CN106271376A - A kind of rolling tool and the method carrying out the progressive rolling forming in metal blank surface thereof - Google Patents

Abstract

The invention discloses a kind of rolling tool, including rolling depression cutter handle of a knife, be disposed with groups of springs and rolling cutter head, be provided with the feather key in relative rotation preventing from rolling cutter head with rolling handle of a knife in rolling depression cutter handle of a knife in rolling depression cutter handle of a knife, flange is connected with rolling depression cutter handle of a knife.This rolling tool rolling efficiency is high.The method of the progressive rolling forming in a kind of metal blank surface, comprises the following steps: step 1, analyze part to be formed, it is thus achieved that this parts locally maximum deflection to be formed becomes Properties: Density；Step 2, radius, the centre distance of two balls and test plate (panel) according to rolling tool ball, carry out test plate (panel) test, make rolling tool and rolling power can meet forming limit requirement；Step 3, determine part to be formed roll parameter, part to be formed rolling parameter include machine spindle speed n and feed speed v along x, y direction_x、v_y, roll parameter according to part to be formed, carry out the progressive rolling forming in metal blank surface.After using the method to shape, Part Surface Roughness is little.

Description

A kind of rolling tool and the method carrying out the progressive rolling forming in metal blank surface thereof

Technical field

The invention belongs to machine-building metal blank surface shaping technique field, relate to a kind of rolling tool, further relate to adopt The method carrying out the progressive rolling forming in metal blank surface with this rolling tool.

Background technology

Sheet metal forming has a wide range of applications in manufacturing industry, and traditional metal blank processing technique all be unable to do without mould Tool, the processing technique cycle using mould is long, and lacks flexibility, is accomplished by the most more mold exchange when product variations, and this is just Extend the construction cycle of new product.And the update of modern society's product is very fast, the most quickly, low cost and high-quality Develop new product to amount, be the key of Business survival and development.

Therefore some flexible freeform fabrications arise at the historic moment, such as: contour peening, digitizing inspection, without mould multiple spot Shaping, laser forming technology etc., these technology are all under the support of digital control system, it is achieved the mouldless shaping of plate, have very Big flexibility.They overcome the deficiency of die forming, save Making mold expense and time, are particularly suitable for opening of new product Send out and small lot batch manufacture.

Surface rolling is to apply certain while piece surface rolls to surface with hard and ganoid rolling element The technique of pressure.The effect of three aspects can be reached by rolling: reduce surface roughness, improve case hardness, and at table Layer produces compressive stress layer.

Surface rolling reinforcement technique (hereinafter referred to as rolling) is strong from the surface that nineteen twenty-nine is used for locomotive axle in Germany first After change, extensively should the most obtain in fields such as Aero-Space, motor locomotive, precision optical machinery, national defense industry, biomedicines With.Rolling technology, rolling object and rolling tool are the most diversified, it is intended to improve working (machining) efficiency and obtain more preferable surface matter Amount.

Owing to panel surface rolling technology can form compressive stress layer on plate top layer, plate is made to produce flexural deformation, control System rolling parameter just can control the shape after sheet metal deformation, so just can realize the soft of wall plate parts by rolling technology Property shape.

The progressive rolling forming in metal blank surface is the shaping of a kind of great application prospect that wallboard class flexible part shapes Method.At present reach surface peening purpose patent by rolling technology in panel surface formation compressive stress and document is numerous, but The most few for shape.

Summary of the invention

It is an object of the invention to provide a kind of rolling tool, this rolling tool rolling efficiency is high.

The method that it is a further object to provide the progressive rolling forming in a kind of metal blank surface, uses the method After shaping, Part Surface Roughness is little.

The technical solution adopted in the present invention is, a kind of rolling tool, including rolling depression cutter handle of a knife, in rolling depression cutter handle of a knife successively It is provided with groups of springs and rolling cutter head, is provided with in rolling depression cutter handle of a knife to prevent from rolling between cutter head and rolling handle of a knife and leads in relative rotation Xiang Jian, one end of rolling cutter head through flange and is stretched out outside rolling depression cutter handle of a knife, and flange is connected with rolling depression cutter handle of a knife.

The feature of the present invention also resides in,

Handle of a knife is the Step Shaft being made up of big axle head and little axle head, and little axle head is connected with lathe handle of a knife, in big axle head Being provided with blind hole, groups of springs and rolling cutter head to be respectively positioned in blind hole, big axle head medial surface is provided with two symmetrical rectangles Through hole, feather key is positioned at rectangular through-hole, and feather key is provided with screw b.

Being connected by screw a between flange with rolling depression cutter handle of a knife, screw a sequentially passes through spring washer, flange and rolling depression cutter Handle of a knife.

Groups of springs is made up of the butterfly spring of one group of positive desuperposition.

Rolling cutter head includes knife bar, and one end of knife bar is stretched out outside rolling depression cutter handle of a knife and is installed with mandrel, and the two ends of mandrel all depend on Secondary connection has plain washer, bearing and shaft block ring, each bearing is all cased with ball, ball is installed porose back-up ring.

Another technical scheme of the present invention is, the method for the progressive rolling forming in a kind of metal blank surface, adopts With a kind of rolling tool, comprise the following steps:

Step 1, analyze part to be formed, it is thus achieved that this parts locally maximum deflection to be formed becomes Properties: Density；

Step 2, radius, the centre distance of two balls and test plate (panel) according to rolling tool ball, carry out test plate (panel) test, make Rolling tool and rolling power can meet forming limit requirement；

Step 3, determine part to be formed roll parameter, part to be formed rolling parameter include machine spindle speed n and edge Feed speed v in x, y direction_x、v_y, roll parameter according to part to be formed, carry out the progressive rolling forming in metal blank surface.

The feature of the present invention also resides in,

Step 1 obtains parts locally maximum deflection to be formed become Properties: Density particularly as follows:

By part uniform segmentation, part feature position, as the feature locations of part, is extracted respectively in the center of each subregion The local thickness t put_local, maximum curvatureMinimum curvatureAnd minimum curvature direction, according to formula (1) and formula (2) Calculate the Maximum bending moment of each feature locations respectivelyWith minimum moment

$M_{max}^{local}=D({\mathrm{\ρ}}_{max}^{local}+{\mathrm{v\ρ}}_{\min }^{local}),---\left(1\right)$

$M_{\min }^{local}=D({\mathrm{\ρ}}_{\min }^{local}+{\mathrm{v\ρ}}_{max}^{local}),---\left(2\right)$

In formula (1) and formula (2), ν is the Poisson's ratio of material of test piece, and D is calculated by formula (3),

$D=\frac{{\mathrm{Et}}_{local}^3}{12(1-v^2)}---\left(3\right)$

In formula (3), ν is the Poisson's ratio of material of test piece, and E is the elastic modelling quantity of material of test piece, t_localFor part feature position The local thickness put,

The bending calculating feature locations according to formula (4) becomes Properties: Density

$W_{\max }^{local}=\frac{1}{2}(M_{\max }^{local}{\mathrm{\ρ}}_{\max }^{local}+M_{\min }^{local}{\mathrm{\ρ}}_{\min }^{local})---\left(4\right)$

Calculate local maxima bending according to formula (5) and become Properties: Density W_max,

$W_{\max }=max\left\{W_{\max }^{local}\right).---\left(5\right)$

Step 2 test plate (panel) test particularly as follows:

Step 2.1, determine test plate (panel)；

Test plate (panel) is rectangular flat plate, a length of L, a width of B, and thickness is t；Test plate (panel) plane is parallel with xoy, material of test piece and institute The material wanting formation of parts is identical；Test plate (panel) width B should be greater than centre-to-centre spacing d of two balls；

Step 2.2, test；

By scale rolling power F and drafts Δ z on rolling tool；

Set relatively low machine spindle speed n and feed speed v along x, y direction_x、v_y, adjust the drafts of rolling tool Δ z, makes rolling power F reach the 75-85% of rolling tool specified rolling power；Lathe drives rolling tool to roll examination along its length Plate one time；Again the new test plate (panel) of clamping, keeps rolling power constant, incrementally increases speed of mainshaft n and feed speed v_xAnd v_y, rolling is new Test plate (panel)；At least complete three test plate (panel) tests；

Step 2.3, measurement；

Camber value h in the range of span l of each rolling test plate (panel) centre position is measured by camber instrument；By being measured microscopically rolling Impression stitch width w；

Step 2.4, result；

According to formula (6), (7) and (8) calculate respectively test plate (panel) deformation after curvature be ρ, test plate (panel) deformation palintrope song moment M and Deformation energy density W is bent after test plate (panel) deformation；

$\mathrm{\ρ}=\frac{8h}{4h^2+l^2}---\left(6\right)$

In formula (6), h is to measure the camber value in the range of span l of each rolling test plate (panel) centre position by camber instrument, and l is Rolling test plate (panel) centre position span；

$M=\frac{{\mathrm{Et}}^3\mathrm{\ρ}}{12(1-v)}---\left(7\right)$

In formula (7), E is the elastic modelling quantity of material of test piece, and ν is the Poisson's ratio of material of test piece, and t is test plate (panel) thickness, and ρ is examination Curvature after plate deformation；

W=M ρ (8)

In formula (8), M is that test plate (panel) deforms palintrope curvature square, and ρ is the curvature after test plate (panel) deformation；

According to spindle revolutions p in formula (9) unit of account feeding length,

$p=n/\sqrt{v_x^2+v_y^2}---\left(9\right)$

In formula (9), n is the rotating speed of lathe, v_xAnd v_yIt is respectively machine tool feed speed,

Rolling depression cutter has two balls as rolling element, then number of times i.e. track density P that in unit feeding length, ball rolls across Be calculated as formula (10),

P=4p (10)

In formula (10), p is the spindle revolutions in unit feeding length,

Coverage rate C of rolling impression is obtained by formula (11) approximate calculation,

C=wP (11)

In formula (11), P is the number of times i.e. track density that ball (10) rolls across in unit feeding length, and w is rolling vestige Width,

Coverage rate C bending deformation energy density W and correspondence after being deformed by calculated test plate (panel) passes through formula (12) matching, Obtain parameter k₁Or k₂, i.e. obtained rolling tool in the rotating speed n of lathe and feed speed v_xAnd v_yUnder the conditions of and sheet metal deformation between Primary relationship；

$C=\frac{k_{2}W}{k_1+W}---\left(12\right)$

Taking coverage rate C is 0.8, bends deformation energy density W, it is judged that whether W can be more than office after calculating corresponding test plate (panel) deformation Portion's maximum flexibility energy density W_max, if it is, selected rolling tool and rolling power can meet forming limit requirement, otherwise Use the rolling tool that ball size is less or specified rolling power is bigger, repeat step 2.2-step 2.4.

Step 3 is particularly as follows: the Maximum bending moment of each feature locations that calculates according to step 1With minimum momentBring in step 2 formula (12), again calculate rolling coverage rate C of each feature locations, further according to formula (13) inverse Meet machine spindle speed n and feed speed v of condition_xAnd v_y,

$C=wP=4wn/\sqrt{v_x^2+v_y^2}---\left(13\right)$

Make each feature locations and theoretical rolling parameter one_to_one corresponding；Along minimum curvature direction, each feature locations is grouped, Using feeding distance as independent variable in group, by rolling parameter as dependent variable, utilize polynomial repressentation relation between the two, then profit Obtain the coefficient value in polynomial relation with least-square fitting approach, thus obtain and roll parameter continuously along direction of feed, Then the parameter of rolling continuously along direction of feed is utilized to carry out the progressive rolling forming in metal blank surface.

The invention has the beneficial effects as follows:

A kind of rolling tool, the cushioning effect rolling pressure stability of groups of springs, the band that the gyration of two balls is formed It is higher that formula rolling track makes to roll efficiency；Ball and panel surface are rolling friction, and frictional force is little, panel surface matter after rolling Measure.

A kind of method of the progressive rolling forming in metal blank surface, compared with contour peening and thermal stress forming, its advantage It is:

(1) former is required low.Machine tool or Digit Control Machine Tool are installed forming tool just can realize typically Surface rolling technique, it is not necessary to as compressed air shotblasting machine, the former of this kind of specialty of laser instrument.

(2) after shaping, workpiece surface quality is good.Workpiece is decreased obviously through surface rolling rear surface roughness, contour peening meeting Leave obvious crater on the surface of the workpiece.

(3) forming parameter relatively easily controls.Forming tool size, shape track and contact pressure by frame for movement and Digital control system is all easier to control, and the residual stress field regularity of distribution of generation is the most stable.

Accompanying drawing explanation

Fig. 1 is the structural representation of a kind of rolling tool of the present invention.

In figure, 1. rolling depression cutter handle of a knife, 2. groups of springs, 3. knife bar, 4. flange, 5. hole back-up ring, 6. mandrel, 7. axle gear Circle, 8. bearing, 9. plain washer, 10. ball, 11. screw a, 12. spring washers, 13. screw b, 14. feather keys.

Detailed description of the invention

The present invention is described in detail with detailed description of the invention below in conjunction with the accompanying drawings.

The invention provides a kind of rolling tool, as it is shown in figure 1, include rolling depression cutter handle of a knife 1, in rolling depression cutter handle of a knife 1 successively It is provided with groups of springs 2 and rolling cutter head, is provided with in rolling depression cutter handle of a knife 1 and prevents from rolling cutter head and rolling relatively rotating of handle of a knife 1 Feather key 14, one end of rolling cutter head is through flange 4 and stretch out outside rolling depression cutter handle of a knife 1, and flange 4 is connected with rolling depression cutter handle of a knife 1；

The Step Shaft that handle of a knife 1 is made up of big axle head and little axle head, little axle head is connected with lathe handle of a knife, sets in big axle head Being equipped with blind hole, groups of springs 2 and rolling cutter head to be respectively positioned in blind hole, big axle head medial surface is provided with two symmetrical rectangles and leads to Hole, feather key 14 is positioned at rectangular through-hole, feather key 14 is provided with screw b13；

Being connected by screw a11 between flange 4 with rolling depression cutter handle of a knife 1, screw a11 sequentially passes through spring washer 12, flange 4 With rolling depression cutter handle of a knife 1；

Groups of springs 2 is made up of the butterfly spring of one group of positive desuperposition；

Rolling cutter head includes that knife bar 3, one end of knife bar 3 stretch out outside rolling depression cutter handle of a knife 1 and be installed with mandrel 6, the two ends of mandrel 6 All it is connected with plain washer 9, bearing 8 and shaft block ring 7 in turn, each bearing 8 is all cased with ball 10, ball 10 is installed porose With back-up ring 5.

The method of the progressive rolling forming in a kind of metal blank surface, uses a kind of rolling tool, comprises the following steps:

Step 1, analyze part to be formed, it is thus achieved that this parts locally maximum deflection to be formed becomes Properties: Density；

Step 1 obtains parts locally maximum deflection to be formed become Properties: Density particularly as follows:

By part uniform segmentation, part feature position, as the feature locations of part, is extracted respectively in the center of each subregion The local thickness t put_local, maximum curvatureMinimum curvatureAnd minimum curvature direction, according to formula (1) and formula (2) Calculate the Maximum bending moment of each feature locations respectivelyWith minimum moment

$M_{max}^{local}=D({\mathrm{\ρ}}_{max}^{local}+{\mathrm{v\ρ}}_{\min }^{local}),---\left(1\right)$

$M_{\min }^{local}=D({\mathrm{\ρ}}_{\min }^{local}+{\mathrm{v\ρ}}_{max}^{local}),---\left(2\right)$

In formula (1) and formula (2), ν is the Poisson's ratio of material of test piece, and D is calculated by formula (3),

$D=\frac{{\mathrm{Et}}_{local}^3}{12(1-v^2)}---\left(3\right)$

In formula (3), ν is the Poisson's ratio of material of test piece, and E is the elastic modelling quantity of material of test piece, t_localFor part feature position The local thickness put,

The bending calculating feature locations according to formula (4) becomes Properties: Density

$W_{\max }^{local}=\frac{1}{2}(M_{\max }^{local}+M_{\min }^{local}{\mathrm{\ρ}}_{\min }^{local})---\left(4\right)$

Calculate local maxima bending according to formula (5) and become Properties: Density W_max,

$W_{\max }=max\left\{W_{\max }^{local}\right\}---\left(5\right)$

Step 2, radius, the centre distance of two balls 10 and test plate (panel) according to rolling tool ball 10, carry out test plate (panel) examination Test, make rolling tool and rolling power can meet forming limit requirement；

Step 2 test plate (panel) test particularly as follows:

Step 2.1, determine test plate (panel)；

Test plate (panel) is rectangular flat plate, a length of L, a width of B, and thickness is t；Test plate (panel) plane is parallel with xoy, material of test piece and institute The material wanting formation of parts is identical；Test plate (panel) width B should be greater than centre-to-centre spacing d of two balls 10；

Step 2.2, test；

By scale rolling power F and drafts Δ z on rolling tool；

Set relatively low machine spindle speed n and feed speed v along x, y direction_x、v_y, adjust the drafts of rolling tool Δ z, makes rolling power F reach the 75-85% of rolling tool specified rolling power；Lathe drives rolling tool to roll examination along its length Plate one time；Again the new test plate (panel) of clamping, keeps rolling power constant, incrementally increases speed of mainshaft n and feed speed v_xAnd v_y, rolling is new Test plate (panel)；At least complete three test plate (panel) tests；

Step 2.3, measurement；

Camber value h in the range of span l of each rolling test plate (panel) centre position is measured by camber instrument；By being measured microscopically rolling Impression stitch width w；

Step 2.4, result；

According to formula (6), (7) and (8) calculate respectively test plate (panel) deformation after curvature be ρ, test plate (panel) deformation palintrope song moment M and Deformation energy density W is bent after test plate (panel) deformation；

$\mathrm{\ρ}=\frac{8h}{4h^2+l^2}---\left(6\right)$

In formula (6), h is to measure the camber value in the range of span l of each rolling test plate (panel) centre position by camber instrument, and l is Rolling test plate (panel) centre position span；

$M=\frac{{\mathrm{Et}}^3\mathrm{\ρ}}{12(1-v)}---\left(7\right)$

In formula (7), E is the elastic modelling quantity of material of test piece, and ν is the Poisson's ratio of material of test piece, and t is test plate (panel) thickness, and ρ is examination Curvature after plate deformation；

W=M ρ (8)

In formula (8), M is that test plate (panel) deforms palintrope curvature square, and ρ is the curvature after test plate (panel) deformation；

According to spindle revolutions p in formula (9) unit of account feeding length,

$p=n/\sqrt{v_x^2+v_y^2}---\left(9\right)$

In formula (9), n is the rotating speed of lathe, v_xAnd v_yIt is respectively machine tool feed speed,

Rolling depression cutter has two balls 10 as rolling element, then the number of times i.e. track that in unit feeding length, ball 10 rolls across is close Degree P is calculated as formula (10),

P=4p (10)

In formula (10), p is the spindle revolutions in unit feeding length,

Coverage rate C of rolling impression is obtained by formula (11) approximate calculation,

C=wP (11)

In formula (11), P is the number of times i.e. track density that ball 10 rolls across in unit feeding length, and w is rolling vestige width Degree,

Coverage rate C bending deformation energy density W and correspondence after being deformed by calculated test plate (panel) passes through formula (12) matching, Obtain parameter k₁Or k₂, i.e. obtained rolling tool in the rotating speed n of lathe and feed speed v_xAnd v_yUnder the conditions of and sheet metal deformation between Primary relationship；

$C=\frac{k_{2}W}{k_1+W}---\left(12\right)$

Taking coverage rate C is 0.8, bends deformation energy density W, it is judged that whether W can be more than office after calculating corresponding test plate (panel) deformation Portion's maximum flexibility energy density W_max, if it is, selected rolling tool and rolling power can meet forming limit requirement, otherwise Use the rolling tool that ball 10 size is less or specified rolling power is bigger, repeat step 2.2-step 2.4；

Step 3, determine part to be formed roll parameter, part to be formed rolling parameter include machine spindle speed n and edge Feed speed v in x, y direction_x、v_y；

Step 3 is particularly as follows: the Maximum bending moment of each feature locations that calculates according to step 1With minimum momentBring in step 2 formula (12), again calculate rolling coverage rate C of each feature locations, further according to formula (13) inverse Meet machine spindle speed n and feed speed v of condition_xAnd v_y,

$C=wP=4wn/\sqrt{v_x^2+v_y^2}---\left(13\right)$

Make each feature locations and theoretical rolling parameter one_to_one corresponding；Along minimum curvature direction, each feature locations is grouped, Using feeding distance as independent variable in group, by rolling parameter as dependent variable, utilize polynomial repressentation relation between the two, then profit Obtain the coefficient value in polynomial relation with least-square fitting approach, thus obtain and roll parameter continuously along direction of feed, Then the parameter of rolling continuously along direction of feed is utilized to carry out the progressive rolling forming in metal blank surface.

A kind of rolling tool of the present invention, the cushioning effect rolling pressure stability of groups of springs, the gyration shape of two balls It is higher that the strip-type rolling track become makes to roll efficiency；Ball and panel surface are rolling friction, and frictional force is little, roll back plate Material surface quality is good.

The method of the progressive rolling forming in a kind of metal blank surface of the present invention, with contour peening and thermal stress forming phase Ratio, has an advantage in that:

(1) former is required low.Machine tool or Digit Control Machine Tool are installed forming tool just can realize typically Surface rolling technique, it is not necessary to as compressed air shotblasting machine, the former of this kind of specialty of laser instrument.

(2) after shaping, workpiece surface quality is good.Workpiece is decreased obviously through surface rolling rear surface roughness, contour peening meeting Leave obvious crater on the surface of the workpiece.

(3) forming parameter relatively easily controls.Forming tool size, shape track and contact pressure by frame for movement and Digital control system is all easier to control, and the residual stress field regularity of distribution of generation is the most stable.And heat during thermal stress forming Rate of cooling and the most difficult grasp of thermal conductivity law.

Claims (9)

1. a rolling tool, it is characterised in that；Including rolling depression cutter handle of a knife (1), rolling depression cutter handle of a knife is disposed with spring in (1) Group (2) and rolling cutter head, be provided with in rolling depression cutter handle of a knife (1) and prevent from rolling cutter head and rolling leading in relative rotation of handle of a knife (1) To key (14), rolling depression cutter handle of a knife (1) through flange (4) and is stretched out outward in one end of rolling cutter head, flange (4) and rolling depression cutter handle of a knife (1) connect.

A kind of rolling tool the most according to claim 1, it is characterised in that；Described handle of a knife (1) is by big axle head and little axle head The Step Shaft constituted, little axle head is connected with lathe handle of a knife, is provided with blind hole, groups of springs (2) and rolling cutter head in big axle head Being respectively positioned in blind hole, big axle head medial surface is provided with two symmetrical rectangular through-hole, and feather key (14) is positioned at rectangular through-hole In, feather key (14) is provided with screw b (13).

A kind of rolling tool the most according to claim 1, it is characterised in that；Described flange (4) and rolling depression cutter handle of a knife (1) it Between by screw a (11) connect, screw a (11) sequentially passes through spring washer (12), flange (4) and rolling depression cutter handle of a knife (1).

4. according to a kind of rolling tool described in any one of claim 1-3, it is characterised in that；Described groups of springs (2) is by one group The butterfly spring composition of positive desuperposition.

A kind of rolling tool the most according to claim 4, it is characterised in that；Described rolling cutter head includes knife bar (3), knife bar (3) one end is stretched out rolling depression cutter handle of a knife (1) and outward and is installed with mandrel (6), the two ends of mandrel (6) be all connected with in turn plain washer (9), Bearing (8) and shaft block ring (7), each bearing (8) is all cased with ball (10), and ball (10) is upper installs porose back-up ring (5).

6. a method for the progressive rolling forming in metal blank surface, uses a kind of rolling tool described in claim 5, and it is special Levy and be；Comprise the following steps:

Step 1, analyze part to be formed, it is thus achieved that this parts locally maximum deflection to be formed becomes Properties: Density；

Step 2, radius, the centre distance of two balls (10) and test plate (panel) according to rolling tool ball (10), carry out test plate (panel) examination Test, make rolling tool and rolling power can meet forming limit requirement；

Step 3, determine part to be formed roll parameter, part to be formed rolling parameter include machine spindle speed n and along x, y side To feed speed v_x、v_y, roll parameter according to part to be formed, carry out the progressive rolling forming in metal blank surface.

The method of the progressive rolling forming in a kind of metal blank surface the most according to claim 6, it is characterised in that；Described step Obtain in rapid 1 parts locally maximum deflection to be formed become Properties: Density particularly as follows:

By part uniform segmentation, part feature position, as the feature locations of part, is extracted respectively in the center of each subregion Local thickness t_local, maximum curvatureMinimum curvatureAnd minimum curvature direction, according to formula (1) and formula (2) difference Calculate the Maximum bending moment of each feature locationsWith minimum moment

$M_{max}^{local}=D({\mathrm{\ρ}}_{max}^{local}+{\mathrm{v\ρ}}_{\min }^{local}),---\left(1\right)$

$M_{\min }^{local}=D({\mathrm{\ρ}}_{\min }^{local}+{\mathrm{v\ρ}}_{\max }^{local}),---\left(2\right)$

In formula (1) and formula (2), ν is the Poisson's ratio of material of test piece, and D is calculated by formula (3),

$D=\frac{{\mathrm{Et}}_{local}^3}{12(1-v^2)}---\left(3\right)$

In formula (3), ν is the Poisson's ratio of material of test piece, and E is the elastic modelling quantity of material of test piece, t_localFor part feature position Local thickness,

The bending calculating feature locations according to formula (4) becomes Properties: Density

$W_{\max }^{local}=\frac{1}{2}(M_{\max }^{local}{\mathrm{\ρ}}_{\max }^{local}+M_{\min }^{local}{\mathrm{\ρ}}_{\min }^{local})---\left(4\right)$

Calculate local maxima bending according to formula (5) and become Properties: Density W_max,

$W_{\max }=max\left\{W_{\max }^{local}\right\}.---\left(5\right)$

The method of the progressive rolling forming in a kind of metal blank surface the most according to claim 6, it is characterised in that；Described step Rapid 2 test plate (panel)s test particularly as follows:

Step 2.1, determine test plate (panel)；

Test plate (panel) is rectangular flat plate, a length of L, a width of B, and thickness is t；Test plate (panel) plane is parallel with xoy, material of test piece with to become The material of shape part is identical；Test plate (panel) width B should be greater than centre-to-centre spacing d of two balls (10)；

Step 2.2, test；

By scale rolling power F and drafts Δ z on rolling tool；

Set relatively low machine spindle speed n and feed speed v along x, y direction_x、v_y, adjust the drafts Δ z of rolling tool, Rolling power F is made to reach the 75-85% of rolling tool specified rolling power；Lathe drives rolling tool to roll test plate (panel) one along its length Time；Again the new test plate (panel) of clamping, keeps rolling power constant, incrementally increases speed of mainshaft n and feed speed v_xAnd v_y, roll new test plate (panel)； At least complete three test plate (panel) tests；

Step 2.3, measurement；

Camber value h in the range of span l of each rolling test plate (panel) centre position is measured by camber instrument；By being measured microscopically rolling trace Stitch width w；

Step 2.4, result；

Curvature after calculating test plate (panel) deformation respectively according to formula (6), (7) and (8) is ρ, test plate (panel) deforms palintrope song moment M and test plate (panel) Deformation energy density W is bent after deformation；

$\mathrm{\ρ}=\frac{8h}{4h^2+l^2}---\left(6\right)$

In formula (6), h is to measure the camber value in the range of span l of each rolling test plate (panel) centre position by camber instrument, and l is rolling Test plate (panel) centre position span；

$M=\frac{{\mathrm{Et}}^3\mathrm{\ρ}}{12(1-v)}---\left(7\right)$

In formula (7), E is the elastic modelling quantity of material of test piece, and ν is the Poisson's ratio of material of test piece, and t is test plate (panel) thickness, and ρ is that test plate (panel) becomes Curvature after shape；

W=M ρ (8)

In formula (8), M is that test plate (panel) deforms palintrope curvature square, and ρ is the curvature after test plate (panel) deformation；

According to spindle revolutions p in formula (9) unit of account feeding length,

$p=n/\sqrt{v_x^2+v_y^2}---\left(9\right)$

In formula (9), n is the rotating speed of lathe, v_xAnd v_yIt is respectively machine tool feed speed,

Rolling depression cutter has two balls (10) as rolling element, then the number of times i.e. track that in unit feeding length, ball (10) rolls across is close Degree P is calculated as formula (10),

P=4p (10)

In formula (10), p is the spindle revolutions in unit feeding length,

Coverage rate C of rolling impression is obtained by formula (11) approximate calculation,

C=wP (11)

In formula (11), P is the number of times i.e. track density that ball (10) rolls across in unit feeding length, and w is rolling trace width,

Coverage rate C bending deformation energy density W and correspondence after being deformed by calculated test plate (panel) passes through formula (12) matching, obtains Parameter k₁Or k₂, i.e. obtained rolling tool in the rotating speed n of lathe and feed speed v_xAnd v_yUnder the conditions of and sheet metal deformation between base Plinth relation；

$C=\frac{k_{2}W}{k_1+W}---\left(12\right)$

Taking coverage rate C is 0.8, bends deformation energy density W after the test plate (panel) deformation that calculating is corresponding, it is judged that whether W can be more than Macrobending deformation energy density W_max, if it is, selected rolling tool and rolling power can meet forming limit requirement, otherwise use The rolling tool that ball (10) size is less or specified rolling power is bigger, repeats step 2.2-step 2.4.

The method of the progressive rolling forming in a kind of metal blank surface the most according to claim 8, it is characterised in that；Described step Rapid 3 particularly as follows: the Maximum bending moment of each feature locations that calculates according to step 1With minimum momentBring step into In 2 formula (12), again calculate rolling coverage rate C of each feature locations, meet the lathe of condition further according to formula (13) inverse Speed of mainshaft n and feed speed v_xAnd v_y,

$C=wP=4wn/\sqrt{v_x^2+v_y^2}---\left(13\right)$

Make each feature locations and theoretical rolling parameter one_to_one corresponding；Along minimum curvature direction, each feature locations is grouped, in group Using feeding distance as independent variable, by rolling parameter as dependent variable, utilize polynomial repressentation relation between the two, recycle A young waiter in a wineshop or an inn takes advantage of approximating method to obtain the coefficient value in polynomial relation, thus obtains and roll parameter continuously, then along direction of feed The parameter of rolling continuously along direction of feed is utilized to carry out the progressive rolling forming in metal blank surface.