CN114139352A - Method, system and device for acquiring maximum sag of reinforced body of reinforced embankment based on 2D-3D conversion coefficient - Google Patents

Method, system and device for acquiring maximum sag of reinforced body of reinforced embankment based on 2D-3D conversion coefficient Download PDF

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CN114139352A
CN114139352A CN202111327622.1A CN202111327622A CN114139352A CN 114139352 A CN114139352 A CN 114139352A CN 202111327622 A CN202111327622 A CN 202111327622A CN 114139352 A CN114139352 A CN 114139352A
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piles
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soil
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宫跃航
李明宝
郑俊杰
姚文杰
郭亿辉
席晨
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Northeast Forestry University
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Abstract

A method, a system and a device for obtaining the maximum sag of a reinforcement body between adjacent piles of a pile-supported reinforced embankment based on a 2D-3D conversion coefficient relate to the field of special foundation treatment. The existing calculation method for obtaining the sag of the reinforcement body between the piles is complex in calculation and does not consider the three-dimensional space effect. The invention comprises the following steps: acquiring physical parameters of the pile-supported reinforced embankment; analyzing the top micro-unit of the two-dimensional soil arch according to the physical parameters of the pile-supported reinforced embankment to obtain the vertical stress sigma at the soil center between the piles of the reinforced bodys(ii) a According to the vertical stress balance of the soil center between the piles of the reinforcement body, acquiring the maximum sag of the reinforcement body between the adjacent piles under a two-dimensional condition; establishing a three-dimensional model, and obtaining the 2D-value by utilizing the ratio of the maximum sag between the adjacent piles of the three-dimensional model to the maximum sag between the adjacent piles of the two-dimensional model3D conversion coefficient; and obtaining the maximum sag of the reinforcement body between the adjacent piles under the three-dimensional condition according to the 2D-3D conversion coefficient and the maximum sag of the reinforcement body between the adjacent piles under the two-dimensional condition. The invention is suitable for the field of application and construction.

Description

Method, system and device for acquiring maximum sag of reinforced body of reinforced embankment based on 2D-3D conversion coefficient
Technical Field
The invention belongs to the field of special foundation treatment, and particularly relates to a method for acquiring the maximum sag of a reinforcement body between adjacent piles of a pile-supported reinforced embankment based on a 2D-3D conversion coefficient.
Background
In the field of existing foundation treatment, calculation methods for obtaining the sag of the reinforcement body between piles are obtained based on two-dimensional conditions, used formulas are relatively complex, time consumption is long, and meanwhile influence of three-dimensional space effect is not considered in many calculation methods. The two-dimensional condition calculation has limitation, in actual engineering, the arrangement of piles is square or triangular, factors such as the self weight of a soil body in the range of three piles or four piles need to be considered, and meanwhile, the influence of three-dimensional factors such as the length, the width and the thickness of a pile cap needs to be considered. And under the condition of two-dimensional condition or plane strain, only two adjacent piles are analyzed, meanwhile, the pile caps only consider the length and the thickness, and the analysis is in the plane range, and the considered influence factors are far less than that of the three-dimensional condition.
Disclosure of Invention
The invention solves the problems that the existing calculation method for obtaining the sag of the reinforcement body between piles is complex in calculation and does not consider the three-dimensional space effect.
A method for obtaining the maximum sag of a reinforcement body between adjacent piles of a pile-supported reinforced embankment based on a 2D-3D conversion coefficient comprises the following steps:
acquiring physical parameters of the pile-supported reinforced embankment, wherein the physical parameters comprise the height of the embankment, the size of a pile cap, the distance between piles, the volume weight of filled soil of the embankment and an internal friction angle;
analyzing the top micro-unit of the two-dimensional soil arch according to the height of the embankment, the size of the pile caps, the distance between piles, the volume weight of the embankment filled soil and the internal friction angle, and acquiring the vertical stress sigma at the center of the soil among the piles of the reinforced bodys；
According to the vertical stress balance of the soil center between the piles of the reinforcement body, acquiring the maximum sag of the reinforcement body between the adjacent piles under a two-dimensional condition;
establishing a three-dimensional model by using simulation software, establishing a two-dimensional model by using the simulation software under the condition of the same pile spacing according to the three-dimensional model, and acquiring a 2D-3D conversion coefficient by using the ratio of the maximum sag between adjacent piles of the three-dimensional model to the maximum sag between adjacent piles of the two-dimensional model;
and obtaining the maximum sag of the reinforcement body between the adjacent piles under the three-dimensional condition according to the 2D-3D conversion coefficient and the maximum sag of the reinforcement body between the adjacent piles under the two-dimensional condition.
Analyzing the top micro-unit of the two-dimensional soil arch according to the height of the embankment, the size of the pile caps, the pile spacing, the volume weight of the embankment filled soil and the internal friction angle, and acquiring the vertical stress sigma at the soil center between reinforced body pilessThe process is as follows:
establishing a two-dimensional soil arch vertical balance equation:
Figure BDA0003347491470000021
wherein σrIs the radial stress, r is the radial distance,
Figure BDA0003347491470000022
is the central angle of the microcell body, gamma is the volume weight of the embankment filler, sigmaθIs a lateral stress;
the vertical balance equation of the two-dimensional soil arch is established, so that high-order trace is simplified and omitted
Figure BDA0003347491470000023
Obtaining a simplified vertical equilibrium equation:
Figure BDA0003347491470000024
in the limit state, the relation expression between the vault tangential stress and the radial stress is as follows:
σθ＝Kpσr，
the limit state represents the state of the soil body reaching the maximum bearing capacity or deformation which is not suitable for continuous bearing, wherein KpExpressing a Rankine passive earth pressure coefficient;
in the limit state, the two-dimensional soil arch vertical balance equation is as follows:
Figure BDA0003347491470000025
wherein C is an undetermined coefficient;
vertical stress sigma acting on lower arch surface of soil arch crowniComprises the following steps:
Figure BDA0003347491470000026
wherein s is the pile spacing, a is the pile cap diameter, and H is the embankment height;
vertical stress sigma acting at center of soil arch between pilessCan be expressed as:
Figure BDA0003347491470000027
thus, the vertical stress σ acting at the center of the soil arch between the pilessComprises the following steps:
Figure BDA0003347491470000028
vertical stress sigma at center of soil arch between pilessAlso comprises uneven distribution of vertical stress on the soil arch between piles, and load sigma 'of the soil arch acting in the range of adjacent strips between piles'sComprises the following steps:
σ′s＝0.8σs。
according to the vertical stress balance of soil center department between the reinforced body stake, obtain under the two-dimensional condition the biggest sag of the reinforced body between the adjacent stake, include:
the deformation of the reinforcement body is parabolic, and the deformation equation of the reinforcement body is as follows:
Figure BDA0003347491470000031
wherein, deltas(x) For vertical sag equation, δ, of the stiffened bodys maxThe maximum sag at the center of the reinforcement body between adjacent piles is shown, and x is an abscissa;
the grid is fixed at the pile cap edge, and the deflection angle of the grid at the pile cap edge is obtained according to the deformation equation of the grid:
Figure BDA0003347491470000032
wherein y 'is the derivative of the deformation equation of the reinforcement body at the edge of the pile cap, and delta' is the derivative of the vertical sag equation of the reinforcement body; according to the Winkler elastic foundation, the obtained foundation is an elastic foundation:
σsb(x)＝k·δs(x)，
the foundation soil reaction coefficient k value is:
Figure BDA0003347491470000033
wherein hc is the acquisition depth of the soft soil between the piles, and Es is the one-dimensional compression modulus of the soft soil layer between the piles;
acting on foundation soil counter-force uniformly distributed at the bottom of the reinforcement body
Figure BDA0003347491470000034
Comprises the following steps:
Figure BDA0003347491470000035
the vertical balance equation on the reinforcement body is as follows:
Figure BDA0003347491470000036
obtaining the maximum sag of the reinforcement bodies between the adjacent piles under the two-dimensional condition according to a balance equation
Figure BDA0003347491470000037
The one-dimensional compression modulus Es of the soft soil layer between the piles comprises:
Es＝E0(1-v)/[(1+v)(1-2v)]，
wherein E is0The elastic modulus of the soil body, v is the Poisson ratio;
for multi-layer soils, Es can be expressed as:
Es＝hcEsi/∑hi，
wherein h isiThe thickness of each layer of soil; esiIs the corresponding one-dimensional compressive modulus; h iscThe depth of the soft soil between the piles is obtained.
The method for establishing the three-dimensional model by using the simulation software, establishing the two-dimensional model by using the simulation software under the condition of the same pile spacing according to the three-dimensional model, and acquiring the 2D-3D conversion coefficient by using the ratio of the maximum sag between adjacent piles of the three-dimensional model to the maximum sag between adjacent piles of the two-dimensional model comprises the following steps of:
establishing a conversion formula of the maximum sag of the reinforcement body between the 2D-3D adjacent piles:
Figure BDA0003347491470000041
the conversion coefficient alpha of the maximum sag of the 2D-3D adjacent pile reinforcement body is
Figure BDA0003347491470000042
Wherein k is the counterforce modulus of the foundation soil, krefReference value of roadbed reaction coefficient, fpatternMu is the coefficient obtained by the pile arrangement form, fcushionThe reduction factor due to the presence of the cushion layer.
The utility model provides an acquisition system of the biggest sag of reinforcement body between adjacent stake of pile-supported reinforced embankment based on 2D-3D conversion coefficient, acquisition system includes:
an analysis unit for analyzing the top micro-cells of the two-dimensional soil arch;
vertical stress sigma for acquiring soil center between reinforced body pilessThe obtaining unit of (1);
the acquiring unit is used for acquiring the maximum sag of the reinforcement bodies between the adjacent piles under the two-dimensional condition;
a modeling unit for building a three-dimensional model;
a modeling unit for building a two-dimensional model;
the acquiring unit is used for acquiring the ratio of the maximum sag between the adjacent piles of the three-dimensional model to the maximum sag between the adjacent piles of the two-dimensional model;
and the conversion unit is used for converting the maximum sag of the reinforcement bodies between the adjacent piles of the two-dimensional model into the maximum sag of the reinforcement bodies between the adjacent piles of the three-dimensional model.
An acquisition device of the biggest sag of reinforcement between adjacent piles of pile-supported reinforced embankment based on 2D-3D conversion coefficient, the acquisition device includes:
one or more processors;
a memory; and
one or more programs, wherein the one or more programs are stored in the memory and configured to be executed by the one or more processors, the programs including instructions for performing any one of the above steps of a method for obtaining a maximum sag of an inter-pile reinforcement adjacent to a pile-supported reinforced embankment based on a 2D-3D conversion coefficient.
A computer device comprising a memory and a processor, wherein the memory stores a computer program, and when the processor runs the computer program stored in the memory, the processor executes a method for acquiring the maximum sag of a reinforcement body between adjacent piles of a pile-supported reinforced embankment based on a 2D-3D conversion coefficient, which is described in any one of the above steps.
A computer readable storage medium for storing a computer program, wherein the computer program executes any one of the above steps to perform the method for obtaining the maximum sag of the reinforcement body between adjacent piles of the pile-supported reinforced embankment based on the 2D-3D conversion coefficient.
The invention has the beneficial effects that:
the invention solves the problems that the existing calculation method for obtaining the sag of the reinforcement body between piles is complex in calculation and does not consider the three-dimensional space effect.
According to the method, the maximum sag of the reinforcement body between the adjacent piles of the two-dimensional model is converted into the maximum sag of the reinforcement body between the adjacent piles of the three-dimensional model by analyzing the vertical stress of the two-dimensional soil arch and the vertical stress at the soil center between the piles of the reinforcement body, the calculated amount is reduced, the maximum sag of the reinforcement body between the adjacent piles of the three-dimensional model can be obtained more intuitively, the time is saved, and the calculation efficiency is improved. Compared with the traditional analysis method, the maximum sag of the reinforced body between adjacent piles acquired by the three-dimensional model is simpler and more convenient, the influences of three-dimensional factors such as the size and the size of a pile cap, the pile spacing, the foundation soil reaction force and the like under the three-dimensional condition are considered, and the three-dimensional analysis condition is as close as possible to the three-dimensional practical analysis condition and is more close to the engineering practice.
The invention is suitable for the field of application and construction.
Drawings
FIG. 1 is a flow chart of a method for acquiring the maximum sag of a reinforcement body between adjacent piles of a pile-supported reinforced embankment based on a 2D-3D conversion coefficient;
FIG. 2 is a two-dimensional soil arch analysis plot;
FIG. 3 is a stress deformation diagram of a reinforcement body between adjacent piles of the pile-supported reinforced embankment based on a 2D-3D conversion coefficient;
FIG. 4 is a 3D modeling diagram of reinforcement bodies between adjacent piles of the pile-supported reinforced embankment based on a 2D-3D conversion coefficient.
Detailed Description
In order to make the objects, technical solutions and advantages of the embodiments of the present application clearer, the technical solutions in the embodiments of the present application will be clearly and completely described below with reference to the drawings in the embodiments of the present application, and it is obvious that the described embodiments are some embodiments of the present application, but not all embodiments.
First embodiment this embodiment is described with reference to fig. 1. The method for acquiring the maximum sag of the reinforcement body between adjacent piles of the pile-supported reinforced embankment based on the 2D-3D conversion coefficient comprises the following steps:
acquiring physical parameters of the pile-supported reinforced embankment, wherein the physical parameters comprise the height of the embankment, the size of a pile cap, the distance between piles, the volume weight of filled soil of the embankment and an internal friction angle;
analyzing the top micro-unit of the two-dimensional soil arch according to the height of the embankment, the size of the pile caps, the distance between piles, the volume weight of the embankment filled soil and the internal friction angle, and acquiring the vertical stress sigma at the center of the soil among the piles of the reinforced bodys；
According to the vertical stress balance of the soil center between the piles of the reinforcement body, acquiring the maximum sag of the reinforcement body between the adjacent piles under a two-dimensional condition;
establishing a three-dimensional model by using simulation software, establishing a two-dimensional model by using the simulation software under the condition of the same pile spacing according to the three-dimensional model, and acquiring a 2D-3D conversion coefficient by using the ratio of the maximum sag between adjacent piles of the three-dimensional model to the maximum sag between adjacent piles of the two-dimensional model;
and obtaining the maximum sag of the reinforcement body between the adjacent piles under the three-dimensional condition according to the 2D-3D conversion coefficient and the maximum sag of the reinforcement body between the adjacent piles under the two-dimensional condition.
In this embodiment, a two-dimensional model is established by analyzing the top micro-unit of the two-dimensional soil arch, and the maximum sag of the reinforcement body between adjacent piles is converted into the maximum sag of the reinforcement body between adjacent piles of the three-dimensional model.
Second embodiment this embodiment is described with reference to fig. 2. In this embodiment, a method for obtaining the maximum sag of a reinforcement body between adjacent piles of a pile-supported reinforced embankment based on a 2D-3D conversion coefficient is further defined, where a top micro-unit of a two-dimensional soil arch is analyzed according to an embankment height, a pile cap size, a pile spacing, a volume weight of embankment filled soil, and an internal friction angle, and a vertical stress σ at a soil center between piles of the reinforcement body is obtainedsThe process is as follows:
establishing a two-dimensional soil arch vertical balance equation:
Figure BDA0003347491470000061
wherein σrIs the radial stress, r is the radial distance,
Figure BDA0003347491470000062
is the central angle of the microcell body, gamma is the volume weight of the embankment filler, sigmaθIs a lateral stress;
the vertical balance equation of the two-dimensional soil arch is established, so that high-order trace is simplified and omitted
Figure BDA0003347491470000063
Obtaining a simplified vertical equilibrium equation:
Figure BDA0003347491470000064
in the limit state, the relation expression between the vault tangential stress and the radial stress is as follows:
σθ＝Kpσr，
the limit state represents the state of the soil body reaching the maximum bearing capacity or deformation which is not suitable for continuous bearing, wherein KpExpressing a Rankine passive earth pressure coefficient;
in the limit state, the two-dimensional soil arch vertical balance equation is as follows:
Figure BDA0003347491470000071
wherein C is an undetermined coefficient;
vertical stress sigma acting on lower arch surface of soil arch crowniComprises the following steps:
Figure BDA0003347491470000072
wherein s is the pile spacing, a is the pile cap diameter, and H is the embankment height;
vertical stress sigma acting at center of soil arch between pilessCan be expressed as:
Figure BDA0003347491470000073
thus, the vertical stress σ acting at the center of the soil arch between the pilessComprises the following steps:
Figure BDA0003347491470000074
in this embodiment, the soil arch effect in the embankment is analyzed according to the height, the volume weight, and the internal friction angle of the embankment filled with soil, and the vertical stress above the reinforcement body between adjacent piles is obtained.
Third embodiment this embodiment is described with reference to fig. 2. The embodiment is a further limitation on the method for acquiring the maximum sag of the reinforcement body between adjacent piles of the pile-supported reinforced embankment based on the 2D-3D conversion coefficient, and the vertical stress sigma at the center of the soil arch between the piles issAlso comprises uneven distribution of vertical stress on the soil arch between piles, and load sigma 'of the soil arch acting in the range of adjacent strips between piles'sComprises the following steps:
σ′s＝0.8σs。
example four this example is illustrated with reference to figure 3. The embodiment is a further limitation on the method for acquiring the maximum sag of the reinforcement body between adjacent piles of the pile-supported reinforced embankment based on the 2D-3D conversion coefficient, and the method for acquiring the maximum sag of the reinforcement body between adjacent piles under the two-dimensional condition according to the vertical stress balance at the center of soil between piles of the reinforcement body includes:
the deformation of the reinforcement body is parabolic, and the deformation equation of the reinforcement body is as follows:
Figure BDA0003347491470000081
wherein，δs(x) For vertical sag equation, δ, of the stiffened bodys maxThe maximum sag at the center of the reinforcement body between adjacent piles is shown, and x is an abscissa;
the grid is fixed at the pile cap edge, and the deflection angle of the grid at the pile cap edge is obtained according to the deformation equation of the grid:
Figure BDA0003347491470000082
wherein y 'is the derivative of the deformation equation of the reinforcement body at the edge of the pile cap, and delta' is the derivative of the vertical sag equation of the reinforcement body;
according to the Winkler elastic foundation, the obtained foundation is an elastic foundation:
σsb(x)＝k·δs(x)，
the foundation soil reaction coefficient k value is:
Figure BDA0003347491470000083
wherein hc is the acquisition depth of the soft soil between the piles, and Es is the one-dimensional compression modulus of the soft soil layer between the piles;
acting on foundation soil counter-force uniformly distributed at the bottom of the reinforcement body
Figure BDA0003347491470000084
Comprises the following steps:
Figure BDA0003347491470000085
the vertical balance equation on the reinforcement body is as follows:
Figure BDA0003347491470000086
obtaining the maximum sag of the reinforcement bodies between the adjacent piles under the two-dimensional condition according to a balance equation
Figure BDA0003347491470000087
In the implementation, the two-dimensional maximum sag is obtained according to the acquisition formula of the maximum sag of the reinforcement body between two-dimensional adjacent piles according to the parameters of vertical average stress above the reinforcement body, pile spacing, pile cap size and the like.
Example five this example is illustrated with reference to figure 3. The embodiment is a further limitation on the method for acquiring the maximum sag of the reinforcement body between adjacent piles of the pile-supported reinforced embankment based on the 2D-3D conversion coefficient in the first embodiment, where the one-dimensional compression modulus Es of the soft soil layer between the piles includes:
Es＝E0(1-v)/[(1+v)(1-2v)]，
wherein E is0The elastic modulus of the soil body, v is the Poisson ratio;
for multi-layer soils, Es can be expressed as
Es＝hcEsi/∑hi，
Wherein h isiThe thickness of each layer of soil; esiIs the corresponding one-dimensional compressive modulus; h iscThe depth of the soft soil between the piles is obtained.
Sixth embodiment this embodiment is described with reference to fig. 4. The embodiment is a further limitation on the method for obtaining the maximum sag of the reinforcement body between adjacent piles of the pile-supported reinforced embankment based on the 2D-3D conversion coefficient, where the method includes establishing a three-dimensional model by using simulation software, establishing a two-dimensional model by using the simulation software according to the three-dimensional model under the same pile spacing condition, and obtaining the 2D-3D conversion coefficient by using a ratio of the maximum sag between adjacent piles of the three-dimensional model to the maximum sag between adjacent piles of the two-dimensional model, and includes:
and analyzing the maximum sag of the reinforcement body between adjacent piles according to factors such as foundation soil reaction force coefficient, pile arrangement form, cap size and shape, existence of cushion layer and the like. The same pile spacing table is used for establishing a conversion formula of the maximum sag of the reinforcement body between the 2D-3D adjacent piles by using the ratio of the maximum sag between the 3D piles to the maximum sag under the 2D condition:
Figure BDA0003347491470000091
according to 25 models of numerical analysis, considering the influence of factors such as pile cap shape, size, cushion layer and foundation soil reaction coefficient, the conversion coefficient alpha of the maximum sag of the 2D-3D adjacent pile reinforced body is as follows:
Figure BDA0003347491470000092
wherein k is the counterforce modulus of the foundation soil, krefReference value of roadbed reaction coefficient, fpatternThe influence factor of the pile arrangement form is that the square pile arrangement is 0.1, and the triangular pile arrangement is 0.2; mu is a pile arrangement form acquisition coefficient, when the pile is arranged in a square shape, mu is 0.57, and when the pile is arranged in a triangular shape, mu is 0.97; mu is the pile arrangement form acquisition coefficient, fcushionThe reduction factor caused by the existence of the cushion layer is in the range of 0.62-1.
fkIs a functional formula of the formula, wherein the functional formula relates to the reaction force coefficient of the foundation soil:
Figure BDA0003347491470000093
the conversion coefficient alpha is a dimensionless coefficient, is used for converting the maximum sag of the center of the reinforcement body under the two-dimensional condition into the maximum vertical sag of the geosynthetic material reinforcement body between adjacent piles under the three-dimensional condition, and considers the following factors: pile arrangement form, cushion layer, foundation soil reaction coefficient and pile cap side length (radius). The provided empirical equation considers the existence of a plurality of geometric factors, and is more convenient to obtain the vertical maximum displacement of the geosynthetic material reinforcement between the adjacent piles compared with the conventional method, and the method estimates the vertical maximum displacement of the geosynthetic material reinforcement between the adjacent piles based on the three-dimensional condition. Other factors, such as interface parameters and the characteristics of the fill filler, may affect the conversion factor to some extent and are not considered too much in the present invention.
The correction coefficient described in this embodiment is considered based on a three-dimensional real situation, and the influence of three-dimensional space effects such as pile cap size, foundation soil reaction force coefficient, cushion layer, pile arrangement form, and the like is considered. Compared with the existing two-dimensional acquisition method, the conversion coefficient can reflect the real situation.
Seventh, in this embodiment, a system for acquiring a maximum sag of a reinforcement body between adjacent piles of a pile-supported reinforced embankment based on a 2D-3D conversion coefficient includes:
an analysis unit for analyzing the top micro-cells of the two-dimensional soil arch;
vertical stress sigma for acquiring soil center between reinforced body pilessThe obtaining unit of (1);
the acquiring unit is used for acquiring the maximum sag of the reinforcement bodies between the adjacent piles under the two-dimensional condition;
a modeling unit for building a three-dimensional model;
a modeling unit for building a two-dimensional model;
the acquiring unit is used for acquiring the ratio of the maximum sag between the adjacent piles of the three-dimensional model to the maximum sag between the adjacent piles of the two-dimensional model;
and the conversion unit is used for converting the maximum sag of the reinforcement bodies between the adjacent piles of the two-dimensional model into the maximum sag of the reinforcement bodies between the adjacent piles of the three-dimensional model.
Eighth embodiment, the obtaining apparatus of the maximum sag of a reinforcement body between adjacent piles of a pile-supported reinforced embankment based on a 2D-3D conversion coefficient according to this embodiment includes:
one or more processors;
a memory; and
one or more programs, wherein the one or more programs are stored in the memory and configured to be executed by the one or more processors, the programs including instructions for performing a method for obtaining a maximum sag of an inter-pile reinforcement adjacent to a pile-supported reinforced embankment based on a 2D-3D conversion coefficient according to any one of the above embodiments.
Ninth embodiment, a computer device includes a memory and a processor, the memory stores a computer program, and when the processor runs the computer program stored in the memory, the processor executes a method for acquiring the maximum sag of a reinforcement body between adjacent piles of a pile-supported reinforced embankment based on a 2D-3D conversion coefficient as described in any one of the above embodiments.
Tenth embodiment, a computer-readable storage medium for storing a computer program for executing the method for acquiring the maximum sag of the reinforcement body between adjacent piles of the pile-supported reinforced embankment based on the 2D-3D conversion coefficient according to any one of the above embodiments.

Claims (10)

1. A method for acquiring the maximum sag of a reinforcement body between adjacent piles of a pile-supported reinforced embankment based on a 2D-3D conversion coefficient is characterized by comprising the following steps:
collecting physical parameters of the pile-supported reinforced embankment, wherein the physical parameters comprise the height of the embankment, the size of a pile cap, the distance between piles, the volume weight of filled soil of the embankment and an internal friction angle;
according to the height of the embankment, the size of the pile caps, the distance between piles, the volume weight of the embankment filled soil and the internal friction angle, the vertical stress sigma at the center of the soil between the piles of the reinforced body is obtaineds；
According to the vertical stress balance of the soil center between the piles of the reinforcement body, acquiring the maximum sag of the reinforcement body between the adjacent piles under a two-dimensional condition;
establishing a three-dimensional model by using simulation software, establishing a two-dimensional model by using the simulation software under the condition of the same pile spacing according to the three-dimensional model, and acquiring a 2D-3D conversion coefficient by using the ratio of the maximum sag between adjacent piles of the three-dimensional model to the maximum sag between adjacent piles of the two-dimensional model;
and obtaining the maximum sag of the reinforcement body between the adjacent piles under the three-dimensional condition according to the 2D-3D conversion coefficient and the maximum sag of the reinforcement body between the adjacent piles under the two-dimensional condition.
2. The method for obtaining the maximum sag of the reinforcement body between adjacent piles of the pile-supported reinforced embankment based on the 2D-3D conversion coefficient according to claim 1, wherein the maximum sag is obtained according to the height of the embankment, the size of a pile cap, the distance between piles, the volume weight of filled soil of the embankment and the weight of the filled soil of the embankmentAn internal friction angle is obtained to obtain the vertical stress sigma at the center of the soil between the reinforced body pilessThe process is as follows:
establishing a two-dimensional soil arch vertical balance equation:
Figure FDA0003347491460000011
wherein σrIs the radial stress, r is the radial distance,
Figure FDA0003347491460000012
is the central angle of the microcell body, gamma is the volume weight of the embankment filler, sigmaθIs a lateral stress;
the vertical balance equation of the two-dimensional soil arch is established, so that high-order trace is simplified and omitted
Figure FDA0003347491460000013
Obtaining a simplified vertical equilibrium equation:
Figure FDA0003347491460000014
in the limit state, the relation expression between the vault tangential stress and the radial stress is as follows:
σθ＝Kpσr，
the limit state represents the state of the soil body reaching the maximum bearing capacity or deformation which is not suitable for continuous bearing, wherein KpExpressing a Rankine passive earth pressure coefficient;
in the limit state, the two-dimensional soil arch vertical balance equation is as follows:
Figure FDA0003347491460000021
wherein C is an undetermined coefficient;
vertical stress sigma acting on lower arch surface of soil arch crowniComprises the following steps:
Figure FDA0003347491460000022
wherein s is the pile spacing, a is the pile cap diameter, and H is the embankment height;
vertical stress sigma acting at center of soil arch between pilessCan be expressed as:
Figure FDA0003347491460000023
thus, the vertical stress σ acting at the center of the soil arch between the pilessIs composed of
Figure FDA0003347491460000024
3. The method for acquiring the maximum sag of the reinforcement body between the adjacent piles of the pile-supported reinforced embankment based on the 2D-3D conversion coefficient according to claim 2, wherein the vertical stress sigma at the center of the soil arch between the piles issAlso comprises uneven distribution of vertical stress on the soil arch between piles, and load sigma 'of the soil arch acting in the range of adjacent strips between piles'sComprises the following steps:
σ′s＝0.8σs。
4. the method for acquiring the maximum sag of the reinforcement body between the adjacent piles of the pile-supported reinforced embankment based on the 2D-3D conversion coefficient according to the claim 1, wherein the acquiring the maximum sag of the reinforcement body between the adjacent piles under the two-dimensional condition according to the vertical stress balance at the center of soil between the piles of the reinforcement body comprises the following steps:
the deformation of the reinforcement body is parabolic, and the deformation equation of the reinforcement body is as follows:
Figure FDA0003347491460000025
wherein, deltas(x) For vertical sag equation, δ, of the stiffened bodysmaxThe maximum sag at the center of the reinforcement body between adjacent piles is shown, and x is an abscissa;
the grid is fixed at the pile cap edge, and the deflection angle of the grid at the pile cap edge is obtained according to the deformation equation of the grid:
Figure FDA0003347491460000026
wherein y 'is the derivative of the deformation equation of the reinforcement body at the edge of the pile cap, and delta' is the derivative of the vertical sag equation of the reinforcement body;
according to the Winkler elastic foundation, the obtained foundation is an elastic foundation:
σsb(x)＝k·δs(x)，
the foundation soil reaction coefficient k value is:
Figure FDA0003347491460000031
wherein hc is the acquisition depth of the soft soil between the piles, and Es is the one-dimensional compression modulus of the soft soil layer between the piles;
acting on foundation soil counter-force uniformly distributed at the bottom of the reinforcement body
Figure FDA0003347491460000032
Comprises the following steps:
Figure FDA0003347491460000033
the vertical balance equation on the reinforcement body is as follows:
Figure FDA0003347491460000034
according to the equilibrium equationObtaining the maximum sag of the reinforcement body between the adjacent piles under the two-dimensional condition
Figure FDA0003347491460000035
5. The method for acquiring the maximum sag of the reinforcement body between the adjacent piles of the pile-supported reinforced embankment based on the 2D-3D conversion coefficient according to claim 4, wherein the one-dimensional compression modulus Es of the soft soil layer between the piles comprises the following steps:
Es＝E0(1-v)/[(1+v)(1-2v)]，
wherein E is0The elastic modulus of the soil body, v is the Poisson ratio;
for multi-layer soils, Es can be expressed as
Es＝hcEsi/∑hi，
Wherein h isiThe thickness of each layer of soil; esiThe corresponding one-dimensional compressive modulus.
6. The method for obtaining the maximum sag of the reinforcement body between the adjacent piles of the pile-supported reinforced embankment based on the 2D-3D conversion coefficient according to claim 1, wherein the steps of establishing a three-dimensional model by using simulation software, establishing a two-dimensional model by using the simulation software according to the three-dimensional model under the same pile spacing condition, and obtaining the 2D-3D conversion coefficient by using the ratio of the maximum sag between the adjacent piles of the three-dimensional model to the maximum sag between the adjacent piles of the two-dimensional model comprise:
establishing a conversion formula of the maximum sag of the reinforcement body between the 2D-3D adjacent piles:
Figure FDA0003347491460000036
the conversion coefficient alpha of the maximum sag of the 2D-3D adjacent pile reinforcement body is as follows:
Figure FDA0003347491460000041
wherein k is the counterforce modulus of the foundation soil, krefReference value of roadbed reaction coefficient, fpatternMu is the coefficient obtained by the pile arrangement form, fcushionThe reduction factor due to the presence of the cushion layer.
7. The utility model provides an acquisition system of the biggest sag of reinforcement body between adjacent stake of pile-supported reinforced embankment based on 2D-3D conversion coefficient, its characterized in that, acquisition system include:
an analysis unit for analyzing the top micro-cells of the two-dimensional soil arch;
vertical stress sigma for acquiring soil center between reinforced body pilessThe obtaining unit of (1);
the acquiring unit is used for acquiring the maximum sag of the reinforcement bodies between the adjacent piles under the two-dimensional condition;
a modeling unit for building a three-dimensional model;
a modeling unit for building a two-dimensional model;
the acquiring unit is used for acquiring the ratio of the maximum sag between the adjacent piles of the three-dimensional model to the maximum sag between the adjacent piles of the two-dimensional model;
and the conversion unit is used for converting the maximum sag of the reinforcement bodies between the adjacent piles of the two-dimensional model into the maximum sag of the reinforcement bodies between the adjacent piles of the three-dimensional model.
8. The utility model provides an acquisition device of muscle body maximum sag between adjacent stake of pile-supported reinforced embankment based on 2D-3D conversion coefficient, its characterized in that, acquisition device includes:
one or more processors;
a memory; and
one or more programs stored in the memory and configured to be executed by the one or more processors, the programs including instructions for performing a method of obtaining a maximum sag of an adjacent inter-pile reinforcement of a pile-supported reinforced embankment based on a 2D-3D conversion factor according to any one of claims 1 to 6.
9. A computer device, characterized by: comprising a memory and a processor, wherein the memory stores a computer program, when the processor runs the computer program stored in the memory, the processor executes the method for acquiring the maximum sag of the reinforcement body between the adjacent piles of the pile-supported reinforced embankment based on the 2D-3D conversion coefficient according to any one of claims 1 to 6.
10. A computer-readable storage medium for storing a computer program for executing the method for acquiring the maximum sag of the reinforcement body between adjacent piles of the pile-supported reinforced embankment based on the 2D-3D conversion coefficient according to any one of claims 1 to 6.
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