CN104018845B - Definite method of the minimum level radius of turn of open type TBM - Google Patents
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Abstract
The definite method that the invention discloses the minimum level radius of turn of a kind of open type TBM, comprising: step 1, obtains the preliminary minimum level radius of turn of described TBM according to the stroke of the support boots cylinder of described TBM; Step 2, checks and revises preliminary minimum level radius of turn. Definite method of the open type TBM flat bank radius that the present invention proposes has realized the quick accurate Calculation of open type TBM minimum level radius of turn, can effectively assess design, avoid occurring that design does not meet the problem of construction requirement, and provide guidance for the optimal design of TBM.
Description
Technical field
The present invention relates to underground engineering field, specifically, relate to the minimum level radius of turn of a kind of open type TBMDefinite method.
Background technology
Complete-section tunnel boring machine (TunnelBoringMachine, be called for short TBM) can realize propellings simultaneously, breaks rock,The operation of the constructing tunnel such as muck removal, supporting, has fast, the outstanding advantages such as high-quality, safety, economy, environmental protection, water conservancy,In the Tunnel Engineering such as electric power, railway, coal, mine, traffic, subway and city underground engineering, obtain more and more widelyApplication.
In tunnel line design, because a variety of causes inevitably exists curved section on horizontal plane, this just requires TBMCan be according to the curve of a certain radius of curvature driving of turning in work progress. Open type TBM in tunneling process,Rely on self supporting mechanism (support boots) stretching hole wall to bear reaction force and the countertorque of pushing ahead. Both domestic and external at presentTBM, in the connection of support boots cylinder intermediate structure and saddletree, design all adopts cross bearing pin " support boots float " structure, andThe support boots cylinder of both sides can arrange different elongation (contraction) amount, and such structure makes TBM in the time of driving, have turningAbility.
But the min. turning radius that TBM can realize is specifically how many, generally can only be according to experience or by drawing notAccurate schematic diagram is estimated. For common tunnel, the radius of curvature of its designed lines larger (mostly 350m withOn), for open type TBM, easily reach the requirement of the min. turning radius of expectation, therefore this estimation can'tBring larger problem. But for example, in some in particular cases (tunnel, colliery), tunnel line exists radius of curvature very littleSection (for example 40m), if now still adopt the method for estimation, may cause actual production TBM out not reachThe requirement of the min. turning radius of estimating, causes and designs unsuccessfully, brings huge economic loss.
Therefore, how to address the above problem, the min. turning radius of accurately calculating open type TBM is that industry is endeavouredOne of problem.
Summary of the invention
One of technical problem to be solved by this invention is the minimum level radius of turn that a kind of open type TBM need to be providedDetermine method, the method can accurately calculate the min. turning radius of open type TBM.
In order to solve the problems of the technologies described above, the invention provides a kind of open type TBM minimum level radius of turn determineMethod, comprising: step 1, obtains the preliminary minimum level of described TBM according to the stroke of the support boots cylinder of described TBMRadius of turn; Step 2, checks and revises preliminary minimum level radius of turn.
In one embodiment, in described step 2, utilize first condition, second condition, Article 3 part to preliminary minimumFlat bank radius checks and revises, and wherein, described first condition makes for obtained minimum level radius of turnThe girder of TBM and support boots cylinder are can shape at a certain angle; Described second condition is obtained minimum level radius of turnMake afterbody and the hole wall of girder of TBM non-interference; Described Article 3 part makes for obtained minimum level radius of turnThe cutterhead and the tunnel that obtain TBM are non-interference, and the amount of movement of the limit cutter of described cutterhead can not exceed predetermined value.
In one embodiment, tunnel in the changeover portion from straight line circuit to curve circuit at described open type TBMTime, described step 1 comprises the following steps: determine that described TBM is by the required driving step number of described changeover portion; Determine instituteState angle that TBM turns at the initial time of described changeover portion and the relation of described minimum level radius of turn, and described inThe angle that TBM turns at the initial time of described changeover portion and TBM tunnel stroke after entering described changeover portion at every turnThe relation that turns over angle; The axis accumulation of the described TBM of definite initial time that tunnels the last time stroke turns overThe relation of the angle that angle and described TBM turn at the initial time of described changeover portion; With the support boots cylinder of described TBMOutwards extended travel is the limit, and the axis of determining described TBM is accumulated the angle that turns over and described minimum level radius of turnRelation; Obtain the preliminary minimum level radius of turn of described TBM based on described driving step number and each relation.
In one embodiment, determine that by following formula described TBM is by the required driving step number of described changeover portion,
Wherein, Ceiling function representation is not less than the smallest positive integral of certain number, and d represents to tunnel the distance of stroke, and Ldp representsThe front panel of cutterhead is to the distance of the strong point, and Lcx represents the distance of Cheng Xue center to the strong point.
In one embodiment, utilize following formula to determine what described TBM turned at the initial time of described changeover portionThe relation of angle θ and described minimum level radius of turn Rmin,
Utilize angle θ and the TBM that following formula determines that described TBM turns at the initial time of described changeover portion to existEnter the described changeover portion relation that turns over angle [alpha] of each driving stroke afterwards,
α=2θ,
Wherein, d represents to tunnel the distance of stroke.
In one embodiment, utilize following formula to determine to tunnel the last time stroke initial time described inThe axis of TBM is accumulated the pass of the angle θ that the angle beta that turns over and described TBM turn at the initial time of described changeover portionSystem,
β=(2N-1)θ,
Wherein, N represents to tunnel step number.
In one embodiment, utilize following formula determine the axis of described TBM accumulate the angle beta that turns over described inThe relation of minimum level radius of turn Rmin,
Wherein, Dxw represents the stroke that the support boots cylinder of described TBM outwards extends, and N represents to tunnel step number, and α represents TBMAfter entering described changeover portion the initial time of each driving stroke turn over angle, Lcx represents that Cheng Xue center is to supportingThe distance of point.
In one embodiment, under the state tunneling in being entirely curve circuit at described open type TBM, instituteStating step 1 comprises the following steps: determine respectively girder and the support of described TBM under minimum level radius of turn and original stateThe relation of the angle of boots cylinder, described minimum level radius of turn and described TBM are in the pass that turns over angle of each driving strokeSystem; Taking the outside extended travel of the support boots cylinder of described TBM as the limit, determine girder and the support boots of TBM under original stateThe angle of cylinder and TBM are in these two angles that turn over angle of each driving stroke and the pass of described minimum level radius of turnSystem; Each relation based on obtained obtains the preliminary minimum level radius of turn of described TBM.
In one embodiment, utilize following formula to represent under described minimum level radius of turn Rmin and original stateThe relation of the angle γ of the girder of described TBM and support boots cylinder,
Utilize following formula to represent that described minimum level radius of turn Rmin and described TBM are at each driving strokeTurn over the relation of angle [alpha],
Wherein, Lcx represents the distance of Cheng Xue center to the strong point, and d represents to tunnel the distance of stroke.
In one embodiment, utilize following formula to represent that angle γ and these two angles of angle [alpha] and minimum level turnThe relation of radius R min,
Wherein, Lcx represents the distance of Cheng Xue center to the strong point, and Dxw represents that the support boots cylinder of described TBM outwards extendsStroke.
Compared with prior art, one or more embodiment of the present invention can have the following advantages by tool:
Definite method of the open type TBM flat bank radius that the present invention proposes has excellent as follows with respect to existing estimation algorithmPoint: the first, realize the quick accurate Calculation of open type TBM minimum level radius of turn; The second, can be effectively to establishingMeter scheme is assessed, and avoids occurring that design does not meet the problem of construction requirement; The 3rd, obtain min. turning radius and manyThe quantitative relationship of individual parameter, can provide guidance for the optimal design of TBM.
Other features and advantages of the present invention will be set forth in the following description, and, partly from description, become aobviousAnd easily see, or understand by implementing the present invention. Object of the present invention and other advantages can be by wanting in description, rightAsk specifically noted structure in book and accompanying drawing to realize and obtain.
Brief description of the drawings
Accompanying drawing is used to provide a further understanding of the present invention, and forms a part for description, with embodiments of the inventionJointly, for explaining the present invention, be not construed as limiting the invention. In the accompanying drawings:
Fig. 1 is the Sketch schematic diagram of open type TBM;
Fig. 2 is illustrated in the first situation, and at the initial time of changeover portion, the girder of TBM rotates θ angle around the strong pointSchematic diagram;
Fig. 3 is illustrated in and enters changeover portion phase of boring for the first time afterwards, and the driving stroke that TBM is described is d, the strong pointThe track of walking is that the angle of the corresponding central angle in the polygonal one side of tunnel line is α (this angle and the angle that turns over described laterSize identical) schematic diagram;
Fig. 4 is illustrated in the initial time that tunnels for the second time stroke, and what the angle that the girder of TBM rotates around the strong point was α showsIntention;
Fig. 5 is illustrated in the initial time of last driving stroke, and the angle that the girder of TBM rotates around the strong point is αSchematic diagram;
Fig. 6 is illustrated under the original state of the second situation, and the girder of TBM and support boots cylinder form the schematic diagram that angle is γ;
Fig. 7 is illustrated in the initial time of driving stroke, the schematic diagram that the angle that the girder of TBM rotates around the strong point is α;
Fig. 8 was illustrated in the stage that the girder of TBM tunnels forward, and the driving stroke that TBM is described is d, strong point instituteThe schematic diagram that the angle of walking track and be the corresponding central angle in the polygonal one side of tunnel line is α;
In figure: 1-supports boots, 2-support boots cylinder, 3-girder, 4-shield, 5-cutterhead.
Detailed description of the invention
For making the object, technical solutions and advantages of the present invention clearer, do detailed further below in conjunction with accompanying drawing to the present inventionDescribe in detail bright. It should be noted that, in order to make TBM high-visible in the process of turning, the ratio of each part dimension in accompanying drawingNot pressing actual ratio draws.
Definite method of minimum level radius of turn of the present invention comprises TBM computational methods in both cases, the firstSituation is the state that TBM tunnels in the changeover portion from straight line circuit to curve circuit, and the second situation is TBMThe state tunneling in pure curve circuit.
The first embodiment
The present embodiment is that minimum level radius of turn how to calculate TBM in the first situation is described.
Fig. 1 is the Sketch schematic diagram of TBM, and as shown in Figure 1, TBM mainly comprises support boots 1, support boots cylinder 2, mainBeam 3, shield 4 and cutterhead 5.
For the TBM tunneling to curve circuit changeover portion from straight line, it is final in the tunneling process of curved sectionThe ideal situation of the tunnel center line forming is the polygon that is connected to this curve in. And TBM needs in the time of drivingEnsure that the strong point (center of bottom shield 4) is all the time on this polygon.
It should be noted that, the initial time of this changeover portion is the moment that the strong point reaches straightway and curved section points of tangency, mistakeThe termination moment of the section of crossing is the moment that support boots arrive straightway and curved section points of tangency.
Before how detailed description calculates minimum level radius of turn, first illustrate that referring to figs. 2 to Fig. 5 TBM is turningTime driving step.
In Fig. 2, solid outline schematically shows the TBM before rotation, dotted outline schematically show turn over a certainTBM after angle θ. At the initial time of this changeover portion, TBM is taking its strong point as pivot, and its girder 3 is around propping upSupport point is rotated an angle θ (step 1).
Then, as shown in Figure 3, TBM is entering after changeover portion, while driving for the first time, makes the driving of TBM capableThe distance of journey is d. In tunneling process, the tunneling direction of TBM remains unchanged, and the path that now strong point is passed by is curveCertain of inscribed polygon is (step 2) on one side, and corresponding central angle size is α.
Then,, after a driving stroke, the support boots 1 of TBM are regained, reset and then stretching hole wall, with stepOne is similar, and TBM is tunneling the initial time of stroke for the second time, and its girder 3 rotates an angle [alpha] (step around support point againThree), varying in size (as shown in Figure 4) of this angle [alpha] size and angle θ.
Finally, repeated execution of steps two and step 3, until support boots 1 are while arriving the points of tangency of straightway and curved section, recognizedFor having completed the driving of changeover portion, as shown in Figure 5.
According to above-mentioned steps and Fig. 2 to Fig. 5, the present inventor recognizes, turns if obtain a certain minimum levelCurved radius, must meet the following conditions: condition 1, the minimum level radius of turn obtaining makes the support boots cylinder of TBMIt is enough large that stroke is wanted; Condition 2, the minimum level radius of turn obtaining is not done afterbody and the hole wall of the girder of TBMRelate to; Condition 3, the minimum level radius of turn obtaining makes the girder of TBM and support boots cylinder can shape at a certain angle;Condition 4, the minimum level radius of turn obtaining is not interfered the cutterhead of TBM and tunnel, and the moving of the limit cutter of cutterheadMomentum can not excessive (can not exceed predetermined value).
The present inventor passes through to analyze, and recognizes in these factors, and the most implacable is condition 1, supports boots cylinderStroke want enough greatly. And the design of the float support of cross bearing pin has ensured that certain rotation can occur for girder and support boots cylinder(condition 2,3). Cutterhead and the tunnel condition such as do not interfere can solve by backbreaking etc. (condition 4). Therefore, forStraight line, to the situation of curve circuit transition, provides the method for following calculating minimum level radius of turn: first according to designThe stroke (being condition 1) of support boots cylinder obtains preliminary minimum level radius of turn value, recycling condition 2, condition 3 and barPart 4 checks and revises the minimum level radius of turn obtaining.
Particularly, first the driving stroke based on TBM determines that TBM is N by the required driving step number of this changeover portion.Can obtain N by following formula (1) in the present embodiment:
Wherein, Ceiling function representation is not less than the smallest positive integral of certain number, and d represents to tunnel the distance of stroke, and Ldp representsThe front panel of cutterhead is to the distance (with reference to figure 1) of the strong point, and Lcx represents the distance (reference of Cheng Xue center to the strong pointFig. 1).
Then, determine angle θ that TBM turns at the initial time of changeover portion and the pass of minimum level radius of turn RminSystem, and the angle θ that turns at the initial time of changeover portion of TBM and TBM entering changeover portion after each driving capableThe relation that turns over angle [alpha] of journey. According to the geometrical relationship in Fig. 2 and Fig. 4, obtain following formula (2) and (3):
α=2θ(3)
Then the axis of, determining the TBM of the initial time that tunnels the last time stroke is accumulated the angle beta and the TBM that turn overThe relation of the angle θ turning at the initial time of changeover portion. TBM tunnels the state of initial time the last time as Fig. 5Shown in, now TBM axis is accumulated the angle beta turning over and can be obtained by following expression:
β=(N-1)α+θ=(2N-1)θ(4)
In addition, because girder 3 skew has occurred the center of support boots cylinder 2 relatively, this side-play amount need to be passed through two side stay boots cylindersCompensate with different elongations, the support boots cylinder of a side shrinks this side-play amount, and the support boots cylinder of opposite side extends this side-play amount.Because the outside extended travel of the support boots cylinder of general open type TBM is all less than inside retraction stroke, therefore calculate minimum waterWhen plate turn radius using the stroke of the outside elongation of the support boots cylinder of TBM as the limit. From the geometrical relationship in Fig. 5,Can determine that the axis of TBM accumulates the angle that turns over and the relation of minimum level radius of turn by following expression:
Wherein, Dxw represents to support the outwards distance of the stroke of elongation of boots cylinder.
Finally, can solve and obtain minimum level radius of turn R by simultaneous expression formula (1)~(5)minValue, then profitVerify by condition 2, condition 3 and condition 4.
In sum, the embodiment of the present invention propose open type TBM minimum level radius of turn definite method with respect toExisting estimation algorithm tool has the following advantages: the first, realize accurately counting fast of open type TBM minimum level radius of turnCalculate; The second, can effectively assess design, avoid occurring that design does not meet the problem of construction requirement; The 3rd,Obtain the quantitative relationship of minimum level radius of turn and multiple parameters, can provide guidance for the optimal design of TBM.
The second embodiment
The present embodiment is that minimum level radius of turn how to calculate TBM in the second situation is described.
For the situation of pure curve circuit driving, itself and similar to curve circuit changeover portion tunneling process from straight line, finalThe tunnel center line ideal situation forming is also the polygon that is connected to this curve in. And TBM needs equally in the time of drivingEnsure that the strong point (center of bottom shield 4) is all the time on this polygon.
It should be noted that, owing to tunneling in pure curve, therefore tunneling process is a process constantly repeating, at the beginning of not existingBegin moment and termination moment.
Before describing the minimum level radius of turn of how calculating in this situation in detail, first say in detail with reference to figure 6 to Fig. 8The driving step of bright TBM in turning process.
As shown in Figure 6, under original state, the girder of TBM and support boots cylinder form certain angle γ (step 1).
Then, as shown in Figure 7, TBM starts driving, and in tunneling process, the tunneling direction of TBM remains unchanged, thisTime the strong point path of passing by be inscribed to curves polygonal certain on one side, the angular dimension that the girder of TBM rotates around the strong pointFor α (step 2).
Again, after a driving stroke, the support boots 1 of TBM are regained, reset and then stretching hole wall, get back to stepOriginal state in rapid one, then repeated execution of steps one and step 2, until this curved section driving task completes.
In this kind of situation, the restrictive condition of minimum level radius of turn and from straight line to curve circuit changeover portion tunneling process phaseWith, therefore calculate thinking also identical.
For TBM structural parameters, carry out the setting identical with the first embodiment.
First determine respectively the girder of TBM under minimum level radius of turn Rmin and original state and the angle γ of support boots cylinderRelation, minimum level radius of turn Rmin and TBM in the relation that turns over angle [alpha] of each driving stroke. Reference diagram7, can obtain following formula:
Taking the outside extended travel of the support boots cylinder of TBM as the limit, determine the girder of TBM under original state and support boots cylinderThese two angles of the angle [alpha] that angle γ and TBM turn at the initial time of each driving stroke and minimum level turn halfThe relation of footpath Rmin. With reference to figure 8, can obtain following formula:
Can solve and obtain minimum level radius of turn R by simultaneous expression formula (6)~(8)minValue, recycling condition2, condition 3 and condition 4 are verified.
In sum, the embodiment of the present invention propose open type TBM minimum level radius of turn definite method with respect toExisting estimation algorithm tool has the following advantages: the first, realize accurately counting fast of open type TBM minimum level radius of turnCalculate; The second, can effectively assess design, avoid occurring that design does not meet the problem of construction requirement; The 3rd,Obtain the quantitative relationship of minimum level radius of turn and multiple parameters, can provide guidance for the optimal design of TBM.
One of ordinary skill in the art will appreciate that all or part of step realizing in above-described embodiment method is to pass throughProgram is carried out the hardware that instruction is relevant and is completed, and described program can be stored in a computer read/write memory medium, this journeyOrder, in the time carrying out, comprises as the step of the step of above-mentioned the first embodiment or above-mentioned the second embodiment, described storage medium,As: ROM/RAM, magnetic disc, CD etc.
The above, be only specific embodiment of the invention case, and protection scope of the present invention is not limited to this, any familiarThose skilled in the art in technical specification of the present invention, to amendment of the present invention or replacement, all should be of the present inventionWithin protection domain.
Claims (9)
1. a definite method for the minimum level radius of turn of open type TBM, is characterized in that, comprising:
Step 1, obtains the preliminary minimum level radius of turn of described TBM according to the stroke of the support boots cylinder of described TBM;
Step 2, checks and revises preliminary minimum level radius of turn,
In described step 2, utilize first condition, second condition, Article 3 part to carry out preliminary minimum level radius of turnChecking computations and revise, wherein, described first condition for obtained minimum level radius of turn make TBM girder and support bootsCylinder is can shape at a certain angle; Described second condition makes the girder of TBM for obtained minimum level radius of turnAfterbody and hole wall are non-interference; Described Article 3 part makes cutterhead and the tunnel of TBM for obtained minimum level radius of turnHole is non-interference, and the amount of movement of the limit cutter of described cutterhead can not exceed predetermined value.
2. method according to claim 1, is characterized in that, at described open type TBM in from straight line circuitWhile driving to the changeover portion of curve circuit, described step 1 comprises the following steps:
Determine that described TBM is by the required driving step number of described changeover portion;
Determine angle that described TBM turns at the initial time of described changeover portion and the pass of described minimum level radius of turnSystem, and after the angle that turns at the initial time of described changeover portion of described TBM and TBM entering described changeover portionThe relation that turns over angle of each driving stroke;
The axis of described TBM of determining the initial time that tunnels the last time stroke accumulate the angle that turns over and described inThe relation of the angle that TBM turns at the initial time of described changeover portion;
Taking the outside extended travel of the support boots cylinder of described TBM as the limit, determine that the axis of described TBM is accumulated the angle turning overThe relation of degree and described minimum level radius of turn;
Obtain the preliminary minimum level radius of turn of described TBM based on described driving step number and each relation.
3. method according to claim 2, is characterized in that, determines that by following formula described TBM passes throughThe driving step number that described changeover portion is required,
Wherein, Ceiling function representation is not less than the smallest positive integral of certain number, and d represents to tunnel the distance of stroke, and Ldp representsThe front panel of cutterhead is to the distance of the strong point, and Lcx represents the distance of Cheng Xue center to the strong point.
4. method according to claim 2, is characterized in that,
Angle θ and the described minimum of utilizing following formula to determine that described TBM turns at the initial time of described changeover portionThe relation of flat bank radius R min,
Utilize angle θ and the TBM that following formula determines that described TBM turns at the initial time of described changeover portion to existEnter the described changeover portion relation that turns over angle [alpha] of each driving stroke afterwards,
α=2θ,
Wherein, d represents to tunnel the distance of stroke.
5. according to the method described in claim 3 or 4, it is characterized in that, utilize following formula to determine in the end oneThe axis of the described TBM of the initial time of inferior driving stroke is accumulated the angle beta that turns over and described TBM at described changeover portionThe relation of the angle θ that turns over of initial time,
β=(2N-1)θ,
Wherein, N represents to tunnel step number.
6. method according to claim 5, is characterized in that, utilizes following formula to determine described TBM'sAxis is accumulated the angle beta that turns over and the relation of described minimum level radius of turn Rmin,
Wherein, Dxw represents the stroke that the support boots cylinder of described TBM outwards extends, and N represents to tunnel step number, and α represents TBMEach angle that turns over of tunneling stroke after entering described changeover portion, Lcx represents the distance of Cheng Xue center to the strong point.
7. method according to claim 1, is characterized in that, at described open type TBM in being entirely curveUnder the state tunneling in circuit, described step 1 comprises the following steps:
Determine respectively the girder of described TBM under minimum level radius of turn and original state and support the angle of boots cylinder relation,Described minimum level radius of turn and described TBM are in the relation that turns over angle of each driving stroke;
Taking the outside extended travel of the support boots cylinder of described TBM as the limit, determine girder and the support boots of TBM under original stateThe angle of cylinder and TBM are in these two angles that turn over angle of each driving stroke and the pass of described minimum level radius of turnSystem;
Each relation based on obtained obtains the preliminary minimum level radius of turn of described TBM.
8. method according to claim 7, is characterized in that,
Utilize following formula to represent the girder of described TBM under described minimum level radius of turn Rmin and original stateWith the relation of the angle γ of support boots cylinder,
Utilize following formula to represent that described minimum level radius of turn Rmin and described TBM are at each driving strokeTurn over the relation of angle [alpha],
Wherein, Lcx represents the distance of Cheng Xue center to the strong point, and d represents to tunnel the distance of stroke.
9. method according to claim 8, is characterized in that,
Utilize following formula to represent the pass of angle γ and these two angles of angle [alpha] and minimum level radius of turn RminSystem,
Wherein, Lcx represents the distance of Cheng Xue center to the strong point, and Dxw represents that the support boots cylinder of described TBM outwards extendsStroke.
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CN107461198A (en) * | 2017-09-12 | 2017-12-12 | 山东东山新驿煤矿有限公司 | The construction method that EBZ160 development machines acute angle is turned |
CN108005672B (en) * | 2017-11-22 | 2019-07-23 | 天津大学 | A kind of TBM level correction method for planning track |
CN113006804A (en) * | 2021-03-19 | 2021-06-22 | 中铁工程装备集团有限公司 | Driving method and structure of inclined shaft system line |
CN116291518B (en) * | 2023-02-13 | 2023-09-19 | 石家庄铁道大学 | TBM tunneling direction posture regulation and control method for large-diameter small-turn tunnel |
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