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PARAMETRIC STUDY OF SANDWICH PANEL BUCKLING IN COMPOSITE WIND TURBINE BLADES<br />
Shicong Miao, Steven Donaldson, and Elias Toubia<br />
Figure 4. Flat model FEA result compare with the closed <strong>form</strong> solution<br />
RESULTS AND DISCUSSION<br />
Critical Buckl<strong>in</strong>g Load Nx*10 9<br />
(N/m)<br />
FEA compare with closed <strong>form</strong> solution<br />
1200<br />
1100<br />
1000<br />
900<br />
800<br />
700<br />
600<br />
500<br />
The local buckl<strong>in</strong>g phenomenon, such as core shear crimp<strong>in</strong>g and sk<strong>in</strong><br />
wr<strong>in</strong>kl<strong>in</strong>g, are discussed <strong>in</strong> references (Er<strong>in</strong>gen, 1952, V<strong>in</strong>son, 1999).<br />
The core thickness and shear modulus must be adequate to prevent the<br />
panel from buckl<strong>in</strong>g or fail<strong>in</strong>g under end compression loads. The<br />
compressive modulus of the fac<strong>in</strong>g sk<strong>in</strong> and the core compression<br />
strength must both be high enough to prevent a sk<strong>in</strong> wr<strong>in</strong>kl<strong>in</strong>g failure.<br />
S<strong>in</strong>ce the anayzed sk<strong>in</strong> material is sufficently stiff, local sk<strong>in</strong> failure<br />
was not taken <strong>in</strong>to consideration here<strong>in</strong> (Toubia, 2008). Each of the<br />
curves <strong>in</strong> the subsequent plots were created from five or six <strong>in</strong>dividual<br />
calculation po<strong>in</strong>ts. S<strong>in</strong>ce no dramatic shape variations were observed<br />
<strong>in</strong> the results, for clarity the <strong>in</strong>dividual data po<strong>in</strong>ts are not shown, but<br />
smoothed l<strong>in</strong>es are presented.<br />
0 20 40 60 80 100 120<br />
G 13 (MPa)<br />
FEA S4R<br />
ANALYTIC<br />
AL<br />
Flat Panel Core Thickness Study<br />
Figure 5 shows the effects of <strong>in</strong>creas<strong>in</strong>g the core transverse shear<br />
modulus (M1 through M4), <strong>in</strong>creas<strong>in</strong>g the number of fac<strong>in</strong>g layers (1<br />
layer fac<strong>in</strong>g to 5), and <strong>in</strong>creas<strong>in</strong>g the core thickness (C 0 is the core<br />
thickness divided by the fac<strong>in</strong>g thickness) on the critical buckl<strong>in</strong>g load,<br />
N 1 . Figure 5 illustrates that a higher transverse shear modulus <strong>in</strong>creases<br />
critical buckl<strong>in</strong>g load. It is also clear that both <strong>in</strong>creas<strong>in</strong>g the number of<br />
fac<strong>in</strong>g layers, as well as <strong>in</strong>creas<strong>in</strong>g the core thickness lead to <strong>in</strong>creases<br />
<strong>in</strong> the critical buckl<strong>in</strong>g load. Note that while <strong>in</strong>creas<strong>in</strong>g the thickness of<br />
the core, the critical buckl<strong>in</strong>g loads <strong>in</strong>crease faster <strong>in</strong> the cases with<br />
higher transverse core shear modulus. Also, for <strong>in</strong>creased core<br />
thickness, a higher number of layer fac<strong>in</strong>g results <strong>in</strong> rapid <strong>in</strong>creases <strong>in</strong><br />
critical buckl<strong>in</strong>g load. Figure 6 depicts similar trends for the lam<strong>in</strong>ate<br />
critical stra<strong>in</strong> values: transverse shear modulus of the core, core<br />
thickness, and number of fac<strong>in</strong>g layers are the dom<strong>in</strong>ant aspects <strong>in</strong><br />
sandwich panel buckl<strong>in</strong>g resistance.<br />
Figure 5. Critical buckl<strong>in</strong>g load versus normalized core thickness C 0 for all five fac<strong>in</strong>g layers and all four core materials. Flat-section. 1m width<br />
sandwich panel.<br />
Critical Buckl<strong>in</strong>g Load N 1 *10 5 (N/m)<br />
45<br />
40<br />
35<br />
30<br />
25<br />
20<br />
15<br />
10<br />
5<br />
0<br />
1 3 5 7 9 11 13 15<br />
Normalized core thickness C 0<br />
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