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PARAMETRIC STUDY OF SANDWICH PANEL BUCKLING IN COMPOSITE WIND TURBINE BLADES<br />

Shicong Miao, Steven Donaldson, and Elias Toubia<br />

exclud<strong>in</strong>g sandwich plates or shells. Therefore, it is useful to per<strong>form</strong> a<br />

parametric study of both flat and curved section strips represent<strong>in</strong>g<br />

different characteristic regions of sandwich lam<strong>in</strong>ates <strong>in</strong> blades.<br />

A parametric study of the buckl<strong>in</strong>g per<strong>form</strong>ance of core materials on<br />

the basis of transverse shear modulus and thickness, with<strong>in</strong> a given<br />

design doma<strong>in</strong> (a fixed set of lam<strong>in</strong>ate designs and critical buckl<strong>in</strong>g<br />

loads) is presented. This will provide <strong>in</strong>sight <strong>in</strong>to optimal core<br />

solutions. This study considers both flat and curved-section rectangular<br />

sandwich strip models with long aspect ratios, which provide close<br />

approximations to the buckl<strong>in</strong>g loads and mode shapes (wavelengths)<br />

expected <strong>in</strong> the sandwich panel regions of the blades. Consider<strong>in</strong>g the<br />

design process and the characteristic stra<strong>in</strong>s <strong>in</strong> axial compression<br />

conditions, the buckl<strong>in</strong>g trends are on the basis of both critical buckl<strong>in</strong>g<br />

load and stra<strong>in</strong>.<br />

A <strong>complete</strong> parametric study us<strong>in</strong>g practical design properties does not<br />

appear to exist <strong>in</strong> the literature, and was therefore the goal of this study.<br />

The results of the present work <strong>in</strong> practical design optimization studies<br />

would then <strong>in</strong>volve assess<strong>in</strong>g the cost and weight of various core<br />

products as an <strong>in</strong>dication of optimal thickness values, then compar<strong>in</strong>g<br />

the cost and weight of the various solutions.<br />

ANALYSIS AND DESCRIPTION<br />

F<strong>in</strong>ite Element Analysis<br />

In sett<strong>in</strong>g up the model, two panel models (flat and curved -section)<br />

were considered to represent different regions of the blade shell. It was<br />

assumed that all layers of the panel were perfectly bonded together and<br />

thus the displacements were cont<strong>in</strong>uous throughout the thickness.<br />

The model of the panel strips were built <strong>in</strong> ABAQUS 6.10 with<br />

elements of S4R (ABAQUS User’s Manuals, Version 6.10). For the<br />

flat-section model, there were a total of 1111 nodes and 1000 elements<br />

used. The curved section model used 1313 nodes and 1200 elements.<br />

This mesh density was established <strong>in</strong> a prior convengence study by<br />

Toubia (Toubia, 2008).<br />

The general boundary condidtions of the sandwich panel models are<br />

shown <strong>in</strong> Figure 1. In the flat-section model, on the loaded edge, U 2 =<br />

U 3 = 0. The long edges have U 2 = U 3 = 0, and the far end has U 1 = U 2 =<br />

U 3 = 0. In the curved-section model, on the loaded edge, U t = U r = 0.<br />

In this <strong>in</strong>itial study, the load profile was assumed to be uni<strong>form</strong> across<br />

the ends (later studies to exam<strong>in</strong>e non-uni<strong>form</strong> load<strong>in</strong>g are appropriate).<br />

The long edges have U t = U r = 0, and the far end has U t = U r = U z = 0.<br />

The analyzed material data and panel model <strong>in</strong><strong>form</strong>ation can be found<br />

<strong>in</strong> Table 1 and Table 2. The fac<strong>in</strong>g material used <strong>in</strong> this study is E_TLX<br />

5500 ( E_TLX5500, 15 December 2011.) which is [0/45/-45] E-glass<br />

material commonly used as composite re<strong>in</strong>forcement <strong>in</strong> w<strong>in</strong>d turb<strong>in</strong>e<br />

blade shell regions. Four representative core materials (M1 to M4) are<br />

selected to cover the prevalent material shear modulus range. The<br />

critical buckl<strong>in</strong>g eigenvalues were found by buckl<strong>in</strong>g analysis us<strong>in</strong>g<br />

ABAQUS, and then applied <strong>in</strong> the l<strong>in</strong>ear analysis approach to obta<strong>in</strong><br />

the critical buckl<strong>in</strong>g stra<strong>in</strong>s. Sample dom<strong>in</strong>ant buckl<strong>in</strong>g mode shapes<br />

are shown <strong>in</strong> Figure 2 and Figure 3.<br />

Figure 1. General bounduary conditions of the <strong>in</strong>f<strong>in</strong>itely long strip of the panel (1, 2, 3) and shell (r, t, z)<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 4

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