CN105631117B - A kind of spline connection anti-side rolling torsion rod Meshing Method - Google Patents

A kind of spline connection anti-side rolling torsion rod Meshing Method Download PDF

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Publication number
CN105631117B
CN105631117B CN201510997242.7A CN201510997242A CN105631117B CN 105631117 B CN105631117 B CN 105631117B CN 201510997242 A CN201510997242 A CN 201510997242A CN 105631117 B CN105631117 B CN 105631117B
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grid
torsion
torsion bar
spline
bar shaft
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CN105631117A (en
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曾晶晶
卜继玲
刘柏兵
王永冠
张亚新
吕士勇
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Zhuzhou Times New Material Technology Co Ltd
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Zhuzhou Times New Material Technology Co Ltd
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    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F30/00Computer-aided design [CAD]
    • G06F30/20Design optimisation, verification or simulation
    • G06F30/23Design optimisation, verification or simulation using finite element methods [FEM] or finite difference methods [FDM]
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F30/00Computer-aided design [CAD]
    • G06F30/10Geometric CAD
    • G06F30/17Mechanical parametric or variational design

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  • Computer Hardware Design (AREA)
  • General Engineering & Computer Science (AREA)
  • Pure & Applied Mathematics (AREA)
  • Mathematical Optimization (AREA)
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  • Computational Mathematics (AREA)
  • Shafts, Cranks, Connecting Bars, And Related Bearings (AREA)
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Abstract

The invention discloses a kind of splines to couple anti-side rolling torsion rod Meshing Method, it is characterised in that step includes: that symmetrical cutting retains 1/2 structure;Cutting is carried out to torsion bar shaft and takes out 1/N structure;It is cut into multiple sub-blocks;Radial surface grids are arranged on torsion bar shaft spline tooth section;Grid in each sub-block is divided by the way of Mapping, will be far from the free ratio enlargement of size of mesh opening of spline tooth and escape characteristic portion;Grid is replicated into the total-grid division that torsion bar shaft is completed in rotation along the central axis of torsion bar shaft;Torsion arm is cut;Radial surface grids are arranged on torsion arm spline tooth section;Using the model split of Mapping, the grid between spline tooth pair is made to realize conode;Grid far from torsion arm spline tooth position carries out free amplification;All surface grids are deleted, realize that the total-grid of spline connection anti-side rolling torsion rod divides using Reflect mode.The present invention has the advantages that ensure that the normal convergence of finite element analysis, solving speed are fast.

Description

A kind of spline connection anti-side rolling torsion rod Meshing Method
Technical field
The present invention relates to the anti-side rolling torsion rod designing techniques of high-speed EMUs, car etc., and in particular to a kind of spline connection Anti-side rolling torsion rod Meshing Method.
Background technique
High-speed EMUs, car etc., which have been all made of air spring and have opened, improves Vertical Vibration of Vehicle performance, and car body is made to sidewinder vibration Dynamic angular rigidity becomes flexible relative, but this also increases the angle of heel angular displacement of car body in operation, brings serious safety hidden Suffer from.Domestic and international Bogie Frames of High Speed Passenger Car is all provided with anti-side rolling torsion rod while using air spring thus.Anti-side rolling torsion rod It is made of torsion bar shaft, torsion arm, wherein torsion bar shaft is main stressed member.When car body sidewinders, two horizontal positioned torsion arms There are mutually opposing a power and torque respectively for torsion bar, so that twiot arm is born torque and generate elasticity of torsion change Shape generates the contrary of angle of roll angular displacement with car body, to constrain the rolling of car body.Torsion bar shaft couples with torsion arm Mode mainly has interference fit joint to couple with spline.Interference fit joint generally uses the method one-pass molding of the temperature difference, simple and reliable process, But it is not easy to disassemble, influence operation maintenance maintenance efficiency;Spline connection is generally made of internal spline and external splines, is commonly applied to transmit Biggish torque and the demanding quiet connection of centering precision and dynamic connection, can then dismantle replacement, and energy using spline connection Preferably transmit torque.
At present in the anti-side rolling torsion rod design phase, strength check and tired school can be all carried out using finite element analysis technology Core.But when carrying out finite element analysis to anti-side rolling torsion rod at present, generally there are following disadvantages: (I) deletes spline feature, makes to turn round Coupled between bar axis and torsion arm using shiny surface, but analysis precision reduces, and cannot especially analyze at spline tooth and escape Stress distribution, and spline tooth and spline escape be spline connection anti-side rolling torsion rod stress concentrate position.(II) due to turning round There are spline tooths and escape labyrinth feature on bar axis and torsion arm, generally use tetrahedral grid C3D4(tetrahedron one Sub-cell) it is divided.Since spline tooth is more to contact surface, convergence is very poor.(III) in order to obtain accurate result, Analysis precision is improved, thinner grid is divided as far as possible when dividing tetrahedral grid C3D4, grid is finely divided, grid cell ruler Very little small, anti-side rolling torsion rod structured grid quantity is big, increases the number of grid of structure, cause number of grid is big, computational efficiency is low, The analysis and solution time is elongated, and finite element analysis efficiency reduces.Therefore, how grid is carried out to the anti-side rolling torsion rod of spline connection to draw Point, it is ensured that the normal convergence of finite element analysis improves solving speed, is a problem to be solved by those skilled in the art.
Summary of the invention
The technical problem to be solved in the present invention: in view of the above problems in the prior art, finite element can be ensured by providing one kind The fast spline of the normal convergence of analysis, solving speed couples anti-side rolling torsion rod Meshing Method.
In order to solve the above-mentioned technical problem, the technical solution adopted by the present invention are as follows:
A kind of spline couples anti-side rolling torsion rod Meshing Method, it is characterised in that step includes:
1) spline connection anti-side rolling torsion rod is symmetrically cut, retains 1/2 structure and is used for grid dividing;
2) 1/2 structure of reservation cuts torsion bar shaft along central axis, takes out 1/N structure and is divided for network, Retain the structure feature of torsion bar shaft spline tooth and escape, wherein N is the quantity of torsion bar shaft spline tooth;
3) the 1/N structure of taking-up is cut into the sub-block of specified quantity radially and axially according to structure feature, it is prominent to turn round The structure feature of bar axis spline tooth and escape;
4) specified matrix grid unit is arranged on torsion bar shaft spline tooth section, by the grid edge in remaining cross section Radial freely amplify size of mesh opening reduces number of grid;
5) grid that grid in each sub-block is divided by the way of Mapping along on axis, and used is six Face volume mesh C3D8R or tetrahedral grid C3D10, the size of mesh opening that will be far from spline tooth and escape characteristic portion carry out freely Ratio enlargement;
6) grid duplication is rotated to 90 degree along the central axis of torsion bar shaft, obtains 1/4 grid model of torsion bar shaft;Continue Along the central axis of torsion bar shaft by grid duplication rotation to 360 degree, the total-grid for completing torsion bar shaft is divided;
7) torsion arm is cut, the structure feature of prominent torsion arm spline tooth, and is cut into any one torsion arm flower The local feature of key teeth;
8) specified matrix grid unit is arranged on the torsion arm spline tooth section for being cut into torsion arm spline tooth, other 8 grids are arranged in section altogether;
9) based on torsion bar arm along axial number of grid and the consistent principle of torsion bar shaft number of grid, using the side of Mapping Formula is divided, and the grid between spline tooth pair is made to realize conode;
10) grid that will be far from torsion arm spline tooth position carries out free amplification, using tetrahedral grid C3D10 to torsion Other positions of arm are divided;
11) all surface grids are deleted, realize that the total-grid of spline connection anti-side rolling torsion rod is drawn using Reflect mode Point.
Preferably, the specified matrix grid unit in the step 4) specifically refers to 3*3 unit.
Preferably, the specified matrix grid unit in the step 8) specifically refers to 3*3 unit.
Spline connection anti-side rolling torsion rod Meshing Method of the present invention has an advantage that the present invention by coupling spline Anti-side rolling torsion rod is symmetrically cut, carries out total-grid division for torsion bar shaft, torsion bar arm, drawn by the way of Mapping Point, so that the grid between spline tooth pair is realized conode, improves finite element analysis convergence;It is complete to retain anti-side rolling torsion rod flower Key teeth and spline relief groove structure feature use hexahedron C3D8R grid dividing to spline tooth position, improve finite element analysis essence Degree;It is divided using other positions of hexahedral mesh C3D8R or tetrahedral grid C3D10 to torsion bar, far from spline teeth portion The grid of position carries out free amplification, improves finite element solving speed;All surface grids are deleted, flower is realized using Reflect mode The total-grid of key connecting anti-side rolling torsion rod divides, and realizes grid conode, improves finite element analysis convergence, and confrontation is sidewindered The size of mesh opening at other positions (removing spline tooth region) of torsion bar reduces anti-side rolling torsion rod grid number using the method gradually amplified Amount improves analysis speed, has the advantages that ensure that the normal convergence of finite element analysis, solving speed are fast.
Detailed description of the invention
Fig. 1 is the basic procedure schematic diagram of present invention method.
Fig. 2 is the axial symmetry figure of the spline connection anti-side rolling torsion rod of the embodiment of the present invention;
Fig. 3 is the torsion bar axle construction cutting schematic diagram of the embodiment of the present invention;
Fig. 4 is the torsion bar shaft spline tooth cutting schematic diagram radially and axially of the embodiment of the present invention;
Fig. 5 is the sagittal plane grid arrangement schematic diagram in the torsion bar shaft spline tooth section of the embodiment of the present invention;
Fig. 6 is the torsion bar shaft spline tooth axial direction grid arrangement schematic diagram of the embodiment of the present invention;
Fig. 7 is 1/4 grid model of torsion bar shaft of the embodiment of the present invention;
Fig. 8 is the torsion bar shaft grid model of the embodiment of the present invention;
Fig. 9 is the torsion arm configuration cutting schematic diagram of the embodiment of the present invention;
Figure 10 is the sagittal plane grid arrangement schematic diagram in the torsion arm spline tooth section of the embodiment of the present invention;
Figure 11 is the torsion arm spline tooth axial direction grid arrangement schematic diagram of the embodiment of the present invention;
Figure 12 is the torsion arm grid model of the embodiment of the present invention;
Figure 13 is the spline connection anti-side rolling torsion rod grid model of the embodiment of the present invention;
Figure 14 is the spline tooth coupling part grid partial enlarged view of the embodiment of the present invention.
Specific embodiment
As shown in Figure 1, the step of the present embodiment spline connection anti-side rolling torsion rod Meshing Method, includes:
1) spline connection anti-side rolling torsion rod is symmetrically cut, retains 1/2 structure and be used for grid dividing, as shown in Figure 2;
2) 1/2 structure of reservation cuts torsion bar shaft along central axis, takes out 1/N structure and is divided for network, Retain the structure feature of torsion bar shaft spline tooth 1 and escape 2, wherein N is the quantity of torsion bar shaft spline tooth 1, is had in the present embodiment Body is 40, i.e., the quantity of torsion bar shaft spline tooth 1 is 40 in torsion bar shaft, and 1/40 obtained structure is as shown in Figure 3;
3) 1/40 structure of taking-up is cut into the sub-block of specified quantity radially and axially according to structure feature, it is prominent to turn round The structure feature of bar axis spline tooth 1 and escape 2, finally obtained sub-block are as shown in Figure 4;
4) radial surface grids are arranged on torsion bar shaft spline tooth section 11, it may be assumed that arrange on torsion bar shaft spline tooth section 11 Size of mesh opening is radially freely amplified and subtracts number of grid by specified matrix grid unit by the grid in remaining cross section It is few, as a result as shown in Figure 5;Specified matrix grid unit in the present embodiment step 4) specifically refers to 3*3 unit;
5) grid that grid in each sub-block is divided by the way of Mapping along on axis, and used is six Face volume mesh C3D8R(hexahedron linearly reduces integral unit, is suitable for contact analysis) or tetrahedral grid C3D10(tetrahedron Two sub-cells are suitable for free mesh technology), it will be far from spline tooth 1 and 2 characteristic portion of escape (referring to the mark in Fig. 6 Numbers 12 and size of mesh opening 13) carry out free ratio enlargement, as a result as shown in Figure 6;
6) grid duplication is rotated to 90 degree along the central axis of torsion bar shaft, obtains 1/4 grid model of torsion bar shaft, such as schemes Shown in 7;Grid duplication is rotated the total-grid division that torsion bar shaft is completed to 360 degree by the central axis for continuing on torsion bar shaft, most The result obtained eventually is as shown in Figure 8;
7) torsion arm is cut, the structure feature of prominent torsion arm spline tooth 3, and is cut into any one torsion arm flower The local feature of key teeth 3, as shown in Figure 9;
8) radial surface grids are arranged on torsion arm spline tooth section 31, it may be assumed that in the torsion for being cut into torsion arm spline tooth 3 Specified matrix grid unit is arranged on arm spline tooth section 31,8 grids are arranged in other sections altogether, as shown in Figure 10;This reality It applies the matrix grid unit specified in a step 8) and specifically refers to 3*3 unit;
9) based on torsion bar arm along axial number of grid and the consistent principle of torsion bar shaft number of grid, using the side of Mapping Formula is divided, and so that the grid between spline tooth pair is realized conode, as shown in figure 11;
10) grid that will be far from 3 position of torsion arm spline tooth carries out free amplification, using tetrahedral grid C3D10 to torsion Other positions of pivoted arm are divided, as shown in figure 12;
11) all surface grids are deleted, realize that the total-grid of spline connection anti-side rolling torsion rod is drawn using Reflect mode Point, as shown in figure 13, wherein spline tooth coupling part grid partial enlarged view is as shown in figure 14.
The above is only a preferred embodiment of the present invention, protection scope of the present invention is not limited merely to above-mentioned implementation Example, all technical solutions belonged under thinking of the present invention all belong to the scope of protection of the present invention.It should be pointed out that for the art Those of ordinary skill for, several improvements and modifications without departing from the principles of the present invention, these improvements and modifications It should be regarded as protection scope of the present invention.

Claims (3)

1. a kind of spline couples anti-side rolling torsion rod Meshing Method, it is characterised in that step includes:
1) spline connection anti-side rolling torsion rod is symmetrically cut, retains 1/2 structure and is used for grid dividing;
2) 1/2 structure of reservation cuts torsion bar shaft along central axis, takes out 1/N structure and divided for network, is retained The structure feature of torsion bar shaft spline tooth (1) and escape (2), wherein N is the quantity of torsion bar shaft spline tooth (1);
3) the 1/N structure of taking-up is cut into the sub-block of specified quantity, prominent torsion bar shaft radially and axially according to structure feature The structure feature of spline tooth (1) and escape (2);
4) specified matrix grid unit is arranged on torsion bar shaft spline tooth section (11), by the grid edge in remaining cross section Radial freely amplify size of mesh opening reduces number of grid;
5) grid that grid in each sub-block is divided by the way of Mapping along on axis, and used is hexahedron Grid C3D8R or tetrahedral grid C3D10, the size of mesh opening that will be far from spline tooth (1) and escape (2) characteristic portion carry out certainly By ratio enlargement;
6) grid duplication is rotated to 90 degree along the central axis of torsion bar shaft, obtains 1/4 grid model of torsion bar shaft;It continues on By grid duplication rotation to 360 degree, the total-grid for completing torsion bar shaft divides the central axis of torsion bar shaft;
7) torsion arm is cut, the structure feature of prominent torsion arm spline tooth (3), and is cut into any one torsion arm spline The local feature of tooth (3);
8) specified matrix grid unit is arranged on the torsion arm spline tooth section (31) for being cut into torsion arm spline tooth (3), 8 grids are arranged in other sections altogether;
9) based on torsion bar arm along axial number of grid and the consistent principle of torsion bar shaft number of grid, by the way of Mapping into Row divides, and the grid between spline tooth pair is made to realize conode;
10) grid that will be far from torsion arm spline tooth (3) position carries out free amplification, using tetrahedral grid C3D10 to torsion Other positions of arm are divided;
11) all surface grids are deleted, realize that the total-grid of spline connection anti-side rolling torsion rod divides using Reflect mode.
2. spline according to claim 1 couples anti-side rolling torsion rod Meshing Method, which is characterized in that the step 4) In specified matrix grid unit specifically refer to 3*3 unit.
3. spline according to claim 2 couples anti-side rolling torsion rod Meshing Method, which is characterized in that the step 8) In specified matrix grid unit specifically refer to 3*3 unit.
CN201510997242.7A 2015-12-28 2015-12-28 A kind of spline connection anti-side rolling torsion rod Meshing Method Active CN105631117B (en)

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CN107506507A (en) * 2016-06-14 2017-12-22 合肥杰事杰新材料股份有限公司 A kind of limited first analogy method of injection molding based on Moldflow symmetrical structures
CN109902407B (en) * 2019-03-06 2020-10-27 北京理工大学 Projectile finite element grid parametric modeling method for processing diamond patterns by high-energy beams
CN111159954B (en) * 2020-01-02 2023-04-14 株洲时代新材料科技股份有限公司 Free-form surface mesh layout and finite element analysis method, system and medium for elastic element

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