CN115455540B - Optimal design method of empty box retaining wall - Google Patents
Optimal design method of empty box retaining wall Download PDFInfo
- Publication number
- CN115455540B CN115455540B CN202211112590.8A CN202211112590A CN115455540B CN 115455540 B CN115455540 B CN 115455540B CN 202211112590 A CN202211112590 A CN 202211112590A CN 115455540 B CN115455540 B CN 115455540B
- Authority
- CN
- China
- Prior art keywords
- retaining wall
- empty box
- stress
- box retaining
- optimization
- 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
Classifications
-
- 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
-
- E—FIXED CONSTRUCTIONS
- E02—HYDRAULIC ENGINEERING; FOUNDATIONS; SOIL SHIFTING
- E02D—FOUNDATIONS; EXCAVATIONS; EMBANKMENTS; UNDERGROUND OR UNDERWATER STRUCTURES
- E02D29/00—Independent underground or underwater structures; Retaining walls
- E02D29/02—Retaining or protecting walls
- E02D29/0258—Retaining or protecting walls characterised by constructional features
- E02D29/0266—Retaining or protecting walls characterised by constructional features made up of preformed elements
-
- 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
- G06F30/23—Design optimisation, verification or simulation using finite element methods [FEM] or finite difference methods [FDM]
-
- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F2119/00—Details relating to the type or aim of the analysis or the optimisation
- G06F2119/14—Force analysis or force optimisation, e.g. static or dynamic forces
-
- Y—GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
- Y02—TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
- Y02T—CLIMATE CHANGE MITIGATION TECHNOLOGIES RELATED TO TRANSPORTATION
- Y02T10/00—Road transport of goods or passengers
- Y02T10/10—Internal combustion engine [ICE] based vehicles
- Y02T10/40—Engine management systems
Landscapes
- Engineering & Computer Science (AREA)
- Physics & Mathematics (AREA)
- Theoretical Computer Science (AREA)
- Geometry (AREA)
- Computer Hardware Design (AREA)
- General Engineering & Computer Science (AREA)
- General Physics & Mathematics (AREA)
- Civil Engineering (AREA)
- Structural Engineering (AREA)
- Evolutionary Computation (AREA)
- Mathematical Optimization (AREA)
- Pure & Applied Mathematics (AREA)
- Mathematical Analysis (AREA)
- Computational Mathematics (AREA)
- Architecture (AREA)
- Environmental & Geological Engineering (AREA)
- Life Sciences & Earth Sciences (AREA)
- General Life Sciences & Earth Sciences (AREA)
- Mining & Mineral Resources (AREA)
- Paleontology (AREA)
- Retaining Walls (AREA)
Abstract
The invention relates to the technical fields of water conservancy, municipal administration and transportation, and discloses an optimization method of an empty box retaining wall, wherein an optimization model taking the unit optimization range of the empty box retaining wall structure as a constraint is established by taking the stress of the empty box retaining wall structure as a target that the stress is smaller than a set value; obtaining stress sigma according to a first principal stress result of the empty box retaining wall obtained by finite element calculation 1i ≤σ 1set Is to optimize the stress sigma of the site 1i ≤σ 1set Is eliminated; and carrying out linear optimization reconstruction on the empty box retaining wall structure after the unit is eliminated, reestablishing a three-dimensional calculation model, carrying out structural calculation to obtain a first principal stress result of the empty box retaining wall, judging whether the first principal stress of each part meets constraint conditions, and selecting an optimal scheme. The invention can reduce the weight of the structure, ensures that the stress distribution of the optimized empty box structure under the external load working condition is more reasonable, fully exerts the load bearing capacity of the reinforced concrete structure and reduces the concrete consumption.
Description
Technical Field
The invention relates to the technical fields of water conservancy, municipal administration and traffic, in particular to an optimization design method of an empty box retaining wall.
Background
The empty box retaining wall is a reinforced concrete shell structure which is large in volume and weight, is internally provided with rib plates for arrangement and bears a certain load in water conservancy, municipal and traffic engineering, is commonly used for engineering parts with large retaining height, and is an important retaining wall structure. At present, the empty box retaining wall structure mainly adopts traditional design means such as analogy and experience, evenly and regularly arranges the empty box middle plate, and then carries out strength check on the whole structure. Often, the empty box structure designed by the method is heavy, the tensile and compressive properties of the concrete material cannot be fully and efficiently utilized, and the load bearing capacity of the structure cannot be fully exerted.
Disclosure of Invention
The invention aims to: aiming at the problems existing in the prior art, the invention provides an optimization design method of the empty box retaining wall, which reduces the dosage of concrete and fully exerts the load bearing capacity of reinforced concrete by optimizing the shape of the middle plate in the empty box retaining wall under the conditions that the size of the empty box structure meets the limit constraint in the aspects of construction requirements and the like and the safety control indexes of the empty box structure are in the standard allowable range.
The technical scheme is as follows: the invention provides an optimization design method of an empty box retaining wall, which comprises the following steps:
step 1: the method comprises the steps of taking stress of an empty box retaining wall structure as a target and building an optimization model taking a unit optimization range of the empty box retaining wall structure as a constraint, and carrying out structural optimization, wherein the optimization model is as follows:
in the formula e j For a unit of structural optimization extinction, Φ is the first principal stress σ 1 ≤σ 1set Is set of units E del All units eliminated for structural optimization, E max To allow the maximum number of annihilation units σ 1i Is the first main stress maximum value sigma of each part of the empty box retaining wall structure 1set Is the stress target set value, [ sigma ]]The allowable tensile stress value, K is the overall rigidity matrix of the empty box retaining wall structure, U is the overall displacement vector, F is the load vector, and ζ is the stress safety margin coefficient;
step 2: obtaining stress sigma according to a first principal stress result of the empty box retaining wall obtained by finite element calculation 1i ≤σ 1set Is to optimize the stress sigma of the site 1i ≤σ 1set Is eliminated;
step 3: and carrying out linear optimization reconstruction on the empty box retaining wall structure after the unit is eliminated, reestablishing a three-dimensional calculation model, carrying out structural calculation to obtain a first principal stress result of the empty box retaining wall, judging whether the first principal stress of each part meets constraint conditions, and selecting an optimal scheme.
Further, the allowable value of [ sigma ] tensile stress in the step 1 is determined according to the concrete model, and specifically is: the C25 concrete was 1.27MPa, the C30 concrete was 1.43MPa, the C35 concrete was 1.57MPa, the C40 concrete was 1.71MPa, and the C30 concrete was 1.80MPa.
Further, the stress target set value σ1set=0.05 MPa or 0.1MPa or 0.2MPa.
Further, the unit of the structure optimization elimination is a middle plate grid unit of the empty box retaining wall.
The beneficial effects are that:
by adopting the optimization design method, the structure weight reduction design and the innovative design can be carried out, so that the stress distribution of the optimized empty box structure under the external load working condition is more reasonable, the load bearing capacity of the reinforced concrete structure is fully exerted, and the concrete consumption is reduced.
Drawings
FIG. 1 is a flow chart of an optimization design method of an empty box retaining wall;
FIG. 2 is a schematic view of an empty box retaining wall member according to one embodiment of the present invention;
FIG. 3 is a schematic view of a blank box retaining wall member according to the present invention;
FIG. 4 is a first principal stress cloud of the empty box retaining wall of the present invention;
FIG. 5 shows an embodiment sigma of the present invention 1set Taking first principal stress cloud pictures of the middle plates 1-4 at different values;
FIG. 6 shows an embodiment sigma of the present invention 1set Taking three-dimensional calculation models of the reconstructed empty box retaining wall at different values;
FIG. 7 shows an embodiment sigma of the present invention 1set Taking first principal stress cloud pictures of the optimized retaining wall when different values are taken;
FIG. 8 shows an embodiment sigma of the present invention 1set And taking a first principal stress point diagram of each part of the retaining wall when different values are taken.
Detailed Description
The invention is further described below with reference to the accompanying drawings. The following examples are only for more clearly illustrating the technical aspects of the present invention, and are not intended to limit the scope of the present invention.
The invention discloses an optimization design method of an empty box retaining wall, which reduces the consumption of concrete and fully exerts the load bearing capacity of reinforced concrete by optimizing the shape of a middle plate in the empty box retaining wall under the conditions that the size of the empty box structure meets the limit constraint of construction requirements and the like and the safety control indexes of the empty box structure are in the standard allowable range.
Referring to fig. 2 and 3, the present invention is illustrated by way of example of a typical empty box retaining wall structure shown in the drawings, which includes face walls 1 and 2, buttresses 1 through 5, a bottom plate, a top plate, 4 middle plates, and two side walls. The 4 middle plates are sequentially arranged between the two side walls, the two face walls, the top plate and the bottom plate. Let 4 tiles be equally spaced.
The invention discloses an optimization design method of an empty box retaining wall, which comprises the following steps:
step 1: and (3) taking the stress of the empty box retaining wall structure as a target that is smaller than a set value, establishing an optimization model taking the unit optimization range of the empty box retaining wall structure as a constraint, and performing structural optimization:
in the formula e j A unit for optimizing and eliminating the structure, namely a medium plate grid unit structure; phi is the first principal stress sigma 1 ≤σ 1set Is set of units E del All units eliminated for structural optimization, E max To allow the maximum number of annihilation units σ 1i Is the first main stress maximum value sigma of each part of the empty box retaining wall structure 1set Is the stress target set value, [ sigma ]]The allowable tensile stress value is 1.27MPa for C25 concrete, 1.43MPa for C30 concrete, 1.57MPa for C35 concrete, 1.71MPa for C40 concrete, 1.80MPa for C30 concrete, the overall stiffness matrix of the empty box retaining wall structure is K, U is an overall displacement vector, F is a load vector, and ζ is a stress safety margin coefficient.
Step 2: the stress sigma is obtained based on the first principal stress result of the empty box retaining wall calculated from the finite element, see fig. 4 1i ≤σ 1set Of units phi, wherein sigma 1set =0.05 MPa, 0.1MPa, 0.2MPa, will optimize the stress at the siteσ 1i ≤σ 1set Is eliminated.
Step 3: reconstructing the empty box retaining wall structure after the unit is eliminated, reestablishing a three-dimensional calculation model, carrying out structural calculation to obtain a first principal stress result of the empty box retaining wall, and judging whether the first principal stress of each part meets constraint conditions.
The empty box retaining wall of this embodiment has an overall height of 11.30m, an overall width of 10.00m, an overall length of 21.00m, and a C25 reinforced concrete structure, [ sigma ] =1.27 MPa.
According to FIG. 4, the first principal stress result of the structure is shown as σ 1set ＝0.05MPa、σ 1set ＝0.1MPa、σ 1set Grid unit E for respectively acquiring middle plates of retaining wall and capable of being eliminated by using 0.2MPa del (blank sections), see fig. 5.
According to the middle plate grid unit which can be eliminated and is obtained in fig. 5, the middle plate grid of the empty box retaining wall structure after the elimination unit is subjected to linear optimization to reestablish a three-dimensional calculation model of the empty box retaining wall, when the three-dimensional calculation model of the empty box retaining wall is reestablished through linear optimization, according to the range of stress patterns, a designer carries out linear design and then checks under the condition that construction requirements are met according to experience, and referring to fig. 6, the reestablished three-dimensional calculation model is an optimized middle plate grid model, and finite element structure calculation is carried out on the optimized middle plate grid model.
According to the optimized calculation result of the finite element structure of the middle plate grid model, a first main stress result of each structural part of the empty box retaining wall is obtained, and referring to fig. 7, stress rechecking is carried out to judge whether each part of the empty box retaining wall meets sigma 1i ≤ξ[σ]。
In this embodiment, assuming that ζ is 1.0, each component of the optimized empty box retaining wall satisfies σ 1i ≤1.0[σ]=1.27 MPa. Will sigma 1set ＝0.05MPa、σ 1set ＝0.1MPa、σ 1set The first principal stress maximum value of each component of the empty box retaining wall in the case of three optimization schemes of =0.2 MPa is plotted as follows, it can be determined that when σ 1set When=0.2 MPa, retaining wallSince the principal stresses of the middle plates 2, 3 are not satisfied, σ can be determined from fig. 8 1set The =0.1 MPa optimization scheme is the optimal scheme.
The foregoing embodiments are merely illustrative of the technical concept and features of the present invention, and are intended to enable those skilled in the art to understand the present invention and to implement the same, not to limit the scope of the present invention. All equivalent changes or modifications made according to the spirit of the present invention should be included in the scope of the present invention.
Claims (3)
1. The optimal design method of the empty box retaining wall is characterized by comprising the following steps of:
step 1: the method comprises the steps of taking stress of an empty box retaining wall structure as a target and building an optimization model taking a unit optimization range of the empty box retaining wall structure as a constraint, and carrying out structural optimization, wherein the optimization model is as follows:
in the formula e j The unit for structure optimization elimination is a middle plate grid unit of an empty box retaining wall, and phi is a first main stress sigma 1 ≤σ 1set Is set of units E del All units eliminated for structural optimization, E max To allow the maximum number of annihilation units σ 1i Is the first main stress maximum value sigma of each part of the empty box retaining wall structure 1set Is the stress target set value, [ sigma ]]K is the total rigidity matrix of the empty box retaining wall structure, U is the total displacement vector, F is the load vector, and ζ is the stress safety margin coefficient;
step 2: obtaining stress sigma according to a first principal stress result of the empty box retaining wall obtained by finite element calculation 1i ≤σ 1set Is to optimize the stress sigma of the site 1i ≤σ 1set Is eliminated;
step 3: and carrying out linear optimization reconstruction on the empty box retaining wall structure after the unit is eliminated, reestablishing a three-dimensional calculation model, carrying out structural calculation to obtain a first principal stress result of the empty box retaining wall, judging whether the first principal stress of each part meets constraint conditions, and selecting an optimal scheme.
2. The optimization design method of the empty box retaining wall according to claim 1, wherein the [ sigma ] tensile stress allowable value in the step 1 is determined according to the concrete model, specifically: the C25 concrete was 1.27MPa, the C30 concrete was 1.43MPa, the C35 concrete was 1.57MPa, and the C40 concrete was 1.71MPa.
3. The method for optimizing design of a blank retaining wall according to claim 1, wherein the stress target set value σ 1set =0.05 MPa or 0.1MPa or 0.2MPa.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN202211112590.8A CN115455540B (en) | 2022-09-13 | 2022-09-13 | Optimal design method of empty box retaining wall |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN202211112590.8A CN115455540B (en) | 2022-09-13 | 2022-09-13 | Optimal design method of empty box retaining wall |
Publications (2)
| Publication Number | Publication Date |
|---|---|
| CN115455540A CN115455540A (en) | 2022-12-09 |
| CN115455540B true CN115455540B (en) | 2023-08-18 |
Family
ID=84303779
Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| CN202211112590.8A Active CN115455540B (en) | 2022-09-13 | 2022-09-13 | Optimal design method of empty box retaining wall |
Country Status (1)
| Country | Link |
|---|---|
| CN (1) | CN115455540B (en) |
Citations (4)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| KR19990014608A (en) * | 1998-11-26 | 1999-02-25 | 홍원기 | Design Method of Composite Basement Retaining Wall Using Temporary Block Structures |
| CN105696619A (en) * | 2016-03-11 | 2016-06-22 | 河海大学 | Novel assembly buttressed earth-retaining wall finite element calculation method based on ANSYS |
| CN108491632A (en) * | 2018-03-23 | 2018-09-04 | 江苏省水利勘测设计研究院有限公司 | A kind of three-dimensional design method of retaining wall |
| CN113505408A (en) * | 2021-07-07 | 2021-10-15 | 中水淮河规划设计研究有限公司 | Empty box retaining wall full-parametric three-dimensional model construction method based on feature model |
-
2022
- 2022-09-13 CN CN202211112590.8A patent/CN115455540B/en active Active
Patent Citations (4)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| KR19990014608A (en) * | 1998-11-26 | 1999-02-25 | 홍원기 | Design Method of Composite Basement Retaining Wall Using Temporary Block Structures |
| CN105696619A (en) * | 2016-03-11 | 2016-06-22 | 河海大学 | Novel assembly buttressed earth-retaining wall finite element calculation method based on ANSYS |
| CN108491632A (en) * | 2018-03-23 | 2018-09-04 | 江苏省水利勘测设计研究院有限公司 | A kind of three-dimensional design method of retaining wall |
| CN113505408A (en) * | 2021-07-07 | 2021-10-15 | 中水淮河规划设计研究有限公司 | Empty box retaining wall full-parametric three-dimensional model construction method based on feature model |
Non-Patent Citations (1)
| Title |
|---|
| 基于拓扑优化的钢筋混凝土构件设计方法研究综述;张鹄志 等;武汉大学学报（工学版）;第55卷(第5期);第462-473页 * |
Also Published As
| Publication number | Publication date |
|---|---|
| CN115455540A (en) | 2022-12-09 |
Similar Documents
| Publication | Publication Date | Title |
|---|---|---|
| CN109885911B (en) | Tunnel composite lining design method including secondary lining under multi-load action | |
| CN109543207B (en) | Method for realizing double-mold casting component multi-component design by considering variable parting line | |
| CN104631436B (en) | Improve the method for Integral Abutment supporting pile stress performance with H type concrete-pile | |
| CN106557638A (en) | The method for building up of the two-way transition element grid model of welding mixing | |
| CN115455540B (en) | Optimal design method of empty box retaining wall | |
| CN110008613B (en) | Grid type soft soil foundation bearing characteristic calculation method | |
| CN205822626U (en) | A kind of staggered form cantilever stair | |
| CN111062154A (en) | Fluid-solid coupling calculation method for buildings in canal system of south-to-north water diversion | |
| CN109930456B (en) | Method for determining reinforcement rate control index of double-layer continuous reinforced concrete pavement | |
| CN201730104U (en) | Hollow raft foundation structure of tower furnace | |
| CN207079457U (en) | CFST Arch Bridge and its arch rib | |
| CN204703562U (en) | The stressed wall panel structure in a kind of uncovered ultra-deep pond | |
| CN103388342B (en) | Composite foundation and design method thereof | |
| CN111008498B (en) | Analysis method for structural size of hyperstatic hanging and wing connecting unit | |
| CN205876338U (en) | Consolidate wood centering of loess cave dwelling | |
| CN106066902B (en) | Based on growth evolutional structure Topology Optimization Method | |
| Xuewen et al. | Finite element analysis on double-telescopic prop of hydraulic support | |
| CN104499494A (en) | Double-wall corrugated steel cofferdam | |
| CN206956530U (en) | A kind of concrete-filled steeltubewith dumbbell sections arch rib | |
| SHI et al. | A finite volume method for numerical modeling of 2-D flow and sediment movements on unstructured grids | |
| CN113239427A (en) | Method for enhancing lateral deformation resistance mechanical property of existing pile foundation | |
| Yang et al. | Global stability analytical method of cavern group in salt rock based on energy criterion | |
| CN111985021A (en) | Safety degree analysis method for all-over joint fluid-solid coupling of shield excavation surface | |
| CN205088963U (en) | Concrete feeding hopper | |
| Li et al. | Efficient steel-concrete slab designed using multi-material topology optimisation |
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 |