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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 />

<strong>Academy</strong><strong>Publish</strong>.org – Journal of Eng<strong>in</strong>eer<strong>in</strong>g and Technology Vol.2, No.2 7

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