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Wind Turbine Blade optimization
         and Advanced Fatigue analysis

SAMTECH Ibérica:
José Luis Sánchez, Paul Bonnet, Andreas Heege


Owens Corning, Composite Solutions Business
Georg Adolphs, Paul Lucas
Goals

1. Assessment of the cost savings achieved thanks to
   the use of the Ultrablade® Fabrics UD material
   instead of the Advantex® UD material by optimizing
   the distribution and number of UD plies and by
   comparing the blade’s behavior in terms of stiffness,
   strength and fatigue


2. Development of a fatigue method that allows counting
   the cycles of stress / strain directly in the Wind
   Turbine mechatronic model by avoiding the use of
   further time consuming and uncoupled local fatigue
   analysis (linear superposition, modal superposition,
   random fatigue)
                                                  www.nafems.org
Tasks Index

1. Blade Aerodynamic surfaces creation

2. Adv.-Blade and Ultra.-Blade detailed parametric
   FEM creation and optimization

3. Wind Turbine Mechatronic model creation and
   blade integration

4. Intra-laminar fatigue analyses according to the
   proposed coupled fatigue method and the GL and
   DNV Goodman diagrams

5. Conclusions



                                           www.nafems.org
Aerodynamic Geometry


2D Aerodynamic Airfoils




                                  www.nafems.org
Aerodynamic Geometry
                                  Blade Length [m]




                                                     Chord length
                                                     distribution
Chord Length [m]




                       Z


                   Y




                                                             www.nafems.org
Aerodynamic Geometry
                              Blade Length [m]




                            Wind
Thickness [m]




                    Z


                X


                Thickness distribution



                                                 www.nafems.org
Aerodynamic Geometry
                              Blade Length [m]




                                                 X


                                                     Y
Twist angle [º]




                                                          Wind

                  Twist distribution


                                                         www.nafems.org
Aerodynamic Geometry
                                                         Blade Length [m]




                                                  Wind
Distance with respect to pitch axis [m]




                                              Z


                                          X

                                                                            Pre-bend
                                                                            distribution


                                                                                       www.nafems.org
FEM creation and optimization
                                                                                       A1, A2, from
                                                                                       1m to max.
                                                                                          chord
                                                                                                      A1, A2, from
                                                                                                      max. chord to
                                                                                                        39.5 m




                                                        B1, B2, from
                                                        1m to max.
                                                           chord
                                                                       B1, B2, from
Triax 1   Triax 2    UD       PM45    FOAM   Adhesive                  max. chord
                                                                        to 39.5 m
                                                                                      C1,C2, D1,D2
               A1                C1                                                    from 1m to
                                                B1
                                                                                       max. chord       C1,C2,
D1
                                                                                                      D1,D2 from
                                                                                                      max. chord
                          G
                                                                                                       to 39.5 m
                                                B2
                                                         E1 – E2

                                      C2
                                                                            F             G

                      A2
     D2
                                                                                            www.nafems.org
FEM creation and optimization
                                                                                               2 PLIES OF TRIAX

                                                                                              FROM 60 TO 1 PLY OF TRIAX




                                   stacking laws showing variations of #2 and #3 laminates.
                                                                                                n Plies of UD (NPMAX_1 parameter)


                                                                                                  LA1                       LB1
                                                                                                   FOAM (max. thickness = 15mm)



                                                                                                n Plies of UD (NPMAX_3 parameter)


                                                                                               LA3                LB3
                                                                                                     2 PLIES OF TRIAX
          A1        C1
                              B1                                                                 1 PLY OF ADHESIVE
D1

                G
                              B2                                                                         2 PLIES OF PM45


                         C2


               A2
     D2                                                                                                       Span length
                                                                                                                                    www.nafems.org
FEM creation and optimization
                                                                                                 Automatic Optimization in BOSS QUATTRO
                                                              2 PLIES OF TRIAX
                                                                                                 Objective = Mass Reduction
stacking laws showing variations of #2 and #3 laminates.




                                                           FROM 60 TO 1 PLY OF TRIAX
                                                                                                 Constraints = 1st Flap & 1st Edge frequencies
                                                             n Plies of UD (NPMAX_1 parameter)   have to remain the same as for the baseline
                                                                                                 Parameters:
                                                               LA1                   LB1
                                                                 FOAM (max. thickness = 15mm)    LA1: length where number of sparcap UD plies
                                                                                                 (zones A1-A2) increases from 0 to max.
                                                             n Plies of UD (NPMAX_3 parameter)
                                                                                                 LB1: length where number of sparcap UD plies
                                                             LA3              LB3                (zones A1-A2) decreases from max. to 0.
                                                                   2 PLIES OF TRIAX              NPMAX_1: max. number of sparcap UD plies
                                                                                                 (zones A1-A2)
                                                               1 PLY OF ADHESIVE
                                                                                                 LA3: length where number of trailing-edge UD
                                                                                                 plies (zones B1-B2) increase from 0 to max.
                                                                      2 PLIES OF PM45
                                                                                                 LB3: length where number of trailing-edge UD
                                                                                                 plies (zones B1-B2) decrease from max. to 0.
                                                                                                 NPMAX_3: max. number of trailing-edge UD
                                                                                                 plies (zones B1-B2)
                                                                     Span length

                                                                                                                                   www.nafems.org
FEM creation and optimization




                                www.nafems.org
FEM creation and optimization
   ULTRA.-BLADE                 ULTRA.-BLADE
Spar-Cap stacking laws   Trailing-Edge stacking laws




                                            www.nafems.org
FEM creation and optimization
ULTRA.-BLADE: Objective and constraints variation during iterations




                                                              www.nafems.org
WT Mechatronic model &
                  Blade integration



                           Gravity


Aerodynamic
loads
Using BEM
Theory




                                       www.nafems.org
GE25 GEN1 High Fidelity Mod
        WT Mechatronic modelof&        Number Nodes
                                          BUSHING
      Number of elements Type : 75 81              Number of elements Type :
                    Blade integrationof Elements
                                          Elements
                                      Number

                                                                                       HINGE
      Number of elements Type : Number of elements Type : Rigid Bodies
                                78     25                 72      41     Number of elements Type :
                                                                                      Elements



                                                             DAMPER                     DIST
      Number of elements Type : Number of elements Type :
                                108     9                   74     1     Number of elements Type :
                                                             Elements                 Elements

FEM
                                                               GEAR                   BUSHING
      Number of elements Type : Number of elements Type :
                                113    15                   75     81    Number of elements Type :
                                                             Elements                 Elements



                    Number of Degrees of Freedom
                                Number of elements Type :   78
                                                                    MBS
                                                                   25                Rigid Bodies




                                                                                      DAMPER
                                Number of elements Type : 108      9
                                                                                      Elements

                             Control
                                                                                     GEAR
                                                                              www.nafems.org
                                Number of elements Type : 113      15
WT Mechatronic model &
    Blade integration

             Samcef for Wind Turbines (S4WT)
                     mechatronic model
             Gravity




                                 www.nafems.org
WT Mechatronic model &
    Blade integration




                         www.nafems.org
WT Mechatronic model &
                          Blade integration
                   n Master nodes


                                                        Slave & master nodes are linked through
                                                            «weighted constraint equation»:

                                                                 Φ=∑ αi (Umaster_i - Uslave) =0
1 Slave node


    The individual «constraint factors»:

               αi (Umaster_i - Uslave)        αi (Umaster_i - Uslave)

  correspond ideally to the «real» pressure
     distribution of the outer blade skin




                                                                    The resulting blade stress
                                                                distribution is strongly depended
                                                                 on the choice of the weights αi




                                                                                          www.nafems.org
WT Mechatronic model &
                         Blade integration
                                             Reverse engineering AEROMAPPING procedure




         EXTRADOS



Pressure [KPa]
                 3    1.7   0.4   -0.9     -2.2   -3.5   -4.8   -6.1   -7.4   -8.7   -10


         INTRADOS


                                         AEROMAPPING: Blade pressure field
                                                                               www.nafems.org
WT Mechatronic model &
     Blade integration


TSAI-WU DISTRIBUTION
     Aeromapping




                               TSAI-WU DISTRIBUTION
                               15 discrete aerodynamic




         Differences lower than 10%
                                                         www.nafems.org
Intra-laminar Fatigue analysis




                                 www.nafems.org
Intra-laminar Fatigue analysis




                                         0 [DGS]
                                                              Rotation
                                                              direction


           -90 [DGS]

                                                   90 [DGS]

                                                                           Z
                             180 [DGS]




Hot Spot identification by
     SE restitutions                               Y
                                                                  WT Ref. Axis

                                                              www.nafems.org
Intra-laminar Fatigue analysis
                         Strain along fibre direction – E11 [MPa]


           -0.26   -0.208 -0.156 -0.104   -0.052   0   0.052   0.104   0.156   0.208   0.26




                                                                                 Max.
Max.
                                                                                 Compression
Traction
                                                                                  Extrados
Intrados                  0,26831587                                              UD hot spot
UD hot spot




                                                                                  www.nafems.org
Intra-laminar Fatigue analysis


        Spar Cap hot spots Lamination Layout


                 PLIES OF TRIAX
                                                                                          Super-Element
                                                                                          Retained nodes

                  PLIES OF UD                                                                     Hub
                                                                                          1
                                                                                                  connection

                                                                                                  Aerodynamic
                PLIES OF TRIAX                                                          2 – 16    loads
                                                                                                  connection
                                                   Hot
                PLY OF ADHESIVE
                                                   Spot
                 PLIES OF PM45
                                                                        Lamination Direction


          Super-Element + hot spots

                                                                                                    15     16
                                                              10   11      12      13      14
1   2       3        4       5        6        7      8   9




                                                                                               www.nafems.org
Intra-laminar Fatigue analysis



                                                         PLIES OF TRIAX

              Stiffest Ply
              UD 3202001


                                                          PLIES OF UD
       UD 3202016

                              Most External Ply
                               TRIAX 1002001
                                                         PLIES OF TRIAX


                                                        PLY OF ADHESIVE
                                        TRIAX 4002002
          Most Internal Ply                              PLIES OF PM45
           PM45 6002002

      Softest Ply
   ADHESIVE 5002001




                                                        www.nafems.org
Intra-laminar Fatigue analysis




                                 www.nafems.org
Intra-laminar Fatigue analysis




                                 www.nafems.org
Intra-laminar Fatigue analysis




                                 www.nafems.org
Conclusions
                      UD MATERIALS COMPARISON
1.COST SAVINGS: Thanks to the higher stiffness and lower density of the Ultrablade®
Fabrics material the Ultra.-Blade is lighter than the Adv.-Blade. In addition, the cost savings
achieved by using the Ultrablade® Fabrics material are higher than 17%.
2.LOADS REDUCTION: Thanks to this weight reduction, the loads on other components are
also reduced
3.BLADE TIP DEFLECTION: Due to the weight optimization performed, the Ultra.-Blade is
softer than the Adv.-Blade, thus also this blade shows the maximum tip deflection. However,
according to the GL and DNV certification guidelines it is still acceptable and no crashes
between the blade and the tower are expected
4.STRENGHT ANALYSIS: The Ultra.-Blade shows higher stress level than the Adv.-Blade.
But due to the fact that the ultimate strength of the Ultrablade® Fabrics material is higher than
those of the Advantex® material, the calculated safety factors for both Blades are similar.
Moreover, according to the GL and DNV certification guidelines, both blades fulfill the
requirements in terms of strength and buckling analyses
5.FATIGUE ANALYSIS: Although the alternating stress level on the Ultra.-Blade are higher
than those calculated on the Adv.-Blade, the hot-spots accumulated damage are similar for
both blades, since the traction and compression static ultimate strength, the fatigue strength
for 1cycle and the SN slope of the Ultrablade® Fabrics material are higher than those of the
Advantex® Material. According to the GL and DNV certification guidelines, a life higher than
20 years is expected for both blades
                                                                                  www.nafems.org
Conclusions
                               FATIGUE METHOD
ADVANTADGES
1. Thanks to the fatigue method developed in this work, it is possible to compute directly
   from the mechatronic wind turbine model the cycles of intra-laminar stress / strain.
   Therefore further time consuming local fatigue analysis based on the linear superposition
   of transient signals and unitary loads can be avoided.
2. As the counting of intra-laminar stress / strain cycles is performed directly in the non-
   linear mechatronic wind turbine model where all the physical phenomena and
   components interact through strong couplings, it is expected that the calculated damage
   by using such method are more realistic than those obtained from the local uncoupled
   fatigue approaches.

DRAWBACKS:
1. The hot spots have to be identified beforehand
2. Currently the method is limited to a few number of hot spots




                                                                              www.nafems.org
Thank you very much
  for your attention
                   www.nafems.org

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Ib Nafems Samtech Blade Optimization & Advanced Fatigue Analysis

  • 1. Wind Turbine Blade optimization and Advanced Fatigue analysis SAMTECH Ibérica: José Luis Sánchez, Paul Bonnet, Andreas Heege Owens Corning, Composite Solutions Business Georg Adolphs, Paul Lucas
  • 2. Goals 1. Assessment of the cost savings achieved thanks to the use of the Ultrablade® Fabrics UD material instead of the Advantex® UD material by optimizing the distribution and number of UD plies and by comparing the blade’s behavior in terms of stiffness, strength and fatigue 2. Development of a fatigue method that allows counting the cycles of stress / strain directly in the Wind Turbine mechatronic model by avoiding the use of further time consuming and uncoupled local fatigue analysis (linear superposition, modal superposition, random fatigue) www.nafems.org
  • 3. Tasks Index 1. Blade Aerodynamic surfaces creation 2. Adv.-Blade and Ultra.-Blade detailed parametric FEM creation and optimization 3. Wind Turbine Mechatronic model creation and blade integration 4. Intra-laminar fatigue analyses according to the proposed coupled fatigue method and the GL and DNV Goodman diagrams 5. Conclusions www.nafems.org
  • 4. Aerodynamic Geometry 2D Aerodynamic Airfoils www.nafems.org
  • 5. Aerodynamic Geometry Blade Length [m] Chord length distribution Chord Length [m] Z Y www.nafems.org
  • 6. Aerodynamic Geometry Blade Length [m] Wind Thickness [m] Z X Thickness distribution www.nafems.org
  • 7. Aerodynamic Geometry Blade Length [m] X Y Twist angle [º] Wind Twist distribution www.nafems.org
  • 8. Aerodynamic Geometry Blade Length [m] Wind Distance with respect to pitch axis [m] Z X Pre-bend distribution www.nafems.org
  • 9. FEM creation and optimization A1, A2, from 1m to max. chord A1, A2, from max. chord to 39.5 m B1, B2, from 1m to max. chord B1, B2, from Triax 1 Triax 2 UD PM45 FOAM Adhesive max. chord to 39.5 m C1,C2, D1,D2 A1 C1 from 1m to B1 max. chord C1,C2, D1 D1,D2 from max. chord G to 39.5 m B2 E1 – E2 C2 F G A2 D2 www.nafems.org
  • 10. FEM creation and optimization 2 PLIES OF TRIAX FROM 60 TO 1 PLY OF TRIAX stacking laws showing variations of #2 and #3 laminates. n Plies of UD (NPMAX_1 parameter) LA1 LB1 FOAM (max. thickness = 15mm) n Plies of UD (NPMAX_3 parameter) LA3 LB3 2 PLIES OF TRIAX A1 C1 B1 1 PLY OF ADHESIVE D1 G B2 2 PLIES OF PM45 C2 A2 D2 Span length www.nafems.org
  • 11. FEM creation and optimization Automatic Optimization in BOSS QUATTRO 2 PLIES OF TRIAX Objective = Mass Reduction stacking laws showing variations of #2 and #3 laminates. FROM 60 TO 1 PLY OF TRIAX Constraints = 1st Flap & 1st Edge frequencies n Plies of UD (NPMAX_1 parameter) have to remain the same as for the baseline Parameters: LA1 LB1 FOAM (max. thickness = 15mm) LA1: length where number of sparcap UD plies (zones A1-A2) increases from 0 to max. n Plies of UD (NPMAX_3 parameter) LB1: length where number of sparcap UD plies LA3 LB3 (zones A1-A2) decreases from max. to 0. 2 PLIES OF TRIAX NPMAX_1: max. number of sparcap UD plies (zones A1-A2) 1 PLY OF ADHESIVE LA3: length where number of trailing-edge UD plies (zones B1-B2) increase from 0 to max. 2 PLIES OF PM45 LB3: length where number of trailing-edge UD plies (zones B1-B2) decrease from max. to 0. NPMAX_3: max. number of trailing-edge UD plies (zones B1-B2) Span length www.nafems.org
  • 12. FEM creation and optimization www.nafems.org
  • 13. FEM creation and optimization ULTRA.-BLADE ULTRA.-BLADE Spar-Cap stacking laws Trailing-Edge stacking laws www.nafems.org
  • 14. FEM creation and optimization ULTRA.-BLADE: Objective and constraints variation during iterations www.nafems.org
  • 15. WT Mechatronic model & Blade integration Gravity Aerodynamic loads Using BEM Theory www.nafems.org
  • 16. GE25 GEN1 High Fidelity Mod WT Mechatronic modelof& Number Nodes BUSHING Number of elements Type : 75 81 Number of elements Type : Blade integrationof Elements Elements Number HINGE Number of elements Type : Number of elements Type : Rigid Bodies 78 25 72 41 Number of elements Type : Elements DAMPER DIST Number of elements Type : Number of elements Type : 108 9 74 1 Number of elements Type : Elements Elements FEM GEAR BUSHING Number of elements Type : Number of elements Type : 113 15 75 81 Number of elements Type : Elements Elements Number of Degrees of Freedom Number of elements Type : 78 MBS 25 Rigid Bodies DAMPER Number of elements Type : 108 9 Elements Control GEAR www.nafems.org Number of elements Type : 113 15
  • 17. WT Mechatronic model & Blade integration Samcef for Wind Turbines (S4WT) mechatronic model Gravity www.nafems.org
  • 18. WT Mechatronic model & Blade integration www.nafems.org
  • 19. WT Mechatronic model & Blade integration n Master nodes Slave & master nodes are linked through «weighted constraint equation»: Φ=∑ αi (Umaster_i - Uslave) =0 1 Slave node The individual «constraint factors»: αi (Umaster_i - Uslave) αi (Umaster_i - Uslave) correspond ideally to the «real» pressure distribution of the outer blade skin The resulting blade stress distribution is strongly depended on the choice of the weights αi www.nafems.org
  • 20. WT Mechatronic model & Blade integration Reverse engineering AEROMAPPING procedure EXTRADOS Pressure [KPa] 3 1.7 0.4 -0.9 -2.2 -3.5 -4.8 -6.1 -7.4 -8.7 -10 INTRADOS AEROMAPPING: Blade pressure field www.nafems.org
  • 21. WT Mechatronic model & Blade integration TSAI-WU DISTRIBUTION Aeromapping TSAI-WU DISTRIBUTION 15 discrete aerodynamic Differences lower than 10% www.nafems.org
  • 23. Intra-laminar Fatigue analysis 0 [DGS] Rotation direction -90 [DGS] 90 [DGS] Z 180 [DGS] Hot Spot identification by SE restitutions Y WT Ref. Axis www.nafems.org
  • 24. Intra-laminar Fatigue analysis Strain along fibre direction – E11 [MPa] -0.26 -0.208 -0.156 -0.104 -0.052 0 0.052 0.104 0.156 0.208 0.26 Max. Max. Compression Traction Extrados Intrados 0,26831587 UD hot spot UD hot spot www.nafems.org
  • 25. Intra-laminar Fatigue analysis Spar Cap hot spots Lamination Layout PLIES OF TRIAX Super-Element Retained nodes PLIES OF UD Hub 1 connection Aerodynamic PLIES OF TRIAX 2 – 16 loads connection Hot PLY OF ADHESIVE Spot PLIES OF PM45 Lamination Direction Super-Element + hot spots 15 16 10 11 12 13 14 1 2 3 4 5 6 7 8 9 www.nafems.org
  • 26. Intra-laminar Fatigue analysis PLIES OF TRIAX Stiffest Ply UD 3202001 PLIES OF UD UD 3202016 Most External Ply TRIAX 1002001 PLIES OF TRIAX PLY OF ADHESIVE TRIAX 4002002 Most Internal Ply PLIES OF PM45 PM45 6002002 Softest Ply ADHESIVE 5002001 www.nafems.org
  • 30. Conclusions UD MATERIALS COMPARISON 1.COST SAVINGS: Thanks to the higher stiffness and lower density of the Ultrablade® Fabrics material the Ultra.-Blade is lighter than the Adv.-Blade. In addition, the cost savings achieved by using the Ultrablade® Fabrics material are higher than 17%. 2.LOADS REDUCTION: Thanks to this weight reduction, the loads on other components are also reduced 3.BLADE TIP DEFLECTION: Due to the weight optimization performed, the Ultra.-Blade is softer than the Adv.-Blade, thus also this blade shows the maximum tip deflection. However, according to the GL and DNV certification guidelines it is still acceptable and no crashes between the blade and the tower are expected 4.STRENGHT ANALYSIS: The Ultra.-Blade shows higher stress level than the Adv.-Blade. But due to the fact that the ultimate strength of the Ultrablade® Fabrics material is higher than those of the Advantex® material, the calculated safety factors for both Blades are similar. Moreover, according to the GL and DNV certification guidelines, both blades fulfill the requirements in terms of strength and buckling analyses 5.FATIGUE ANALYSIS: Although the alternating stress level on the Ultra.-Blade are higher than those calculated on the Adv.-Blade, the hot-spots accumulated damage are similar for both blades, since the traction and compression static ultimate strength, the fatigue strength for 1cycle and the SN slope of the Ultrablade® Fabrics material are higher than those of the Advantex® Material. According to the GL and DNV certification guidelines, a life higher than 20 years is expected for both blades www.nafems.org
  • 31. Conclusions FATIGUE METHOD ADVANTADGES 1. Thanks to the fatigue method developed in this work, it is possible to compute directly from the mechatronic wind turbine model the cycles of intra-laminar stress / strain. Therefore further time consuming local fatigue analysis based on the linear superposition of transient signals and unitary loads can be avoided. 2. As the counting of intra-laminar stress / strain cycles is performed directly in the non- linear mechatronic wind turbine model where all the physical phenomena and components interact through strong couplings, it is expected that the calculated damage by using such method are more realistic than those obtained from the local uncoupled fatigue approaches. DRAWBACKS: 1. The hot spots have to be identified beforehand 2. Currently the method is limited to a few number of hot spots www.nafems.org
  • 32. Thank you very much for your attention www.nafems.org