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Page 1: Moldflow MPI CD-ROM S/N

Moldflow MPI

CD-ROM

S/N

Page 2: Moldflow MPI CD-ROM S/N

The mold flow analysis of the injection

molding process using Taguchi method and

grey relational analysis

Abstract

This article makes use of quality engineering program of the Taguchi method and the

grey relational analysis to develop the procedure about the many distinct engineering factors

effect the quality of objective on the injection molding process. We also collocates the mold

flow analytical software of Moldflow MPI to process the mold flow analysis.

Simultaneously, it analyzes and proves the influence of the many distinct engineering factors

on the quality of objective each other, from many experiment result of each engineering

factor's combination, to establish the optimal process of plastics injection molding in order to

execute the effective computer simulation. We take the warping phenomenon of CD-ROM

disk pallet for an example, in accordance with the process of variation of signal to noise ratio

and the grey relation analysis for each engineering factor upon the distribution of shear

stress, acquire that the result for the influences of the objective quality will identically. The

arrangement of effect magnitude is the temperature of melt, filling time, filling pressure and

temperature of mold. From the degree of contribution or relation we obtain that the

noticeable variations are the temperature of melt and filling time. Those factors will increase

the quality of product. The filling pressure and temperature of mold, the unnoticeable

variations, will be the basis to reduce cost.

Key words : Taguchi method, grey relational analysis, signal to noise ratio, degree of relation,

injection of form.Ko-Ta Chiang : Associate Professor, Department of Mechanical Engineering, HIT

Page 3: Moldflow MPI CD-ROM S/N

[1,2]

(CAE)

(CAE)

C-mold moldflow Moldex

Kamal and Keing [3]

Wu et al. [4]

N o n -

Newtonian fluid Behavior

Hieber and Shen [5]

Hele-

S h a w [ 6 ] N o n -

Newtonian fluid

Chiang et al. [7]

Hele-Shaw[6] Hetu et al. [8]

3D

Pandelidis and Zou [9]

Choi et al. [10]

Neural network

(CAE)

Page 4: Moldflow MPI CD-ROM S/N

CAE CAE

(try-and-error)

( Ta g u c h i

Method) [11]

1923 R. A. Fisher [12]

(orthogonal array) (signal to

noise ratio, S/N) (analysis of

variance, ANOVA) (response

table) (response graph)

(Taguchi Method)

[13,14]

[15,16]

[17]

( G r e y

system)

[18-22]

[23]

Laing[24] Chang

Page 5: Moldflow MPI CD-ROM S/N

et. al. [25]

I-deas Master Series 8

Moldflow MPI

CD-ROM

(orthogonal array)

(signal to noise ratio,

S/N) (analysis of variance,

ANOVA) (response table)

(response graph)

(the larger-the-

better ) (the smaller-the-

better ) (the nominal-the-

better )

(

)

S/N S/N

M.S.D.

(the mean square

deviation)

S/N

S / N

Page 6: Moldflow MPI CD-ROM S/N

Q(X) R

Xi

X0(k) Xi(k) i 0

Xi(k) X0(k)

Xi X0

[18-22]

1.

2.

3.

Page 7: Moldflow MPI CD-ROM S/N

4.

Xi(k) X0(k)

[18-22 ]

ξ

0 1 0.5 [18-

22]

m i n

max

ri (k)

0.5

ri (k)

Xi Xo

r ( Xo Xi )

Page 8: Moldflow MPI CD-ROM S/N

CD-ROM

ABS PA-746

187 127 18(mm)

1.5mm 3D

(shear stress)

CD-ROM

1.

2.

3.

ABS

Page 9: Moldflow MPI CD-ROM S/N

L9

Moldflow MPI

S/N

yi n

S/N

A3 B1 C1

D 1 A 1

B2 C2 D3 S/N

S/N

Page 10: Moldflow MPI CD-ROM S/N

0.5

Xi

Xo

r ( Xo Xi )

Xo

Xi r (

Xo Xi )

1.2565

S/N

92.64%

4.31%

I-deas Master Series 8

Moldflow MPI

CD-ROM

Page 11: Moldflow MPI CD-ROM S/N

S/N

[1] J. Bown, Injection moulding of plastic

components, McGraw-Hill,

Maidenhead, pp.88-146, 1979.

[2] R. J. Crawford, Plastic engineering, 2nd

edition, Pergamon press, Oxford,

1989.

[3] M. R. Kamal and S. Kenig," The

injection molding of thermoplastics",

Polym. Eng. Sci. 12, pp.294-302,

1972.

[4] P. C. Wu, C. F. Huang and C. G. Gogos,

"Simulation of mold filling process",

Polym. Eng. Sci. 30(10), pp.882-892,

1990.

[5] C. A. Hieber and S. F. Shen, " a finite-

element/finite-difference simulation of

the injection molding filling process",

J. Non-Newtonian Fluid Mech. 7,

pp.1-32, 1980.

[6] H. Schlichting, Boundary-layer theory,

McGraw-Hill, New York, 1968.

[7] H. H. Chiang, C. A. Hieber and K. K.

Wang, "A unified simulation of the

filling and post filling stages in

injection molding. Part I.

Formulation", Polym. Eng. Sci. 31(2),

pp.116-123, 1991.

[8] J. F. Hetu, D. M. Gao, A. Garcia-Rejon

and G. Salloum, "3D finite element

method for the simulation of the

filling stage in injection molding",

Polym. Eng. Sci. 38(2), pp.223-236,

1998.

[9] I. Pandelidis and Q. Zou, "Optimization

of injection molding design. Part I.

Page 12: Moldflow MPI CD-ROM S/N

Gate location optimizatiom, Polym.

Eng. Sci. 30(10), pp.882-892, 1990.

[10] G. H. Choi, K. D. Lee and N. Chiang,

"Optimization of process parameters

of injection molding with neural

network application in a process

simulation environment", Ann. CIRP

43(1), pp.449-452, 1994.

[11] G. Taguchi, Introduction to quality

engineering, Asian Productivity

Organiztion, Tokyo, 1990.

[12] R. A. Fisher, Statistical methods for

research workers, Oliver and Boyd,

London, 1925.

[13] D. C. Koa, D. H. Kimb and B.M.

Kimc, "Application of artificial neural

network and Taguchi method to

preform design in metal forming

considering workability",

International Journal of Machine

Tools & Manufacture 39, pp.771-785,

1999.

[14] W. H. Yang and Y. S. Tarng, "Design

optimization of cutting parameters for

turning operations based on the

Taguchi method", Journal of Materials

Process Technology 84, pp.122-129,

1998.

[15] A. Mertol, "Application of the Taguchi

method on the robust design of

molded plastic ball grid array

packages", IEEE Trans. Components

Packaging and Manufacturing

Technol, Part B, pp.734-743, 1995.

[16] R. S. Chen, H. C. Lin and C. Kung,

"Optimal dimension of PQFP by using

Taguchi method", Composite

Structures 49, pp.1-8, 2000.

[17] K. M. Tsai and P. J. Wang, "Semi-

empirical model of surface finish on

electrical discharge machining",

International Journal of Machine

Tools & Manufacture 41, pp.1455-

1477, 2001.

[18]

1-34

1985

[19]

24-55

1985

[20]

202-210

Page 13: Moldflow MPI CD-ROM S/N

1986

[21]Deng, J., "Introduction to Grey System

Theory", The Journal of Grey System

1, pp.1-23, 1989.

[22]

15-20 1997

[23]

-

49-55

1994

[24]Laing, R. H., "Application of grey

relation analysis to hydroelectric

generation scheduling", Electrical

power and energy systems 21, pp.357-

364, 1999.

[25]Chang, S. H., Hwang, J. R. and Doong,

J. L., "Optimization of the injection

molding process of short glass fiber

reinforced polycarbonate composites

using grey relation analysis", Journal

of materials processing technology 97,

pp.186-193, 2000.

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