CN110489935A - Group's pulling force effect ball crown type Slope Stability Evaluation method based on Bishop approach - Google Patents
Group's pulling force effect ball crown type Slope Stability Evaluation method based on Bishop approach Download PDFInfo
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Abstract
The invention discloses group's pulling force effect ball crown type Slope Stability Evaluation method based on Bishop approach, implementation process is as follows: ball crown type side slope being divided into several annular sticks, obtains the radius of each annular stickr i ；Choosing angle is ΔψMultiple segments, obtain each segmentiHeighth i , base lengthl i , bottom surface and horizontal plane inclination angleθ i ；Side Slope Safety Coefficient is iterated to calculate by following equationF s .Consider that the arching of ball crown type side slope introduces new hypothesis to Bishop approach and improves, group's pulling force is added in formula simultaneously, improved Bishop approach can be used for evaluating group stability of pulling force effect ball crown type side slope, and calculating process is simple, the estimation of stability for group's pulling force effect ball crown type side slope provides a kind of method that calculated result is more reasonable.
Description
Technical field
The present invention relates to Slope Stability Evaluation methods, more particularly to group's pulling force effect spherical crown based on Bishop approach
Type Slope Stability Evaluation method.
Background technique
In mountain area engineering construction and landslide disaster forecast analysis, side slope of various shapes can be encountered, side slope is such as investigated and exists
Shape in horizontal plane, can be classified as convex, spill and linear, and the spatial form of side slope undoubtedly has shadow to its stability
It rings.Strictly speaking, Analysis of Slope Stability belongs to space problem, is more tallied with the actual situation using three dimensional analysis method, and engineering
The evaluation of upper Slope Stability, it is general using two-dimentional limit equilibrium method, such methods for linear side slope computational accuracy still
Can, but the significant side slope calculated result of three-dimensional effect this for ball crown type side slope can be overly conservative, while such methods are not yet
Consider the case where slope surface is by group's pulling force effect.How to analyze group stability of pulling force effect ball crown type side slope is slope stability
Problem to be solved in evaluation.
The present invention is based on two dimension limit equilibrium analysis method Bishop approach common in current engineering, by examining
Bishop approach is modified to be suitable for three-dimensional ball crown type side slope, considers simultaneously by the arching for considering ball crown type side slope
The case where slope surface is by group's pulling force effect, makes calculated result more tally with the actual situation.
Summary of the invention
In view of the above-mentioned problems, the problem to be solved in the present invention is: providing group's pulling force effect ball based on Bishop approach
Crown type Slope Stability Evaluation method, to solve existing two-dimentional limit equilibrium method in evaluation group's pulling force effect three-dimensional ball crown type side slope
Deficiency in terms of stability.
Group's pulling force effect ball crown type Slope Stability Evaluation method based on Bishop approach, implementation process are as follows:
Step 1: ball crown type side slope is divided into several annular sticks, obtains the radius r of each annular sticki；
Step 2: multiple segments that angle is Δ ψ are chosen, the height h of each segment i is obtainedi, base length li, bottom
Face and horizontal plane inclination angle thetai；
Step 3: Side Slope Safety Coefficient F is iterated to calculate by following equations；
In formula, c1iFor the sliding surface cohesive strength of i-th of segment；For the sliding surface internal friction angle of i-th of segment；c2i
For the cohesive strength of i-th of segment soil body；For the internal friction angle of i-th of segment soil body；γiFor the soil of i-th of segment
Body bulk density；FxiFor the summation of i-th of annular all pulling force of stick component size in the horizontal plane；FyiFor i-th of annular stick institute
There is the summation of pulling force vertically component size；TiThe skid resistance generated for i-th of segment axial compressive force；RiFor i-th of sector
The T of bodyiTo the torque in the circular surface center of circle；R is circular surface radius；Ri0For the F in i-th of segmentxiResultant force is sliding to circular arc
The torque in face.
Wherein, Δ ψ can usually choose the angle less than 20 ° in the step two.
Wherein, the formula in the step three based on Bishop approach and considers the axial compressive force of segment to antiskid
The contribution of power, it is new to introduce 1 hypothesis: what i-th of segment axial compressive force generated other than the basic assumption of Bishop approach
Skid resistance Ti, position is located in the center of gravity of the segment.
Wherein, in the step three, the direction of each pulling force will be directed toward symmetry axis.
Beneficial effects of the present invention: consider that the arching of ball crown type side slope introduces new hypothesis to Bishop approach and carries out
It improves, while group's pulling force being added in formula, improved Bishop approach can be used for evaluating group pulling force effect spherical crown
The stability of type side slope, and calculating process is simple, the estimation of stability for group's pulling force effect ball crown type side slope provides a kind of meter
Calculate the more reasonable method of result.
Detailed description of the invention
Fig. 1 is the structural schematic diagram of segment i in embodiment of the present invention；
Fig. 2 is segment i axial force force analysis figure in embodiment of the present invention；
Fig. 3 is the Bishop approach force analysis figure of segment i in embodiment of the present invention；
Fig. 4 is group's pulling force effect ball crown type side slope three-dimensional model calculating parameter figure in embodiment of the present invention.
Specific embodiment
Technical solution of the present invention is clearly and completely described below in conjunction in the embodiment of the present invention, it is clear that retouched
The embodiment stated is only a part of the embodiment of the present invention, instead of all the embodiments.Based on the embodiments of the present invention, originally
Field those of ordinary skill every other embodiment obtained without making creative work, belongs to the present invention
The range of protection.
Group's pulling force effect ball crown type Slope Stability Evaluation method based on Bishop approach, specific implementation process is such as
Under: take the segment i that an angle is Δ ψ in Fig. 4 as shown in Figure 1.
By soil body unconfined compressive strength σciObtain segment i soil body axial compressive resistance FNi, calculation formula such as formula (1)
(2) shown in.
FNi=σcihilicosθi (1)
When Δ ψ very little, segment i soil body axial compressive resistance FNiA skid resistance T can be generatedi, TiDirection is horizontal and carries on the back
From symmetry axis as shown in Fig. 2, TiShown in calculation formula such as formula (3).
Safety coefficient is introduced, formula (1) and (2) are brought into (3) and obtain formula (4).
Due to the skid resistance T of segment iiPresence so that the longer straight flange slope of the safety coefficient of ball crown type side slope can be higher
A bit.By TiIt is introduced into Bishop approach, takes segment i as research object, the section where taking its center of gravity does stress
Analysis is as shown in figure 3, O is the center of circle of circular surface.
By vertical resultant force ∑ Fz=0 obtains formula (5).
In formula, NiFor normal force of the segment i on sliding surface, Ti0For skid resistance of the segment i on sliding surface.
By torque summation ∑ MO=0 obtains formula (6).
∑(γiriΔψhilicosθi-FyiΔψ/2π)Rsinθi=∑ Ti0R+∑TiRi-∑FxiRi0Δψ/2π (6)
By mole coulomb criterion of strength and introduce safety coefficient FsT can be obtainedi0, as shown in formula (7).
Formula (5) are substituted into formula (7) arrangement and obtain formula (8).
It arranges formula (8) substitution formula (6) the Δ ψ that divides out to obtain formula (9).
Embodiment: step 1: group's pulling force effect ball crown type side slope is divided into 8 annular sticks, calculating parameter: γiIt is
25kN/m3；c1iIt is 100kPa,It is 45 °；c2iIt is 100kPa,It is 45 °；R is 152.5m；riSuch as 1 institute of table
Show；FxiAnd FyiAs shown in table 2.
The annular stick radius r of table 1i
| Block number | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 |
| ri(m) | 125.9 | 113.6 | 102.6 | 92.6 | 83.6 | 74.6 | 64.6 | 55.6 |
The annular stick F of table 2xiAnd Fyi
| Block number | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 |
| Fxi(kN) | 2000 | 1800 | 1600 | 1400 | 1200 | 800 | 600 | 400 |
| Fyi(kN) | 2000 | 1800 | 1600 | 1400 | 1200 | 800 | 600 | 400 |
Step 2: multiple segments that angle is Δ ψ, h are choseni、li、θi、Ri、Ri0As shown in table 3.
3 segment h of tablei、li、θi、Ri、Ri0
| Segment number | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 |
| hi(m) | 18.5 | 44.8 | 49.4 | 43.3 | 36.1 | 27.4 | 16.8 | 5.4 |
| li(m) | 35.3 | 24.3 | 17.0 | 11.6 | 12.4 | 11.1 | 12.9 | 9.9 |
| θi(°) | 68 | 57 | 49 | 44 | 39 | 35 | 30 | 26 |
| Ri(m) | 52.6 | 63.6 | 75.6 | 88.6 | 100.6 | 111.6 | 122.6 | 132.6 |
| Ri0(m) | 41.5 | 41.5 | 50.9 | 67.3 | 82.3 | 98.0 | 115.0 | 131.8 |
Step 3: it is iterated by formula and calculates safety coefficient Fs,
Iteration 9 times altogether, each iteration result is respectively 1.278,1.43,1.50,1.53,1.542,1.547,1.549,
1.55 1.55.By iterative calculation, final safety coefficient F is obtaineds=1.55.
The present invention considers that the arching of ball crown type side slope introduces new hypothesis to Bishop approach and improves, while
Group's pulling force is added in formula, improved Bishop approach can be used for evaluating group stabilization of pulling force effect ball crown type side slope
Property, and calculating process is simple provides a kind of calculated result and more closes for the estimation of stability of group's pulling force effect ball crown type side slope
The method of reason.
It although an embodiment of the present invention has been shown and described, for the ordinary skill in the art, can be with
A variety of variations, modification, replacement can be carried out to these embodiments without departing from the principles and spirit of the present invention by understanding
And modification, the scope of the present invention is defined by the appended.
Claims (4)
1. group's pulling force effect ball crown type Slope Stability Evaluation method based on Bishop approach, it is characterised in that: it is implemented
Process is as follows:
Step 1: ball crown type side slope is divided into several annular sticks, obtains the radius r of each annular sticki；
Step 2: multiple segments that angle is Δ ψ are chosen, the height h of each segment i is obtainedi, base length li, bottom surface with
Horizontal plane inclination angle thetai；
Step 3: Side Slope Safety Coefficient F is iterated to calculate by following equations；
In formula, c1iFor the sliding surface cohesive strength of i-th of segment；For the sliding surface internal friction angle of i-th of segment；c2iIt is i-th
The cohesive strength of a segment soil body；For the internal friction angle of i-th of segment soil body；γiHold for the soil body of i-th of segment
Weight；FxiFor the summation of i-th of annular all pulling force of stick component size in the horizontal plane；FyiFor i-th of all drawing of annular stick
The summation of power vertically component size；TiThe skid resistance generated for i-th of segment axial compressive force；RiFor i-th segment
TiTo the torque in the circular surface center of circle；R is circular surface radius；Ri0For the F in i-th of segmentxiResultant force arrives circular surface
Torque.
2. group's pulling force effect ball crown type Slope Stability Evaluation side according to claim 1 based on Bishop approach
Method, it is characterised in that: Δ ψ can usually choose the angle less than 20 ° in the step two.
3. group's pulling force effect ball crown type Slope Stability Evaluation side according to claim 1 based on Bishop approach
Method, it is characterised in that: the formula in the step three based on Bishop approach and considers that the axial compressive force of segment is fought
The contribution of sliding power, other than the basic assumption of Bishop approach, new to introduce 1 hypothesis: i-th of segment axial compressive force is generated
Skid resistance Ti, position is located in the center of gravity of the segment.
4. group's pulling force effect ball crown type Slope Stability Evaluation side according to claim 1 based on Bishop approach
Method, it is characterised in that: in the step three, the direction of each pulling force will be directed toward symmetry axis.
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Citations (3)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| US20150331143A1 (en) * | 2014-05-14 | 2015-11-19 | Foundation of Soongsil University-lndustry Cooperation | Method of recognizing slope condition, system using the same, and recording medium for performing the same |
| CN106855637A (en) * | 2016-12-10 | 2017-06-16 | 国家海洋局第二海洋研究所 | Underwater Slope method for analyzing stability |
| CN110245429A (en) * | 2019-06-18 | 2019-09-17 | 贵州正业工程技术投资有限公司 | Convex annular Slope Stability Evaluation method based on Bishop approach |
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Patent Citations (3)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| US20150331143A1 (en) * | 2014-05-14 | 2015-11-19 | Foundation of Soongsil University-lndustry Cooperation | Method of recognizing slope condition, system using the same, and recording medium for performing the same |
| CN106855637A (en) * | 2016-12-10 | 2017-06-16 | 国家海洋局第二海洋研究所 | Underwater Slope method for analyzing stability |
| CN110245429A (en) * | 2019-06-18 | 2019-09-17 | 贵州正业工程技术投资有限公司 | Convex annular Slope Stability Evaluation method based on Bishop approach |
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