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294 P. Schaumann and F. Wilke<br />

analysed joints and loads, only strains and stresses normal to the weld toe<br />

are taken into account (critical plane approach).<br />

As a benefit of both local concepts fatigue design can be carried out uncoupled<br />

from the standard S–N curves for given structural details and the<br />

application to any local weld geometry is possible. At the same time the<br />

number of influencing parameters increases which is shown in the following<br />

chapter.<br />

54.3 Comparison of Fatigue Design for a Tripod<br />

The bottom part of the reference structure and the most important data are<br />

shown in Fig. 54.1. For the scatter diagram of the chosen Baltic Sea location<br />

see [1]. The relatively small turbine leads to dominating fatigue damage from<br />

wave loading.<br />

Figure 54.2 shows the resulting member S–N curve for a fictitious pulsating<br />

nominal stress in one brace of the top tripod node. According to [5] three<br />

different engineering approaches for the notch strain concept have been applied<br />

(1. Heat-affected zone material without residual stresses and R = −1; 2.<br />

heat-affected zone material with R = 0; 3. base material (BM) with residual<br />

stresses in the order of the yield strength and R = −1). The notch stress curve<br />

has been shifted to a probability of failure Pf= 50% (γ=1.38) to provide a<br />

basis for comparison with the results obtained through the use of the UML.<br />

In high cycle regions beyond N =2×10 6 , interesting for offshore structures,<br />

the compliance is acceptable. This leads to the conclusion that the notch<br />

stress approach seems to provide cycles up to crack initiation for high plate<br />

thicknesses and notch dominated problems. Figure 54.2 also shows an obvious<br />

handicap of the notch strain approach. Besides the usual scatter in the local<br />

weld geometry it is hard to determine the parameters which govern the design<br />

without experiments. Because of the higher robustness regarding the influencing<br />

parameters the notch stress approach (NSA) is used for further parametric<br />

studies.<br />

Figure 54.3 (left) shows the comparison of cycles to failure for a sinusoidal<br />

pressure of 5 N mm −2 on one brace of the top tripod node for a large variety<br />

Water depth: 25 m<br />

Hub height: 80 m<br />

Turbine mass: 100 t<br />

Main tube diam.: 4000 mm<br />

Diam. of diagonals: 2000 mm<br />

Angle of diagonals: 458<br />

max t: 80 mm<br />

Material: S 355<br />

Fig. 54.1. Bottom part of the reference tripod

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