CN109214083A - Circular test down space envelope profiled envelope mould method for accurately designing - Google Patents

Circular test down space envelope profiled envelope mould method for accurately designing Download PDF

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CN109214083A
CN109214083A CN201811020615.5A CN201811020615A CN109214083A CN 109214083 A CN109214083 A CN 109214083A CN 201811020615 A CN201811020615 A CN 201811020615A CN 109214083 A CN109214083 A CN 109214083A
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envelope
point
circular test
mould
profiled
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CN109214083B (en
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韩星会
华林
杨思伟
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Wuhan University of Technology WUT
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    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F30/00Computer-aided design [CAD]
    • G06F30/20Design optimisation, verification or simulation

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Abstract

The present invention relates to a kind of Circular test down space envelope profiled envelope mould method for accurately designing, comprising the following steps: S1, determines Circular test down space envelope profiled envelope mould careful design principle;S2, determine that Circular test down space envelope shapes center;S3, rectangular coordinate system is established;S4, according to the rectangular coordinate system established in S3, determine the point coordinate of member upper surface to be formed;S5, Circular test down space envelope profiled envelope mould initial position is determined;S6, Circular test down space envelope profiled envelope mould careful design process is determined;S7, Circular test down space envelope profiled envelope mould any point coordinate is calculated, and then realizes Circular test down space envelope profiled envelope mould careful design.Design method of the present invention is simple, efficient, has very strong practicability, and versatility can conveniently and efficiently design corresponding envelope mould according to known members.

Description

Circular test down space envelope profiled envelope mould method for accurately designing
Technical field
The present invention relates to incremental plastic forming technique field, more specifically to a kind of Circular test down space envelope at Shape envelope mould method for accurately designing.
Background technique
Space envelope forming refers to during envelope mould and member relative motion, moves rail by the complex space of envelope mould Mark envelope at Components Shape plastic molding method.Space envelope forming technique belongs to successive partial plastic forming new technology, leads to The envelope movement direct forming for crossing envelope mould obtains the complex characteristic of component, and forming force is small, and stock utilization is high, forming accuracy It is good, preferable metal streamline can be obtained, guarantees performance, to meet the requirement of high-performance, high efficiency processing and manufacturing.
In space envelope forming process, envelope mould does rotary motion around axis, and component to be formed is non-revolved body, and Envelope mould and the contact position moment of component to be formed are changing, this results in the design of envelope mould to become very difficult.
Meanwhile during space envelope figuration manufacture, the complex surface of each component require one it is corresponding Envelope mould, this also proposes huge requirement to the design efficiency of envelope upper mold.Therefore, it is accurate to need a kind of general envelope mould Design method solves these problems.Currently, there are no the reports about envelope mould method for accurately designing both at home and abroad.
Summary of the invention
The technical problem to be solved in the present invention is that providing a kind of Circular test down space envelope profiled envelope mould careful design Method can go out envelope mould corresponding in space envelope according to component surface shape careful design.
The technical solution adopted by the present invention to solve the technical problems is: constructing a kind of Circular test down space envelope forming packet Network mould method for accurately designing, comprising the following steps:
S1, Circular test down space envelope profiled envelope mould careful design principle is determined:
Space envelope profiled envelope mould is the cone that inclination angle is β, and the conical surface is used to envelope formed parts upper surface, envelope Mould returns to initial position in member upper surface engagement rotation after a week;
S2, determine that Circular test down space envelope shapes center;
S3, rectangular coordinate system is established;Using determining space envelope forming center O point as coordinate origin, to pass through coordinate original The vertical axis of point is that z-axis establishes rectangular coordinate system O-xyz;
S4, according to the rectangular coordinate system established in S3, determine the point coordinate of member upper surface to be formed;
S5, Circular test down space envelope profiled envelope mould initial position is determined;
S6, Circular test down space envelope profiled envelope mould careful design process is determined, specifically:
Chosen any point A (x, y, z) in member upper surface, cross O point and make the vertical line of AOz plane, by A point around the vertical line to A ' (x ', y ', the z ') point at the upper angle rotation γ, acquisition is any point on the corresponding envelope mould of the component.A point is to A ' mistakes Journey is considered as A point and first rotates counterclockwise the angle α to the A " (x " in xOz plane, y ", z " around z-axis) point, then A " is put inverse around y-axis Hour hands rotate the angle γ to A " ' (x " ', y " ', z " ') point, last A " ' rotates clockwise the angle α around z-axis, and obtained point is at this time For A ' point;
S7, Circular test down space envelope profiled envelope mould any point coordinate is calculated, and then realizes Circular test down space packet Network profiled envelope mould careful design.
In above scheme, in the step S2, member upper surface any point O point be can be used as in space envelope forming The heart, when the point other than member upper surface shapes center as space envelope, which need to be located at where member upper surface minimum point Horizontal plane on.
In above scheme, in the step S5, space envelope profiled envelope mold shaft line is overlapped with z-axis, envelope mold shaft line It is located at O point with the intersection point of envelope mould cone surface and is remained stationary in space envelope forming process.
In above scheme, according to geometry in S6 and movement relation, the coordinate conversion relation put by A point to A " are as follows:
(x ", y ", z ")=(x, y, z) Rz1 (1)
Wherein, Rz1For around the transformation matrix at z-axis rotation alpha angle counterclockwise:
By A " putting to A " ' coordinate conversion relation are as follows:
(x " ', y " ', z " ')=(x ", y ", z ") Ry (4)
Wherein, RyFor the transformation matrix for rotating the angle γ counterclockwise around y-axis:
By A " ' to A ' coordinate conversion relations are as follows:
(x ', y ', z ')=(x " ', y " ', z " ') Rz2 (7)
Wherein, Rz2For the transformation matrix for rotating clockwise the angle α around z-axis:
It is obtained putting the coordinate conversion relation for arriving A ' (x ', y ', z ') by A (x, y, z) by above-mentioned equation are as follows:
(x ', y ', z ')=(x, y, z) Rz1RyRz2 (9)
It can be accurately calculated according to the point coordinate of the member upper surface to be formed determined in S4 and equation (9) empty under Circular test Between envelope profiled envelope mould any point coordinate, and then realize Circular test down space envelope profiled envelope mould careful design.
Implement Circular test down space envelope profiled envelope mould method for accurately designing of the invention, has the advantages that
Circular test down space envelope profiled envelope mould method for accurately designing of the present invention is simple, efficient, has very strong practical Property and versatility, can be designed that upper surface be arbitrary shape component corresponding to envelope mould, according to designed by this method Envelope mould geometric accuracy is high, well ensures the space envelope forming accuracy of member upper surface.
Detailed description of the invention
Present invention will be further explained below with reference to the attached drawings and examples, in attached drawing:
Fig. 1 is the isometric view of component to be formed;
Fig. 2 is Circular test down space envelope profiled envelope mould careful design schematic illustration;
Fig. 3 is the envelope mould main view designed according to this method;
Fig. 4 is the bottom view of Fig. 3.
Specific embodiment
For a clearer understanding of the technical characteristics, objects and effects of the present invention, now control attached drawing is described in detail A specific embodiment of the invention.
Present example is directed to a certain particular elements as shown in Figure 1, using the present invention to its space envelope profiled envelope mould It is designed.Circular test down space envelope profiled envelope mould careful design schematic illustration is as shown in Figure 2.
The envelope mould of the example design the following steps are included:
S1, Circular test down space envelope profiled envelope mould careful design principle is determined.Example down space envelope forming packet Network mould is that inclination angle isCone, the conical surface be used to envelope formed parts upper surface, envelope mould member upper surface engagement turn It is dynamic to return to initial position after a week;
S2, determine that Circular test down space envelope shapes center.The midpoint of member upper surface to be formed is selected to wrap as space Network shapes central point;
S3, rectangular coordinate system is established.Using the space envelope forming center O point determined in S2 as coordinate origin, sat with passing through The vertical axis of mark origin is that z-axis establishes rectangular coordinate system O-xyz, as shown in Figure 2;
S4, according to the rectangular coordinate system established in S3, determine the point coordinate of member upper surface to be formed;
S5, Circular test down space envelope profiled envelope mould initial position is determined.Space envelope profiled envelope mold shaft line and z-axis It is overlapped, the intersection point of envelope mold shaft line and envelope mould cone surface is located at O point and remains stationary in space envelope forming process;
S6, Circular test down space envelope profiled envelope mould careful design process is determined.A point A is chosen in member upper surface (5,5, -1) cross the vertical line that O point makees AOz plane, A point are rotated the angle γ, A ' (x ', y ', z ') point of acquisition around the vertical line upwards As any point on the corresponding envelope mould of the component.A point is considered as A point to A ' processes and first rotates counterclockwise α around z-axis Angle is to the A " (x " in xOz plane, y ", z ") point, then A " point rotates counterclockwise the angle γ to A around y-axis " ' (x " ', y " ', z " ') Point, last A " ' rotates clockwise the angle α around z-axis, and obtained point is A ' point at this time;
S7, calculate Circular test down space envelope mould on A (5,5, -1) corresponding point A ' (x ', y ', z ') coordinate.
According to geometry in S6 and movement relation, the coordinate conversion relation put by A point to A " are as follows:
(x ", y ", z ")=(5,5, -1) Rz1 (1)
Wherein, Rz1For around the transformation matrix at z-axis rotation alpha angle counterclockwise:
A " point coordinate is calculated are as follows:
By A " putting to A " ' coordinate conversion relation are as follows:
Wherein, RyFor the transformation matrix for rotating the angle γ counterclockwise around y-axis:
A " ' coordinate is calculated are as follows: A " ' (7.10,0,0.22).
By A " ' to A ' coordinate conversion relations are as follows:
(x ', y ', z ')=(7.10,0,0.22) Rz2 (7)
Wherein, Rz2For the transformation matrix for rotating clockwise the angle α around z-axis:
A ' coordinates are calculated are as follows: A ' (5.021,5.021,0.22).
It is available according to above-mentioned transformation relation, on envelope mould with point corresponding to point A (5,5, -1) on component to be formed It is A ' (5.021,5.021,0.22).
The other points of member upper surface to be formed are calculated according to the method described above, the available other points of envelope mould surface are sat Mark, and then realize Circular test down space envelope profiled envelope mould careful design.The envelope mould model obtained according to this method is as schemed 3, shown in Fig. 4.
The embodiment of the present invention is described with above attached drawing, but the invention is not limited to above-mentioned specific Embodiment, the above mentioned embodiment is only schematical, rather than restrictive, those skilled in the art Under the inspiration of the present invention, without breaking away from the scope protected by the purposes and claims of the present invention, it can also make very much Form, all of these belong to the protection of the present invention.

Claims (4)

1. a kind of Circular test down space envelope profiled envelope mould method for accurately designing, which comprises the following steps:
S1, Circular test down space envelope profiled envelope mould careful design principle is determined:
Space envelope profiled envelope mould is the cone that inclination angle is β, and the conical surface is used to envelope formed parts upper surface, and envelope mould exists Member upper surface engagement rotation returns to initial position after a week;
S2, determine that Circular test down space envelope shapes center;
S3, rectangular coordinate system is established;It is zeroaxial to lead to using determining space envelope forming center O point as coordinate origin Vertical axis is that z-axis establishes rectangular coordinate system O-xyz;
S4, according to the rectangular coordinate system established in S3, determine the point coordinate of member upper surface to be formed;
S5, Circular test down space envelope profiled envelope mould initial position is determined;
S6, Circular test down space envelope profiled envelope mould careful design process is determined, specifically:
It is chosen any point A (x, y, z) in member upper surface, crosses the vertical line that O point makees AOz plane, A point is revolved upwards around the vertical line Turn the angle γ, A ' (x ', y ', the z ') point of acquisition is any point on the corresponding envelope mould of the component.A point can to A ' processes The angle α first is rotated counterclockwise to the A " (x " in xOz plane, y ", z " around z-axis to regard A point as) point, then A " is put counterclockwise around y-axis The angle γ is rotated to A " ' (x " ', y " ', z " ') point, last A " ' rotates clockwise the angle α around z-axis, and obtained point is A ' at this time Point;
S7, calculate Circular test down space envelope profiled envelope mould any point coordinate, and then realize Circular test down space envelope at Shape envelope mould careful design.
2. Circular test down space envelope profiled envelope mould method for accurately designing according to claim 1, which is characterized in that In the step S2, member upper surface any point O point can be used as space envelope forming center, the point other than member upper surface When shaping center as space envelope, which need to be on the horizontal plane where member upper surface minimum point.
3. Circular test down space envelope profiled envelope mould method for accurately designing according to claim 1, which is characterized in that In the step S5, space envelope profiled envelope mold shaft line is overlapped with z-axis, the intersection point of envelope mold shaft line and envelope mould cone surface It remains stationary positioned at O point and in space envelope forming process.
4. Circular test down space envelope profiled envelope mould method for accurately designing according to claim 3, which is characterized in that root According to geometry in S6 and movement relation, the coordinate conversion relation put by A point to A " are as follows:
(x ", y ", z ")=(x, y, z) Rz1 (1)
Wherein, Rz1For around the transformation matrix at z-axis rotation alpha angle counterclockwise:
By A " putting to A " ' coordinate conversion relation are as follows:
(x " ', y " ', z " ')=(x ", y ", z ") Ry (4)
Wherein, RyFor the transformation matrix for rotating the angle γ counterclockwise around y-axis:
By A " ' to A ' coordinate conversion relations are as follows:
(x ', y ', z ')=(x " ', y " ', z " ') Rz2 (7)
Wherein, Rz2For the transformation matrix for rotating clockwise the angle α around z-axis:
It is obtained putting the coordinate conversion relation for arriving A ' (x ', y ', z ') by A (x, y, z) by above-mentioned equation are as follows:
(x ', y ', z ')=(x, y, z) Rz1RyRz2 (9)
Circular test down space packet can be accurately calculated according to the point coordinate of the member upper surface to be formed determined in S4 and equation (9) Network profiled envelope mould any point coordinate, and then realize Circular test down space envelope profiled envelope mould careful design.
CN201811020615.5A 2018-09-03 2018-09-03 Precise design method for space envelope forming envelope mold under circular track Active CN109214083B (en)

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Cited By (8)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN110543681A (en) * 2019-08-02 2019-12-06 武汉理工大学 accurate construction method for large non-revolving component split type space envelope forming roller
CN110826252A (en) * 2019-11-26 2020-02-21 武汉理工大学 Enveloping mold design method for improving space enveloping forming precision under linear track
CN110899393A (en) * 2019-11-26 2020-03-24 武汉理工大学 Method for correcting space envelope forming envelope mold of thin-wall high-rib wallboard component
CN110918846A (en) * 2019-11-26 2020-03-27 武汉理工大学 Space envelope forming method of clutch outer hub component
CN110918847A (en) * 2019-11-26 2020-03-27 武汉理工大学 Space envelope forming method for thin-wall high-rib wallboard component
CN111046507A (en) * 2019-12-16 2020-04-21 武汉理工大学 Method for judging spatial envelope forming interference limit of conical thin-wall high-rib component
CN111104715A (en) * 2019-11-26 2020-05-05 武汉理工大学 Precise design method for space envelope forming envelope die under linear track
CN111375666A (en) * 2020-02-14 2020-07-07 武汉理工大学 Radial and axial enveloping rolling forming method for complex ribbed curved surface component

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US20050117985A1 (en) * 2002-10-31 2005-06-02 Yaxiong Zhang Five-simultaneously-working-axis computerized numerical controlled tooth cutting machine tool for plane enveloping toroidal worms
WO2013130082A1 (en) * 2012-03-01 2013-09-06 Geo Semiconductor Inc. Method and system for adaptive perspective correction of ultra wide-angle lens images
CN104021249A (en) * 2014-06-06 2014-09-03 武汉理工大学 Method for accurately calculating motion track of any point on surface of upper rotary forging die

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US20050117985A1 (en) * 2002-10-31 2005-06-02 Yaxiong Zhang Five-simultaneously-working-axis computerized numerical controlled tooth cutting machine tool for plane enveloping toroidal worms
WO2013130082A1 (en) * 2012-03-01 2013-09-06 Geo Semiconductor Inc. Method and system for adaptive perspective correction of ultra wide-angle lens images
CN104021249A (en) * 2014-06-06 2014-09-03 武汉理工大学 Method for accurately calculating motion track of any point on surface of upper rotary forging die

Cited By (11)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN110543681A (en) * 2019-08-02 2019-12-06 武汉理工大学 accurate construction method for large non-revolving component split type space envelope forming roller
CN110826252A (en) * 2019-11-26 2020-02-21 武汉理工大学 Enveloping mold design method for improving space enveloping forming precision under linear track
CN110899393A (en) * 2019-11-26 2020-03-24 武汉理工大学 Method for correcting space envelope forming envelope mold of thin-wall high-rib wallboard component
CN110918846A (en) * 2019-11-26 2020-03-27 武汉理工大学 Space envelope forming method of clutch outer hub component
CN110918847A (en) * 2019-11-26 2020-03-27 武汉理工大学 Space envelope forming method for thin-wall high-rib wallboard component
CN111104715A (en) * 2019-11-26 2020-05-05 武汉理工大学 Precise design method for space envelope forming envelope die under linear track
CN110918847B (en) * 2019-11-26 2021-01-05 武汉理工大学 Space envelope forming method for thin-wall high-rib wallboard component
CN110826252B (en) * 2019-11-26 2022-07-19 武汉理工大学 Enveloping mold design method for improving space enveloping forming precision under linear track
CN111046507A (en) * 2019-12-16 2020-04-21 武汉理工大学 Method for judging spatial envelope forming interference limit of conical thin-wall high-rib component
CN111046507B (en) * 2019-12-16 2024-03-08 武汉理工大学 Method for judging spatial envelope forming interference limit of conical thin-wall high-rib component
CN111375666A (en) * 2020-02-14 2020-07-07 武汉理工大学 Radial and axial enveloping rolling forming method for complex ribbed curved surface component

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