CN110263421A - Group's pulling force effect ball crown type Slope Stability Evaluation method based on coefficient transfer method - Google Patents
Group's pulling force effect ball crown type Slope Stability Evaluation method based on coefficient transfer method Download PDFInfo
- Publication number
- CN110263421A CN110263421A CN201910524264.XA CN201910524264A CN110263421A CN 110263421 A CN110263421 A CN 110263421A CN 201910524264 A CN201910524264 A CN 201910524264A CN 110263421 A CN110263421 A CN 110263421A
- Authority
- CN
- China
- Prior art keywords
- annular
- stick
- pulling force
- crown type
- ball crown
- Prior art date
- Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
- Pending
Links
Classifications
-
- 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
-
- 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
Abstract
The invention discloses group's pulling force effect ball crown type Slope Stability Evaluation method based on coefficient transfer method, implementation process is as follows: ball crown type side slope being divided into several annular sticks, obtains each annular stickW i , sliding surface areaA 1i ；By ball crown type side slope, symmetrically any one axial direction stretches to form a section, and each annular stick forms a section on section, obtains each annular stick cross-sectional area on sectionA 2i , sliding surface 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 coefficient transfer method and improves, group's pulling force is added in formula simultaneously, improved coefficient transfer method 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 ball crown type based on coefficient transfer method
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 error calculated of three-dimensional effect this for ball crown type side slope is larger, while such methods are not also examined
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 that slope stability is commented
Problem to be solved in valence.
The present invention passes through consideration based on two dimension limit equilibrium analysis method coefficient transfer method common in current engineering
Coefficient transfer method is modified to be suitable for three-dimensional ball crown type side slope, while considering slope surface by the arching of ball crown type side slope
The case where by group's pulling force effect, calculated result is made more to tally with the actual situation.
Summary of the invention
In view of the above-mentioned problems, the technical problem to be solved in the present invention is to provide group's pulling force effect balls based on coefficient transfer method
Crown type Slope Stability Evaluation method, to solve existing coefficient transfer method in evaluation group's pulling force effect three-dimensional ball crown type side slope stability
The deficiency of aspect.
The technical solution adopted by the present invention are as follows: group's pulling force effect ball crown type Slope Stability Evaluation based on coefficient transfer method
Method, implementation process are as follows:
Step 1: ball crown type side slope is divided into several annular sticks, obtains the gravity W of each annular sticki, sliding surface area
A1i；
Step 2: by ball crown type side slope, symmetrically any one axial direction stretches to form a section, each annular stick
A section is formed on section, obtains each annular stick cross-sectional area A on section2i, sliding surface inclination angle thetai；
Step 3: Side Slope Safety Coefficient F is iterated to calculate by following equations；
Pn=0
Pi=Pi-1ψi-1+Ti-R1i/Fs-R2i/Fs
Ti=(Wi-Fyi)sinθi+Fxicosθi
In formula, c1iFor the sliding surface cohesive strength of i-th of annular stick；It rubs in sliding surface for i-th of annular stick
Angle；c2iFor the gliding mass cohesive strength of i-th of annular stick；For the gliding mass internal friction angle of i-th of annular stick；FxiIt is i-th
The summation of annular all pulling force of stick component size in the horizontal plane；FyiVertically divide for i-th of annular all pulling force of stick
The summation of power size；PnFor n-th of annular stick residual pushing force；PiIt is surplus for i-th of annular stick and the annular stick of i+1
Remaining sliding force；TiThe sliding force generated for i-th of annular stick gravity and pulling force；ψi-1It is (i-1)-th annular stick to i-th
The carry-over factor of annular stick；R1iThe antiskid shearing generated for i-th of annular stick gravity and pulling force；R2iFor i-th of annular bar
The antiskid shearing that block axial force generates.
Wherein, the formula in step 3 based on coefficient transfer method and considers tribute of the axial force to skid resistance of annular stick
It offers, it is new to introduce 3 hypothesis: (1) only to consider annular when annular stick Axial Force Calculating other than the basic assumption of coefficient transfer method
The axial force that the horizontal component of stick gravity generates；(2) when i-th of annular stick sliding surface inclination angle thetaiWhen≤0, annular stick axis is enabled
The antiskid generated to power shears R2i=0；The antiskid that (3) i-th of annular stick axial force generate shears R2i, direction and the ring
Shape stick glide direction is on the contrary, position is located in the annular stick center of gravity.
Wherein, in step 3, 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 coefficient transfer method and changes
Into, while group's pulling force being added in formula, improved coefficient transfer method can be used for evaluating group pulling force effect ball crown type side
The stability on slope, and calculating process is simple, provides a kind of calculating knot for the estimation of stability of group's pulling force effect ball crown type side slope
The more reasonable method of fruit.
Detailed description of the invention
Detailed description will be given by the following detailed implementation and drawings by the present invention for ease of explanation,.
Fig. 1 is the structural schematic diagram of annular stick i in embodiment of the present invention；
Fig. 2 is annular stick section force analysis figure in embodiment of the present invention；
Fig. 3 is the structural schematic diagram of annular stick and equivalent annular stick 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 the embodiment of the present invention；
Fig. 5 is the ball crown type slope discontinuity calculating parameter figure in the 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 pulling force effect ball crown type Slope Stability Evaluation method of the present embodiment based on coefficient transfer method, in fact
It is as follows to apply process: taking the annular stick i of any one in Fig. 4, as shown in Figure 1.
Its arbitrary section is taken as shown in Fig. 2, by annular stick gravity WiBy decomposing to obtain its horizontal component W twiceix, Wix
Shown in calculation formula such as formula (1).
Wix=Wisinθicosθi (1)
Gravity horizontal component WixAn annular can be formed on annular stick be evenly distributed with line load qi, evenly load qiAlso it is
Horizontal direction is simultaneously directed toward symmetry axis, qiShown in calculation formula such as formula (2).
In formula, riFor the gravity W of annular stick iiTo the distance of symmetry axis.
The uniformly distributed line load q of annulariAxial compressive force F can be generated inside annular stickNi, FNiCalculation formula such as formula (3) institute
Show.
FNi=qiri (3)
Formula (1) and (2) are substituted into formula (3) arrangement to obtain formula (4), the physical significance of formula (4) is made in gravity
When being slided with lower annular stick i to symmetry axis, the axial compressive force F of generation inside annular stick iNi。
Compared with conventional strip stick, annular stick is in gravity WiEffect is lower to generate additional axial compressive force FNi。
The strip stick that a section is identical as annular stick and length is equal with annular stick perimeter is now established, is named as
Imitate annular stick i, and by axial compressive force FNiThe two sides of equivalent annular stick i are applied to as shown in figure 3, later by equivalent annular
Stick i is as research object.
By a mole coulomb criterion of strength, the antiskid shearing R on equivalent annular two sides stick i can be obtained2i, R2iIt calculates public
Shown in formula such as formula (5).
Formula (4) substitution formula (5) is obtained into formula (6).
Due to the skid resistance R of equivalent annular stick i2iPresence so that the longer straight flange slope meeting of safety coefficient of annular convex slope
More Gao Yidian.By R2iIt is introduced into coefficient transfer method, is rounded an equivalent annular stick i as research object.
Shown in original coefficient transfer method calculation formula such as formula (7)
Pn=0 (7-1)
Pi=Pi-1ψi-1+Ti-R1i/Fs (7-2)
Ti=Wisinθi (7-4)
Now by pulling force FxiAnd FyiThe formula (7-4) in formula (7) is added, in formula (7-5), FxiNormal direction and tangential component
Respectively FxisinθiAnd Fxicosθi, FyiNormal direction and tangential component are respectively FyicosθiAnd Fyisinθi, by formula (7) after addition
Obtain formula (8).
Pn=0 (8-1)
Pi=Pi-1ψi-1+Ti-R1i/Fs (8-2)
Ti=(Wi-Fyi)sinθi+Fxicosθi (8-4)
Antiskid is sheared into R2iIt is added in the formula (8-2) in formula (8), formula (9) is obtained by formula (8) after addition.
Pn=0 (9-1)
Pi=Pi-1ψi-1+Ti-R1i/Fs-R2i/Fs (9-2)
Ti=(Wi-Fyi)sinθi+Fxicosθi (9-4)
Embodiment: step 1: group's pulling force effect ball crown type side slope three-dimensional model calculating parameter figure is as shown in figure 4, be divided into
The gliding mass bulk density of 10 annular sticks, all annular sticks is 25kN/m3.The sliding surface cohesive strength c of all annular sticks1iIt is
33kPa, internal friction angleIt is 35 °；The gliding mass cohesive strength c of all annular sticks2iIt is equally 33kPa, internal friction angle
It is equally 35 °.The gravity W of 10 annular sticksiWith sliding surface area A1i, as shown in table 1；The annular each pulling force of stick is in level
On face and vertically upper component is 50kN, the summation F of all pulling force of each annular stick component size in the horizontal planexiWith it is vertical
The summation F of upper component sizeyiAs shown in table 2.
The gravity W of the annular stick of table 1iWith sliding surface area A1i
The annular stick F of table 2xiAnd Fyi
| Block number | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
| Fxi(kN) | 2400 | 2200 | 2000 | 1800 | 1600 | 1400 | 1200 | 800 | 600 | 400 |
| Fyi(kN) | 2400 | 2200 | 2000 | 1800 | 1600 | 1400 | 1200 | 800 | 600 | 400 |
Step 2: ball crown type slope discontinuity calculating parameter figure is as shown in figure 5, each annular stick cross-sectional area A2i, sliding surface
Inclination angle thetai, as shown in table 3.
The annular stick cross-sectional area A of table 32iWith sliding surface inclination angle thetai
Step 3: it is iterated by formula and calculates safety coefficient Fs,
Pn=0
Pi=Pi-1ψi-1+Ti-R1i/Fs-R2i/Fs
Ti=(Wi-Fyi)sinθi+Fxicosθi
Iteration 7 times altogether, each iteration result is respectively 2.60,2.62,2.61,2.605,2.603,2.602,2.601.It is logical
Iterative calculation is crossed, obtains final safety coefficient Fs=2.601.
The present invention considers that the arching of ball crown type side slope introduces new hypothesis to coefficient transfer method and improves, while in public affairs
Group's pulling force is added in formula, improved coefficient transfer method can be used for evaluating group stability of pulling force effect ball crown type side slope,
And calculating process is simple, for the estimation of stability of group's pulling force effect ball crown type side slope, to provide a kind of calculated result more reasonable
Technical method.
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 (3)
1. group's pulling force effect ball crown type Slope Stability Evaluation method based on coefficient transfer method, it is characterised in that: it was implemented
Journey is as follows:
Step 1: ball crown type side slope is divided into several annular sticks, obtains the gravity W of each annular sticki, sliding surface area A1i；
Step 2: by ball crown type side slope, symmetrically any one axial direction stretches to form a section, and each annular stick is cuing open
A section is formed on face, obtains each annular stick cross-sectional area A on section2i, sliding surface inclination angle thetai；
Step 3: Side Slope Safety Coefficient F is iterated to calculate by following equations；
Pn=0
Pi=Pi-1ψi-1+Ti-R1i/Fs-R2i/Fs
Ti=(Wi-Fyi)sinθi+Fxi cosθi
In formula, c1iFor the sliding surface cohesive strength of i-th of annular stick；For the sliding surface internal friction angle of i-th of annular stick；c2i
For the gliding mass cohesive strength of i-th of annular stick；For the gliding mass internal friction angle of i-th of annular stick；FxiFor i-th of annular bar
The summation of all pulling force of block component size in the horizontal plane；FyiFor i-th of annular all pulling force of stick vertically component size
Summation；PnFor n-th of annular stick residual pushing force；PiIt glides for i-th of annular stick and the annular stick residue of i+1
Power；TiThe sliding force generated for i-th of annular stick gravity and pulling force；ψi-1It is (i-1)-th annular stick to i-th of annular bar
The carry-over factor of block；R1iThe antiskid shearing generated for i-th of annular stick gravity and pulling force；R2iIt is axial for i-th of annular stick
The antiskid shearing that power generates.
2. group's pulling force effect ball crown type Slope Stability Evaluation method according to claim 1 based on coefficient transfer method,
It is characterized by: the formula in the step three based on coefficient transfer method and considers the axial force of annular stick to skid resistance
Contribution, it is new to introduce 3 hypothesis: (1) only to consider ring when annular stick Axial Force Calculating other than the basic assumption of coefficient transfer method
The axial force that the horizontal component of shape stick gravity generates；(2) when i-th of annular stick sliding surface inclination angle thetaiWhen≤0, annular stick is enabled
The antiskid that axial force generates shears R2i=0；The antiskid that (3) i-th of annular stick axial force generate shears R2i, direction with should
Annular stick glide direction is on the contrary, position is located in the annular stick center of gravity.
3. group's pulling force effect ball crown type Slope Stability Evaluation method according to claim 1 based on coefficient transfer method,
It is characterized by: the direction of each pulling force will be directed toward symmetry axis in the step three.
Priority Applications (2)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201910524264.XA CN110263421A (en) | 2019-06-18 | 2019-06-18 | Group's pulling force effect ball crown type Slope Stability Evaluation method based on coefficient transfer method |
| CN201910908440.XA CN110750873B (en) | 2019-06-18 | 2019-09-25 | Group tension action spherical crown type slope stability evaluation method based on transfer coefficient method |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201910524264.XA CN110263421A (en) | 2019-06-18 | 2019-06-18 | Group's pulling force effect ball crown type Slope Stability Evaluation method based on coefficient transfer method |
Publications (1)
| Publication Number | Publication Date |
|---|---|
| CN110263421A true CN110263421A (en) | 2019-09-20 |
Family
ID=67918876
Family Applications (2)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| CN201910524264.XA Pending CN110263421A (en) | 2019-06-18 | 2019-06-18 | Group's pulling force effect ball crown type Slope Stability Evaluation method based on coefficient transfer method |
| CN201910908440.XA Active CN110750873B (en) | 2019-06-18 | 2019-09-25 | Group tension action spherical crown type slope stability evaluation method based on transfer coefficient method |
Family Applications After (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| CN201910908440.XA Active CN110750873B (en) | 2019-06-18 | 2019-09-25 | Group tension action spherical crown type slope stability evaluation method based on transfer coefficient method |
Country Status (1)
| Country | Link |
|---|---|
| CN (2) | CN110263421A (en) |
Cited By (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN110689969A (en) * | 2019-09-25 | 2020-01-14 | 贵州正业工程技术投资有限公司 | Arc-shaped concave slope stability evaluation method based on simple plane sliding method |
| CN110674550B (en) * | 2019-09-25 | 2021-03-26 | 贵州正业工程技术投资有限公司 | Arc-shaped concave slope stability evaluation method based on transfer coefficient method |
Family Cites Families (10)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| US10697629B2 (en) * | 2011-05-13 | 2020-06-30 | Rochester Institute Of Technology | Devices with an enhanced boiling surface with features directing bubble and liquid flow and methods thereof |
| JP2015164166A (en) * | 2014-02-03 | 2015-09-10 | 水谷電機工業株式会社 | Radiator and manufacturing method for the same |
| DE112016003739T5 (en) * | 2015-08-17 | 2018-04-26 | Nlight, Inc. | Heat spreaders with optimized thermal expansion coefficient and / or heat transfer |
| CN105332381B (en) * | 2015-11-10 | 2018-03-20 | 长安大学 | A kind of reinforced slope method for analyzing stability |
| CN108334690B (en) * | 2018-01-30 | 2021-05-11 | 中冶沈勘工程技术有限公司 | Reaction beam structure design method for multi-anchor-rod reaction beam loading test and multi-anchor-rod reaction beam loading test design method |
| CN108445536B (en) * | 2018-02-07 | 2020-09-04 | 成都理工大学 | Energy demodulation spectrum-based layered slope earthquake damage instability calculation system and method |
| CN109115994B (en) * | 2018-08-27 | 2021-03-12 | 中国科学院、水利部成都山地灾害与环境研究所 | Slope shattering soil block stability calculation method |
| CN109190294B (en) * | 2018-09-27 | 2022-10-21 | 合肥工业大学 | Design and optimization method for slope cutting and reinforcing scheme of huge thick landslide under reservoir water level change condition |
| CN109598013A (en) * | 2018-09-30 | 2019-04-09 | 青岛理工大学 | The determination method of thrust load caused landslide most dangerous sliding surface and the optimal stake position of friction pile |
| CN110232248B (en) * | 2019-06-18 | 2020-08-07 | 贵州正业工程技术投资有限公司 | Annular convex slope stability evaluation method based on transfer coefficient method |
-
2019
- 2019-06-18 CN CN201910524264.XA patent/CN110263421A/en active Pending
- 2019-09-25 CN CN201910908440.XA patent/CN110750873B/en active Active
Cited By (3)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN110689969A (en) * | 2019-09-25 | 2020-01-14 | 贵州正业工程技术投资有限公司 | Arc-shaped concave slope stability evaluation method based on simple plane sliding method |
| CN110674550B (en) * | 2019-09-25 | 2021-03-26 | 贵州正业工程技术投资有限公司 | Arc-shaped concave slope stability evaluation method based on transfer coefficient method |
| CN110689969B (en) * | 2019-09-25 | 2021-03-26 | 贵州正业工程技术投资有限公司 | Arc-shaped concave slope stability evaluation method based on simple plane sliding method |
Also Published As
| Publication number | Publication date |
|---|---|
| CN110750873A (en) | 2020-02-04 |
| CN110750873B (en) | 2021-01-15 |
Similar Documents
| Publication | Publication Date | Title |
|---|---|---|
| CN110232248A (en) | Convex annular Slope Stability Evaluation method based on coefficient transfer method | |
| CN110263422A (en) | Convex annular Slope Stability Evaluation method based on simple flat surface sliding scale | |
| CN110245429A (en) | Convex annular Slope Stability Evaluation method based on Bishop approach | |
| CN110197047A (en) | Convex annular Slope Stability Evaluation method based on Janbu method | |
| CN110263421A (en) | Group's pulling force effect ball crown type Slope Stability Evaluation method based on coefficient transfer method | |
| Daniels et al. | Quadrilateral mesh simplification | |
| Herzig et al. | A visualization study of secondary flows in cascades | |
| CN110263423A (en) | Group's pulling force effect ball crown type Slope Stability Evaluation method based on Janbu method | |
| You et al. | Adaptive meshing for finite element analysis of heterogeneous materials | |
| CN108446471B (en) | Mountain area electromagnetic field prediction technique based on three-dimensional moment method and two-dimentional Fast Multiple Method | |
| CN111104746A (en) | River flood beach elevation determination method based on wavelet analysis | |
| CN103995944B (en) | A kind of free air anomaly extreme value unbiased isopleth map method for drafting | |
| CN109992748A (en) | A kind of river mouth tidal level harmonic analysis method | |
| CN110263424A (en) | Group's pulling force effect ball crown type Slope Stability Evaluation method based on simple flat surface sliding scale | |
| Hu et al. | Experimental investigation on the transition of separation/attachment in steady laminar juncture flows | |
| CN107239629B (en) | Fractal dimension analysis method for determining reasonable size of rock structural plane laboratory | |
| CN105488477A (en) | Apparent density peak detection algorithm based on double-check | |
| CN110489935A (en) | Group's pulling force effect ball crown type Slope Stability Evaluation method based on Bishop approach | |
| CN107577894B (en) | Real-time binary encryption-decryption method for quadrilateral unit | |
| MX2022013992A (en) | Material properties from two-dimensional image. | |
| Amiri-Jaghargh et al. | Low speed/low rarefaction flow simulation in micro/nano cavity using DSMC method with small number of particles per cell | |
| Hu et al. | Two-Grid method for Burgers’ equation by a new mixed finite element scheme | |
| Norbury | An Approximate Method for the Calculation of Turbulent Boundary Layers in Diffusers | |
| CN105160709B (en) | Sampled data conformal compressing method in surface in kind | |
| McAufield | Lagrangian study of the Southern Ocean circulation |
Legal Events
| Date | Code | Title | Description |
|---|---|---|---|
| PB01 | Publication | ||
| PB01 | Publication | ||
| SE01 | Entry into force of request for substantive examination | ||
| SE01 | Entry into force of request for substantive examination | ||
| WD01 | Invention patent application deemed withdrawn after publication | ||
| WD01 | Invention patent application deemed withdrawn after publication |
Application publication date: 20190920 |