embodiments.Therefore, this The bright the embodiments shown herein that is not intended to be limited to, and be to fit to and principles disclosed herein and features of novelty phase The widest consistent scope.

Claims (6)

1. a shield tunnel joint opens deformation analysis method, it is characterised in that including:

A test point M is at least chosen from every piece of tunnel duct piece inner surface；

Measure the distance between described test point M on two pieces of adjacent described tunnel duct pieces, obtain actual chord length L ＇；

The relatively relation between described actual chord length L ＇ and original chord length L, it is judged that the change of tunnel joint between described tunnel duct piece Shape state；As L ＇=L, described tunnel joint is without opening phenomenon；As L ＇ > L, described tunnel joint opens in being；As L ＇ < L, described Tunnel joint is for open outward.

Shield tunnel joint the most according to claim 1 opens deformation analysis method, it is characterised in that described test point M It is chosen at the central point of every piece of described tunnel duct piece inner surface.

Shield tunnel joint the most according to claim 2 opens deformation analysis method, it is characterised in that when described tunnel connects Head opens in being, open-angle Δ θ calculates as follows:

$\mathrm{\&Delta;}\mathrm{\&theta;}=arccos\frac{A+B-L^{\&prime;2}}{2\sqrt{A}\sqrt{B}}-arccos\frac{A+B-L^2}{2\sqrt{A}\sqrt{B}}$

Wherein,α, β are respectively adjacent two described tunneltrons The central angle of sheet, r is the inside radius of described tunnel duct piece, and R is the outer radius of described tunnel duct piece.

Shield tunnel joint the most according to claim 2 opens deformation analysis method, it is characterised in that when described tunnel connects Head is for open outward, and open-angle Δ θ calculates as follows:

$\mathrm{\&Delta;}\mathrm{\&theta;}=arccos\frac{C^2+D^2-L^2}{2CD}-arccos\frac{C^2+D^2-L^{\&prime;2}}{2CD}$

Wherein,α, β are respectively the central angle of adjacent two described tunnel duct pieces, and r is institute Stating the inside radius of tunnel duct piece, R is the outer radius of described tunnel duct piece.

5. open deformation analysis method according to the shield tunnel joint described in any one of Claims 1-4, it is characterised in that institute State actual chord length L ＇ to be obtained by total powerstation, three-dimensional laser scanner, infrared video camera or theodolite testing.

Shield tunnel joint the most according to claim 5 opens deformation analysis method, it is characterised in that described original chord length Survey after L obtains according to structure design or tunnel is completed and obtain.