CN108266211A - A kind of gob side entry retaining top plate oblique pull anchor cable reinforces location determining method - Google Patents
A kind of gob side entry retaining top plate oblique pull anchor cable reinforces location determining method Download PDFInfo
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- CN108266211A CN108266211A CN201810014063.0A CN201810014063A CN108266211A CN 108266211 A CN108266211 A CN 108266211A CN 201810014063 A CN201810014063 A CN 201810014063A CN 108266211 A CN108266211 A CN 108266211A
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- thin plate
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- entry retaining
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- 238000000034 method Methods 0.000 title claims abstract description 27
- 239000003245 coal Substances 0.000 claims abstract description 10
- 239000011435 rock Substances 0.000 claims abstract description 6
- 239000010454 slate Substances 0.000 claims description 8
- 238000005381 potential energy Methods 0.000 claims description 4
- 238000005452 bending Methods 0.000 claims description 2
- 238000004364 calculation method Methods 0.000 claims description 2
- 239000004744 fabric Substances 0.000 claims description 2
- 238000006467 substitution reaction Methods 0.000 claims 1
- 230000000694 effects Effects 0.000 abstract description 3
- 230000002787 reinforcement Effects 0.000 abstract description 2
- 238000005728 strengthening Methods 0.000 abstract 1
- 230000004323 axial length Effects 0.000 description 2
- 238000005065 mining Methods 0.000 description 2
- 201000004569 Blindness Diseases 0.000 description 1
- 230000009286 beneficial effect Effects 0.000 description 1
- 230000000295 complement effect Effects 0.000 description 1
- 238000007596 consolidation process Methods 0.000 description 1
- 238000005516 engineering process Methods 0.000 description 1
- 238000005457 optimization Methods 0.000 description 1
- 230000003014 reinforcing effect Effects 0.000 description 1
Classifications
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- E—FIXED CONSTRUCTIONS
- E21—EARTH OR ROCK DRILLING; MINING
- E21D—SHAFTS; TUNNELS; GALLERIES; LARGE UNDERGROUND CHAMBERS
- E21D20/00—Setting anchoring-bolts
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- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F30/00—Computer-aided design [CAD]
- G06F30/20—Design optimisation, verification or simulation
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- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F2119/00—Details relating to the type or aim of the analysis or the optimisation
- G06F2119/06—Power analysis or power optimisation
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- Mining & Mineral Resources (AREA)
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- Evolutionary Computation (AREA)
- Computer Hardware Design (AREA)
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- Laying Of Electric Cables Or Lines Outside (AREA)
- Underground Structures, Protecting, Testing And Restoring Foundations (AREA)
Abstract
The present invention relates to a kind of gob side entry retaining top plate oblique pull anchor cables to reinforce location determining method, and traditional gob side entry retaining roof reinforcement, which is beaten near tunnel filling body mostly to the inclined anchor cable protection of entity coal side, stays lane to stablize, but actual effect is very poor.This method is particularly suitable for determining for gob side entry retaining top plate oblique pull anchor cable arrangement.This method thinks that the main reason for top plate oblique pull anchor cable Strengthening Roof is ineffective is caused by the position that lane top plate oblique pull anchorage cable design is stayed to arrange is unreasonable, therefore, this method will stay lane top plate to be regarded as the free thin plate of clamped one opposite side of freely-supported of an opposite side, calculate the minimax principal stress expression formula for obtaining thin plate, and by the maximum principal stress of thin plate compared with Tensile Strength of Rock, acquire the stress proportionality coefficient of thin plate, stress proportionality coefficient is destroyed more than 1 rock beam, which is to need to beat the position that oblique pull anchor cable is reinforced.This method calculates simple, easy to implement, safe and reliable.
Description
Technical field
The present invention relates to a kind of method for lane top plate oblique pull anchor cable position optimization being stayed to determine suitable for big cross section, large deformation,
More particularly to a kind of gob side entry retaining top plate oblique pull anchor cable reinforces location determining method.
Background technology
Gob side entry retaining is shield lane mode important in no coal pillar mining, and roadway support and the current method of technique are more, and big
Duo Liu lanes once adopt, it is secondary adopt after, top plate, two help, even pucking it is more serious, wherein the consolidation process packet to top plate
It is commonplace that the methods of including complement individual prop, top plate big anchor cable, especially top plate play anchor cable, but anchor cable is reinforced in many cases
Effect unobvious.
Traditional gob side entry retaining roof reinforcement anchor cable is typically located near tunnel filling body, and axially row's anchor is made along tunnel
Rope, anchor cable have vertical top plate and tilt two kinds to entity coal side, in practice it has proved that the arrangement and controlroof not yet in effect deformation,
Illustrate that the selection of anchor cable position is unreasonable.
Gob side entry retaining Roof Control is the key that ensure that lane is stayed to stablize, particularly by the anchor cable of Cai Donghouliu lanes roof strata
Reinforcing is most important to stablizing for gob side entry retaining, therefore designs and determine that rational top plate anchor cable reinforces position, can prevent that lane is stayed to push up
Plate roof fall ensures working face without coal column safety and high efficiency.
Invention content
To solve the above-mentioned problems, the present invention provides a kind of gob side entry retaining top plate oblique pull anchor cable and reinforces location determining method,
Lane top plate oblique pull anchor cable location determination is stayed suitable for big cross section, large deformation, it can be according to specific mining conditions Exact Design top plate
The position of oblique pull anchor cable can prevent from staying lane top plate roof fall, ensure working face without coal column safety and high efficiency.
The technical scheme is that：A kind of gob side entry retaining top plate oblique pull anchor cable reinforces location determining method, suitable for big
Section, large deformation stay lane top plate oblique pull anchor cable location determination, specifically include following steps：
Step 1. establishes gob side entry retaining top plate sheet model, determines the boundary condition of thin plate：According to practical gob side entry retaining
Roof strata condition and lane cross dimensions is stayed, establish thin plate geometrical model, and determine that the boundary condition of thin plate is that tunnel is axially
Edges free, the mined out side in tunnel are simple boundary, tunnel entity coal side is built-in boundary, and the amount of deflection that thin plate is established with this is expressed
Formula.
Maximum principal stress distribution expression formula in thin plate is calculated in step 2.：Amount of deflection expression formula and thin plate boundary condition are joined
The vertical amount of deflection analytic solutions for calculating thin plate substitute into thin plate internal force formula after analytic solutions are asked partial differential, after again by three principal stresses
Expression formula substitutes into thin plate the maximum principal stress point in the maximum and minimum principal stress expression formula of any point, finally obtained in thin plate
Cloth solution.
Step 3. calculates the stress proportionality coefficient of top plate thin slate layer：By thin plate maximum principal stress solution divided by thin slate layer
Tensile strength obtains the stress proportionality coefficient of thin slate layer.
Step 4. determines gob side entry retaining oblique pull anchor cable position：Using proportionality coefficient as whether judging that roof strata destroys
Foundation, it is exactly the position for arranging oblique pull anchor cable to destroy position.
Further, in the step 1 geometrical model of thin plate as shown in Figure 1, thin plate boundary condition expression formula is：
Simple supported edge：wX=a/2=0,
Clamped side：wX=-a/2=0,
Free margins：For y=-b/2 free margins,
For y=b/2 free margins,
The elastic surface governing equation of thin plate is：
In formula：A be drift section transverse direction web width, m；B be tunnel axial direction thin plate length, m；W is thin plate amount of deflection,
m；wX=a/2、wX=-a/2For the amount of deflection at thin plate a/2 and-a/2, m；M be thin plate moment of flexure, N.m；My0、MybTo be respectively thin
Moment of flexure at plate-b/2 and b/2, N.m；V be external force potential energy, J；Vy0、VybFor external force potential energy, J at thin plate-b/2 and b/2；V is thin
Plate Poisson's ratio；The load of q thin plates upper surface, Pa；D be thin plate bending stiffness, N/m；It is deformed for thin plate curved surface, m.
Further, the amount of deflection expression formula in the step 1 is：
It further derives, the amount of deflection expression formula in the step 1 is：
Further, the thin plate maximum principal stress expression formula in the step 2 is：
In formula：M is numerical value, takes 1,2,3 ...；E be thin plate elastic modulus, GPa；YmFor undetermined coefficient；σ1、σ3It is respectively thin
Minimum and maximum principal stress, MPa in plate.
Further, the stress ratio coefficient calculation method in the step 3 is：
In formula：F (x, y) is stress proportionality coefficient；σtFor rock beam tensile strength, MPa；
Further, the determining gob side entry retaining oblique pull anchor cable position method in the step 4 is：
The beneficial effects of the present invention are, tradition stays lane oblique pull anchor cable to arrange there is very big blindness according only to experience,
Compared with prior art, the present invention gob side entry retaining top plate oblique pull anchor cable provided by the invention reinforces location determining method, by building
Vertical gob side entry retaining top plate sheet model and its boundary condition, by determining the stress distribution in thin plate, and with balkstone tension
Intensity compares, and further judges that thin plate occurs to destroy position, and specific location, the party are reinforced thus to obtain lane top plate oblique pull anchor cable is stayed
Method can effectively prevent staying lane top plate roof fall, ensure working face without coal column safety and high efficiency.
Description of the drawings
Fig. 1 is gob side entry retaining top plate thin plate mechanics model schematic of the present invention.
Fig. 2 is gob side entry retaining top plate sheet stress proportionality coefficient distribution map of the present invention.
Fig. 3 is that gob side entry retaining top plate oblique pull anchor cable of the present invention reinforces position.
In figure：
1. roof toad, 2. thin plate simple supported edges, the clamped side of 3. thin plates, 4. thin plate free margins, 5. oblique pull anchor cables.
Specific embodiment：
It is right below by the method for the invention for gob side entry retaining top plate oblique pull anchor cable reinforces the practical application in arrangement
The present invention is described further.
Shown in Fig. 2, gob side entry retaining top plate sheet stress proportionality coefficient distribution map of the invention, this method is mainly to determine edge
Kong Liu lanes top plate oblique pull anchor cable reinforces position problems.Such as gob side entry retaining under certain mine, working seam average thickness 2.5m, work
Face haulage gate implements gob side entry retaining, as the air return lane of next section working face, directly pushes up as siltstone, packsand, base
This top is gritstone, and siltstone tensile strength is 5.2MPa, elasticity modulus 10.5GPa, Poisson's ratio 0.18, packsand tensile strength
For 6.7MPa, elasticity modulus 11.8GPa, Poisson's ratio 0.21, roof toad q is 1.5MPa, and tunnel span width is 4m after staying lane, is stayed
Lane obturation width is 2m, and use is present invention determine that gob side entry retaining top plate oblique pull anchor cable location arrangements.This method specifically include with
Lower step：
Step 1. establishes gob side entry retaining and directly pushes up siltstone sheet model, web width 6m, and axial length is considered by 500m；
Determine that web width direction is entity coal side built-in boundary, mined out side is simple boundary, axial length direction is free margins；It establishes
Thin plate amount of deflection expression formula is：
Maximum principal stress distribution expression formula in thin plate is calculated in step 2.：
Step 3. calculates the stress proportionality coefficient of top plate thin slate layer：By thin plate maximum principal stress solution divided by thin slate layer
Tensile strength obtains the stress proportionality coefficient of thin rock beam.
For step 4. using proportionality coefficient as foundation whether judging that roof strata destroys, stress proportionality coefficient is more than 1 position
It destroys, is then exactly the position for arranging oblique pull anchor cable.Fig. 3 gob side entry retaining oblique pull anchor cable positions are obtained as a result, close to real
Body coal side 0.5m, laneway midline respectively arrange row's anchor cable apart from mined out side 0.5m.
One embodiment of the present of invention is described in detail above, but the content is only the preferable implementation of the present invention
Example, it is impossible to be construed as limiting the practical range of the present invention.All all the changes and improvements made according to the present patent application range
Deng, should all still belong to the present invention patent covering scope within.
Claims (5)
1. a kind of gob side entry retaining top plate oblique pull anchor cable reinforces location determining method, suitable for gob side entry retaining lane inner top panel oblique pull anchor cable
Position determines, which is characterized in that this method specifically includes following steps：
Step 1. establishes gob side entry retaining top plate sheet model, determines the boundary condition of thin plate：According to practical gob side entry retaining top plate
Rock stratum condition and lane cross dimensions is stayed, establish thin plate geometrical model, and determine that the boundary condition of thin plate be tunnel is axially opposite side
Freely, the mined out side in tunnel is simple boundary, tunnel entity coal side is built-in boundary, and the amount of deflection expression formula of thin plate is established with this.
Maximum principal stress distribution expression formula in thin plate is calculated in step 2.：By amount of deflection expression formula and thin plate boundary condition simultaneous meter
Calculate the amount of deflection analytic solutions of thin plate, analytic solutions asked, thin plate internal force formula is substituted into after partial differential, after three principal stresses are expressed again
In formula substitution thin plate in the maximum and minimum principal stress expression formula of any point, the maximum principal stress distribution solution in thin plate is finally obtained.
Step 3. calculates the stress proportionality coefficient of top plate thin slate layer：By thin plate maximum principal stress solution divided by the tension of thin slate layer
Intensity obtains the stress proportionality coefficient of thin slate layer.
Step 4. determines gob side entry retaining oblique pull anchor cable position：Using proportionality coefficient as judge roof strata destroy whether according to
According to it is exactly the position for arranging oblique pull anchor cable to destroy position.
2. according to the method described in claim 1, it is characterized in that, the boundary condition expression formula of the thin plate in the step 1 is：
Simple supported edge：
Clamped side：
Free margins：For y=-b/2 free margins,
For y=b/2 free margins,
The elastic surface governing equation of thin plate is：
In formula：A be drift section transverse direction web width, m；B be tunnel axial direction thin plate length, m；W be thin plate amount of deflection, m；
wX=a/2、wX=-a/2For the amount of deflection at thin plate a/2 and-a/2, m；M be thin plate moment of flexure, N.m；My0、MybRespectively in thin plate-b/2
With moment of flexure at b/2, N.m；V be external force potential energy, J；Vy0、VybFor external force potential energy, J at thin plate-b/2 and b/2；V is thin plate Poisson
Than；Load of the q for thin plate upper surface, Pa；D be thin plate bending stiffness, N/m；It is deformed for thin plate curved surface, m.
3. according to the method described in claim 2, it is characterized in that, the amount of deflection expression formula in the step 2 is：
Further derive, the step 2 in amount of deflection expression formula be：
Thin plate maximum principal stress expression formula in the step 2 is：
In formula：M is numerical value, takes 1,2,3 ...；E be thin plate elastic modulus, GPa；YmFor undetermined coefficient；σ1、σ3Respectively in thin plate
Minimum and maximum principal stress, MPa.
4. according to the method described in claim 3, it is characterized in that, the stress ratio coefficient calculation method in the step 3 is：
In formula：F (x, y) is stress proportionality coefficient；σtFor rock beam tensile strength, MPa.
5. according to the method described in claim 4, it is characterized in that, determining gob side entry retaining oblique pull anchor cable cloth in the step 4
Seated position method is：
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201810014063.0A CN108266211B (en) | 2018-01-08 | 2018-01-08 | Method for determining reinforcement position of stayed anchor cable of gob-side entry retaining roof |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201810014063.0A CN108266211B (en) | 2018-01-08 | 2018-01-08 | Method for determining reinforcement position of stayed anchor cable of gob-side entry retaining roof |
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| Publication Number | Publication Date |
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| CN108266211A true CN108266211A (en) | 2018-07-10 |
| CN108266211B CN108266211B (en) | 2023-05-23 |
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| CN201810014063.0A Active CN108266211B (en) | 2018-01-08 | 2018-01-08 | Method for determining reinforcement position of stayed anchor cable of gob-side entry retaining roof |
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Citations (6)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| US4051683A (en) * | 1976-06-28 | 1977-10-04 | Jennmar Corporation | Method and apparatus for supporting a mine roof |
| US4630974A (en) * | 1985-03-13 | 1986-12-23 | Price & Adams | Roof support system for a mine and method for providing the same |
| CN105160188A (en) * | 2015-09-16 | 2015-12-16 | 中国矿业大学(北京) | Method for determining support length of broken roadway close to collapse column |
| CN105781597A (en) * | 2014-12-16 | 2016-07-20 | 淮南矿业(集团)有限责任公司 | Method for performing anchoring and grouting reinforcement inside deep well soft rock gob-side entry retaining |
| CN105893325A (en) * | 2016-06-03 | 2016-08-24 | 江西理工大学 | Method for judging stability of metal mine artificial pillar |
| CN106014413A (en) * | 2016-07-12 | 2016-10-12 | 中国矿业大学(北京) | Method for implementing combined supporting on goaf-along driven roadway and adjacent roadway in thick coal layer |
-
2018
- 2018-01-08 CN CN201810014063.0A patent/CN108266211B/en active Active
Patent Citations (6)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| US4051683A (en) * | 1976-06-28 | 1977-10-04 | Jennmar Corporation | Method and apparatus for supporting a mine roof |
| US4630974A (en) * | 1985-03-13 | 1986-12-23 | Price & Adams | Roof support system for a mine and method for providing the same |
| CN105781597A (en) * | 2014-12-16 | 2016-07-20 | 淮南矿业(集团)有限责任公司 | Method for performing anchoring and grouting reinforcement inside deep well soft rock gob-side entry retaining |
| CN105160188A (en) * | 2015-09-16 | 2015-12-16 | 中国矿业大学(北京) | Method for determining support length of broken roadway close to collapse column |
| CN105893325A (en) * | 2016-06-03 | 2016-08-24 | 江西理工大学 | Method for judging stability of metal mine artificial pillar |
| CN106014413A (en) * | 2016-07-12 | 2016-10-12 | 中国矿业大学(北京) | Method for implementing combined supporting on goaf-along driven roadway and adjacent roadway in thick coal layer |
Non-Patent Citations (1)
| Title |
|---|
| 孙伟;谢飞鸿;郭磊;: "基于弹性薄板理论的巷道层状顶板破坏的能量法分析", 石家庄铁道学院学报(自然科学版) * |
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