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CAD API based tool path control for novel incremental sheet forming .pdf
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详细说明:基于CAD技术的API自动控制算法开发,以实现一种新型的渐进成形工艺CAD API BASED TOOL PATIL CONTROL FOR SILEET FORMINO
83
PkM with
Linear actuators
Master tool
with slave tool
Fig. 2. Prototype of a PKM-based DSF machine
The prototype has an industrial fagOr 8070 control. It can handle simultaneously
interpolated 28 axes and the execution channels allow four different machining
operations to run in synchronization. For the dsf process six axes are enough, three for
the forming(master)tool and three for the supporting(slave) tool
2.1. Tool path calculations and forming strategies
The master tool path is processed with the CATIA CAM post-processor for surface
milling. This CAM program supports Z-level calculations for 5 axis milling machines
so the normal vector at cach contact point can be used to calculate the slave tool path
This is done by a home made offline path calculator based on the master tool path
Forming tests were carried out after several simulations with two forming strategies
(strategy 'Aand 'B with constant step depth) on a truncated cone with different wall
angles. At strategy 'A,, the slave tool supports the sheet on the backside, by moving
ly along the
our, constantly on the flat zone of the part (on the
first forming level) as shown in Fig. 3
MASTERTOOL
Fig. 3. Section view of a truncated cone showing forming strategy ' A
At strategy 'B'(see Fig. 4)the slave tool moves synchronously along the outer
contour right on the opposite side of the sheet and supports the master tool
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MASTER TOOL
SLAVE TOOL
4. Section view of a truncated cone showing forming strategy B
The master tool needs a support at least on the first Z-level(strategy 'A)with a
predefined offset to avoid unwanted deformations. Fig. 5 shows the master-slave
configuration and the tool paths for strategy 'B(on the left-hand side) and 'A'(on the
right-hand side)
thickness t
surface normal
master tool path
laster Tool path
tool radius, Rr
区2 Level n)
Slave Tool Path
z-Level n,
tool cen:er pcint
Fig. 5. Master-slave tool configuration, strategy B and'A
Using the notations given in Fig. 5, the tool center point of the slave tool can be
calculated for strategy ' B'(1)and'A'(2)respectively by the following formulas
TCPS= TCPM+(2R
T
(1)
TCP
TCP
X", TCPVM/R
TCP,
where TCP is given by the coordinates. The volume constancy leads to the relationship
(3) between the initial (to) and the actual (t1) sheet thickness by a given wall angle
a. where t is calculated with the formula so-called
t1=t0
3)
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CAD API BASED TOOL PATIL CONTROL FOR SILEET FORMINO
2.2. Results of Tool Path calculations and forming
The tool path calculation time depends on the computer resources(CPU, memory
etc. ) the complexity of the part and the number of the contact points. The CATIa CAM
program is using linear spline interpolation; so the sum of the points can be a huge
number in some cases. Fig. 6 shows the result of a simple truncated cone's tool path
calculation with strategy 'B
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Fig. 6. Tool Paths in CATIA, strategy ' B
DSF increased the flexibility of the conventional ISF and with multistage forming
[15], where the final shape is created with more than one NC programs, higher
formability can be realized. Fig. 7 shows a part manufactured incrementally with
multistage DSF. The results can be easily achieved by applying a higher wall angle
Fig. 7. DSF with multistage forming(second NC program)
2.3. The problem of the commercial post-processor
In some cases the post-processor's master tool path generation cannot be used with
strategy 'A because the result of the linear interpolation is not sufficient in connection
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with accuracy and control. The number of contact points decreases with the increase of
the forming depth, more precisely with the decrease of the circumference. This means at
the first Z-level that the number of generated points is always higher than it is on the
last 7-level. In most of the cases this leads to asynchronous movement of the two
forming tools and to unwanted sheet deformation
One solution is to use other post-processors. The other solution is to increase the
contact points with a 'controlled 3D model
3. CAD API for parameterized 3D model building
The Application Programming Inter face of commercial CAD programs gives the
ability, to every user, to develop their own applications. These are highly capable of
enhancing certain parts of the work with the software, its level of customization, and
efficiency of usage, without a deep programming know ledge. Solid Works is a user-
friendly CAD application in this field and it is also a product of Dassault Sytemes like
CATIA. Moreover the necessary program the Visual Basic for Applications can be
found in the install package. These were some of the main reasons why the Solid Works
API was chosen to overcome the problem mentioned in Paragraph 2.3
A novel method was presented by Hussain and gao([161-l17D to test the thinning
limits of sheet metals in negative incremental forming. The CAD APl is able to build
predefined parameterized models mentioned by Hussain and Gao [16]. lig. 8 shows the
graphical user interface of the CAD API and a circular generatrix'(a geometric
element that generates a geometric figure, especially a spline that generates a surface by
moving the spline in a specified fashion)
Arisk
Those
Y saw rodels
sane nae
seve fader
osher
ig. 8. Graphical user interface of the CAD API
The program was designed to create approximations of parts with circular cross
section in order to test the thinning limits in DSF. The picture in /ig. 8 is showing the
Pollack Periodico 5. 2010. 2
CAD API BASED TOOL PATIL CONTROL FOR SILEET FORMINO
required parameters, which are to be given in the fields on the left-hand side. The
accuracy of the approximation can be controlled via the number of sides, which means,
that a polygon with the umber of sides is used instead of the cross sectional circle. The
approximation of the generatrix' is based on the curve length, in such a way that the
relative difference between the length of chain of lines and of the length of the curve is
minimum the same as the relative difference in the cross section the thickness of the
sheet can also be given. By clicking the generate button the generation of the model
starts and the CAd api closes itself. The models can be saved in step format but
Solid Works API supports other formats as well
3.1. Accuracy of the generated 3D models
The models produced by the API have a good approximate accuracy(see Fig. 2),
which can be improved by the increase of sides.
Inumber of sides
Fig. 9. Approximation error(in %)of the cross section as a function of sides
3.2. Results of the CAD API model building
The CAD API uses the 'lolt' command (one of the 3D feature commands in
Solid Works)to build the models. On the lell-hand side in Fig. 10 a predefined
parameterized model can be found with a circular generatrix created with the ' revolve
feature command and on the right-hand side the same model is shown with the
discussed approximation. The sides for the approximation are also visualized. For rea
time visualization of complex parts the possibility of using GPUs(graphics processing
units)with high performance computing [18 can be taken into consideration
pplying a master tool path generation on a regular model(left-hand side of
/ig. 10)processed with the CatIA CAM post-processor for surface milling using
7-level the positions of the tool center points are showing a high degree of irregularity
(see Fig. 77)
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pplying the same master tool path generation on a model created with the CAD
APl (right-hand side of lig. 10)the positions of the tool center points are showing an
increased degree of regularity (see Fig. 12)
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以图
Fig. 10. Model building result without and with approximation
国山兰
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画鱼即熟区中1(回
Fig. 11. Result of the master tool path generation on a regular model
4. Conclusions
In this paper a new concept of a milling machine-based Dieless Incremental Shee
Forming Dsf) process, a tool path calculation special for this new technique and the
CAD Application Programming Interface (for basic parts to overcome some problems
of a commercial post-processor was introduced. The main objective was to create a
Pollack Periodico 5. 2010. 2
CAD API BASED TOOL PATIL CONTROL FOR SILEET FORMINO
CAD application that is able to create parameterized models(with approximation)in
order to eliminate the errors of tool path generation and to improve the degree of
regularity of the tool center point positions. The test showed significant changes in the
tool center point positions but the application have to be improved in the future with
generation of stL files to bypass the use of additional commercial post-processors
三
〓像
中
Fig 12. Result of the master tool path generation on a model created with the CAD API
Acknowledgement
The manufacturing of the parts was achieved in the frames of a European research
(R&D) project, with
CULPTOR(NMP2-CT-2
014026). The work of graduate student Z. Illes during the investigation is greatly
acknowledged
References
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