Workshop II Stiffness and Strength Matching[1]

8/12/2019 Workshop II Stiffness and Strength Matching[1]

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EXAMPLE10:USINGMICMACSHAFT

- yStiffness and Strength Matching

Daniel Melo, PhDVisiting Professor

Department of Aeronautics and Astronautics


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MIC-MAC

MIC-MAC In-Plane

A laminate [03/+452/-452]s is given as baseline. We will compare thisbaseline with a simpler laminate of 2 ply angles []ns.

Try to match Eo1 and Eo6 using the simpler laminate.

Is there an angle (or range of angles) where these properties are

Compare the strength ratio R of the baseline with the simpler laminate

of 2 ply angles []ns for n = 3 and 4, considering an applied load of

{N1; N2; N6} = {0.1; 0; 0.05} MN/m.

Material: T300/5208


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MIC-MAC

Procedure:

1) First compare E1 and E6 .

2) Open MIC-MAC and plot E1, E2 and E6 (these are in-plane

effective properties) for the []ns laminate as a function of angle .

Note: Define # of repeats as 3 for the []ns laminate (12 layers total) to

compare with the [03/+452/-452]s laminate (14 layers total).

3) Use the GetVals tool to store the data.

4) Then, plot the values of E1, E2 and E6 for the [03/+452/-452]slaminate.

5) Use the GetVals tool to store the data.


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EXAMPLE10:USINGMICMACSHAFTMIC-MAC

Comparison between [03/+452/-452]s and [ ]3s laminates for various angles.

In-plane properties.

T300/5208

160.00

180.00

200.00

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140.00

)

E1 FPF

E2 FPF

60.00

80.00

100.00

(GP

E1 FPF

E2 FPF

E6 FPF

[]ns

20.00

40.00

3 2- 2 s

0.00

0 2 4 6 810

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Therefore:

For E1 the []3s laminate displays superior properties for 0 25 deg.

6 3s .

In-plane properties E1 and E6 are equivalent for = 25 (deg) approx.

Next, compare the strength ratio R of the baseline [03/+452/-452]s with the

simpler laminate of 2 ply angles []ns for n = 3 and 4 and for an

applied load of {0.1; 0; 0.05} MN/m.

1) Plot R_FPF for the []3s laminate as a function of angle (12 layers

total) for the given applied load.

2) Use the GetVals tool to store the data.3) Plot R_FPF for the []4s laminate as a function of angle (16 layers

total) for the same applied load.

4 Use the GetVals tool to store the data.

5) Plot R_FPF for the [03/+452/-452]s laminate (baseline) for the same

applied load.6) Superpose the plots and compare.


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Comparison between [03/+452/-452]s , [ ]3s and [ ]4s laminates for various angles.

R_FPF for {0.1;0;0.05} MN/m.

T300/5208

9.00

7.00

8.00

0 /+45 /-45

[]4s

5.00

6.00

FPF

s

3.00

4.00R

[]3s

0.00

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0 2 4 6 810

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Therefore, for the given applied load:

R for the []ns laminate is max when = 22 (deg).

When = 22 (deg), R for the []ns laminate with n = 3 is the same asR for the baseline laminate.

.

R for the []ns laminate with n = 4 is superior for 15 31 deg.

When = 22 (deg), R for the []ns laminate with n = 4 is 33 % largert an or t e ase ne am nate.

Number of layers increased from 14 to 16 (14 %).


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EXAMPLE10:USINGMICMACSHAFTHW

1) Plot the strength ratio R_FPF as a function of the angle for a [2

]s

laminate, comparing to a baseline laminate [0/+45/-45/90]s and

determine the angle that gives the highest R_FPF for an applied load

o 1; 2; 6 = . ; ; . m.

2) Based on R_FPF, will the baseline laminate resist the applied load?

3) Determine the range of angles that the laminate [2]s will resist the

applied load.

Material: T300/5208

Workshop II Stiffness and Strength Matching[1]

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