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

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

CONCLUSIONS<br />

A f<strong>in</strong>ite element based study of the buckl<strong>in</strong>g of composite sandwich<br />

panels (as seen <strong>in</strong> w<strong>in</strong>d turb<strong>in</strong>e blade shells) was conducted to exam<strong>in</strong>e<br />

the sensitivity of critical buckl<strong>in</strong>g load and stra<strong>in</strong> levels to multiple<br />

design parameters, <strong>in</strong>clud<strong>in</strong>g the core transverse modulus, core<br />

thickness, number of fac<strong>in</strong>g layers, panel width, and panel curvature.<br />

The results of this project provide a more efficient prelim<strong>in</strong>ary design<br />

method to assess sandwich panel buckl<strong>in</strong>g <strong>in</strong> w<strong>in</strong>d turb<strong>in</strong>e blade design.<br />

The results from this study <strong>in</strong> practical design optimization would<br />

<strong>in</strong>volve assess<strong>in</strong>g the variables listed above, then compar<strong>in</strong>g the cost<br />

and weight of the various solutions toward the design objectives such<br />

as m<strong>in</strong>imiz<strong>in</strong>g cost or weight.<br />

ACKNOWLEDGEMENT<br />

The discussions with Fred Stoll of Milliken & Co. are gratefully<br />

appreciated.<br />

REFERENCES<br />

ABAQUS User’s Manuals, Version 6.10 ( Volume I-III, Hibbitt:<br />

Karlson and Sorensen, Inc., Pawtucket, RI.)<br />

Allen HG. Analysis and design of structural sandwich panels.<br />

Pergamon Press, Oxford 1969.<br />

E_TLX5500. http://www.vectorply.com/pdf/e-tlx%205500.pdf.<br />

Accessed 15 December 2011.<br />

Er<strong>in</strong>gen AC. Bend<strong>in</strong>g and buckl<strong>in</strong>g of rectangular plates. Proceed<strong>in</strong>gs<br />

of the first U.S. National congress of applied mechanics, ASME, New<br />

York 1952. 381-390.<br />

Gambhir ML. Stability analysis and design of structure. Spr<strong>in</strong>ger 2004.<br />

http://proquest.umi.com/pqdl<strong>in</strong>k?did=1537815401&Fmt=7&clientI%2<br />

0d=79356&RQT=309&VName=PQD. Accessed 15 December 2011.<br />

http://www.gurit.com/files/documents/3_Blade_Structure.pdf<br />

Jackson, K, Zuteck, M, van Dam, C, Standish, ., Berry, D. Innovative<br />

Design Approaches for Large W<strong>in</strong>d Turb<strong>in</strong>e Blades. W<strong>in</strong>d Energy<br />

2005; 8:141–171.<br />

Leissa AW. Buckl<strong>in</strong>g of lam<strong>in</strong>ated composite plates and shell panels.<br />

Air Force Wright Aeronautical Laboratories 1985, F<strong>in</strong>al Report, No.<br />

AFWAL-TR-85-3069.<br />

Lund E, Johansen LS, On Buckl<strong>in</strong>g Optimization of a W<strong>in</strong>d Turb<strong>in</strong>e<br />

Blade. Mechanical Response of Composites, Computational Methods <strong>in</strong><br />

Applied Sciences 2008, Volume 10, 243-260.<br />

Lund E. On Structural Optimization of Composite Shell Structures<br />

Us<strong>in</strong>g a Discrete Constitutive Parametrization. W<strong>in</strong>d Energy 2005;<br />

8:109–124.<br />

Mishnaevsky, L., Brøndsted, P., Nijssen, R., Lekou, D. and Philippidis,<br />

T. Materials of large w<strong>in</strong>d turb<strong>in</strong>e blades: recent results <strong>in</strong> test<strong>in</strong>g and<br />

model<strong>in</strong>g. W<strong>in</strong>d Energy 2011.<br />

Morovvati MR. Buckl<strong>in</strong>g of Generally Anisotropic Sandwich Shells.<br />

American Society of Composites 26th Annual Technical Conference<br />

2011, 1143.<br />

Narita Y, Leissa AW. Buckl<strong>in</strong>g studies for simply supported<br />

symmetrically lam<strong>in</strong>ated rectangular plates. Int. J. Mech. Science 1990,<br />

Volume 32, No. 11, 909-924.<br />

Nemeth MP. Buckl<strong>in</strong>g Behavior of Long Anisotropic Plates Subjected<br />

to Comb<strong>in</strong>ed Loads. National Aeronautics and Space Adm<strong>in</strong>istration<br />

Langley Research Center 1995, 1-37.<br />

Nemeth MP. Buckl<strong>in</strong>g of long compression-loaded anisotropic plates<br />

restra<strong>in</strong>ed aga<strong>in</strong>st <strong>in</strong>plane lateral and shear de<strong>form</strong>ations. Th<strong>in</strong>-Walled<br />

Structures 2004. Volume 42 639–685.<br />

Roczek A. Optimization of trail<strong>in</strong>g edge sandwich panels for a w<strong>in</strong>d<br />

turb<strong>in</strong>e blade. 9th International Conference on Sandwich Structures<br />

2010.<br />

Toubia EA. Web buckl<strong>in</strong>g behavior under <strong>in</strong>-plane compression and<br />

shear loads for web re<strong>in</strong>forced composite sandwich core, Ph.D.<br />

dissertation, University of Dayton 2008, available at:<br />

V<strong>in</strong>son JR. The behavior of sandwich structures of isotropic and<br />

composite materials. TECHNOMIC <strong>Publish</strong><strong>in</strong>g Company, Inc 1999.<br />

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Response for Symmetrically Lam<strong>in</strong>ated Composite Plates. Journal of<br />

Eng<strong>in</strong>eer<strong>in</strong>g Mechanics 2007, 1178-1191<br />

Table 1: Candidate Material Properties<br />

Face/Core E 1 E 2 E 3 ν 12 ν 13 ν 23 G 12 G 13 (G 1 ) G 23 (G 2 )<br />

MPa MPa MPa MPa MPa Mpa<br />

E_TLX 5500 21400 10000 0.4 6000 3740 3740<br />

(face sheet)<br />

M1 50 50 50 0.33 0.22 0.1 20 20 20<br />

M2 100 100 100 0.2 0.2 0.2 30 50 50<br />

M3 284 250 210 0.39 0.25 0 146 108 72<br />

M4 400 400 400 0.2 0.2 0.2 250 250 250<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 14

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