CN104018845A - Method for determining minimum horizontal turning radius of open-type TBM - Google Patents

Abstract

The invention discloses a method for determining the minimum horizontal turning radius of an open-type TBM. The method comprises the steps of 1 obtaining the preliminary minimum horizontal turning radius of the TBM according to a stoke of a gripper cylinder of the TBM; 2 performing checking calculation and correction on the preliminary minimum horizontal turning radius. The method for determining the minimum horizontal turning radius of the open-type TBM achieves quick accurate calculation of the minimum horizontal turning radius of the open-type TBM and can effectively evaluate a design scheme, avoid the problem that the design does not meet the construction requirement and provide guidance for TBM optimization design.

Description

Definite method of the minimum level turning radius of open type TBM

Technical field

The present invention relates to underground engineering field, specifically, relate to definite method of the minimum level turning radius of a kind of open type TBM.

Background technology

Complete-section tunnel boring machine (Tunnel Boring Machine, be called for short TBM) can realize the constructing tunnel operations such as propelling, broken rock, muck removal, supporting simultaneously, have fast, the outstanding advantages such as high-quality, safety, economy, environmental protection, in the construction of tunnel such as water conservancy, electric power, railway, coal, mine, traffic, subway and city underground engineering, obtained application more and more widely.

In tunnel line design, because a variety of causes inevitably exists curved section on horizontal plane, this just requires the TBM can be according to the curve of a certain radius of curvature driving of turning in work progress.Open type TBM, in tunneling process, relies on self supporting mechanism (support boots) stretching hole wall to bear reaction force and the countertorque of pushing ahead.Current TBM both domestic and external, in the connection of support boots cylinder intermediate structure and saddletree, design all adopts cross bearing pin " support boots float " structure, and the support boots cylinder of both sides can arrange different elongation (contraction) amount, such structure makes TBM in the time of driving, have the ability of turning.

But the min. turning radius that TBM can realize is specifically how many, generally can only estimate according to experience or by drawing also coarse schematic diagram.For common tunnel, the radius of curvature of its designed lines larger (mostly more than 350m) easily reaches the requirement of the min. turning radius of expectation for open type TBM, and therefore this estimation can't bring larger problem.But for example, in some in particular cases (tunnel, colliery), there is the section that radius of curvature is very little (for example 40m) in tunnel line, if now still adopt the method for estimation, the requirement that may cause actual production TBM out not reach the min. turning radius of expectation, cause and design unsuccessfully, bring huge economic loss.

Therefore, how to address the above problem, the min. turning radius of accurately calculating open type TBM is one of problem of endeavouring of industry.

Summary of the invention

One of technical problem to be solved by this invention is definite method that the minimum level turning radius of a kind of open type TBM need to be provided, and 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 definite method of the minimum level turning radius of a kind of open type TBM, comprising: step 1, obtains the preliminary minimum level turning radius of described TBM according to the stroke of the support boots cylinder of described TBM; Step 2, checks and revises preliminary minimum level turning radius.

In one embodiment, in described step 2, utilize first condition, second condition, Article 3 part that preliminary minimum level turning radius is checked and revised, wherein, described first condition makes the girder of TBM and support boots cylinder can shape at a certain angle for obtained minimum level turning radius; Described second condition makes afterbody and the hole wall of girder of TBM non-interference for obtained minimum level turning radius; Described Article 3 part for obtained minimum level turning radius make the cutterhead of TBM and tunnel non-interference, and the amount of movement of the limit cutter of described cutterhead can not exceed predetermined value.

In one embodiment, at described open type TBM, in the time that the changeover portion from straight line circuit to curve circuit tunnels, 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 relation of described minimum level turning radius, and the angle that turns at the initial time of described changeover portion of described TBM and TBM are entering the relation that turns over angle of each driving stroke after described changeover portion; The axis of described TBM of determining the initial time that tunnels the last time stroke is accumulated the relation of the angle that the angle that turns over and described TBM turn at the initial time of described changeover portion; Taking the outside extended travel of the support boots cylinder of described TBM as the limit, the axis of determining described TBM is accumulated the angle that turns over and the relation of described minimum level turning radius; Obtain the preliminary minimum level turning radius 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,

$N=\mathrm{Ceiling}\left(\frac{L_{\mathrm{dp}}+L_{\mathrm{cx}}}{d}\right)$

Wherein, Ceiling function representation is not less than the maximum integer of certain number, and d represents to tunnel the distance of stroke, and Ldp represents that the 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 angle θ that following formula determines that described TBM turns at the initial time of described changeover portion and the relation of described minimum level turning radius Rmin,

$\sin \mathrm{\θ}=\frac{d}{{2R}_{\min }}$

The relation that turns over angle [alpha] of utilizing angle θ that following formula determines that described TBM turns at the initial time of described changeover portion and TBM entering each driving stroke after described changeover portion,

α＝2θ，

Wherein, d represents to tunnel the distance of stroke.

In one embodiment, utilize following formula to determine that the axis of the described TBM of the initial time that tunnels the last time stroke accumulates the relation of the angle θ that the angle beta that turns over and described TBM turn at the initial time of described changeover portion,

β＝(2N-1)θ，

Wherein, N represents to tunnel step number.

In one embodiment, utilize following formula to determine that the axis of described TBM accumulates the angle beta that turns over and the relation of described minimum level turning radius Rmin,

$\sin \mathrm{\β}=\frac{D_{\mathrm{xw}}+R_{\min }[1-\cos (N-1)\mathrm{\α}]}{L_{\mathrm{cx}}}$

Wherein, Dwx represent described TBM support boots cylinder the distance of outside extended travel, N represents to tunnel step number, α represent TBM each driving stroke after entering described changeover portion initial time turn over angle, Lcx represents the distance of Cheng Xue center to the strong point.

In one embodiment, under the state tunneling in being entirely curve circuit at described open type TBM, described step 1 comprises the following steps: determine that respectively relation, described minimum level turning radius and the described TBM of the girder of described TBM under minimum level turning radius and original state and the angle of support boots cylinder 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 that the girder of TBM under original state and the angle of support boots cylinder and TBM are in these two angles that turn over angle of each driving stroke and the relation of described minimum level turning radius; Each relation based on obtained obtains the preliminary minimum level turning radius of described TBM.

In one embodiment, utilize following formula to represent the relation of the girder of described TBM under described minimum level turning radius Rmin and original state and the angle γ of support boots cylinder,

$\sin \frac{\mathrm{\γ}}{2}=\frac{L_{\mathrm{cx}}}{2R_{\min }};$

Utilize following formula to represent that described minimum level turning radius Rmin and described TBM are in each relation that turns over angle [alpha] of tunneling stroke,

$\sin \frac{\mathrm{\α}}{2}=\frac{d}{{2R}_{\min }},$

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 the relation of angle γ and these two angles of angle [alpha] and minimum level turning radius Rmin,

$\sin (\mathrm{\γ}+\mathrm{\α})=\frac{D_{\mathrm{xw}}+R_{\min }(1-\cos \mathrm{\γ})}{L_{\mathrm{cx}}}$

Wherein, Lcx represents the distance of Cheng Xue center to the strong point, and Dwx represents the stroke that the support boots of described TBM outwards extend.

Compared with prior art, one or more embodiment of the present invention can have the following advantages by tool:

Definite method of open type TBM flat bank radius that the present invention proposes has the following advantages with respect to existing estimation algorithm tool: the first, realize the quick accurate Calculation of open type TBM minimum level turning radius; The second, can effectively assess design scheme, avoid occurring that design does not meet the problem of construction requirement; The 3rd, obtain the quantitative relationship of min. turning radius and multiple parameters, 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 manual, become apparent, or understand by implementing the present invention.Object of the present invention and other advantages can be realized and be obtained by specifically noted structure in manual, claims and accompanying drawing.

Brief description of the drawings

Accompanying drawing is used to provide a further understanding of the present invention, and forms a part for manual,, is not construed as limiting the invention jointly for explaining the present invention with embodiments of 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 the schematic diagram of θ angle around the strong point;

Fig. 3 is illustrated in the phase of boring for the first time entering after changeover portion, and the angle that the driving stroke that TBM is described is the corresponding central angle in the polygonal one side of tunnel line for d, track that the strong point is walked is the schematic diagram of α (this angle is identical with the size that turns over angle described later);

Fig. 4 is illustrated in the initial time that tunnels for the second time stroke, the schematic diagram that the angle that the girder of TBM rotates around the strong point is α;

Fig. 5 is illustrated in the initial time of last driving stroke, the schematic diagram that the angle that the girder of TBM rotates around the strong point is α;

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, the schematic diagram that the angle that the driving stroke that TBM is described is the corresponding central angle in the polygonal one side of tunnel line for d, track that the strong point is walked 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, below in conjunction with accompanying drawing, the present invention is described in further detail.It should be noted that, in order to make TBM high-visible in the process of turning, in accompanying drawing, the ratio of each part dimension is not pressed actual ratio drafting.

Definite method of minimum level turning radius of the present invention comprises TBM computational methods in both cases, the first situation is the state that TBM tunnels in the changeover portion from straight line circuit to curve circuit, and the second situation is the state that TBM tunnels in pure curve circuit.

the first embodiment

The present embodiment is that minimum level turning radius 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, girder 3, shield 4 and cutterhead 5.

For the TBM tunneling to curve circuit changeover portion from straight line, it is in the tunneling process of curved section, and the ideal situation of the tunnel center line that finally will form is the polygon that is connected to this curve in.And TBM need to ensure that the strong point (center of bottom shield 4) is all the time on this polygon in the time of driving.

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, and the termination moment of changeover portion is the moment that support boots arrive straightway and curved section points of tangency.

Before how detailed description calculates minimum level turning radius, first referring to figs. 2 to Fig. 5, the driving step of TBM in the time turning is described.

In Fig. 2, solid outline schematically shows the TBM before rotation, and dotted outline schematically shows the TBM turning over after a certain angle θ.At the initial time of this changeover portion, TBM is taking its strong point as center of rotation, and its girder 3 rotates an angle θ (step 1) around the strong point.

Then, as shown in Figure 3, TBM is entering after changeover portion, and while driving for the first time, the distance that makes the driving stroke of TBM is d.In tunneling process, the tunneling direction of TBM remains unchanged, and the path that now strong point is passed by is polygonal certain one side (step 2) of inscribed to curves, 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, similar with step 1, TBM is tunneling the initial time of stroke for the second time, its girder 3 rotates an angle [alpha] (step 3) around support point again, and this angle [alpha] size and angle θ vary in size (as shown in Figure 4).

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, be considered to 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, if obtain a certain minimum level turning radius, must meet the following conditions: condition 1, and the minimum level turning radius obtaining makes the stroke of the support boots cylinder of TBM want enough large; Condition 2, the minimum level turning radius obtaining is not interfered afterbody and the hole wall of the girder of TBM; Condition 3, the minimum level turning radius obtaining makes the girder of TBM and support boots cylinder can shape at a certain angle; Condition 4, the minimum level turning radius obtaining is not interfered the cutterhead of TBM and tunnel, and the amount of movement of the limit cutter of cutterhead 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 the stroke of boots cylinder and wants enough large.And the design of the float support of cross bearing pin has ensured that certain rotation (condition 2,3) can occur for girder and support boots cylinder.Cutterhead and the tunnel condition such as do not interfere can solve by backbreaking etc. (condition 4).Therefore, situation for straight line to curve circuit transition, provide the method for following calculating minimum level turning radius: first obtain preliminary minimum level turning radius value according to the stroke of design scheme support boots cylinder (being condition 1), recycling condition 2, condition 3 and condition 4 check and revise the minimum level turning radius 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:

$N=\mathrm{Ceiling}\left(\frac{L_{\mathrm{dp}}+L_{\mathrm{cx}}}{d}\right)---\left(1\right)$

Wherein, Ceiling function representation is not less than the maximum integer of certain number, d represents to tunnel the distance of stroke, and Ldp represents that the front panel of cutterhead is to the distance of the strong point (with reference to figure 1), and Lcx represents the distance (with reference to figure 1) of Cheng Xue center to the strong point.

Then, determine angle θ that TBM turns at the initial time of changeover portion and the relation of minimum level turning radius Rmin, and the angle θ that turns at the initial time of changeover portion of TBM and TBM are entering the relation that turns over angle [alpha] of each driving stroke after changeover portion.According to the geometrical relationship in Fig. 2 and Fig. 4, obtain following formula (2) and (3):

$\sin \mathrm{\θ}=\frac{d}{{2R}_{\min }}---\left(2\right)$

α＝2θ (3)

Then the axis of TBM of, determining the initial time that tunnels the last time stroke is accumulated the relation of the angle θ that the angle beta that turns over and TBM turn at the initial time of changeover portion.The state that TBM tunnels initial time the last time as shown in Figure 5, now accumulate the angle beta turning over and can obtain by following expression by TBM axis:

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 compensate with different elongations by two side stay boots cylinders, and 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, while therefore calculating minimum level turning 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 turning radius by following expression:

$\sin \mathrm{\β}=\frac{D_{\mathrm{xw}}+R_{\min }[1-\cos (N-1)\mathrm{\α}]}{L_{\mathrm{cx}}}---\left(5\right)$

Wherein, Dxw represents to support the outwards distance of the stroke of elongation of boots cylinder.

Finally, can solve by simultaneous expression formula (1)～(5) value that obtains minimum level turning radius Rmin, recycling condition 2, condition 3 and condition 4 are verified.

In sum, definite method of minimum level turning radius of the open type TBM that the embodiment of the present invention proposes has the following advantages with respect to existing estimation algorithm tool: the first, realize the quick accurate Calculation of open type TBM minimum level turning radius; The second, can effectively assess design scheme, avoid occurring that design does not meet the problem of construction requirement; The 3rd, obtain the quantitative relationship of minimum level turning radius and multiple parameters, can provide guidance for the optimal design of TBM.

the second embodiment

The present embodiment is that minimum level turning radius 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, the final tunnel center line ideal situation forming is also the polygon that is connected to this curve in.And TBM need to ensure that equally the strong point (center of bottom shield 4) is all the time on this polygon in the time of driving.

It should be noted that, owing to tunneling in pure curve, therefore tunneling process is a process constantly repeating, and does not have initial time and stops the moment.

Before describing the minimum level turning radius of how calculating in this situation in detail, first describe the driving step of TBM in turning process in detail with reference to figure 6 to Fig. 8.

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, the path that now strong point is passed by is polygonal certain one side of inscribed to curves, and the angular dimension that the girder of TBM rotates around the strong point is 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 the original state in step 1, and 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 turning radius, with identical to curve circuit changeover portion tunneling process from straight line, therefore calculates thinking also identical.

For TBM structural parameters, carry out the setting identical with the first embodiment.

First determine that respectively relation, minimum level turning radius Rmin and the TBM of the girder of TBM under minimum level turning radius Rmin and original state and the angle γ of support boots cylinder are in the relation that turns over angle [alpha] of each driving stroke.With reference to figure 7, can obtain following formula:

$\sin \frac{\mathrm{\α}}{2}=\frac{d}{{2R}_{\min }}---\left(6\right)$

$\sin \frac{\mathrm{\γ}}{2}=\frac{L_{\mathrm{cx}}}{2R_{\min }}---\left(7\right)$

Taking the outside extended travel of the support boots cylinder of TBM as the limit, determine the girder of TBM under original state and the angle γ of support boots cylinder and these two angles of the angle [alpha] that TBM turns at the initial time of each driving stroke and the relation of minimum level turning radius Rmin.With reference to figure 8, can obtain following formula:

$\sin (\mathrm{\γ}+\mathrm{\α})=\frac{D_{\mathrm{xw}}+R_{\min }(1-\cos \mathrm{\γ})}{L_{\mathrm{cx}}}---\left(8\right)$

Can solve by simultaneous expression formula (6)～(8) value that obtains minimum level turning radius Rmin, recycling condition 2, condition 3 and condition 4 are verified.

In sum, definite method of minimum level turning radius of the open type TBM that the embodiment of the present invention proposes has the following advantages with respect to existing estimation algorithm tool: the first, realize the quick accurate Calculation of open type TBM minimum level turning radius; The second, can effectively assess design scheme, avoid occurring that design does not meet the problem of construction requirement; The 3rd, obtain the quantitative relationship of minimum level turning radius 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 can carry out the hardware that instruction is relevant by program to complete, described program can be stored in a computer read/write memory medium, this program is in the time carrying out, comprise 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, protection scope of the present invention is not limited to this, is anyly familiar with those skilled in the art in technical specification of the present invention; to amendment of the present invention or replacement, all should be within protection scope of the present invention.

Claims (10)

1. a definite method for the minimum level turning radius of open type TBM, is characterized in that, comprising:

Step 1, obtains the preliminary minimum level turning radius of described TBM according to the stroke of the support boots cylinder of described TBM;

Step 2, checks and revises preliminary minimum level turning radius.

2. method according to claim 1, is characterized in that, in described step 2,

Utilize first condition, second condition, Article 3 part that preliminary minimum level turning radius is checked and revised, wherein, described first condition makes the girder of TBM and support boots cylinder can shape at a certain angle for obtained minimum level turning radius; Described second condition makes afterbody and the hole wall of girder of TBM non-interference for obtained minimum level turning radius; Described Article 3 part for obtained minimum level turning radius make the cutterhead of TBM and tunnel non-interference, and the amount of movement of the limit cutter of described cutterhead can not exceed predetermined value.

3. method according to claim 1, is characterized in that, at described open type TBM, in the time that the changeover portion from straight line circuit to curve circuit tunnels, 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 relation of described minimum level turning radius, and the angle that turns at the initial time of described changeover portion of described TBM and TBM are entering the relation that turns over angle of each driving stroke after described changeover portion;

The axis of described TBM of determining the initial time that tunnels the last time stroke is accumulated the relation of the angle that the angle that turns over and described TBM turn at the initial time of described changeover portion;

Taking the outside extended travel of the support boots cylinder of described TBM as the limit, the axis of determining described TBM is accumulated the angle that turns over and the relation of described minimum level turning radius;

Obtain the preliminary minimum level turning radius of described TBM based on described driving step number and each relation.

4. method according to claim 3, is characterized in that, determines that by following formula described TBM is by the required driving step number of described changeover portion,

$N=\mathrm{Ceiling}\left(\frac{L_{\mathrm{dp}}+L_{\mathrm{cx}}}{d}\right)$

Wherein, Ceiling function representation is not less than the maximum integer of certain number, and d represents to tunnel the distance of stroke, and Ldp represents that the 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.

5. method according to claim 3, is characterized in that,

Utilize angle θ that following formula determines that described TBM turns at the initial time of described changeover portion and the relation of described minimum level turning radius Rmin,

$\sin \mathrm{\θ}=\frac{d}{{2R}_{\min }}$

The relation that turns over angle [alpha] of utilizing angle θ that following formula determines that described TBM turns at the initial time of described changeover portion and TBM entering each driving stroke after described changeover portion,

α＝2θ，

Wherein, d represents to tunnel the distance of stroke.

6. according to the method described in claim 4 or 5, it is characterized in that, utilize following formula to determine that the axis of the described TBM of the initial time that tunnels the last time stroke accumulates the relation of the angle θ that the angle beta that turns over and described TBM turn at the initial time of described changeover portion

β＝(2N-1)θ，

Wherein, N represents to tunnel step number.

7. method according to claim 6, is characterized in that, utilizes following formula to determine that the axis of described TBM accumulates the angle beta that turns over and the relation of described minimum level turning radius Rmin,

$\sin \mathrm{\β}=\frac{D_{\mathrm{xw}}+R_{\min }[1-\cos (N-1)\mathrm{\α}]}{L_{\mathrm{cx}}}$

Wherein, Dwx represent described TBM support boots cylinder the distance of outside extended travel, N represents to tunnel step number, α represent TBM each driving stroke after entering described changeover portion initial time turn over angle, Lcx represents the distance of Cheng Xue center to the strong point.

8. method according to claim 1, is characterized in that, under the state tunneling in being entirely curve circuit at described open type TBM, described step 1 comprises the following steps:

Determine that respectively relation, described minimum level turning radius and the described TBM of the girder of described TBM under minimum level turning radius and original state and the angle of support boots cylinder 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 that the girder of TBM under original state and the angle of support boots cylinder and TBM are in these two angles that turn over angle of each driving stroke and the relation of described minimum level turning radius;

Each relation based on obtained obtains the preliminary minimum level turning radius of described TBM.

9. method according to claim 8, is characterized in that,

Utilize following formula to represent the relation of the girder of described TBM under described minimum level turning radius Rmin and original state and the angle γ of support boots cylinder,

$\sin \frac{\mathrm{\γ}}{2}=\frac{L_{\mathrm{cx}}}{2R_{\min }};$

Utilize following formula to represent that described minimum level turning radius Rmin and described TBM are in each relation that turns over angle [alpha] of tunneling stroke,

$\sin \frac{\mathrm{\α}}{2}=\frac{d}{{2R}_{\min }},$

Wherein, Lcx represents the distance of Cheng Xue center to the strong point, and d represents to tunnel the distance of stroke.

10. method according to claim 9, is characterized in that,

Utilize following formula to represent the relation of angle γ and these two angles of angle [alpha] and minimum level turning radius Rmin,

$\sin (\mathrm{\γ}+\mathrm{\α})=\frac{D_{\mathrm{xw}}+R_{\min }(1-\cos \mathrm{\γ})}{L_{\mathrm{cx}}}$

Wherein, Lcx represents the distance of Cheng Xue center to the strong point, and Dwx represents the stroke that the support boots of described TBM outwards extend.