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REFERENCES                                                             311


                               Table 5.8  Joint M X and M Y Cycle Distribution
                                            ˜M Y (kNm)
             ˜M X (kNm)             200–300   100–200   0–100      Total No. of M X cycles

             100–150                   5         5                        10
             50–100                             10       30               40
             0–50                                        50               50
             Total No. of M Y cycles   5        15       80


               For a circular tower, the stress ranges would have to be computed at several
             points around the circumference in order to identify the location (with respect to
             the nacelle axis) where the fatigue damage was maximum.
               A simpler but potentially cruder approach to the combination of the two fatigue
             spectra is to use the ‘Damage Equivalent Load’ method. This involves the calcula-
                                                                                7
             tion of constant amplitude fatigue loadings, M X:Del and M Y:Del , of, say 10 cycles
             each, that would respectively produce the same fatigue damages as the M X and M Y
             spectra, using the S=N curve appropriate to the fatigue detail under consideration.
             If the M X and M Y fluctuations are treated as being in-phase as before, the combined
                                                 ffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi
                                               p
             ‘Damage Equivalent Load’ moment is  M 2   þ M 2  .
                                                   X:Del   Y:Del

             References

             American Society of Civil Engineers, (1993). ASCE 7-93: Minimum design loads for buildings and
               other structures.
             Armstrong, J. R. C. and Hancock, M., (1991). ‘Feasibility study of teetered, stall-regulated
               rotors’ ETSU Report No. WN 6022.
             Batchelor, G. K., (1953). The theory of homogeneous turbulence. Cambridge University Press, UK.
             Bishop, N. W. M., Zhihua, H. and Sheratt, F., (1991). ‘The analysis of non-gaussian loadings
               from wind turbine blades using frequency domain techniques.’ Proceedings of the BWEA
               Conference, pp 317–323.
             Bishop, N. W. M., Wang, R. and Lack, L., (1995). ‘A frequency domain fatigue predictor for
               wind turbine blades including deterministic components.’ Proceedings of the BWEA
               Conference, pp 53–58.
             Bossanyi, E. A., (2000). ‘Bladed for Windows theory and user manuals’. 282/BR/009 and 282/
               BR/010. Garrad Hassan and Partners Ltd.
             British Standard Institution, (1972). ‘Code of basic data for the design of buildings’. CP3
               Chapter V, Part 2, Wind loads.
             British Standard Institution, (1980). BS 5400: Part 10: 1980 Steel, concrete and composite bridges –
               Code of practice for fatigue.
             British Standard Institution, (1986). BS 8100: Part 1: 1986 Lattice towers and masts – Code of
               practice for loading.’
             Clough, R. W. and Penzien, J., (1993). Dynamics of structures. McGraw Hill, New York, USA.
             Danish Standards, (1992). DS 472: Loads and Safety of Wind Turbine Construction.(First Edition).
             Danish Standards, (1983). DS 410: Loads for the design of structures.(Third Edition).
             Davenport, A. G., (1964). ‘Note on the distribution of the largest value of a random function
               with application to gust loading.’ Proc. Inst. Civ. Eng., 28, 187–196.
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