CN107729697A - The determination method of complete-section tunnel boring machine cutterhead thickness - Google Patents
The determination method of complete-section tunnel boring machine cutterhead thickness Download PDFInfo
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- CN107729697A CN107729697A CN201711167274.XA CN201711167274A CN107729697A CN 107729697 A CN107729697 A CN 107729697A CN 201711167274 A CN201711167274 A CN 201711167274A CN 107729697 A CN107729697 A CN 107729697A
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Abstract
The invention discloses a kind of determination method for the complete-section tunnel boring machine cutterhead thickness for belonging to development machine parts design technical field.The determination method of the development machine cutterhead thickness is according to theory of elastic mechanics, is determined by calculating amount of deflection w (r, θ) of the TBM cutterheads under its transverse load q effects.Specifically under conditions of TBM cutterheads material and distributed load are certain, its transverse curvature amount of deflection is only relevant with cutter radius and cutterhead thickness, and cutter radius are determined by tunnel excavation radius, therefore, TBM cutterhead transverse curvatures amount of deflection is actually what is determined by its thickness；To make in TBM tunneling processes, its cutterhead is not acted on by transverse load and tilting moment, and disk cutter is symmetrical on cutterhead, is evenly arranged；Make bending of the TBM cutterheads under the effect of its disk cutter load symmetrical around cutter axis.The present invention reduces cutterhead inhomogeneities in complete-section tunnel boring machine work progress and deformed, and reduces construction work cost, shortens the corresponding construction period.
Description
Technical Field
The invention belongs to the technical field of design of parts of a tunneling machine, and particularly relates to a method for determining the thickness of a cutter head of a full-face tunnel tunneling machine.
Background
The cutter head of the full-face tunnel boring machine (the full-face rock boring machine and the shield are collectively called as TBM) deforms unevenly, vibration in the boring operation process is generated, and the cutter on the TBM cutter head is stressed unevenly, so that the cutter consumption and the cutter detection and replacement time are increased, the construction cost of the full-face tunnel boring machine is increased, and the construction project period is prolonged. However, no effective method for controlling the uniformity of transverse bending deformation of the TBM cutter head exists at present.
Disclosure of Invention
The invention aims to provide a method for determining the thickness of a cutter head of a full-face tunnel boring machine. The method for determining the thickness of the cutter head of the full-face tunnel boring machine is characterized in that according to the theory of elastic mechanics, the deflection w (r, theta) of the cutter head of the TBM (full-face tunnel boring machine) under the action of a transverse load q is as follows:
in the formula: d is the bending rigidity of the TBM cutter head,wherein E is the Young modulus of the TBM cutter head material, t is the thickness of the TBM cutter head, and mu is the Bow-pine ratio of the TBM cutter head material; for simplifying introduction of formulasWherein, when the w direction is consistent with the q direction, the w direction is positive, otherwise, the w direction is negative;
tens of disc cutters or even hundreds of disc cutters are arranged on a TBM cutter head, the vertical load acting on each disc cutter is up to 30 tons, and in order to ensure that the TBM cutter head is not influenced by the transverse load and the overturning moment in the TBM tunneling process, the disc cutters are symmetrically and uniformly arranged on the TBM cutter head; the bending of the TBM cutter head under the action of the disc cutter load is symmetrical around the axis of the TBM cutter head, and then the equation (1) is written as
The general solution of formula (2) is
w＝C 1 Lnr+C 2 r 2 Lnr+C 3 r 2 +C 4 +w 1 (3)
In the formula: c 1 、C 2 、C 3 、C 4 Is a constant determined by the boundary condition; lnr is the natural logarithm of the radius of the pole, w 1 Any special solution of the formula (2) determined by the load distribution condition on the TBM cutter head; loads q are uniformly distributed on a TBM cutter head 0 That is, q = q in formula (1) and formula (2) 0 Then w is 1 Has Cr 4 That is: w is a 1 ＝Cr 4 ) Wherein C is a constant; will w 1 ＝Cr 4 Substituting the formula (2) to obtainThus, formula (3) can be written as
A central hob is generally arranged in the center of the TBM cutter head, that is, the TBM cutter head is considered to be an elastic thin plate with no hole in the center, and since r =0 and the 1 st item and the 2 nd item on the right side of the equation (4) are both infinite in the center of the TBM cutter head, this is not in accordance with the actual situation, so C should be used 1 ＝C 2 And =0. Thus, the TBM cutterhead transverse bending model function is
The TBM cutter head is clamped at the radius R, the boundary condition can be written as
Substituting the formula (5) into the formula (6) and solving to obtain
In the formula (7), R is the radius of a TBM cutter head; substituting the expressions of the formulas (7) and (D) into the formula (5) and finishing to obtain
Order toIs a constant related to only the TBM cutter material and the load distribution on the TBM cutter; order toIs a function which changes along with the change of the geometric parameters of the TBM cutter head, the formula (8) can be written as
Equation (9) shows that under certain conditions of TBM cutterhead material and distributed load, the transverse bending deflection is only related to the TBM cutterhead radius and the TBM cutterhead thickness, and the TBM cutterhead radius is determined by the tunnel excavation radius, so that the transverse bending deflection f (R, t) of the TBM cutterhead is actually determined by the thickness, namely
Alternatively, consider the function f (R, t) to be the equivalent deflection of the TBM cutterhead; the TBM cutterhead deflection is proportional to the minus 3 th power of the thickness of the TBM cutterhead deflection, and the constructor F (t) = t -3 Where t is the TBM cutter head thickness, at function F (t) = t -3 In the image of (1), when 0<t&At 0.25, the variation of the value of F (t) along with the variation of t is large; when t is more than or equal to 0.25 and less than 0.35, the change amplitude of the value of F (t) along with the change amount of t is small; when t is more than or equal to 0.35, the value of F (t) gradually becomes gentle along with the change of t; thus, the deviceThe value of t should be not less than 0.25m, preferably more than 0.35m, in order to make the bending value of the TBM cutter head as small and uniform as possible.
Compared with the traditional design method, the cutter head designed by the method has the advantages that the flatness of the TBM cutter head is improved by 50%, the unbalance loading of the cutters on the TBM cutter head is reduced by 23%, the detection and replacement times of the TBM cutters are reduced by 19%, and the utilization rate of the full-face tunnel boring machine is effectively improved. Therefore, the deformation nonuniformity of the TBM cutter head in the construction process of the full-face tunnel boring machine is reduced, the construction engineering cost is reduced, and the corresponding construction period is shortened.
Drawings
FIG. 1 shows the surface loads acting on the surface polar (r, θ) units in the TBM head, (a) the TBM head unit body, and (b) the surface unit blocks in the TBM head unit body.
FIG. 2 shows the function F (t) = t -3 And (4) an image.
FIG. 3 shows the transverse deflection values of TBM cutterheads with different thicknesses and diameters of 6m
Detailed Description
The invention provides a method for determining the thickness of a cutter head of a full-face tunnel boring machine. The following description is made with reference to the drawings and examples.
Examples
The method for determining the thickness of the cutter head of the full-face tunneling machine is that according to the theory of elastic mechanics, the deflection w (r, theta) of the TBM cutter head under the action of a transverse load q is as follows:
in the formula: d is the bending rigidity of the TBM cutter head,wherein E is the Young's elastic modulus of TBM cutter head materialT is the thickness of a TBM cutter head, and mu is the Bonus ratio of the material of the TBM cutter head; for simplifying introduction of formulasWherein r and theta are polar coordinates; taking positive when w is consistent with q direction, otherwise, taking negative; the surface loads acting on the surface polar (r, theta) units in the TBM head as shown in fig. 1, (a) the TBM head unit body, (b) the surface unit blocks in the TBM head unit body.
According to the calculation, the material parameter of the cutter head of the full-face rock tunnel boring machine of a certain model is E =218KN/mm through analysis 2 μ =0.30; face load q on cutter head 0 ＝2.9184×10 5 N/m 2 From the above analysis, M =2.28 × 10 can be obtained -7 (ii) a In order to visually observe the relation between the transverse bending deflection of the TBM cutterhead and the thickness of the TBM cutterhead, taking the diameter of the 6mTBM cutterhead as an example and different t values as a series, a TBM cutterhead transverse bending deflection function formula (9) is drawn; equivalent deflection of a TBM cutter head; the TBM cutterhead deflection is proportional to the minus 3 power of the thickness, and the function F (t) = t -3 As shown in fig. 2. As can be seen from fig. 3, fig. 3 shows: when 0 is present<t&At 0.25, the change of the value of F (t) along with the change of t is large in amplitude; when t is more than or equal to 0.25 and less than 0.35, the change amplitude of the value of F (t) along with the change amount of t is small; when t is more than or equal to 0.35, the value of F (t) gradually becomes gentle along with the change of t; therefore, to minimize and homogenize the TBM cutter deflection values, t should be no less than 0.25m, and preferably greater than 0.35m.
Claims (1)
1. A method for determining the thickness of a cutter head of a full-face tunnel boring machine. The method for determining the thickness of the cutter head of the tunneling machine is characterized in that according to the theory of elastic mechanics, the deflection w (r, theta) of the cutter head of the TBM (full-face tunnel boring machine) under the action of a transverse load q is as follows:
in the formula: d is the bending rigidity of the TBM cutter head,wherein E is the Young modulus of the TBM cutter head material, t is the thickness of the TBM cutter head, and mu is the Bow-pine ratio of the TBM cutter head material; for simplifying introduction of formulasWherein, when the w direction is consistent with the q direction, the w direction is positive, otherwise, the w direction is negative;
tens of disc cutters or even hundreds of disc cutters are arranged on a TBM cutter head, the vertical load acting on each disc cutter is up to 30 tons, and in order to ensure that the TBM cutter head is not influenced by the transverse load and the overturning moment in the TBM tunneling process, the disc cutters are symmetrically and uniformly arranged on the TBM cutter head; the bending of the TBM cutter head under the action of the disc cutter load is symmetrical around the axis of the TBM cutter head, and then the equation (1) is written as
The general solution of formula (2) is
w＝C 1 Lnr+C 2 r 2 Lnr+C 3 r 2 +C 4 +w 1 (3)
In the formula: c 1 、C 2 、C 3 、C 4 Is a constant determined by the boundary condition; lnr is the natural logarithm of the radius of the pole, r, w 1 Any special solution of the formula (2) determined by the load distribution condition on the TBM cutter head; loads q are uniformly distributed on a TBM cutter head 0 That is, q = q in formula (1) and formula (2) 0 Then w is 1 Has Cr 4 That is: w is a 1 ＝Cr 4 ) Wherein C is a constant; will w 1 ＝Cr 4 Substituting for formula (2) to obtainThus, formula (3) can be written as
A central hob is generally arranged in the center of the TBM cutter head, that is, the TBM cutter head is considered to be an elastic thin plate with no hole in the center, and since r =0 and the 1 st item and the 2 nd item on the right side of the equation (4) are both infinite in the center of the TBM cutter head, this is not in accordance with the actual situation, so C should be used 1 ＝C 2 =0; thus, the TBM cutterhead transverse bending model function is
The TBM cutter head is clamped at the radius R, the boundary condition can be written as
Substituting formula (5) for formula (6) and solving to obtain
R in the formula (7) is the radius of a TBM cutter head; substituting expressions of formulas (7) and D into formula (5) and finishing to obtain
Order toIs a constant related to only the TBM cutter material and the load distribution on the TBM cutter; order toIs a function that varies with the variation of the geometric parameters of the TBM cutterhead, equation (8) can be written as
Formula (9) shows that under certain conditions of TBM cutterhead material and distributed load, the transverse bending deflection is only related to TBM cutterhead radius and TBM cutterhead thickness, and the TBM cutterhead radius is determined by tunnel excavation radius, so that the transverse bending deflection f (R, t) of the TBM cutterhead is actually determined by the thickness, namely
Alternatively, consider the function f (R, t) to be the equivalent deflection of the TBM cutterhead; the TBM cutterhead deflection is proportional to the minus 3 th power of the thickness of the TBM cutterhead deflection, and the constructor F (t) = t -3 Where t is the TBM cutter head thickness and the function F (t) = t -3 The image of (a); when 0 is present<t&At 0.25, the change of the value of F (t) along with the change of t is large; when t is more than or equal to 0.25 and less than 0.35, the change amplitude of the value of F (t) along with the change amount of t is small; when t is more than or equal to 0.35, the value of F (t) gradually becomes gentle along with the change of t; therefore, to minimize and homogenize the TBM cutter deflection values, t should be no less than 0.25m, and preferably greater than 0.35m.
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| CN201711167274.XA CN107729697B (en) | 2017-11-21 | 2017-11-21 | Method for determining thickness of cutter head of full-face tunnel boring machine |
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Cited By (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN109766610A (en) * | 2018-12-29 | 2019-05-17 | 中铁工程装备集团有限公司 | A kind of cutterhead design method excavated for round rectangle full section of tunnel profiling |
| CN113742866A (en) * | 2021-09-14 | 2021-12-03 | 山东建筑大学 | Method for determining thickness of cutter head of shield tunnel boring machine based on rock rigidity |
Citations (3)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN105332715A (en) * | 2015-12-11 | 2016-02-17 | 华北电力大学 | Method for reducing construction vibration of tunnel boring machine (TBM) by changing thickness and supporting radius of cutter disk |
| CN105673030A (en) * | 2016-03-01 | 2016-06-15 | 华北电力大学 | Method for improving rigidity of discontinuous cutterhead of full-face tunnel boring machine and curved surface cutterhead |
| CN106354916A (en) * | 2016-08-25 | 2017-01-25 | 华北电力大学 | Method for determining support radius and tool quantity of full face rock tunnel boring machine cutter head |
-
2017
- 2017-11-21 CN CN201711167274.XA patent/CN107729697B/en active Active
Patent Citations (3)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN105332715A (en) * | 2015-12-11 | 2016-02-17 | 华北电力大学 | Method for reducing construction vibration of tunnel boring machine (TBM) by changing thickness and supporting radius of cutter disk |
| CN105673030A (en) * | 2016-03-01 | 2016-06-15 | 华北电力大学 | Method for improving rigidity of discontinuous cutterhead of full-face tunnel boring machine and curved surface cutterhead |
| CN106354916A (en) * | 2016-08-25 | 2017-01-25 | 华北电力大学 | Method for determining support radius and tool quantity of full face rock tunnel boring machine cutter head |
Non-Patent Citations (2)
| Title |
|---|
| JUNG-WOO CHO等: "Evaluation of cutting efficiency during TBM disc cutter excavation within a Korean granitic rock using linear-cutting-machine testing and photogrammetric measurement", 《TUNNELLING AND UNDERGROUND SPACE TECHNOLOGY》 * |
| ZHAO-HUANG ZHANG等: "Fragmentation Energy-Saving Theory of Full Face Rock Tunnel", 《CHINESE JOURNAL OF MECHANICAL ENGINEERING》 * |
Cited By (4)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN109766610A (en) * | 2018-12-29 | 2019-05-17 | 中铁工程装备集团有限公司 | A kind of cutterhead design method excavated for round rectangle full section of tunnel profiling |
| CN109766610B (en) * | 2018-12-29 | 2022-09-16 | 中铁工程装备集团有限公司 | Cutter head design method for full-section profiling excavation of rounded rectangular tunnel |
| CN113742866A (en) * | 2021-09-14 | 2021-12-03 | 山东建筑大学 | Method for determining thickness of cutter head of shield tunnel boring machine based on rock rigidity |
| CN113742866B (en) * | 2021-09-14 | 2022-05-27 | 山东建筑大学 | Method for determining thickness of cutter head of shield tunnel boring machine based on rock rigidity |
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