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TEETERING                                                              349


                 times the yaw moment due to out-of-plane load. As e is typically about one tenth
                 of the tip radius, it is seen that the yaw moments due to in-plane loads are at
                 least an order of magnitude smaller than those due to out-of-plane moments, so
                 that the introduction of the teeter hinge results in a very significant reduction.

             (e) Tower. The fatigue loadings due to the M Y moment and M Z torque will clearly
                be significantly reduced at the top of the tower if the rotor is teetered, but the
                effect will be negligible towards the base where thrust loads dominate the
                moments.


             6.6.2  Limitation of large excursions

             Some limitation on teeter excursions has to be provided, if only to prevent collision
             between the blade and the tower. If the teeter hinge is located close to the axis of the
             blades, with the low-speed shaft passing through an aperture in the wall of the hub
             shell (see Figure 6.6), then the maximum teeter excursion is governed by the size of
             the aperture.
               The teeter response to deterministic and stochastic loads is considered in Section
             5.8.8. Although it is evident that a permitted teeter angle range of the order of  58
             will accommodate the vast majority of teeter excursions during normal operation, it
             is usually impracticable to accommodate the largest that can occur. Hence, in order
             to minimize the occurrence of metal-to-metal impacts on the teeter end stops,
             buffers incorporating spring and/or damping elements normally have to be fitted.
             These also perform an important role in limiting the much larger teeter excursions
             that would otherwise arise during start-up and shut-down, when the centrifugal
             restoring moment is reduced.



             6.6.3  Pitch–teeter coupling

             As described in Section 5.8.8, the magnitude of teeter excursions can be reduced by
             coupling blade pitch to teeter angle, in order to generate an aerodynamic restoring
             moment proportional to the teeter angle. This can be done simply by setting the
             teeter hinge at an angle, known as the Delta 3 angle, to the perpendicular to the
             rotor axis. Alternatively, on pitch-controlled machines, pitch–teeter coupling can be
             introduced by actuating the blade pitch by the fore-aft motion of a rod passing
             through a hollow low-speed shaft (see Figure 6.6).


             6.6.4  Teeter stability on stall-regulated machines

             At first sight, it might be thought that the teeter motion of a stalled rotor would be
             unstable because of negative damping resulting from the negative slope of the C l –Æ
             curve post-stall. However, two-dimensional aerodynamic theory is a poor predictor
             of post-stall behaviour, and it has proved possible to design teetered rotors that are
             stable in practice, such as the Gamma 60 (Falchetta et al., 1996) and Nordic 1000
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