CN106525418B - A kind of engaging portion stiffness analysis method for sided locking knife handle-main shaft under high speed conditions - Google Patents
A kind of engaging portion stiffness analysis method for sided locking knife handle-main shaft under high speed conditions Download PDFInfo
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- CN106525418B CN106525418B CN201610985606.4A CN201610985606A CN106525418B CN 106525418 B CN106525418 B CN 106525418B CN 201610985606 A CN201610985606 A CN 201610985606A CN 106525418 B CN106525418 B CN 106525418B
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Abstract
The engaging portion stiffness analysis method that the invention discloses a kind of for sided locking knife handle-main shaft under high speed conditions, more specifically a kind of bound fraction shape rigidity modeling method for considering double combination surface pressure uneven distribution, and system engaging portion rigidity under high speed conditions is analyzed based on this method.This method initially sets up three-dimensional fractal normal direction and shear stiffness model, and each node pressure values on the double combination face obtained based on static analysis, the corresponding equivalent stiffness value of calculate node, and obtains engaging portion torsion and radial rigidity value by transformation model.The final effect tendency for disclosing broach force under different rotating speeds and high revolving speed, disc spring rigidity with disc spring pretightning force to engaging portion rigidity.The characteristics of this method, considers elastic-plastic deformation in fractal theory and the influence of the factor is expanded in domain, it is considered in finite element analysis simultaneously and is unevenly distributed situation in conjunction with surface pressure, to carry out Accurate Model and analysis for BT40 knife handle-main shaft engaging portion rigidity under high speed conditions.
Description
Technical field
The invention belongs to knife handle-axis system dynamic analysis fields, are related to a kind of for sided locking knife handle-main shaft
Engaging portion stiffness analysis method under high speed conditions, more specifically a kind of double combination surface pressure uneven distribution that considers
Bound fraction shape rigidity modeling method, and system engaging portion rigidity under high speed conditions is analyzed based on this method.
Background technique
Knife handle is the important component of connecting machine tool main shaft and cutter, and main shaft-cutter handle combining part is the weak ring of the system
One of section, engaging portion stiffness characteristics directly affect system machining accuracy.BT40 type knife handle-axis system is a kind of traditional list
Face contact knife handle can generate local detachment in high speed conditions inferior pyramidal faying face, seriously affect its overall performance, sided locking
Knife handle-axis system effectively raises the engaging portion rigidity under high speed conditions, improves system machining accuracy.Sided locking
Knife handle is made of knife handle ontology, disc spring, tapered sleeve three parts, by applying broach force together with main shaft close-coupled, in height
Disc spring can push tapered sleeve to adjust between its male cone (strobilus masculinus) and main shaft inner conical surface and knife handle end face and main shaft end face automatically under speed conditions
Between night distribution, fitting closely for double combination face is remained, so as to improve overall dynamics performance.But it is being higher than certain turn
Big end local detachment still can occur for taper faying face when the fast upper limit, to reduce engaging portion rigidity, influence dynamic performance.
It is that the interference effect of the external environments such as noise in Experimental Identification method is affected to rigidity estimation results due to traditional, and the party
Method is only limitted to analysis without knife handle under speed conditions-axis system engaging portion rigidity Research.In order to knife handle main shaft engaging portion rigidity
It is analyzed, fractal theory provides a kind of effective way with the mode that emulation combines for the engaging portion rigidity modeling.Divide shape
Theory is a kind of effective modeling method for analyzing faying face, in this method faying face characterization parameter have Scaling, not by
The advantages such as instrumental resolution and sample length influence, are widely used in and estimate the exposure parameters such as joint surface contact stiffness damping.
The three-dimensional fractal model that considers in the present invention while considering elastic-plastic deformation and the influence of factor pair point shape rigidity is expanded in domain, and
Three-Dimensional contact normal direction and shear stiffness model are established based on this.By carrying out three-dimensional modeling and finite element to sided locking knife handle
Static analysis obtains the non-uniform node pressure distribution situation in double combination face, and three-dimensional fractal model is combined with finite element analysis
Mode can effectively improve the estimate accuracy of engaging portion rigidity.It is multiple that this method can be used for solving current sided locking knife handle structure
It is miscellaneous, it is difficult to which that the bottleneck for analyzing engaging portion stiffness analysis realizes sided locking knife handle-axis system engaging portion under high speed conditions
Rigidity modeling analysis.
Summary of the invention
The present invention is intended to provide a kind of engaging portion stiffness analysis for sided locking knife handle-main shaft under high speed conditions
Method.This method is mainly characterized by using in conjunction with three-dimensional fractal microscopic contact rigidity modeling theory and Finite Element Static Analysis
Method models the sided locking knife handle under high speed conditions-axis system engaging portion torsion with radial rigidity, and is divided
Analysis, becomes to disclose the influence of different technical parameters (revolving speed, broach force, disc spring rigidity and disc spring pretightning force) to engaging portion rigidity
Gesture.
The present invention is realized using following technological means:
S1, consider that elastic-plastic deformation and domain expand the influence of the factor simultaneously, obtained accurate three-dimensional fractal theory, and base
Contact normal direction and shear stiffness model are established in the theory.
S2, to sided locking knife handle-axis system 3-D geometric model, and add osculating element, carry out finite element static(al)
Each node pressure values in double combination face are extracted in analysis, pass through the faying face of regional area where obtaining each node multiplied by grid area
Pressure value.
S3, it is based on three-dimensional fractal theory, it is corresponding to calculate each node using node regional area faying face pressure value as input
Faying face contact normal direction and shear stiffness value.
S4, the modulus of conversion that each node corresponds to normal stiffness, shear stiffness and double combination face torsion stiffness, radial rigidity is established
Type calculates engaging portion torsion and radial rigidity value.
It is S5, corresponding by seeking under different rotating speeds and high speed conditions different broach forces, disc spring pretightning force, disc spring rigidity
Engaging portion rigidity value discloses revolving speed, broach force, disc spring rigidity and disc spring pretightning force to the effect tendency of engaging portion rigidity.
Method of the features of the present invention in conjunction with three-dimensional fractal microscopic contact rigidity modeling theory and Finite Element Static Analysis,
Sided locking knife handle under high speed conditions-axis system engaging portion torsion is modeled with radial rigidity, to disclose different works
Skill parameter (revolving speed, broach force, disc spring rigidity and disc spring pretightning force) is to the effect tendency of engaging portion rigidity.
Detailed description of the invention
The torsion of the engaging portion Fig. 1 and radial rigidity schematic diagram；
Effect tendency of Fig. 2 different rotating speeds to engaging portion rigidity；
Effect tendency of the broach force to engaging portion rigidity under Fig. 3 25000r/min high speed conditions；
Effect tendency of the disc spring rigidity to engaging portion rigidity under Fig. 4 25000r/min high speed conditions；
Effect tendency of the disc spring pretightning force to engaging portion rigidity under Fig. 5 25000r/min high speed conditions；
Specific embodiment
Below in conjunction with attached drawing 1-5, invention is further described in detail.
Step (1) establishes three-dimensional normal direction and shear stiffness model；
Based on M-B fractal theory, in conjunction with Hertz theory, while considering that elastic-plastic deformation and domain expand factor ψ, by place
Single micro-bulge normal load in different distortion region, which carries out integral, can be obtained proof resilience normal load, elastoplasticity normal load
And total plastic property normal load difference is as follows:
Wherein HG1,HG2It is coefficient relevant to material properties and faying face fractal parameter,
H be compared with
The hardness of soft material, H=2.8Y (Y is yield strength value)；K is parameter relevant to Poisson's ratio, k=0.454+0.41 ν；a′1c,
a′2cCritical cross-section product respectively between elasticity, elastoplasticity and plastic deformation.
Then the total normal load of faying face is represented by F=Fe+Fep+Fp。
In normal stiffness modeling, it is respectively as follows: in flexible deformation and elastic-plastic deformation region normal contact stiffness
In shear stiffness modeling, it is respectively as follows: in flexible deformation and the tangential contact stiffness in elastic-plastic deformation region
G' is engaging portion equivalent shear modulus, 1/G'=(2- ν in formula1)/G1+(2-ν2)/G2；H1,H2Pass through formulaIt obtains.
To sum up, faying face normal direction and tangential total contact stiffness are respectively as follows: Kn=Kne+Knep, Kt=Kte+Ktep。
Step (2) Finite Element Static Analysis；
3-D geometric model is established to sided locking BTF40 knife handle-axis system, by using TARGE object element with
CONTAC osculating element establishes double combination face contact pair, using mapping mode to two-sided knife handle grid division, to main shaft into
The constraint of row axial restraint applies broach force in knife handle small end, integrally applies revolving speed constraint to system, carry out static analysis.Dividing
The node pressure values on conical surface faying face and end face faying face are extracted in analysis result respectively, and are calculated in grid institute where each node
In regional area faying face pressure value.
Step (3) calculates the corresponding equivalent normal direction of each node and shear stiffness on double combination face；
By partial pressure value where the conical surface and end face faying face node substitute into faying face fractal method to shear stiffness model
In, calculate equivalent normal direction and shear stiffness value corresponding to each node on double combination face.
Step (4) calculations incorporated portion radial direction and torsion stiffness；
Since taper faying face and end face faying face are rotationally symmetrical surf, the radial direction established respectively in the y-direction is rigid
It spends and as follows around the torsion stiffness model of y-axis:
N in formulaT, nERespectively taper-face contact face and end face contact surface interstitial content；Respectively conical surface faying face
Node normal stiffness and shear stiffness；Respectively end face faying face normal stiffness and shear stiffness；θ is contact surface section
Point position angle；Respectively conical surface faying face and end face faying face node between x-axis at a distance from.
Step (5) discloses the influence of revolving speed and broach force to engaging portion rigidity；
Engaging portion is reversed to become with radial rigidity value, influence of the announcement revolving speed to engaging portion rigidity under the conditions of calculating different rotating speeds
Gesture；Different broach forces under 25000r/min high speed conditions, different disc spring rigidity and different disc spring pretightning forces are calculated to engaging portion
The influence of torsion and radial rigidity, and make tendency chart.
Claims (1)
1. a kind of engaging portion stiffness analysis method for sided locking knife handle-main shaft under high speed conditions, this method is used
In conjunction with the method for three-dimensional fractal microscopic contact rigidity modeling theory and Finite Element Static Analysis, to the double-sided lock under high speed conditions
Tight knife handle-axis system engaging portion torsion is modeled with radial rigidity, and is analyzed, to disclose different rotating speeds, broach force, dish
The effect tendency of spring rigidity and disc spring pretightning force technological parameter to engaging portion rigidity；
It is characterized by:
S1, consider that elastic-plastic deformation and domain expand the influence of the factor simultaneously, it is theoretical to have obtained accurate three-dimensional fractal, and being based on should
Theory establishes contact normal direction and shear stiffness model；
S2,3-D geometric model is established to sided locking knife handle-axis system, and adds osculating element, carry out finite element static(al)
Each node pressure values in double combination face are extracted in analysis, pass through the faying face of regional area where obtaining each node multiplied by grid area
Pressure value；
S3, it is based on three-dimensional fractal microscopic contact rigidity modeling theory, using node regional area faying face pressure value as in terms of inputting
Calculate the corresponding faying face contact normal direction of each node and shear stiffness value；
S4, the transformation model that each node corresponds to normal stiffness, shear stiffness and double combination face torsion stiffness, radial rigidity is established,
Calculate engaging portion torsion and radial rigidity value；
S5, by seeking under different rotating speeds and high speed conditions different broach forces, disc spring pretightning force, the corresponding combination of disc spring rigidity
Portion's rigidity value discloses revolving speed, broach force, disc spring rigidity and disc spring pretightning force to the effect tendency of engaging portion rigidity；
Step (1) establishes three-dimensional normal direction and shear stiffness model；
Based on M-B fractal theory, in conjunction with Hertz theory, while considering that elastic-plastic deformation and domain expand factor ψ, by not
Single micro-bulge normal load with deformed region carries out integral proof resilience normal load, elastoplasticity normal load and total can be obtained
Plasticity normal load difference is as follows:
Wherein HG1,HG2It is coefficient relevant to material properties and faying face fractal parameter,
H is
The hardness of softer material, H=2.8Y, Y are yield strength value；K is parameter relevant to Poisson's ratio, k=0.454+0.41 ν；Then
The total normal load of faying face is expressed as F=Fe+Fep+Fp；
In normal stiffness modeling, it is respectively as follows: in flexible deformation and elastic-plastic deformation region normal contact stiffness
In shear stiffness modeling, it is respectively as follows: in flexible deformation and the tangential contact stiffness in elastic-plastic deformation region
G' is engaging portion equivalent shear modulus, 1/G'=(2- ν in formula1)/G1+(2-ν2)/G2；H1,H2Pass through formulaIt obtains；
To sum up, faying face normal direction and tangential total contact stiffness are respectively as follows: Kn=Kne+Knep, Kt=Kte+Ktep；Step (2) finite element
Static analysis；
3-D geometric model is established to sided locking knife handle-axis system, is contacted by using TARGE object element with CONTAC
Unit establishes double combination face contact pair, using mapping mode to two-sided knife handle grid division, carries out axial restraint constraint to main shaft,
Apply broach force in knife handle small end, integrally applies revolving speed constraint to system, carry out static analysis；It is extracted respectively in analysis result
Node pressure values on conical surface faying face and end face faying face, and calculate in regional area faying face where grid where each node
Pressure value；
Step (3) calculates the corresponding equivalent normal direction of each node and shear stiffness on double combination face；
Partial pressure value where the conical surface and end face faying face node is substituted into faying face fractal method to shear stiffness model, is counted
Calculate equivalent normal direction and shear stiffness value corresponding to each node on double combination face；
Step (4) calculations incorporated portion radial direction and torsion stiffness；
Since taper faying face and end face faying face are rotationally symmetrical surf, establish respectively radial rigidity in the y-direction and
Torsion stiffness model around y-axis is as follows:
N in formulaT, nERespectively taper-face contact face and end face contact surface interstitial content；Respectively conical surface faying face nodal method
To rigidity and shear stiffness；Respectively end face faying face normal stiffness and shear stiffness；θ is contact surface node location
Angle；Respectively conical surface faying face and end face faying face node between x-axis at a distance from；
Step (5) discloses the influence of revolving speed and broach force to engaging portion rigidity；
Engaging portion is reversed and radial rigidity value, effect tendency of the announcement revolving speed to engaging portion rigidity under the conditions of calculating different rotating speeds.
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| CN108760275B (en) * | 2018-06-29 | 2024-04-05 | 上海第二工业大学 | Device and method for analyzing static rigidity of combination part of cutter, cutter handle and main shaft system |
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| CN102592017A (en) * | 2011-12-31 | 2012-07-18 | 北京工业大学 | Two-sided locking knife handle/main shaft coupling performance simulating and optimizing method |
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