CN114398733B - Method and device for obtaining optimal leveling rigidity of pile top displacement regulator of composite foundation - Google Patents
Method and device for obtaining optimal leveling rigidity of pile top displacement regulator of composite foundation Download PDFInfo
- Publication number
- CN114398733B CN114398733B CN202210045695.XA CN202210045695A CN114398733B CN 114398733 B CN114398733 B CN 114398733B CN 202210045695 A CN202210045695 A CN 202210045695A CN 114398733 B CN114398733 B CN 114398733B
- Authority
- CN
- China
- Prior art keywords
- composite foundation
- pile
- piles
- soil
- concrete
- 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.)
- Active
Links
Images
Classifications
-
- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F30/00—Computer-aided design [CAD]
- G06F30/10—Geometric CAD
- G06F30/17—Mechanical parametric or variational design
-
- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F30/00—Computer-aided design [CAD]
- G06F30/10—Geometric CAD
- G06F30/13—Architectural design, e.g. computer-aided architectural design [CAAD] related to design of buildings, bridges, landscapes, production plants or roads
-
- 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
- G06F2111/00—Details relating to CAD techniques
- G06F2111/04—Constraint-based CAD
-
- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F2111/00—Details relating to CAD techniques
- G06F2111/10—Numerical modelling
Landscapes
- Physics & Mathematics (AREA)
- Engineering & Computer Science (AREA)
- Geometry (AREA)
- Theoretical Computer Science (AREA)
- General Physics & Mathematics (AREA)
- Computer Hardware Design (AREA)
- Evolutionary Computation (AREA)
- General Engineering & Computer Science (AREA)
- Computational Mathematics (AREA)
- Mathematical Analysis (AREA)
- Mathematical Optimization (AREA)
- Pure & Applied Mathematics (AREA)
- Architecture (AREA)
- Civil Engineering (AREA)
- Structural Engineering (AREA)
- Piles And Underground Anchors (AREA)
Abstract
The invention discloses a method and a device for obtaining the optimal leveling rigidity of a pile top displacement regulator of a composite foundation, wherein the method comprises the following steps: drawing up basic parameters for calculating the optimal leveling rigidity of the pile top displacement regulator of the composite foundation; establishing an optimized mathematical model for calculating the optimal leveling rigidity of the pile top displacement regulator of the composite foundation; and solving an optimized mathematical model for calculating the optimal leveling rigidity of the pile top displacement regulator of the composite foundation to obtain the optimal leveling rigidity. The invention can realize the following effects: (1) when the leveling rigidity of the displacement regulator takes the optimal value, the maximum bearing capacity of the composite foundation can be realized; (2) by using the method, the accurate quantitative analysis of the composite foundation design can be realized by adjusting the value of the leveling rigidity of the displacement regulator; (3) when the leveling rigidity of the displacement regulator takes an optimal value, the concrete piles and the inter-pile soil of the composite foundation meet a deformation coordination control equation, and the settlement difference between the inter-pile soil and the concrete piles can be effectively eliminated.
Description
Technical Field
The invention relates to a method and a device for obtaining the optimal leveling rigidity of a pile top displacement regulator of a composite foundation, belonging to the technical field of foundation treatment.
Background
The composite foundation is an artificial foundation formed by replacing part of soil in a natural foundation with a reinforcement, and the reinforcement can be concrete, gravel and other materials. The composite foundation is convenient to construct, cheap in material and good in performance, and is widely applied to engineering. In particular, in recent years, with the popularization of high-performance pile foundation equipment, composite foundations of concrete piles are often used in high-rise buildings to form a "superstructure-raft-composite foundation" system. The rigidity distribution of the superstructure, the raft and the composite foundation can have significant influence on the deformation and the bearing capacity of the building. In the field of composite foundation design, an important problem is not solved yet, that is: how to control differential settlement and realize the maximum bearing capacity of the foundation so as to give full play to the performance of the composite foundation.
There are two main ways to control the differential settlement of the composite foundation: the first is to adjust the rigidity of foundation soil, and the second is to adjust the supporting rigidity of piles. The following three methods are generally adopted for adjusting the supporting rigidity of the pile: (1) adjusting pile arrangement mode, (2) changing pile parameters, such as: pile length, pile diameter and pile spacing, and (3) arranging a displacement regulator between the pile top and the raft plate.
After the displacement regulator is arranged between the pile top and the raft, the raft-pile soil-pile-displacement regulator forms a very complex mechanical action system, as shown in fig. 2 and fig. 3, the force transmission mechanism of the raft-pile soil-pile-displacement regulator has not been studied and clarified in the following aspects: (1) the load of the upper structure acting on the raft is shared by soil among piles, the piles and the displacement regulator, but the proportion of the load sharing the upper part is unclear; (2) the piles and the displacement regulators form a series system, the soil between the piles and the 'piles and the displacement regulators' form a parallel system, and the deformation coordination of the composite foundation must meet the following requirements: the deformation of the soil between the piles is equal to the sum of the deformation of the concrete piles and the deformation of the pile top displacement regulator, but the deformation coordination is accurately and quantitatively controlled, and the technology is not broken through; (3) the deformation of the inter-pile soil and the pile and displacement regulator has a great influence on the bearing capacity of the composite foundation, and how to fully exert the bearing capacity of the foundation under the condition of ensuring the deformation coordination of the inter-pile soil and the pile and displacement regulator is an urgent problem to be solved. The rigidity of the pile top displacement regulator of the composite foundation has great influence on the bearing capacity of the composite foundation, and how to quantitatively calculate the rigidity of the pile top displacement regulator is a difficult problem.
At present, a method for calculating the optimal leveling rigidity of the pile top displacement regulator of the composite foundation does not exist, and a theoretical method and a mathematical model for establishing the optimal leveling rigidity of the pile top displacement regulator of the composite foundation are urgently needed so as to quantitatively and accurately evaluate the bearing capacity of the composite foundation and provide theoretical guidance for the design of the composite foundation.
Disclosure of Invention
The invention provides a method and a device for obtaining the optimal leveling rigidity of a pile top displacement regulator of a composite foundation, which take the pile top displacement regulator of the composite foundation as a research object, combine soil mechanics and mathematical planning theories to obtain the optimal leveling rigidity of the pile top displacement regulator of the composite foundation, and provide a new method for the design calculation of the composite foundation.
The technical scheme of the invention is as follows: a method for obtaining the optimal leveling rigidity of a pile top displacement regulator of a composite foundation comprises the following steps:
drawing up basic parameters for calculating the optimal leveling rigidity of the pile top displacement regulator of the composite foundation;
establishing an optimized mathematical model for calculating the optimal leveling rigidity of the pile top displacement regulator of the composite foundation;
and solving an optimized mathematical model for calculating the optimal leveling rigidity of the pile top displacement regulator of the composite foundation to obtain the optimal leveling rigidity.
The basic parameters for calculating the optimal leveling rigidity of the pile top displacement regulator for drawing up the composite foundation comprise: drawing up parameters of the concrete pile; and (5) drawing up parameters of the foundation soil.
The parameters of the concrete pile comprise: the diameter of the concrete pile, the length of the concrete pile, the transverse distance of the concrete pile, the vertical distance of the concrete pile and the standard value of the vertical bearing capacity of the single pile.
The parameters of the foundation soil comprise: the compressive modulus of the soil between the piles, the standard value of the bearing capacity of the soil between the piles and the stress diffusion coefficient of the composite foundation.
The method for establishing the optimal mathematical model for calculating the optimal leveling rigidity of the pile top displacement regulator of the composite foundation comprises the following steps of: and establishing an optimal mathematical model for calculating the optimal leveling rigidity of the pile top displacement regulator of the composite foundation by simultaneously establishing an objective function, a force control equation, a deformation coordination equation, a bearing capacity constraint condition of the soil between the piles and a bearing capacity constraint condition of the concrete pile.
The method for establishing the optimal mathematical model for calculating the optimal leveling rigidity of the pile top displacement regulator of the composite foundation comprises the following steps of:
firstly, establishing an objective function: setting the total load acting on the top of the raft as an objective function, and solving the maximum value of the total load to ensure that the bearing capacity of the composite foundation is maximum, wherein the objective function is as follows:
Maximize:Q
secondly, establishing a force control equation of the combined bearing of the concrete pile and the foundation soil: the total load acting on the top of the raft is jointly borne by the concrete piles and the soil among the piles, and the force control equation is as follows:
Q＝n×(Fs+Fz)
thirdly, establishing a deformation coordination equation of the concrete piles and the soil among the piles:
firstly, establishing a deformation equation of soil between piles of the composite foundation, which specifically comprises the following steps:
secondly, establishing a deformation equation of the concrete pile of the composite foundation, which specifically comprises the following steps:
and thirdly, establishing a deformation equation of the pile top displacement regulator of the composite foundation, specifically:
establishing a coordination control equation of the deformation of the concrete piles of the composite foundation and the soil among the piles: the deformation of the soil between the piles is equal to the sum of the deformation of the concrete pile and the deformation of the pile top displacement regulator, and the method specifically comprises the following steps:
δs＝δz+δk
fourthly, establishing a bearing capacity constraint condition of the soil between the piles, which specifically comprises the following steps:
fifthly, establishing bearing capacity constraint conditions of the concrete pile, specifically comprising the following steps:
Fz≤Pa
and sixthly, establishing an optimized mathematical model for calculating the optimal leveling rigidity of the pile top displacement regulator of the composite foundation according to the objective function, the force control equation, the deformation coordination equation, the bearing capacity constraint condition of the soil between the piles and the bearing capacity constraint condition of the concrete pile:
in the formula: q is the total load acting on the top of the raft; maximize means "max"; fsThe raft plate is used for adding single pile load to the action of soil between piles of the composite foundation; fzThe raft plate acts on the concrete piles of the composite foundation to add single pile load, and n is the number of the concrete piles of the composite foundation; deltasDeformation of the soil between piles of the composite foundation; esIs the compression modulus of the soil between piles of the composite foundation; d is the transverse spacing of the concrete piles of the composite foundation; l is the vertical spacing of the concrete piles of the composite foundation; d is the diameter of the concrete pile of the composite foundation; l is the length of the concrete pile of the composite foundation; alpha is the stress diffusion coefficient of the composite foundation; deltazIs the deformation of the concrete pile of the composite foundation; ezIs the compression modulus of the concrete pile of the composite foundation; deltakDeformation of the pile top displacement regulator of the composite foundation; k is a radical ofdLeveling rigidity of a pile top displacement regulator of the composite foundation; f. ofaIs the standard value of the bearing capacity of the foundation soil; paIs the standard value of the vertical bearing capacity of the single pile.
The method for solving the optimized mathematical model for calculating the optimal leveling rigidity of the pile top displacement regulator of the composite foundation to obtain the optimal leveling rigidity comprises the following steps: the known parameters n and Es、d、l、D、L、α、Ez、fa、PaAn optimized mathematical model for calculating the optimal leveling rigidity of the pile top displacement regulator with composite foundation is based on the total load Q acting on the top of the raft as an objective function and Fs、Fz、δs、δz、δk、kdSolving an optimized mathematical model for calculating the optimal leveling rigidity of the pile top displacement regulator of the composite foundation to obtain a total load Q acting on the top of the raft and a decision variable F for making a decision variables、Fz、δs、δz、δk、kdMeter (2)Calculating the leveling rigidity k of the pile top displacement regulator of the composite foundation for maximizing the total load Q acting on the top of the raftdThe optimum value of (d); wherein, FsThe raft plate is used for adding single pile load to the action of soil between piles of the composite foundation; fzThe raft plate acts on the concrete piles of the composite foundation to add single pile load, and n is the number of the concrete piles of the composite foundation; deltasIs the deformation of the soil between piles of the composite foundation; esIs the compression modulus of the soil between piles of the composite foundation; d is the transverse spacing of the concrete piles of the composite foundation; l is the vertical spacing of the concrete piles of the composite foundation; d is the diameter of the concrete pile of the composite foundation; l is the length of the concrete pile of the composite foundation; alpha is the stress diffusion coefficient of the composite foundation; deltazIs the deformation of the concrete pile of the composite foundation; ezIs the compression modulus of the concrete pile of the composite foundation; delta. for the preparation of a coatingkIs the deformation of the pile top displacement regulator of the composite foundation; f. ofaIs the standard value of the bearing capacity of the foundation soil; paIs the standard value of the vertical bearing capacity of the single pile.
And the optimized mathematical model for calculating the optimal leveling rigidity of the pile top displacement regulator of the composite foundation is solved by using an inner point algorithm.
An apparatus for obtaining optimal leveling rigidity of a pile top displacement regulator of a composite foundation, comprising:
the first module is used for drawing up basic parameters for calculating the optimal leveling rigidity of the pile top displacement regulator of the composite foundation;
the second module is used for establishing an optimized mathematical model for calculating the optimal leveling rigidity of the pile top displacement regulator of the composite foundation;
and the obtaining module is used for solving an optimized mathematical model for calculating the optimal leveling rigidity of the pile top displacement regulator of the composite foundation to obtain the optimal leveling rigidity.
The invention has the beneficial effects that: according to the basic parameters of the calculation of the optimal leveling rigidity of the pile top displacement regulator of the composite foundation, the optimal mathematical model of the calculation of the optimal leveling rigidity of the pile top displacement regulator of the composite foundation is established, and finally the optimal mathematical model of the calculation of the optimal leveling rigidity of the pile top displacement regulator of the composite foundation is solved through an interior point algorithm to obtain the optimal value of the leveling rigidity of the pile top displacement regulator, so that the method can achieve the effect which cannot be realized by the traditional method: (1) when the leveling rigidity of the displacement regulator takes the optimal value, the maximum bearing capacity of the composite foundation can be realized; (2) by using the method, the accurate quantitative analysis of the composite foundation design can be realized by adjusting the value of the leveling rigidity of the displacement regulator; (3) when the leveling rigidity of the displacement regulator takes an optimal value, the concrete piles and the inter-pile soil of the composite foundation meet a deformation coordination control equation, and the settlement difference between the inter-pile soil and the concrete piles can be effectively eliminated.
Drawings
FIG. 1 is a technical roadmap for the present invention;
FIG. 2 is a longitudinal section of a composite foundation;
fig. 3 is a plan view of the composite foundation;
FIG. 4 is a schematic view showing the mechanical action of the displacement regulator for mixing soil among piles, concrete piles and pile tops;
FIG. 5 is a schematic view of the deformation coordination of the inter-pile soil, concrete piles and pile top displacement adjusters;
FIG. 6 is an inter-pile soil shafting diagram;
fig. 7 is a concrete pile shaft diagram.
Detailed Description
The invention will be further described with reference to the following figures and examples, but the scope of the invention is not limited thereto.
Example 1: as shown in fig. 1 to 7, a method for obtaining optimal leveling stiffness of a pile top displacement regulator of a composite foundation includes:
drawing up basic parameters for calculating the optimal leveling rigidity of the pile top displacement regulator of the composite foundation;
establishing an optimized mathematical model for calculating the optimal leveling rigidity of the pile top displacement regulator of the composite foundation;
and solving an optimized mathematical model for calculating the optimal leveling rigidity of the pile top displacement regulator of the composite foundation to obtain the optimal leveling rigidity.
Optionally, the basic parameters for calculating the optimal leveling stiffness of the proposed pile top displacement regulator of the composite foundation include: setting up parameters of the concrete pile; and (5) drawing up parameters of the foundation soil.
Optionally, the parameters of the concrete pile include: the diameter of the concrete pile, the length of the concrete pile, the transverse distance of the concrete pile, the vertical distance of the concrete pile and the standard value of the vertical bearing capacity of the single pile.
Optionally, the parameters of the foundation soil include: the compressive modulus of the soil between the piles, the standard value of the bearing capacity of the soil between the piles and the stress diffusion coefficient of the composite foundation.
Optionally, the establishing an optimized mathematical model of calculation of optimal leveling stiffness of the pile top displacement regulator of the composite foundation includes: and establishing an optimal mathematical model for calculating the optimal leveling rigidity of the pile top displacement regulator of the composite foundation by simultaneously establishing an objective function, a force control equation, a deformation coordination equation, a bearing capacity constraint condition of the soil between the piles and a bearing capacity constraint condition of the concrete pile.
Optionally, the establishing an optimized mathematical model of calculation of optimal leveling stiffness of the pile top displacement regulator of the composite foundation includes:
firstly, establishing an objective function: the total load acting on the top of the raft is set as an objective function, and the maximum value of the total load is calculated, so that the bearing capacity of the composite foundation is maximum, and the objective function is as follows:
Maximize:Q(1)
in the formula: q is the total load acting on the top of the raft; maximize means "max";
secondly, establishing a force control equation of the combined bearing of the concrete pile and the foundation soil: the total load acting on the top of the raft is jointly borne by the concrete piles and the soil among the piles, and the force control equation is as follows:
Q＝n×(Fs+Fz) (2)
in the formula: q is the total load acting on the top of the raft; fsThe raft plate is used for adding single pile load to the action of soil between piles of the composite foundation; fzThe raft plate acts on the concrete piles of the composite foundation to add single pile load, and n is the number of the concrete piles of the composite foundation;
thirdly, establishing a deformation coordination equation of the concrete piles and the soil among the piles: as shown in fig. 4, the deformation coordination relationship of the displacement regulators of the concrete piles, the concrete piles and the pile tops is shown in fig. 5, the axial force of the concrete piles is shown in fig. 6, and the axial force of the concrete piles is shown in fig. 7;
firstly, establishing a deformation equation of soil between piles of the composite foundation, which specifically comprises the following steps:
in the formula: deltasIs the deformation of the soil between piles of the composite foundation; esIs the compression modulus of the soil between piles of the composite foundation; d is the transverse spacing of the concrete piles of the composite foundation; l is the vertical spacing of the concrete piles of the composite foundation; d is the diameter of the concrete pile of the composite foundation; l is the length of the concrete pile of the composite foundation; alpha is the stress diffusion coefficient of the composite foundation, FsThe raft plate is used for adding single pile load to the action of soil between piles of the composite foundation;
secondly, establishing a deformation equation of the concrete pile of the composite foundation, which specifically comprises the following steps:
in the formula: deltazIs the deformation of the concrete pile of the composite foundation; ezIs the compression modulus of the concrete pile of the composite foundation; d is the transverse spacing of the concrete piles of the composite foundation; l is the vertical spacing of the concrete piles of the composite foundation; d is the diameter of the concrete pile of the composite foundation; l is the calculated depth of the composite foundation; alpha is the stress diffusion coefficient of the composite foundation, FzThe raft plate is used for adding single pile load to the concrete pile of the composite foundation;
and thirdly, establishing a deformation equation of the pile top displacement regulator of the composite foundation, specifically:
in the formula: deltakDeformation of the pile top displacement regulator of the composite foundation; k is a radical ofdLeveling stiffness of a pile top displacement regulator of a composite foundation, FzThe raft plate is used for adding single pile load to the concrete pile of the composite foundation;
establishing a coordination control equation of the deformation of the concrete piles of the composite foundation and the soil among the piles: the deformation of the soil between the piles is equal to the sum of the deformation of the concrete pile and the deformation of the pile top displacement regulator, and the method specifically comprises the following steps:
δs＝δz+δk (6)
in the formula: deltasDeformation of the soil between piles of the composite foundation; deltazIs the deformation of the concrete pile of the composite foundation; deltakIs the deformation of the pile top displacement regulator of the composite foundation;
fourthly, establishing a bearing capacity constraint condition of the soil between the piles, which specifically comprises the following steps:
in the formula: f. ofaIs the bearing capacity characteristic value of the foundation soil; fsThe raft plate is used for adding single pile load to the action of soil between piles of the composite foundation; d is the transverse spacing of the concrete piles of the composite foundation; l is the vertical spacing of the concrete piles of the composite foundation; d is the diameter of the concrete pile of the composite foundation;
fifthly, establishing bearing capacity constraint conditions of the concrete pile, specifically comprising the following steps:
Fz≤Pa (8)
in the formula: paIs the characteristic value of the vertical bearing capacity of the single pile; fzThe raft plate is used for adding single pile load to the concrete pile of the composite foundation;
and sixthly, establishing an optimized mathematical model for calculating the optimal leveling rigidity of the pile top displacement regulator of the composite foundation according to the objective function, the force control equation, the deformation coordination equation, the bearing capacity constraint condition of the soil among the piles and the bearing capacity constraint condition of the concrete pile:
optionally, the solving an optimized mathematical model of calculation of the optimal leveling stiffness of the pile top displacement regulator of the composite foundation to obtain the optimal leveling stiffness includes: the known parameters n and Es、d、l、D、L、α、Ez、fa、PaAn optimized mathematical model for calculating the optimal leveling rigidity of the pile top displacement regulator with composite foundation is based on the total load Q acting on the top of the raft as an objective function and Fs、Fz、δs、δz、δk、kdSolving an optimized mathematical model for calculating the optimal leveling rigidity of the pile top displacement regulator of the composite foundation to obtain a total load Q acting on the top of the raft and a decision variable F for making a decision variables、Fz、δs、δz、δk、kdThe leveling rigidity k of the pile top displacement regulator of the composite foundation which enables the total load Q acting on the top of the raft to take the maximum value is obtaineddThe optimum value of (d); wherein, FsThe raft plate is used for adding single pile load to the action of soil between piles of the composite foundation; fzThe raft plate acts on the concrete piles of the composite foundation to add single pile load, and n is the number of the concrete piles of the composite foundation; deltasIs the deformation of the soil between piles of the composite foundation; esIs the compression modulus of the soil between piles of the composite foundation; d is the transverse spacing of the concrete piles of the composite foundation; l is the vertical spacing of the concrete piles of the composite foundation; d is the diameter of the concrete pile of the composite foundation; l is the length of the concrete pile of the composite foundation; alpha is the stress diffusion coefficient of the composite foundation; deltazIs the deformation of the concrete pile of the composite foundation; ezIs the compression modulus of the concrete pile of the composite foundation; deltakIs the deformation of the pile top displacement regulator of the composite foundation; f. ofaIs the standard value of the bearing capacity of the foundation soil; p isaIs the standard value of the vertical bearing capacity of the single pile.
Optionally, the optimized mathematical model of the calculation of the optimal leveling stiffness of the pile top displacement regulator of the composite foundation is solved by using an 'interior point algorithm'.
The invention also provides a device for obtaining the optimal leveling rigidity of the pile top displacement regulator of the composite foundation, which comprises the following components:
the first module is used for drawing up basic parameters for calculating the optimal leveling rigidity of the pile top displacement regulator of the composite foundation;
the second module is used for establishing an optimized mathematical model for calculating the optimal leveling rigidity of the pile top displacement regulator of the composite foundation;
and the obtaining module is used for solving an optimized mathematical model for calculating the optimal leveling rigidity of the pile top displacement regulator of the composite foundation to obtain the optimal leveling rigidity.
Further, the method of the above embodiment gives the following implementation steps:
the following data were used:
the number n of the concrete piles of the composite foundation is 20, and the compression modulus E of the soil among the piles of the composite foundationsTaking 60000kPa, taking the transverse distance d of the concrete piles of the composite foundation to be 2.4m, and taking the vertical distance l of the concrete piles of the composite foundation to be 2.4 m; taking the diameter D of the concrete pile of the composite foundation to be 0.8 m; taking the length L of the concrete pile of the composite foundation as 30 m; the stress diffusion coefficient alpha of the composite foundation is 0.55, and the compression modulus E of the concrete pile of the composite foundationzTaking 4000000kPa and the standard value f of the bearing capacity of the foundation soilaTaking a standard value P of 400kPa and vertical bearing capacity of a single pilea2500kN was taken.
The known parameters n and Es、d、l、D、L、α、Ez、fa、PaAn optimized mathematical model for calculating the optimal leveling rigidity of the pile top displacement regulator with composite foundation is based on the total load Q acting on the top of the raft as an objective function and Fs、Fz、δs、δz、δk、kdSolving the nonlinear mathematical programming model by using an 'interior point algorithm' as a decision variable to obtain a total load Q acting on the top of the raft and a decision variable Fs、Fz、δs、δz、δk、kdThe calculation results of (a) are shown in table 1. Examples enable to doWhen the total load Q used at the top of the raft takes the maximum value, the leveling rigidity k of the pile top displacement regulator of the composite foundationdIt was 21184.28 kN/m.
Table 1 statistical table of calculation results of examples
While the present invention has been described in detail with reference to the embodiments shown in the drawings, the present invention is not limited to the embodiments, and various changes can be made without departing from the spirit of the present invention within the knowledge of those skilled in the art.
Claims (8)
1. A method for obtaining the optimal leveling rigidity of a pile top displacement regulator of a composite foundation is characterized by comprising the following steps of: the method comprises the following steps:
drawing up basic parameters for calculating the optimal leveling rigidity of the pile top displacement regulator of the composite foundation;
establishing an optimized mathematical model for calculating the optimal leveling rigidity of the pile top displacement regulator of the composite foundation;
solving an optimized mathematical model for calculating the optimal leveling rigidity of the pile top displacement regulator of the composite foundation to obtain the optimal leveling rigidity;
the method for establishing the optimal mathematical model for calculating the optimal leveling rigidity of the pile top displacement regulator of the composite foundation comprises the following steps of:
firstly, establishing an objective function: setting the total load acting on the top of the raft as an objective function, and solving the maximum value of the total load to ensure that the bearing capacity of the composite foundation is maximum, wherein the objective function is as follows:
Maximize:Q
secondly, establishing a force control equation of the combined bearing of the concrete pile and the foundation soil: the total load acting on the top of the raft is jointly borne by the concrete piles and the soil among the piles, and the force control equation is as follows:
Q＝n×(Fs+Fz)
thirdly, establishing a deformation coordination equation of the concrete piles and the soil among the piles:
firstly, establishing a deformation equation of soil between piles of the composite foundation, which specifically comprises the following steps:
secondly, establishing a deformation equation of the concrete pile of the composite foundation, which specifically comprises the following steps:
and thirdly, establishing a deformation equation of the pile top displacement regulator of the composite foundation, specifically:
establishing a coordination control equation of the deformation of the concrete piles of the composite foundation and the soil among the piles: the deformation of the soil between the piles is equal to the sum of the deformation of the concrete pile and the deformation of the pile top displacement regulator, and the method specifically comprises the following steps:
δs＝δz+δk
fourthly, establishing a bearing capacity constraint condition of the soil between the piles, which specifically comprises the following steps:
fifthly, establishing bearing capacity constraint conditions of the concrete pile, specifically comprising the following steps:
Fz≤Pa
and sixthly, establishing an optimized mathematical model for calculating the optimal leveling rigidity of the pile top displacement regulator of the composite foundation according to the objective function, the force control equation, the deformation coordination equation, the bearing capacity constraint condition of the soil among the piles and the bearing capacity constraint condition of the concrete pile:
in the formula: q is the total load acting on the top of the raft; maximize means "max"; fsThe raft plate is used for adding single pile load to the action of soil between piles of the composite foundation; fzThe raft plate acts on the concrete piles of the composite foundation to add single pile load, and n is the number of the concrete piles of the composite foundation; delta. for the preparation of a coatingsIs the deformation of the soil between piles of the composite foundation; esIs the compression modulus of the soil between piles of the composite foundation; d is the transverse spacing of the concrete piles of the composite foundation; l is the vertical spacing of the concrete piles of the composite foundation; d is the diameter of the concrete pile of the composite foundation; l is the length of the concrete pile of the composite foundation; alpha is the stress diffusion coefficient of the composite foundation; deltazIs the deformation of the concrete pile of the composite foundation; ezIs the compression modulus of the concrete pile of the composite foundation; deltakDeformation of the pile top displacement regulator of the composite foundation; k is a radical ofdLeveling rigidity of a pile top displacement regulator of the composite foundation; f. ofaIs the standard value of the bearing capacity of the foundation soil; paIs the standard value of the vertical bearing capacity of the single pile.
2. The method for obtaining the optimal leveling stiffness of the pile top displacement regulator of the composite foundation according to claim 1, wherein: the basic parameters for calculating the optimal leveling rigidity of the pile top displacement regulator for drawing up the composite foundation comprise: setting up parameters of the concrete pile; and (5) drawing up parameters of the foundation soil.
3. The method for obtaining the optimal leveling stiffness of the pile top displacement regulator of the composite foundation according to claim 2, wherein: the parameters of the concrete pile comprise: the diameter of the concrete pile, the length of the concrete pile, the transverse distance of the concrete pile, the vertical distance of the concrete pile and the standard value of the vertical bearing capacity of the single pile.
4. The method for obtaining the optimal leveling stiffness of the pile top displacement regulator of the composite foundation according to claim 2, wherein: the parameters of the foundation soil comprise: the compressive modulus of the soil between the piles, the standard value of the bearing capacity of the soil between the piles and the stress diffusion coefficient of the composite foundation.
5. The method for obtaining the optimal leveling stiffness of the pile top displacement regulator of the composite foundation according to claim 1, wherein: the method for establishing the optimal mathematical model for calculating the optimal leveling rigidity of the pile top displacement regulator of the composite foundation comprises the following steps of: and establishing an optimal mathematical model for calculating the optimal leveling rigidity of the pile top displacement regulator of the composite foundation by simultaneously establishing an objective function, a force control equation, a deformation coordination equation, a bearing capacity constraint condition of the soil between the piles and a bearing capacity constraint condition of the concrete pile.
6. The method for obtaining the optimal leveling stiffness of the pile top displacement regulator of the composite foundation according to claim 1, wherein: the method for solving the optimized mathematical model for calculating the optimal leveling rigidity of the pile top displacement regulator of the composite foundation to obtain the optimal leveling rigidity comprises the following steps: the known parameters n and Es、d、l、D、L、α、Ez、fa、PaAn optimized mathematical model for calculating the optimal leveling rigidity of the pile top displacement regulator with composite foundation is based on the total load Q acting on the top of the raft as an objective function and Fs、Fz、δs、δz、δk、kdSolving an optimized mathematical model for calculating the optimal leveling rigidity of the pile top displacement regulator of the composite foundation to obtain a total load Q acting on the top of the raft and a decision variable F for making a decision variables、Fz、δs、δz、δk、kdThe leveling rigidity k of the pile top displacement regulator of the composite foundation which enables the total load Q acting on the top of the raft to take the maximum value is obtaineddThe optimum value of (2); wherein, FsThe raft plate is used for adding single pile load to the action of soil between piles of the composite foundation; fzThe raft plate acts on the concrete piles of the composite foundation to add single pile load, and n is the number of the concrete piles of the composite foundation; deltasIs the deformation of the soil between piles of the composite foundation; esIs the compression modulus of the soil between piles of the composite foundation; d is the transverse spacing of the concrete piles of the composite foundation; l is the vertical spacing of the concrete piles of the composite foundation; d is the diameter of the concrete pile of the composite foundation; l is the length of the concrete pile of the composite foundation; alpha is the stress diffusion coefficient of the composite foundation; delta. for the preparation of a coatingzIs the deformation of the concrete pile of the composite foundation; ezIs the compression modulus of the concrete pile of the composite foundation; deltakDeformation of the pile top displacement regulator of the composite foundation; f. ofaIs the standard value of the bearing capacity of the foundation soil; paIs the standard value of the vertical bearing capacity of the single pile.
7. The method for obtaining the optimal leveling stiffness of the pile top displacement regulator of the composite foundation according to claim 6, wherein: and the optimized mathematical model for calculating the optimal leveling rigidity of the pile top displacement regulator of the composite foundation is solved by using an inner point algorithm.
8. The utility model provides an obtain device of compound ground's pile bolck displacement controller optimal leveling rigidity which characterized in that: the method comprises the following steps:
the first module is used for drawing up basic parameters for calculating the optimal leveling rigidity of the pile top displacement regulator of the composite foundation;
the second module is used for establishing an optimized mathematical model for calculating the optimal leveling rigidity of the pile top displacement regulator of the composite foundation;
the method for establishing the optimal mathematical model for calculating the optimal leveling rigidity of the pile top displacement regulator of the composite foundation comprises the following steps of:
firstly, establishing an objective function: setting the total load acting on the top of the raft as an objective function, and solving the maximum value of the total load to ensure that the bearing capacity of the composite foundation is maximum, wherein the objective function is as follows:
Maximize:Q
secondly, establishing a force control equation of the combined bearing of the concrete pile and the foundation soil: the total load acting on the top of the raft is jointly borne by the concrete piles and the soil among the piles, and the force control equation is as follows:
Q＝n×(Fs+Fz)
thirdly, establishing a deformation coordination equation of the concrete piles and the soil among the piles:
firstly, establishing a deformation equation of soil between piles of the composite foundation, which specifically comprises the following steps:
secondly, establishing a deformation equation of the concrete pile of the composite foundation, which specifically comprises the following steps:
and thirdly, establishing a deformation equation of the pile top displacement regulator of the composite foundation, specifically:
establishing a coordination control equation of the deformation of the concrete piles of the composite foundation and the soil among the piles: the deformation of the soil between the piles is equal to the sum of the deformation of the concrete pile and the deformation of the pile top displacement regulator, and the method specifically comprises the following steps:
δs＝δz+δk
fourthly, establishing a bearing capacity constraint condition of the soil between the piles, which specifically comprises the following steps:
fifthly, establishing bearing capacity constraint conditions of the concrete pile, specifically comprising the following steps:
Fz≤Pa
and sixthly, establishing an optimized mathematical model for calculating the optimal leveling rigidity of the pile top displacement regulator of the composite foundation according to the objective function, the force control equation, the deformation coordination equation, the bearing capacity constraint condition of the soil among the piles and the bearing capacity constraint condition of the concrete pile:
in the formula: q is the total load acting on the top of the raft; maximize means "max"; fsThe raft plate is used for adding single pile load to the action of soil between piles of the composite foundation; fzThe raft plate acts on the concrete piles of the composite foundation to add single pile load, and n is the number of the concrete piles of the composite foundation; deltasIs the deformation of the soil between piles of the composite foundation; esIs the compression modulus of the soil between piles of the composite foundation; d is the transverse spacing of the concrete piles of the composite foundation; l is the vertical spacing of the concrete piles of the composite foundation; d is the diameter of the concrete pile of the composite foundation; l is the length of the concrete pile of the composite foundation; alpha is the stress diffusion coefficient of the composite foundation; deltazIs the deformation of the concrete pile of the composite foundation; ezIs the compression modulus of the concrete pile of the composite foundation; deltakIs the deformation of the pile top displacement regulator of the composite foundation; k is a radical ofdLeveling rigidity of a pile top displacement regulator of the composite foundation; f. ofaIs the standard value of the bearing capacity of the foundation soil; paIs a standard value of the vertical bearing capacity of the single pile;
and the obtaining module is used for solving an optimized mathematical model for calculating the optimal leveling rigidity of the pile top displacement regulator of the composite foundation to obtain the optimal leveling rigidity.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN202210045695.XA CN114398733B (en) | 2022-01-16 | 2022-01-16 | Method and device for obtaining optimal leveling rigidity of pile top displacement regulator of composite foundation |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN202210045695.XA CN114398733B (en) | 2022-01-16 | 2022-01-16 | Method and device for obtaining optimal leveling rigidity of pile top displacement regulator of composite foundation |
Publications (2)
| Publication Number | Publication Date |
|---|---|
| CN114398733A CN114398733A (en) | 2022-04-26 |
| CN114398733B true CN114398733B (en) | 2022-07-12 |
Family
ID=81231087
Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| CN202210045695.XA Active CN114398733B (en) | 2022-01-16 | 2022-01-16 | Method and device for obtaining optimal leveling rigidity of pile top displacement regulator of composite foundation |
Country Status (1)
| Country | Link |
|---|---|
| CN (1) | CN114398733B (en) |
Citations (3)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| US20060021446A1 (en) * | 2004-07-30 | 2006-02-02 | England Melvin G | Method and apparatus for automatic load testing using bi-directional testing |
| CN101487267A (en) * | 2009-01-14 | 2009-07-22 | 南京工业大学 | Pile-raft foundation with adjustable supporting rigidity and construction process |
| CN103388342A (en) * | 2013-07-30 | 2013-11-13 | 大连市建筑设计研究院有限公司 | Composite foundation and design method thereof |
-
2022
- 2022-01-16 CN CN202210045695.XA patent/CN114398733B/en active Active
Patent Citations (3)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| US20060021446A1 (en) * | 2004-07-30 | 2006-02-02 | England Melvin G | Method and apparatus for automatic load testing using bi-directional testing |
| CN101487267A (en) * | 2009-01-14 | 2009-07-22 | 南京工业大学 | Pile-raft foundation with adjustable supporting rigidity and construction process |
| CN103388342A (en) * | 2013-07-30 | 2013-11-13 | 大连市建筑设计研究院有限公司 | Composite foundation and design method thereof |
Non-Patent Citations (6)
| Title |
|---|
| "上部结构-桩基—地基共同作用数值分析及桩基变刚度调平优化设计";李永乐 等;《水文地质工程地质》;20130131;第40卷(第1期);全文 * |
| "位移调节器用于混合支承桩基础的模型试验";周峰 等;《南京工业大学学报( 自然科学版)》;20130731;第35卷(第4期);全文 * |
| "位移调节器用于端承型桩筏基础的模型试验研究";周峰 等;《岩土工程学报》;20120229;第34卷(第2期);全文 * |
| "控制差异沉降的复合桩基优化设计方法";乔志炜 等;《地下空间与工程学报》;20061031;第2卷(第5期);全文 * |
| "桩顶设置变形调节装置的复合桩基应用研究";汪亚建;《万方学位论文库》;20130918;全文 * |
| "考虑变形协调的刚性基础复合地基沉降计算";徐洋 等;《浙江大学学报》;20030930;第37卷(第5期);全文 * |
Also Published As
| Publication number | Publication date |
|---|---|
| CN114398733A (en) | 2022-04-26 |
Similar Documents
| Publication | Publication Date | Title |
|---|---|---|
| CN110688747B (en) | Rock slope anchoring calculation method based on safety and economy multi-objective optimization | |
| CN107315893A (en) | Using the computational methods of composite foundation model prediction overlength Settlement of Pile Groups amount | |
| CN116842762B (en) | Method for calculating internal force deformation of pile body of passive pile of layered foundation | |
| CN114462115B (en) | Method for calculating horizontal displacement of shaft force automatic compensation steel support foundation pit support structure | |
| CN114398733B (en) | Method and device for obtaining optimal leveling rigidity of pile top displacement regulator of composite foundation | |
| CN108536978A (en) | A method of prevent High Concrete Dam gallery crown from cracking | |
| CN100513708C (en) | Method for transversal reinforcement and grouting underpinning of ready construction foundation | |
| CN112012198B (en) | Pile body variable concrete strength grade cast-in-place pile and strength grade determination method thereof | |
| Dai et al. | Monotonic and cyclic lateral behavior of semi-rigid pile in cement-improved clay: centrifuge tests and numerical investigation | |
| CN102051887A (en) | Construction method for T-shaped rigid composite pile composite foundation of saturated soft clay regions | |
| CN101967832B (en) | Method for treating bottom structure of building in substation | |
| CN109056852A (en) | Flexible pile composite foundation settlement calculation method based on energy method | |
| US11681841B1 (en) | Method and device for calculating optimal leveling stiffness of pile top displacement regulators in composite foundation | |
| CN104652462B (en) | The pre-thrust-type mattress layer in building compound foundation pile top | |
| CN1436705A (en) | Integral translating method and apparatus for very high and very heavy body | |
| CN108517855A (en) | A kind of scene strong rammer combines the pilot system and method for punishment ground with prestrain reinforcement | |
| CN209760323U (en) | Pile foundation off normal cushion cap roof beam reinforced structure | |
| CN113312818A (en) | Goaf transmission tower safety evaluation method | |
| CN208685585U (en) | A kind of storage terrace settlement Control system | |
| CN206308617U (en) | A kind of suspension cable ground anchor structure | |
| CN114960720B (en) | Pile foundation uniform settlement judging method for mixing old pile and new pile and pile foundation integral settlement calculating method | |
| CN211621562U (en) | Deeply-stirred conical stiffening core composite pile | |
| CN101793037B (en) | Surface sedimentation rate method of rockfill roadbed high-fill structure | |
| Yang et al. | Research on Optimal Design of Foundation Pit Anchor Support based on Improved Particle Swarm Optimization | |
| CN111985028B (en) | Calculation method for cross section deformation of adjacent tunnel segment caused by engineering precipitation |
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 | ||
| GR01 | Patent grant | ||
| GR01 | Patent grant |