CN116127637A - Characteristic reconstruction type design method for shield tunneling machine cutterhead panel structure - Google Patents

Characteristic reconstruction type design method for shield tunneling machine cutterhead panel structure Download PDF

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CN116127637A
CN116127637A CN202310021434.9A CN202310021434A CN116127637A CN 116127637 A CN116127637 A CN 116127637A CN 202310021434 A CN202310021434 A CN 202310021434A CN 116127637 A CN116127637 A CN 116127637A
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design
panel
shield
tunneling machine
shield tunneling
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刘宏磊
宋晨旭
孙鹏飞
李宝童
洪军
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Xian Jiaotong University
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Abstract

The characteristic reconstruction type design method of the shield machine cutterhead panel structure comprises the steps of firstly determining cutter arrangement of the shield machine cutterhead panel, and establishing a shield machine cutterhead panel mechanical simulation model: extracting a domain to be analyzed and geometric and physical conditions according to the structural design problem of the actual shield tunneling machine cutterhead panel; then, a shield tunneling machine cutterhead panel characteristic reconstruction type design domain topology model is established; and then establishing a characteristic reconstruction type design mathematical model: the method comprises the steps of taking minimized flexibility, namely the optimal rigidity of a structure, as an objective function, describing a structure optimization method by adopting a variable density method, establishing an optimization model driven by a physical field, and determining the optimization direction of each time; then carrying out iterative optimization on the shield tunneling machine cutterhead panel structure to obtain the shield tunneling machine cutterhead panel structure with the maximum rigidity under the constraint condition of fixed volume ratio; finally, carrying out post-treatment on the optimized shield tunneling machine cutterhead panel structure; the invention improves the design efficiency and quality.

Description

Characteristic reconstruction type design method for shield tunneling machine cutterhead panel structure
Technical Field
The invention belongs to the technical field of shield tunneling machine cutterhead panel structure design, and particularly relates to a characteristic reconstruction type design method of a shield tunneling machine cutterhead panel structure.
Background
Along with the increasing demand of human society on underground space infrastructure, the shield machine which is used as facilities such as mountain tunnels and underground rail transit is widely applied, a shield machine cutterhead panel is used as one of the most critical parts of the shield machine, plays a vital role in excavating tunnels, and the advantages and disadvantages of the cutterhead panel structure directly influence the tunneling work of the shield machine.
The working condition of the shield machine is complex and bad, the design of the panel reinforcing ribs is mostly carried out according to experience in the current shield machine panel design, the panel optimization design is carried out by the friction between the panel and the soil layer (Feng Chang, zhu Shumin, chen Guosan. The earth pressure balance shield cutter disc optimization design and analysis [ J ]. The machinery manufacturing and automation, 2017,46 (03): 144-147+188.DOI: 10.19344/j.cnki.isn 1671-5276.2017.03.041.), the stress condition of each cutting tool of the panel is not fully considered, and the cutter disc panel reinforcing rib structure obtained by optimization can not be suitable for the real stress condition of the tools when the shield machine panel works.
Disclosure of Invention
In order to overcome the defects of the technology, the invention aims to provide a characteristic reconstruction type design method of a shield tunneling machine cutterhead panel structure, and design efficiency and quality are improved.
In order to achieve the purpose, the invention adopts the following technical scheme:
a characteristic reconstruction type design method of a shield tunneling machine cutterhead panel structure comprises the following steps:
1) Determining a mechanical simulation model of a shield tunneling machine panel:
1.1 Determining shield machine panel related parameters:
parameters of the shield tunneling machine panel required to be optimized are initially set, and the parameters comprise: outer diameter d of shield machine 0 Maximum cutting diameter d of tool 1 Center knife cuttingRadius d 2 Width b of cutter head tangent 1 The superposition amount e of the cutters, the number N of cutter disc spokes and the width b of the edge cutter 2 ；
1.2 Determining cutter head cutter arrangement:
the minimum number of the tangent cutters required by the shield tunneling machine panel is as follows:
Figure BDA0004042470330000021
number of tangent cutters N of cutter head 1 N is obtained after rounding 0 The overlapping amount of the positive cutting knife and the center knife is as follows:
c＝(b 1 -e)×(N 0 -N 1 ) (2)
the initial value of the tangent knife archimedes spiral is:
Figure BDA0004042470330000022
the archimedes spiral coefficient α is:
Figure BDA0004042470330000023
the cutter head tangent cutter spiral arrangement curve equation is:
ρ＝ρ 0 +αθ (5)
adding other shield tunneling machine cutters and determining the arrangement result of the cutter of the whole cutter head panel;
2) Establishing a shield tunneling machine cutterhead panel characteristic reconstruction model:
2.1 Building a shield tunneling machine cutterhead panel characteristic reconstruction design domain topology model:
establishing a design domain topology model according to the determined cutter head structure, wherein the adopted characteristic reconstruction design method takes isotropic pseudo-density units as the minimum unit of structural optimization, and the design domain is characterized as closely arranged pseudo-density units; the pseudo density value x of the pseudo density unit is taken as a design variable, and reflects the density and the density of the materialCorrespondence between material properties; the pseudo-density values 1 and 0 represent the presence or absence of the position structure, respectively, and the design variable field x= { x 1 ,x 2 ,...,x i ,...} T Characterizing the structure distribution in the design domain, and defining the design domain and the non-design domain of the structure according to the pseudo density value;
2.2 Establishing a mathematical model of a characteristic reconstruction design method:
the structural design target is to determine the optimal structural path of the cutting force born by the cutter of the cutter head panel of the shield machine to Niu Tuifa blue and panel fixing points, the design target is the rigidity of the panel structure to be maximum, therefore, the objective function of the optimized mathematical model is c (x), the constraint function is the opening rate of the panel of the shield machine, namely the final material volume fraction f of the design domain, the panel material is determined, and for the design target and the constraint function, the following characteristic reconstruction design method mathematical model is established:
Figure BDA0004042470330000031
wherein: x is x e Is the unit density, i.e., the design variable; u is a displacement matrix; k is a rigidity matrix; v (V) (x) Is the structural volume; v (V) 0 Is the total volume; f is the volume fraction; u (u) e Is a unit displacement vector; k (k) 0 Is a matrix of cell stiffness; p is a penalty factor;
2.3 Sensitivity analysis of the feature reconstruction design method:
before the iterative algorithm is carried out, sensitivity analysis is needed to be carried out on the objective function relative to the design variables, the unit displacement amounts of i stress points are accumulated when the sensitivity analysis is carried out, and the final sensitivity function is as follows:
Figure BDA0004042470330000041
3) Iterative optimization of shield machine panel structure:
obtaining an optimal structural model through continuous iterative optimization of material pseudo-density values, taking the design variables, the objective functions, the constraint functions and the sensitivity thereof about the design variables obtained in the previous steps as input, optimizing a mathematical model of a characteristic reconstruction design method by using a gradient-based OC algorithm, and updating the design variables; until the objective function converges under the condition of meeting the constraint condition, thereby obtaining the optimal panel structure meeting the material consumption;
4) Structural post-treatment:
and carrying out smooth rounding treatment on the optimally designed shield machine panel structure, and further modifying according to the processing technology requirements and the manufacturing and assembling requirements to obtain the final design.
The invention has the following beneficial results:
the invention does not depend on the long-term design experience of the designer, so the design labor cost of enterprises can be reduced; the invention uses the characteristic reconstruction design, and initially proposes the characteristic optimization of the panel structure according to the actual stress condition of the cutter on the panel of the cutter head of the shield machine, so that the design result has more theoretical basis, the final structure is more reasonable, and the performance is more excellent;
compared with the current mainstream shield machine panel design method, the method does not need repeated design, simulation and improvement when in design, and obviously improves the working efficiency and design performance, thereby helping enterprises to better cope with the market which changes rapidly and realizing better production benefits.
Drawings
FIG. 1 is a flow chart of the present invention.
Fig. 2 is a schematic diagram of a cutterhead and cutter arrangement according to an embodiment of the present invention.
FIG. 3 is a schematic diagram of a result of reconstructing a panel characteristic of a shield tunneling machine according to an embodiment of the present invention.
Fig. 4 is a schematic diagram of a panel structure design of a shield tunneling machine according to an embodiment of the present invention.
Detailed Description
The invention is described in detail below with reference to the accompanying drawings and examples, and the method of the invention can be used for structural design of various spoke shield machine panels, and the example adopts structural design of a certain type 4 spoke shield;
referring to fig. 1, a method for designing a characteristic reconstruction type shield tunneling machine cutterhead panel structure includes the following steps:
1) Determining a mechanical simulation model of a shield tunneling machine panel:
1.1 Determining shield machine panel related parameters:
parameters of shield tunneling machine panel required to be optimized are initially set, and outer diameter d of shield tunneling machine 0 =6280 mm, maximum cutting diameter d of tool 1 =6300 mm, center knife cutting radius d 2 1900mm, cutter head tangent cutter width b 1 The overlapping amount of the cutter is e=4mm, the spoke number of the cutter disc is N=4, and the width of the side cutter b is 100mm 2 =150mm, the tangential knife adopts a double helix arrangement;
1.2 Determining cutter head cutter arrangement:
the minimum number of the tangent cutters required by the shield tunneling machine panel is as follows:
Figure BDA0004042470330000061
number of tangent cutters N of cutter head 1 N is obtained after rounding 0 =22, the amount of overlap of the positive and center knives is:
c＝(b 1 -e)×(N 0 -N 1 )＝(100-4)×(22-21.35)＝62.4 (2)
the initial value of the tangent knife archimedes spiral is:
Figure BDA0004042470330000062
the archimedes spiral coefficient α is:
Figure BDA0004042470330000063
the double-helix arrangement curve equation of the cutter head tangent cutter arrangement is:
Figure BDA0004042470330000064
Figure BDA0004042470330000065
the shell cutters are uniformly distributed on the outermost side of the cutter disc along the circumference, and in the embodiment, 4 shell cutters are uniformly distributed among 4 spokes; the arrangement of all cutters of the final cutter disc is shown in fig. 2, and a hollow circle can be seen from the figure to represent the positions of the cutters, and a solid circle is the positions of four shell cutters;
2) Establishing a shield tunneling machine cutterhead panel characteristic reconstruction model:
2.1 Building a shield tunneling machine cutterhead panel characteristic reconstruction design domain topology model:
establishing a design domain topology model according to the determined cutter head structure, wherein the adopted characteristic reconstruction design method takes isotropic pseudo-density units as the minimum unit of structural optimization, and the design domain is characterized as closely arranged pseudo-density units; taking a pseudo density value x of the pseudo density unit as a design variable, wherein the pseudo density value x reflects the corresponding relation between the material density and the material property; the pseudo-density values 1 and 0 represent the presence or absence of the position structure, respectively, and the design variable field x= { x 1 ,x 2 ,...,x i ,...} T The structural distribution in the design domain is characterized, the center soil flow rate of the shield machine is small, the pile-up cutting shield machine is easy to form, the stress of the cutter is increased along with the increase of the radius, the stress at the center of the embodiment is not counted, the center pseudo density value is defined as 0 in advance, the stress of the design domain is the arrangement position of the cutter of the panel of the shield machine determined in the last step, and the fixed constraint point is the lap joint surface of the bracket flange of the shield machine and the cutter panel of the shield machine;
2.2 Establishing a mathematical model of a characteristic reconstruction design method:
the structural design objective of this embodiment is to transfer the determined cutter stress of the shield tunneling machine panel to the optimal structural path of the panel and Niu Tuifa blue and panel fixing points, the design objective is that the rigidity of the panel structure is the largest, therefore, the objective function of the optimized mathematical model is c (x), the constraint function is the opening rate of the shield tunneling machine panel, namely the volume fraction f of the final material of the design domain, the panel material is Q235, so that the young modulus used by the unit rigidity matrix K is 210GPa, the poisson ratio is 0.3, and for the design objective and constraint function, the following topological optimized mathematical model is established:
Figure BDA0004042470330000081
wherein: x is x e Is the unit density, i.e., the design variable; u is a displacement matrix; k is a rigidity matrix; v (V) (x) Is the structural volume; v (V) 0 Is the total volume; f is the volume fraction; u (u) e Is a unit displacement vector; k (k) 0 Is a matrix of cell stiffness; p is a penalty factor;
2.3 Sensitivity analysis of the feature reconstruction design method:
before the iterative algorithm is performed, sensitivity analysis is required to be performed on the objective function relative to the design variable, and the cutter head panel of the shield machine adopted in the embodiment has more stress points, so that unit displacement amounts of the i stress points are accumulated during sensitivity analysis, and the final sensitivity function is as follows:
Figure BDA0004042470330000082
3) Iterative optimization of shield machine panel structure:
obtaining an optimal structural model through continuous iterative optimization of material pseudo-density values, taking the design variables, the objective functions, the constraint functions and the sensitivity thereof about the design variables obtained in the previous steps as input, optimizing a mathematical model of a characteristic reconstruction design method by using a gradient-based OC algorithm, and updating the design variables; until the objective function converges under the condition of meeting the constraint condition, thereby obtaining the optimal panel structure meeting the material consumption; the convergence condition of the embodiment is that the difference value of the objective function of two adjacent iterations is smaller than 0.01; when the optimization is finished, the volume fraction of the design result is 40% of the whole design domain, the final characteristic reconstruction design structure is shown in fig. 3, the center cross structure can be seen to be the spoke of the cutterhead, and the rest part is the panel structure obtained by the characteristic reconstruction design;
4) Structural post-treatment:
and carrying out smooth rounding treatment on the shield machine panel structure which is optimally designed, and further modifying according to the processing technology requirements and the manufacturing and assembling requirements to obtain a final design, wherein the result of the smooth rounding shield machine panel structure is shown in fig. 4.

Claims (1)

1. The characteristic reconstruction type design method of the shield tunneling machine cutterhead panel structure is characterized by comprising the following steps of:
1) Determining a mechanical simulation model of a shield tunneling machine panel:
1.1 Determining shield machine panel related parameters:
parameters of the shield tunneling machine panel required to be optimized are initially set, and the parameters comprise: outer diameter d of shield machine 0 Maximum cutting diameter d of tool 1 Center knife cutting radius d 2 Width b of cutter head tangent 1 The superposition amount e of the cutters, the number N of cutter disc spokes and the width b of the edge cutter 2 ；
1.2 Determining cutter head cutter arrangement:
the minimum number of the tangent cutters required by the shield tunneling machine panel is as follows:
Figure FDA0004042470320000011
number of tangent cutters N of cutter head 1 N is obtained after rounding 0 The overlapping amount of the positive cutting knife and the center knife is as follows:
c＝(b 1 -e)×(N 0 -N 1 ) (2)
the initial value of the tangent knife archimedes spiral is:
Figure FDA0004042470320000012
the archimedes spiral coefficient α is:
Figure FDA0004042470320000013
the cutter head tangent cutter spiral arrangement curve equation is:
ρ＝ρ 0 +αθ (5)
adding other shield tunneling machine cutters and determining the arrangement result of the cutter of the whole cutter head panel;
2) Establishing a shield tunneling machine cutterhead panel characteristic reconstruction model:
2.1 Building a shield tunneling machine cutterhead panel characteristic reconstruction design domain topology model:
establishing a design domain topology model according to the determined cutter head structure, wherein the adopted characteristic reconstruction design method takes isotropic pseudo-density units as the minimum unit of structural optimization, and the design domain is characterized as closely arranged pseudo-density units; taking a pseudo density value x of the pseudo density unit as a design variable, wherein the pseudo density value x reflects the corresponding relation between the material density and the material property; the pseudo-density values 1 and 0 represent the presence or absence of the position structure, respectively, and the design variable field x= { x 1 ,x 2 ,...,x i ,...} T Characterizing the structure distribution in the design domain, and defining the design domain and the non-design domain of the structure according to the pseudo density value;
2.2 Establishing a mathematical model of a characteristic reconstruction design method:
the structural design target is to determine the optimal structural path of the cutting force born by the cutter of the cutter head panel of the shield machine to Niu Tuifa blue and panel fixing points, the design target is the rigidity of the panel structure to be maximum, therefore, the objective function of the optimized mathematical model is c (x), the constraint function is the opening rate of the panel of the shield machine, namely the final material volume fraction f of the design domain, the panel material is determined, and for the design target and the constraint function, the following characteristic reconstruction design method mathematical model is established:
Figure FDA0004042470320000021
wherein: x is x e Is the unit density, i.e., the design variable; u is a displacement matrix; k is justA degree matrix; v (V) (x) Is the structural volume; v (V) 0 Is the total volume; f is the volume fraction; u (u) e Is a unit displacement vector; k (k) 0 Is a matrix of cell stiffness; p is a penalty factor;
2.3 Sensitivity analysis of the feature reconstruction design method:
before the iterative algorithm is carried out, sensitivity analysis is needed to be carried out on the objective function relative to the design variables, the unit displacement amounts of i stress points are accumulated when the sensitivity analysis is carried out, and the final sensitivity function is as follows:
Figure FDA0004042470320000031
3) Iterative optimization of shield machine panel structure:
obtaining an optimal structural model through continuous iterative optimization of material pseudo-density values, taking the design variables, the objective functions, the constraint functions and the sensitivity thereof about the design variables obtained in the previous steps as input, optimizing a mathematical model of a characteristic reconstruction design method by using a gradient-based OC algorithm, and updating the design variables; until the objective function converges under the condition of meeting the constraint condition, thereby obtaining the optimal panel structure meeting the material consumption;
4) Structural post-treatment:
and carrying out smooth rounding treatment on the optimally designed shield machine panel structure, and further modifying according to the processing technology requirements and the manufacturing and assembling requirements to obtain the final design.
CN202310021434.9A 2023-01-07 2023-01-07 Characteristic reconstruction type design method for shield tunneling machine cutterhead panel structure Pending CN116127637A (en)

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Cited By (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN117852216A (en) * 2024-03-06 2024-04-09 山东天工岩土工程设备有限公司 Method, equipment and medium for configuring shield machine cutter of stratum shield

Cited By (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN117852216A (en) * 2024-03-06 2024-04-09 山东天工岩土工程设备有限公司 Method, equipment and medium for configuring shield machine cutter of stratum shield

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