BY LARS EINAR S. STIENG AND MICHAEL MUSKULUS
FOR: "RELIABILITY-BASED DESIGN OPTIMIZATION OF OFFSHORE WIND TURBINE SUPPORT STRUCTURES USING ANALYTICAL SENSITIVITIES AND FACTORIZED UNCERTAINTY MODELING"
 
%iter_no      Diameters (first half) and thicknesses (last half) 
       0 6.0000000000 6.0000000000 6.0000000000 6.0000000000 6.0000000000 6.0000000000 0.0600000000 0.0600000000 0.0600000000 0.0600000000 0.0600000000 0.0600000000 
       1 5.9740639222 5.9736212089 5.9736503649 5.9736447546 5.9736322979 5.9736342571 0.0597402465 0.0597388623 0.0597385558 0.0597384529 0.0597384414 0.0597385288 
       2 5.8376994774 5.8348691358 5.8350206386 5.8349593809 5.8348618220 5.8348546817 0.0583755291 0.0583668206 0.0583647659 0.0583640152 0.0583638108 0.0583641905 
       3 5.6720418624 5.6660816932 5.6663624539 5.6662082469 5.6659873253 5.6659520708 0.0567157585 0.0566975684 0.0566931710 0.0566915061 0.0566909470 0.0566915452 
       4 5.5818448759 5.5737049983 5.5740232541 5.5737720826 5.5734446719 5.5733589068 0.0558083462 0.0557835772 0.0557775636 0.0557751528 0.0557741457 0.0557745641 
       5 5.4983996541 5.4862282013 5.4864180343 5.4858687982 5.4852645111 5.4849695852 0.0549532096 0.0549160495 0.0549072104 0.0549029913 0.0549003772 0.0548992126 
       6 5.4322261534 5.4017156052 5.4003919318 5.3978935126 5.3956064124 5.3938014824 0.0541559057 0.0540605769 0.0540395251 0.0540247416 0.0540109436 0.0539966770 
       7 5.4111159486 5.2219768268 5.2052268038 5.1841840397 5.1661656580 5.1499304021 0.0526919270 0.0520863015 0.0519599408 0.0518471498 0.0517268627 0.0515854079 
       8 5.4266533461 4.9878855749 4.9417861215 4.8877722336 4.8420032452 4.8004933548 0.0508204850 0.0493936057 0.0490834223 0.0488000529 0.0484940955 0.0481311441 
       9 5.4382403094 4.8711501033 4.8028906906 4.7285728278 4.6656608348 4.6087124878 0.0498289471 0.0479695442 0.0475364378 0.0471502172 0.0467318785 0.0462352344 
      10 5.4428738801 4.7989886621 4.6635193569 4.5636776926 4.4789316291 4.4022926651 0.0487595216 0.0466574339 0.0459332337 0.0454197154 0.0448601060 0.0441944221 
      11 5.4557958602 4.8311110812 4.6642448134 4.5592937062 4.4705102992 4.3900847042 0.0487681318 0.0467450065 0.0458991832 0.0453599886 0.0447731331 0.0440741158 
      12 5.5004601417 4.8695452819 4.4650859987 4.3379051564 4.2278203025 4.1289632059 0.0474274936 0.0456190913 0.0436677761 0.0430079596 0.0423089973 0.0414828419 
      13 5.5268244504 4.8959303452 4.3246073352 4.1748616692 4.0618356034 3.9608267797 0.0463980558 0.0448398921 0.0420159828 0.0412669187 0.0405923904 0.0398027030 
      14 5.5715308934 4.9264914948 4.2696585499 4.0593680822 3.9568301094 3.8650542653 0.0457321106 0.0443881378 0.0409776751 0.0400206492 0.0394684355 0.0388308686 
      15 5.6345703178 4.9637390220 4.3132388468 3.9562761912 3.8808549609 3.8115932247 0.0451584585 0.0440695908 0.0403576450 0.0388981735 0.0385974246 0.0382625056 
      16 5.7753531705 5.0557943234 4.4180651601 3.7700618006 3.7725305877 3.7675364087 0.0441964312 0.0436600773 0.0393475231 0.0369149737 0.0372743498 0.0377351130 
      17 5.8079733229 5.0766607360 4.4415579122 3.7448383676 3.7425597815 3.7764110390 0.0438792678 0.0435114261 0.0390626872 0.0365753698 0.0369983395 0.0377391826 
      18 5.9014396930 5.1307482071 4.5098764746 3.7471674567 3.6317546295 3.8588451122 0.0424910602 0.0427653768 0.0379600581 0.0359336405 0.0361869474 0.0381070808 
      19 6.2705302823 5.3206559435 4.7700687395 3.8790981824 3.1317183565 4.2619407719 0.0360626510 0.0391021377 0.0329570501 0.0338686262 0.0327662347 0.0399637481 
      20 6.2742388722 5.3153629148 4.7715107135 3.8895308899 3.1658378665 4.2668491313 0.0358640547 0.0389226312 0.0328156557 0.0338343706 0.0328355150 0.0399813000 
      21 6.3177265775 5.3328414010 4.8002294396 3.9038657553 3.1663380119 4.3074471030 0.0350154159 0.0383826293 0.0321588468 0.0335167184 0.0325928489 0.0401576081 
      22 6.4427726413 5.3824733968 4.9046170082 3.9440662126 3.1862765138 4.4301074182 0.0327457230 0.0369571054 0.0305612653 0.0323726185 0.0320701817 0.0411750049 
      23 6.5872735167 5.4304247549 5.0007310215 3.9862223066 3.2167211488 4.5580288386 0.0315355898 0.0361528085 0.0295899846 0.0316510924 0.0318923707 0.0423261617 
      24 6.6268873630 5.4445200631 5.0005456575 3.9773117473 3.2611242087 4.5435517409 0.0310786770 0.0357078291 0.0289012052 0.0315254167 0.0316598173 0.0416181367 
      25 6.7357004294 5.5009468469 5.1131882532 4.0023514576 3.3138601143 4.5963530530 0.0300586708 0.0349223059 0.0280207036 0.0311834995 0.0312726640 0.0413353019 
      26 7.2391498954 5.7459736726 5.5318618815 4.1202056985 3.5027101304 4.8771757548 0.0264168341 0.0319343607 0.0242320921 0.0297679488 0.0298129741 0.0410699497 
      27 7.5476126941 5.8940582521 5.7851664333 4.1922899504 3.5535154603 5.0744559159 0.0246228072 0.0305922978 0.0222550467 0.0288751603 0.0289241152 0.0415549326 
      28 8.4343505372 6.2919745230 6.5524085844 4.4105814313 3.6390839896 5.6849970127 0.0203850763 0.0273227607 0.0176208959 0.0262470690 0.0266467640 0.0442899642 
      29 8.3001190634 6.2304384698 6.4330101919 4.3754438842 3.6030140438 5.5793556394 0.0208818310 0.0278038786 0.0181534624 0.0266333311 0.0267423664 0.0435311739 
      30 8.2261637864 6.1900050212 6.3688626851 4.3625206229 3.5739704962 5.5180463689 0.0212386020 0.0282274160 0.0185185322 0.0268677990 0.0267078273 0.0430501604 
      31 8.2440847256 6.1837464838 6.3864345045 4.3753900097 3.5816757361 5.5168663571 0.0211994165 0.0283611629 0.0184577340 0.0267812931 0.0265040041 0.0428718620 
      32 8.4529072869 6.1984589510 6.5824679263 4.4733844730 3.6705668184 5.5968527113 0.0204359453 0.0285916510 0.0175718307 0.0258588825 0.0253094057 0.0425588261 
      33 8.7621108272 6.1945785986 6.8834333017 4.6438736241 3.8318534637 5.7147963663 0.0193462569 0.0291512348 0.0163368236 0.0243312096 0.0234639490 0.0422093823 
      34 8.8638758733 6.0994936293 7.0072203516 4.7775615706 3.9730915212 5.7047154996 0.0190839755 0.0304073895 0.0160139386 0.0233182944 0.0221110896 0.0414440952 
      35 8.8578216108 5.9973812572 7.0405813756 4.8788995360 4.0689412319 5.6461573333 0.0191833440 0.0316353093 0.0160124389 0.0225875489 0.0212039466 0.0407537483 
      36 8.8215231368 5.3574193823 7.2799282940 5.5573667765 4.7994048227 5.2585966946 0.0198863705 0.0411478227 0.0160807917 0.0180032272 0.0151991023 0.0356595325 
      37 8.5502510652 5.0829402015 7.0804980853 5.6673367757 5.1450233623 4.8379182312 0.0191607579 0.0433756378 0.0151584165 0.0169013829 0.0133094955 0.0302314323 
      38 8.4576620987 5.0499976783 6.9891089349 5.6272875870 5.1873812880 4.7296942893 0.0190870621 0.0434457964 0.0150826797 0.0169231872 0.0133361104 0.0289902704 
      39 7.9818853576 4.8111911271 6.5351923823 5.4175071517 5.5039604719 4.1028418295 0.0196794936 0.0453992914 0.0156003445 0.0165192531 0.0134173130 0.0219533732 
      40 7.8388239257 4.7264121578 6.4069994405 5.3049117235 5.6732588668 3.8400693529 0.0199251514 0.0463801743 0.0159473986 0.0160535366 0.0134670096 0.0186012159 
      41 7.8605177221 4.7313532990 6.4268872647 5.2939817355 5.6901232365 3.8291591150 0.0197220607 0.0461941876 0.0158115166 0.0160548644 0.0134854028 0.0180213527 
      42 8.1240808794 4.8252294999 6.6557140815 5.2816433411 5.6937597996 3.9391695492 0.0182299858 0.0441881428 0.0145620371 0.0160609167 0.0135201740 0.0166576743 
      43 8.2744686115 4.8749191094 6.7856611060 5.2699193380 5.6743302804 4.0024567108 0.0174473318 0.0429946154 0.0139341736 0.0160979569 0.0135394353 0.0158788836 
      44 8.5613017820 4.9474621632 7.0368789947 5.1897261379 5.3838594140 4.1368064261 0.0160901602 0.0393925007 0.0133031709 0.0166793583 0.0136575430 0.0143297972 
      45 8.6559072286 4.9850102250 7.1154131182 5.1167092511 5.1540166862 4.1873724987 0.0156935049 0.0376236271 0.0133437542 0.0169974200 0.0136795061 0.0139041133 
      46 8.7877138903 5.1150100045 7.1845432455 4.9517169504 4.6955262811 4.2640647805 0.0152656574 0.0348913009 0.0134780143 0.0176226051 0.0136748119 0.0134604886 
      47 8.8027609790 5.1534399197 7.1795976518 4.9422502697 4.6532604113 4.2768300405 0.0153397211 0.0344676063 0.0136452409 0.0178604416 0.0138888521 0.0135632752 
      48 8.8813016889 5.2867730158 7.1793045387 4.9183766730 4.5851413195 4.3087071418 0.0152001778 0.0327207423 0.0136398727 0.0181646487 0.0143554028 0.0136076799 
      49 8.9489575750 5.5793007095 7.0598726552 4.9259884665 4.5215246451 4.2810437279 0.0151996448 0.0293353012 0.0136651527 0.0180511065 0.0147209542 0.0137097624 
      50 8.9319863011 5.9935113438 6.7764502788 5.2115395092 4.7277943257 4.0900086184 0.0154829969 0.0258310275 0.0136942863 0.0158603895 0.0134448984 0.0139591036 
      51 8.9386222227 6.2858903492 6.6626390143 5.2986671850 4.7379650337 4.0507038919 0.0155186299 0.0232701570 0.0140003249 0.0154583230 0.0136541471 0.0144022766 
      52 8.9369901513 6.3440520994 6.6394498780 5.3231890338 4.7423037841 4.0395782610 0.0155935260 0.0228785815 0.0141244652 0.0153166049 0.0136566087 0.0144949916 
      53 8.9275612650 6.6851315053 6.5287904389 5.4797648410 4.7501382256 3.9956716985 0.0160417779 0.0208352245 0.0147824339 0.0144891191 0.0137018199 0.0149018312 
      54 8.9323514291 6.8214563817 6.5212553756 5.5447143502 4.7091292461 4.0092281660 0.0161637510 0.0200654380 0.0148809394 0.0142330777 0.0137581038 0.0147908203 
      55 8.9282307447 6.9743944588 6.5445343976 5.6363709982 4.6323588100 4.0643567172 0.0163627013 0.0193456209 0.0146711443 0.0139254794 0.0138817738 0.0144025242 
      56 8.9191126416 6.9989840956 6.6033121636 5.6826126896 4.5973556036 4.1277764344 0.0164280194 0.0192086775 0.0142914974 0.0138841709 0.0140623279 0.0139910375 
      57 8.8981309504 6.9216420309 6.6552770598 5.6868750008 4.6108602868 4.1563497602 0.0164187100 0.0195422326 0.0140710298 0.0138671290 0.0140555758 0.0138904956 
      58 8.8706571114 6.8161280152 6.7008825694 5.6624019959 4.6338199780 4.1665089817 0.0163762919 0.0200036119 0.0139834692 0.0138545726 0.0139964144 0.0138941456 
      59 8.8654763150 6.8226713411 6.7054759757 5.6595644274 4.6291873221 4.1696083617 0.0164038710 0.0199845644 0.0140000213 0.0138351909 0.0140184510 0.0138792506 
      60 8.8626763524 6.8445495203 6.7081232820 5.6486632977 4.6224179879 4.1720812234 0.0164413790 0.0198792573 0.0140135912 0.0138281449 0.0140351418 0.0138568521 
      61 8.8601549461 6.8855948849 6.7098548971 5.6249319628 4.6271946727 4.1732613366 0.0165115005 0.0196929805 0.0140017747 0.0138485642 0.0140178001 0.0138665183 
      62 8.8560639725 6.9144950270 6.7144223929 5.6106431267 4.6380680590 4.1745374938 0.0165715181 0.0195523734 0.0139798183 0.0138880361 0.0139759230 0.0138650115 
      63 8.9592418920 6.8495571379 6.7577882426 5.5764773193 4.6495502558 4.1651376896 0.0158372611 0.0194993725 0.0133912611 0.0135134511 0.0133886060 0.0134914150 
      64 8.9671448382 6.8815481096 6.7236479961 5.5708087375 4.6211134341 4.1581711442 0.0158831629 0.0193842677 0.0134061159 0.0134232849 0.0134299610 0.0134684207 
      65 8.9710970730 6.9603027414 6.7167675828 5.5561784747 4.6210206347 4.1647679796 0.0159795764 0.0190300711 0.0134115333 0.0134243491 0.0134456555 0.0134420885 
      66 8.9705476369 6.9503594081 6.7165072309 5.5591568980 4.6217387694 4.1657200289 0.0159699793 0.0190821952 0.0134156126 0.0134224132 0.0134431239 0.0134406527 
      67 8.9706542459 6.9118877490 6.7119289062 5.5620121951 4.6240730691 4.1687110499 0.0159138612 0.0192508132 0.0134241339 0.0134222484 0.0134383204 0.0134290539 
      68 8.9708204849 6.9228924266 6.7108315451 5.5604365066 4.6242902692 4.1693125088 0.0159292127 0.0192037458 0.0134262293 0.0134231140 0.0134365065 0.0134263376 
      69 8.9708001655 6.9239839320 6.7090573791 5.5599035508 4.6247253456 4.1700424580 0.0159307994 0.0191989274 0.0134293033 0.0134236063 0.0134353833 0.0134241496 
      70 8.9949918402 6.9036367063 6.7016390956 5.5454891479 4.6198373578 4.1704797378 0.0157715201 0.0192313135 0.0133269824 0.0133241862 0.0133285451 0.0133229671 
      71 8.9942288549 6.9116323862 6.7009319034 5.5436421993 4.6189932875 4.1698951832 0.0157869408 0.0191957330 0.0133262637 0.0133248671 0.0133272116 0.0133248929 
      72 8.9942402221 6.9275662101 6.7009481968 5.5426762959 4.6186308310 4.1698298546 0.0158092704 0.0191246516 0.0133260214 0.0133249026 0.0133271773 0.0133248337 
      73 8.9942399727 6.9236196429 6.7009857726 5.5429650089 4.6187255532 4.1698566497 0.0158037751 0.0191423897 0.0133260849 0.0133248235 0.0133271172 0.0133247624 
      74 8.9988685914 6.9255357468 6.6993133321 5.5392027615 4.6173534637 4.1697252223 0.0157815935 0.0191223564 0.0133051774 0.0133049821 0.0133054465 0.0133049692 
      75 8.9988518801 6.9245639045 6.6992564481 5.5391985439 4.6173547541 4.1696561379 0.0157803033 0.0191266627 0.0133052143 0.0133049655 0.0133054272 0.0133049548 
      76 8.9999897552 6.9265857332 6.6988176035 5.5381449603 4.6169679947 4.1696162898 0.0157770355 0.0191148374 0.0133000503 0.0133000494 0.0133000544 0.0133000490 
      77 8.9999885309 6.9259111399 6.6988142736 5.5381808207 4.6169836411 4.1696200436 0.0157760927 0.0191178376 0.0133000521 0.0133000497 0.0133000543 0.0133000495 
