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NUI Galway – UL Alliance First Annual ENGINEERING AND - ARAN ...

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Fatigue Life of GFRP Tidal Turbine Blades<br />

C. R. Kennedy, C. M. Ó Brádaigh, S. B. Leen<br />

Mechanical and Biomedical Engineering, National University of Ireland, <strong>Galway</strong><br />

c.kennedy8@nuigalway.ie<br />

Abstract<br />

A fatigue life prediction methodology for ocean<br />

energy structures is presented. Starting with a tidal<br />

velocity model, the maximum strains in a tidal turbine<br />

blade are predicted. This is then compared to fatigue<br />

test results via a fatigue model, to give a blade life<br />

prediction. The effect of R ratio and matrix material is<br />

investigated and both are found to have significant<br />

effects on the predicted fatigue life.<br />

Introduction<br />

Glass-fibre reinforced polymers (GFRP) are<br />

candidate low cost materials for use in ocean energy<br />

structures. Quasi-isotropic (QI) laminates are useful<br />

where (i) the loads are not very well understood, or (ii)<br />

the loads are complex and multi-directional in nature.<br />

The fatigue of QI laminates is investigated as part of<br />

research investigating the fatigue behaviour of GFRP<br />

laminates while immersed in seawater.<br />

Methodology<br />

The flowchart shown in Figure 1 depicts the<br />

methodology proposed here to estimate the fatigue life<br />

of a tidal turbine blade.<br />

Fig 1. Flowchart of fatigue life methodology<br />

The tidal velocity is approximated by a combination<br />

of two sinusoids one that accounts for the twice daily<br />

tides and a second that models the 14 day spring-neap<br />

cycle[1].<br />

A hydrodynamic model (stream tube momentum)<br />

then converts that tidal velocity into loads on the tidal<br />

turbine blade and recommends chord lengths and angles<br />

of twist for the blade. A finite element model (e.g. Fig.<br />

172<br />

2) of a 5m blade is constructed in the ABAQUS<br />

software program using these design recommendations.<br />

Fig. 2 Deflected shape of blade at maximum load<br />

Following practice in the wind turbine blade<br />

industry[2] a box section spar with thick laminates is<br />

used as the main structure of the blade with lighter<br />

laminates used for the nose and tail fairings. Loads<br />

corresponding to the maximum expected tidal velocity<br />

are applied to the FE model of the blade and<br />

representative strains are extracted.<br />

A series of fatigue tests has established a Strain/Life<br />

curve for both Vinyl Ester/E-Glass and Epoxy/E-glass<br />

quasi-isotropic laminates. This information is used in<br />

the fatigue model to estimate the life of the turbine<br />

blade under the assumed load regime. The 7 day<br />

repeating pattern in the tides is relatively short and<br />

allows explicit modelling of each rotation of the tidal<br />

turbine as a fatigue cycle. Tower "shadow" is assumed<br />

to cause unloading of the blade on each cycle. Both the<br />

case where it becomes completely unloaded (R = 0.1)<br />

and where it is 50% unloaded (R = 0.5) are considered.<br />

Results<br />

The combination of relatively flat -N curve for the<br />

material and the cyclic load spectrum modelled here<br />

leads to a high degree of sensitivity of predicted fatigue<br />

life to predicted strain level. Just 13% (epoxy) or 16%<br />

(vinyl ester) increase in strain levels will decrease life<br />

from 20 to 5 years. A detrimental effect of decreasing<br />

R-ratio is established from the fatigue test programme<br />

and associated combined structural-hydrodynamic, tidal<br />

turbine analyses. Furthermore, the fatigue „strength‟ of<br />

the vinyl ester matrix laminates is shown to be 25%<br />

lower than that of the epoxy laminates.<br />

Future work<br />

Testing to establish the effect of long term water<br />

immersion on the fatigue life of these materials is<br />

ongoing. The methodology presented here will be used<br />

to assess the impact these effects will have on the<br />

fatigue life of tidal turbine blades.<br />

References<br />

[1] F. O Rourke, F. Boyle, and A. Reynolds, “Tidal energy<br />

update 2009,” Applied Energy, vol. 87, no. 2, pp. 398-<br />

409, Feb. 2010.<br />

[2] C. W. Kensche, “Fatigue of composites for wind<br />

turbines,” International Journal of Fatigue, vol. 28, no.<br />

10, pp. 1363-1374, Oct. 2006.

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