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 PDFInfo
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- 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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- G06F30/23—Design optimisation, verification or simulation using finite element methods [FEM] or finite difference methods [FDM]
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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
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.
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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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CN202022216U (en) * | 2010-12-07 | 2011-11-02 | 株洲时代新材料科技股份有限公司 | Anti-side rolling torsion bar for railway vehicle |
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JP2005044146A (en) * | 2003-07-22 | 2005-02-17 | National Institute Of Advanced Industrial & Technology | Finite element analysis method, program and device |
CN202022216U (en) * | 2010-12-07 | 2011-11-02 | 株洲时代新材料科技股份有限公司 | Anti-side rolling torsion bar for railway vehicle |
CN104933234A (en) * | 2015-06-04 | 2015-09-23 | 株洲时代新材料科技股份有限公司 | Analysis method of torsion bar assembly in side rolling resistance torsion bar system of locomotive |
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