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Fatigue damage estimation along vessel ’ s voyages Chalmers University of Technology Wengang Mao Igor Rychlik.

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Presentation on theme: "Fatigue damage estimation along vessel ’ s voyages Chalmers University of Technology Wengang Mao Igor Rychlik."— Presentation transcript:

1 Fatigue damage estimation along vessel ’ s voyages Chalmers University of Technology Wengang Mao Igor Rychlik

2 6/27/2015Smögen Workshop (2008-08)2 Outline  Background and motivation  Fatigue model in terms of Hs  Application of the fatigue model  Conclusions

3 6/27/2015Smögen Workshop (2008-08)3 1.1, Background Vessel construction period Loading period Shipping period 1, Vessel’s fatigue location 2, Loading condition 3, Shipping condition 4, Encountered sea states

4 6/27/2015Smögen Workshop (2008-08)4 How to estimate vessel’s fatigue damage 1.1, Background Rain-flow counting method (“correct” fatigue estimation) Narrow bound approximation (NBA) Theoretical method based on NBA

5 6/27/2015Smögen Workshop (2008-08)5 1.1, Background Vessel’s response process is correlated with its encountered sea states (5/30 min stationary?)

6 6/27/2015Smögen Workshop (2008-08)6  30 minutes’ stationary process check  Rain-flow based on the whole voyage signal  Rain-flow based on 5 minutes’ signal  Rain-flow based on 30 minutes’ signal 1.1, Background Method/Voyagevoy080106voy080129voy080218voy080603 RFC for voyage signal0.00952940.00623620.00460830.0008754 RFC for 5 min signal0.00934020.00613550.00451060.0008102 RFC for 30 min signal0.00932250.00610820.00449890.0008054

7 6/27/2015Smögen Workshop (2008-08)7 1.1, Background  Theoretical fatigue estimation Hydrodynamic RAO’s depends on heading angles and velocity  A i means stress caused by each applied load  H v – transfer function for vertical bending moment  H h – transfer function for horizontal bending moment  H t – transfer function for torsional bending moment

8 6/27/2015Smögen Workshop (2008-08)8 1.1, Background Linear wave model Directional wave spectrum Encountered sea states: Vessel’s response under encountered sea states

9 6/27/2015Smögen Workshop (2008-08)9  NBA for expected fatigue damage Response zero-crossing frequency Significant response height 1.1, Background

10 6/27/2015Smögen Workshop (2008-08)10  Measurement signal process X(t) Process zero-crossing frequency 1.1, Background Method based on the measured signal can be taken as the right fatigue criteria

11 6/27/2015Smögen Workshop (2008-08)11  Comparing among different methods 1.1, Background Method/Voyagevoy080106voy080129voy080218voy080603 Rain-flow method0.00800560.00565740.00445760.0007757 NBA estimation0.00904660.00664580.00514810.0009237 Theoretical method 0.0142810.0184520.00793140.0014033 Note: Rain-flow and NBA method based on measured signal, Standard method based on theoretical simulation.

12 6/27/2015Smögen Workshop (2008-08)12 1.2, Motivation—fatigue model of Hs Drawbacks of the two typical methods 1, Measured signal is seldom available 2, Theoretical RAO’s need more precision 3, RAO’s (FEM & Hydrodynamic software simulation) Main motivation 1, Compare different influence factors 2, Simply fatigue model (precise) only in terms of Hs 3, Check model’s validity

13 6/27/2015Smögen Workshop (2008-08)13 2, Fatigue model in terms of Hs  Response hs is very correlated with wave Hs,  Significant response height: 1, Relation between response and wave fixed wave Tz Severe sea states cause heavy stress response!!!

14 6/27/2015Smögen Workshop (2008-08)14 2, Fatigue model in terms of Hs Fixed wave Hs, its associate Tz from 4s to 12s has distribution f(t) Weighted arithmetic average C: Mean C:

15 6/27/2015Smögen Workshop (2008-08)15 2, Fatigue model in terms of Hs Significant response height hs observed vs from model Voyage namevoy080106voy080129voy080218voy080603 Constant C 18.417717.163920.164217.3098 1, Constant C works quite well for the model in left figure. 2, Constant C for these voyages around 19 3, C from measurement agrees well with theoretical value

16 6/27/2015Smögen Workshop (2008-08)16 2, Fatigue model in terms of Hs Assume zero-crossing wave period as: Hs 1.691.216.856.967.398.147.867.507.24 Tz (model) 6.736.3710.3210.7510.6610.5711.2210.8110.64 Tz (measure) 4.553.859.169.249.529.989.819.589.42 This model is ok for the large Hs, but not in the small Hs area 2, Response zero crossing frequency

17 6/27/2015Smögen Workshop (2008-08)17 2, Fatigue model in terms of Hs Ship’s response frequency should be corresponding to its encountered wave frequency Encountered wave frequency is also related with shipping velocity and heading angles Note: Here the frequency should be encountered wave frequency

18 6/27/2015Smögen Workshop (2008-08)18 Response zero up-crossing frequency observed vs simplified model with U0=9m/s, HDG=0 2, Fatigue model in terms of Hs

19 6/27/2015Smögen Workshop (2008-08)19 3, Application of the fatigue model 5 voyages from Europe to Canada 2 voyages from Canada to Europe 4 special voyages (strange relation between encountered sea states and response) Voyages between Atlantic ocean travelling in different seasons

20 6/27/2015Smögen Workshop (2008-08)20 Fatigue damage distribution along voy080106 from different estimation approaches 3, Application of the fatigue model

21 6/27/2015Smögen Workshop (2008-08)21 3, Application of the fatigue model Fatigue damage distribution of voyages from different estimation approaches

22 6/27/2015Smögen Workshop (2008-08)22 Rain-flow based on signal is “real” fatigue damage 5 and 30 minutes’ periods both assumed stationary 3, Application of the fatigue model Rain-flowNBA on signalNBA on Hs NBA on Hs C=19 Theoretical method voy080106 0.00800560.00904660.00921650.0101190.014281 voy080129 0.00565740.00664580.00642180.0087110.018452 voy080218 0.00445760.00514810.00593410.00496450.0079314 voy080603 0.000775690.000923730.00098770.00130620.0014033 voy080424 0.00272380.00340170.00386360.0035740.0054558

23 6/27/2015Smögen Workshop (2008-08)23 2 voyages from Canada to EU 3, Application of the fatigue model

24 6/27/2015Smögen Workshop (2008-08)24 Constant C and Fatigue damage accumulation 3, Application of the fatigue model Voyage namevoy080613voy080411 Constant C19.041519.0201 Rain-flow NBA on signal NBA on Hs Theoretic al method voy080613 0.00144490.00152050.00172290.0023782 voy080411 0.00245460.00266070.0027170.0043745

25 6/27/2015Smögen Workshop (2008-08)25 4 special voyages from Canada to EU 3, Application of the fatigue model

26 6/27/2015Smögen Workshop (2008-08)26 Constant C and Fatigue damage accumulation 3, Application of the fatigue model Voyage namevoy071018voy071030voy071106voy080117 Constant C9.366813.15146.678313.9028 Rain-flow NBA on signal NBA on Hs Theoretica l method voy0710180.00059670.000775170.00085420.0055091 voy0710300.00150340.0015660.00120960.0038603 voy0711060.000167250.000215620.00019310.0021606 voy0801170.00143360.00192910.00349430.0052134

27 6/27/2015Smögen Workshop (2008-08)27 4, Conclusions 1. Our fatigue estimation model works quite well, and its precision is much better than the theoretical method 2. For the fatigue estimation location of above vessel, the constant C keeps about 19 3. There are a lot of uncertainties in the model (hs, fz)… 4. Comparing to the other parameters, wave Hs is the most important factor of fatigue damage …(further work) 5. Need to check wave spectrum measurement by satellite wave model… 6. Put this model in shipping routing application…

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