CN110110400A - A kind of calculation method of large scale arc-shaped workpiece shot-peening deformation - Google Patents
A kind of calculation method of large scale arc-shaped workpiece shot-peening deformation Download PDFInfo
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- CN110110400A CN110110400A CN201910317136.8A CN201910317136A CN110110400A CN 110110400 A CN110110400 A CN 110110400A CN 201910317136 A CN201910317136 A CN 201910317136A CN 110110400 A CN110110400 A CN 110110400A
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Abstract
The invention discloses a kind of calculation methods of large scale arc-shaped workpiece shot-peening deformation, specifically includes the following steps: step S1: testing inspection；Step S2: the more bullet simulations of finite element；Step S3: the foundation in induced stress library；Step S4: the shot-peening of large size, thin walled arc-shaped workpiece, which deforms, to be calculated；It specifically refers to: by the model prediction thin-walled arc-shaped workpiece shot-peening deformation that theorizes.The present invention can efficiently, fast and accurately predict the deformation of large-scale part under different shot-peening parameters, provide reference and foundation for the formulation and optimization of shot-peening scheme before shot-blast process processing.
Description
Technical field
It is deformed the present invention relates to arc-shaped workpiece and calculates technical field, be a kind of large scale arc-shaped workpiece shot-peening deformation specifically
Calculation method.
Background technique
Large size, thin walled arc-shaped workpiece is airframe important feature part, has the spies such as size is big, wall is thin, wall thickness change is complicated
Point.According to the technological requirements, arc-shaped workpiece surface need to carry out shot peening, to improve the fatigue behaviour of arc-shaped workpiece, change arc
The surface state of part.The shot peening strengthening process for treating surface important as one kind, it is more and more important in modern Aviation manufacture,
As one of primary study content.It is found during a large amount of actual productions and test, due to the design feature and spray of arc-shaped workpiece
The influence for the residual stress that ball generates, shot-blast process are completed rear part and are easily deformed, and the profile of drawing requirement is unable to satisfy
Degree, while it being functionally unable to satisfy assembly demand, arc-shaped workpiece scrappage is up to 50%-60%, and overproof rate is right up to 80% or more
The prediction of arc-shaped workpiece shot-peening deformation is a great problem in shot peening strengthening field, and reduction scrappage has very big economic value.
Summary of the invention
The purpose of the present invention is to provide a kind of calculation methods of large scale arc-shaped workpiece shot-peening deformation, can be in shot-blast process
Before processing, efficiently, fast and accurately predict the deformation of large-scale part under different shot-peening parameters, be shot-peening scheme formulation and
Optimization provides reference and foundation.
The present invention is achieved through the following technical solutions: a kind of calculation method of large scale arc-shaped workpiece shot-peening deformation, specific to wrap
Include following steps:
Step S1: testing inspection；
Step S2: the more bullet simulations of finite element；
Step S3: the foundation in induced stress library；
Step S4: the shot-peening of large size, thin walled arc-shaped workpiece, which deforms, to be calculated；It specifically refers to: thin by the model prediction that theorizes
The deformation of wall arc-shaped workpiece shot-peening.
Further, in order to preferably realize the present invention, the step S4 specifically includes the following steps:
Step S41: according to the design feature of arc-shaped workpiece, it is reduced to that axis is camber line, cross section is T shape and relative axle
The symmetrical variable cross-section curved beam of line plane；
Step S42: establishing coordinate system, is S axis by arc-shaped workpiece axes settings；Along cross section, normal direction is set as X-axis, arc-shaped workpiece
The symmetry axis of cross section is set as Y-axis, is set as Z axis perpendicular to S axis and Y-axis and in cross section；
Step S43: equivalent axial force and moment of flexure are calculated；
N (S)=∫AσxDA, M (S)=∫AσxydA； (1)；
Wherein, y is away from neutral line distance；
A is the cross-sectional area of arc-shaped workpiece；
σxFor the equivalent axial force N and moment M to balance each other with restraining force on boundary；
Step S44: calculation of boundary conditions withdraws from rear arc part deformation differential equation are as follows:
Wherein: Jz=∫Ay2/(1-y/R)dA (3)；
E is elasticity modulus of materials；
R is the axis radius of arc-shaped workpiece；
U is the centroid of the plain bending deformation cross section of arc-shaped workpiece along the displacement of s axis；
V is the centroid of the plain bending deformation cross section of arc-shaped workpiece along the displacement of Y-axis；
As R → ∞, curved beam becomes straight beam, JZFor cross sectional moment of inertia, u and v are solved by formula (2), i.e., arc-shaped workpiece is along axis
Bending and deformation of extending；
Step S45: arc-shaped workpiece rigidity model is established using Python, and is deformed in conjunction with shot-peening induced stress
Amount.
Further, in order to preferably realize the present invention, the step S1 is specifically referred to: being detected using XRD residual stress
Equipment or electrolytic etching layer stripping detect the strip residual stress after shot-blast process parameter processing, obtain along thickness
Spend the residual stress curve in direction.
Further, in order to preferably realize the present invention, the step S2 is specifically referred to: utilizing FEM software
Abaqus carries out the finite element modelling of random more projectile impact targets, and extracts shot-peening induced stress curve；
Further, in order to preferably realize the present invention, the step S3 is specifically referred to: testing inspection residual stress combines
The shot-peening induced stress database of various shot-blast process parameters, the induced stress data are established in more bullet finite element modellings
Library provides primary stress for the calculating of large size, thin walled arc-shaped workpiece shot-peening Deformation Theory.
Further, in order to preferably realize the present invention, the shot-blast process parameter include shape outer surface shot-peening parameter,
Shape inner surface shot-peening parameter and web shot-peening parameter；The shape outer surface shot-peening parameter includes shape outer surface shot-peening pressure
Power, shape outer surface shot-peening shot-peening amount per minute, shape outer surface bullet diameter and shape outer surface shot-peening angle；It is described outer
Shape inner surface shot-peening parameter includes shape inner surface pressure, shape inner surface shot-peening shot-peening amount per minute, shape inner surface
Bullet diameter and shape inner surface shot-peening angle；The web shot-peening parameter includes web pressure, every point of web shot-peening
Clock shot-peening amount, web bullet diameter and web shot-peening angle.
Compared with prior art, the present invention have the following advantages that and the utility model has the advantages that
(1) present invention can efficiently, fast and accurately predict big ruler under different shot-peening parameters before shot-blast process processing
The deformation of very little part provides reference and foundation for the formulation and optimization of shot-peening scheme.
Detailed description of the invention
Fig. 1 is the schematic diagram of arc-shaped workpiece coordinate system in the present invention；
Fig. 2 is the side view of arc-shaped workpiece in the present invention；
Fig. 3 is the residual stress curve in the present invention under certain shot-peening parameter；
Specific embodiment
The present invention is described in further detail below with reference to embodiment, embodiments of the present invention are not limited thereto.
Embodiment 1:
The present invention is achieved through the following technical solutions, as shown in Figure 1-Figure 3, a kind of meter of large scale arc-shaped workpiece shot-peening deformation
Calculation method, specifically includes the following steps:
Step S1: testing inspection；
Step S2: the more bullet simulations of finite element；
Step S3: the foundation in induced stress library；
Step S4: the shot-peening of large size, thin walled arc-shaped workpiece, which deforms, to be calculated；It specifically refers to: thin by the model prediction that theorizes
The deformation of wall arc-shaped workpiece shot-peening.
It should be noted that, using traditional wire cutting mode, cutting the aluminium alloy examination of certain shapes by above-mentioned improvement
Piece, and smooth treatment is carried out to its surface, cut test piece；For, using traditional wire cutting mode, cutting is certain after cutting
The aluminium alloy test piece of shape, surface carry out smooth treatment, and cutting test piece sprays test piece using conventional shot-blast process parameter
Ball；Using XRD residual stress detection device and electrolytic etching layer stripping to the aluminium alloy strip residual stress after shot-peening into
Row detection, obtains the residual stress curve along thickness direction, residual stress curve is as shown in Figure 2.
The other parts of the present embodiment are same as the previously described embodiments, and so it will not be repeated.
Embodiment 2:
The present embodiment is advanced optimized on the basis of the above embodiments as shown in Figure 1, further, in order to better
Realize the present invention, the step S4 specifically includes the following steps:
Step S41: according to the design feature of arc-shaped workpiece, it is reduced to that axis is camber line, cross section is T shape and relative axle
The symmetrical variable cross-section curved beam of line plane；
Step S42: as shown in Figure 1 and Figure 2, establishing coordinate system, is S axis by arc-shaped workpiece axes settings；Along cross section, normal direction is set
It is set to X-axis, the symmetry axis of arc-shaped workpiece cross section is set as Y-axis, is set as Z axis perpendicular to S axis and Y-axis and in cross section；
Step S43: equivalent axial force and moment of flexure are calculated；
N (S)=∫AσxDA, M (S)=∫AσxydA； (1)；
Wherein, y is away from neutral line distance；
A is the cross-sectional area of arc-shaped workpiece；
σxFor the equivalent axial force N and moment M to balance each other with restraining force on boundary；
Step S44: calculation of boundary conditions withdraws from rear arc part deformation differential equation are as follows:
Wherein: Jz=∫Ay2/(1-y/R)dA (3)；
E is elasticity modulus of materials；
R is the axis radius of arc-shaped workpiece；
U is the centroid of the plain bending deformation cross section of arc-shaped workpiece along the displacement of s axis；
V is the centroid of the plain bending deformation cross section of arc-shaped workpiece along the displacement of Y-axis；
As R → ∞, curved beam becomes straight beam, JZFor cross sectional moment of inertia, u and v are solved by formula (2), i.e., arc-shaped workpiece is along axis
Bending and deformation of extending；
Step S45: arc-shaped workpiece rigidity model is established using Python, and is deformed in conjunction with shot-peening induced stress
Amount.
It should be noted that the foundation of arc-shaped workpiece rigidity model mainly passes through arc-shaped workpiece structure and joins by above-mentioned improvement
Several and arc-shaped workpiece material parameter determines, mainly passes through arc-shaped workpiece material parameter for shot-peening induced stress and stress peening process is joined
Number determines；
Arc-shaped workpiece rigidity model is established using Python combination arc-shaped workpiece structural parameters and arc-shaped workpiece material parameter, and
Shot-peening induced stress is obtained using Python combination shape part material parameter and shot-blast process parameter simultaneously, it is rigid by arc-shaped workpiece
Degree model and shot-peening induced stress calculate arc-shaped workpiece deflection in turn.
The other parts of the present embodiment are same as the previously described embodiments, and so it will not be repeated.
Embodiment 3:
The present embodiment advanced optimizes on the basis of the above embodiments, as shown in Figure 1-Figure 3, further, in order to
It preferably realizes the present invention, the step S1 is specifically referred to: utilizing XRD residual stress detection device or electrolytic etching layer stripping pair
Strip residual stress after shot-blast process parameter processing is detected, and the residual stress curve along thickness direction is obtained.
Further, in order to preferably realize the present invention, the step S2 is specifically referred to: utilizing FEM software
Abaqus carries out the finite element modelling of random more projectile impact targets, and extracts shot-peening induced stress curve；
Further, in order to preferably realize the present invention, the step S3 is specifically referred to: testing inspection residual stress combines
The shot-peening induced stress database of various shot-blast process parameters, the induced stress data are established in more bullet finite element modellings
Library provides primary stress for the calculating of large size, thin walled arc-shaped workpiece shot-peening Deformation Theory.
Further, in order to preferably realize the present invention, the shot-blast process parameter include shape outer surface shot-peening parameter,
Shape inner surface shot-peening parameter and web shot-peening parameter；The shape outer surface shot-peening parameter includes shape outer surface shot-peening pressure
Power, shape outer surface shot-peening shot-peening amount per minute, shape outer surface bullet diameter and shape outer surface shot-peening angle；It is described outer
Shape inner surface shot-peening parameter includes shape inner surface pressure, shape inner surface shot-peening shot-peening amount per minute, shape inner surface
Bullet diameter and shape inner surface shot-peening angle；The web shot-peening parameter includes web pressure, every point of web shot-peening
Clock shot-peening amount, web bullet diameter and web shot-peening angle.
The other parts of the present embodiment are same as the previously described embodiments, and so it will not be repeated.
Embodiment 4:
The present embodiment is highly preferred embodiment of the present invention: as shown in Figure 1-Figure 3, a kind of deformation of large scale arc-shaped workpiece shot-peening
Calculation method, specifically includes the following steps:
Step S1: testing inspection；The step S1 is specifically referred to: utilizing XRD residual stress detection device or electrolytic etching
Layer stripping detects the strip residual stress after shot-blast process parameter processing, obtains answering along the remnants of thickness direction
Force curve.The shot-blast process parameter includes shape outer surface shot-peening parameter, shape inner surface shot-peening parameter and web shot-peening
Parameter；The shape outer surface shot-peening parameter include shape outer surface pressure, shape outer surface shot-peening shot-peening amount per minute,
Shape outer surface bullet diameter and shape outer surface shot-peening angle；The shape inner surface shot-peening parameter includes shape inner surface
Pressure, shape inner surface shot-peening shot-peening amount per minute, shape inner surface bullet diameter and shape inner surface shot-peening angle；
The web shot-peening parameter includes web pressure, web shot-peening shot-peening amount per minute, web bullet diameter and web spray
Ball angle.
Step S2: the more bullet simulations of finite element；The step S2 is specifically referred to: using FEM software Abaqus into
The finite element modelling of the random more projectile impact targets of row, and extract shot-peening induced stress curve；
Step S3: the foundation in induced stress library；The step S3 is specifically referred to: testing inspection residual stress combines more bullets
The shot-peening induced stress database of various shot-blast process parameters is established in finite element modelling, and the induced stress database is big
Size thin-walled arc-shaped workpiece shot-peening Deformation Theory, which calculates, provides primary stress.
Step S4: the shot-peening of large size, thin walled arc-shaped workpiece, which deforms, to be calculated；It specifically refers to: thin by the model prediction that theorizes
The deformation of wall arc-shaped workpiece shot-peening.
Further, in order to preferably realize the present invention, the step S4 specifically includes the following steps:
Step S41: according to the design feature of arc-shaped workpiece, it is reduced to that axis is camber line, cross section is T shape and relative axle
The symmetrical variable cross-section curved beam of line plane；
Step S42: establishing coordinate system, is S axis by arc-shaped workpiece axes settings；Along cross section, normal direction is set as X-axis, arc-shaped workpiece
The symmetry axis of cross section is set as Y-axis, is set as Z axis perpendicular to S axis and Y-axis and in cross section；
Step S43: equivalent axial force and moment of flexure are calculated；
N (S)=∫AσxDA, M (S)=∫AσxydA； (1)；
Wherein, y is away from neutral line distance；
A is the cross-sectional area of arc-shaped workpiece；
σxFor the equivalent axial force N and moment M to balance each other with restraining force on boundary；
Step S44: calculation of boundary conditions withdraws from rear arc part deformation differential equation are as follows:
Wherein: Jz=∫Ay2/(1-y/R)dA (3)；
E is elasticity modulus of materials；
R is the axis radius of arc-shaped workpiece；
U is the centroid of the plain bending deformation cross section of arc-shaped workpiece along the displacement of s axis；
V is the centroid of the plain bending deformation cross section of arc-shaped workpiece along the displacement of Y-axis；
As R → ∞, curved beam becomes straight beam, JZFor cross sectional moment of inertia, u and v are solved by formula (2), i.e., arc-shaped workpiece is along axis
Bending and deformation of extending；
Step S45: arc-shaped workpiece rigidity model is established using Python, and is deformed in conjunction with shot-peening induced stress
Amount.
The above is only presently preferred embodiments of the present invention, not does limitation in any form to the present invention, it is all according to
According to technical spirit any simple modification to the above embodiments of the invention, equivalent variations, protection of the invention is each fallen within
Within the scope of.
Claims (6)
1. a kind of calculation method of large scale arc-shaped workpiece shot-peening deformation, it is characterised in that: specifically includes the following steps:
Step S1: testing inspection；
Step S2: the more bullet simulations of finite element；
Step S3: the foundation in induced stress library；
Step S4: the shot-peening of large size, thin walled arc-shaped workpiece, which deforms, to be calculated；It specifically refers to: by the model prediction thin-walled arc that theorizes
The deformation of shape part shot-peening.
2. a kind of calculation method of large scale arc-shaped workpiece shot-peening deformation according to claim 1, it is characterised in that: the step
Rapid S4 specifically includes the following steps:
Step S41: according to the design feature of arc-shaped workpiece, it is reduced to that axis is camber line, cross section is T shape and relative axis is put down
The symmetrical variable cross-section curved beam in face；
Step S42: establishing coordinate system, is S axis by arc-shaped workpiece axes settings；Along cross section, it is transversal to be set as X-axis, arc-shaped workpiece for normal direction
The symmetry axis in face is set as Y-axis, is set as Z axis perpendicular to S axis and Y-axis and in cross section；
Step S43: equivalent axial force and moment of flexure are calculated；
N (S)=∫AσxDA, M (S)=∫AσxydA； (1)；
Wherein, y is away from neutral line distance；
A is the cross-sectional area of arc-shaped workpiece；
σxFor the equivalent axial force N and moment M to balance each other with restraining force on boundary；
Step S44: calculation of boundary conditions withdraws from rear arc part deformation differential equation are as follows:
Wherein: Jz=∫Ay2/(1-y/R)dA (3)；
E is elasticity modulus of materials；
R is the axis radius of arc-shaped workpiece；
U is the centroid of the plain bending deformation cross section of arc-shaped workpiece along the displacement of s axis；
V is the centroid of the plain bending deformation cross section of arc-shaped workpiece along the displacement of Y-axis；
As R → ∞, curved beam becomes straight beam, JZFor cross sectional moment of inertia, u and v are solved by formula (2), i.e., arc-shaped workpiece along axis bending and
Extend and deforms；
Step S45: arc-shaped workpiece rigidity model is established using Python, and obtains deflection in conjunction with shot-peening induced stress.
3. a kind of calculation method of large scale arc-shaped workpiece shot-peening deformation according to claim 2, it is characterised in that: the step
Rapid S1 is specifically referred to: using XRD residual stress detection device or electrolytic etching layer stripping to the examination after shot-blast process parameter processing
Piece surface residual stress is detected, and the residual stress curve along thickness direction is obtained.
4. a kind of calculation method of large scale arc-shaped workpiece shot-peening deformation according to claim 3, it is characterised in that: the step
Rapid S2 is specifically referred to: being carried out the finite element modelling of random more projectile impact targets using FEM software Abaqus, and is mentioned
Take shot-peening induced stress curve.
5. a kind of calculation method of large scale arc-shaped workpiece shot-peening deformation according to claim 4, it is characterised in that: the step
Rapid S3 is specifically referred to: testing inspection residual stress combines more bullet finite element modellings, establishes the shot-peening of various shot-blast process parameters
Induced stress database, the induced stress database provide initial for the calculating of large size, thin walled arc-shaped workpiece shot-peening Deformation Theory
Stress.
6. a kind of calculation method of large scale arc-shaped workpiece shot-peening deformation according to claim 5, it is characterised in that: the spray
Ball technological parameter includes shape outer surface shot-peening parameter, shape inner surface shot-peening parameter and web shot-peening parameter；The shape
Outer surface shot-peening parameter includes shape outer surface pressure, shape outer surface shot-peening shot-peening amount per minute, shape outer surface bullet
Ball diameter and shape outer surface shot-peening angle；The shape inner surface shot-peening parameter includes shape inner surface pressure, outer
Shape inner surface shot-peening shot-peening amount per minute, shape inner surface bullet diameter and shape inner surface shot-peening angle；The web spray
Ball parameter includes web pressure, web shot-peening shot-peening amount per minute, web bullet diameter and web shot-peening angle.
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Cited By (2)
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| CN110666701A (en) * | 2019-09-20 | 2020-01-10 | 西安飞机工业（集团）有限责任公司 | Shot blasting forming method for small-area sharply bent biconvex ribbed wallboard |
| CN113742979A (en) * | 2021-09-16 | 2021-12-03 | 山东大学深圳研究院 | Positioning point optimal arrangement method for clamping thin-wall arc-shaped piece |
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| CN110666701A (en) * | 2019-09-20 | 2020-01-10 | 西安飞机工业（集团）有限责任公司 | Shot blasting forming method for small-area sharply bent biconvex ribbed wallboard |
| CN113742979A (en) * | 2021-09-16 | 2021-12-03 | 山东大学深圳研究院 | Positioning point optimal arrangement method for clamping thin-wall arc-shaped piece |
| CN113742979B (en) * | 2021-09-16 | 2023-08-04 | 山东大学深圳研究院 | Positioning point optimal arrangement method for clamping thin-wall arc-shaped piece |
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| CN110110400B (en) | 2022-05-10 |
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