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 5.9739775486 5.9736240991 5.9736462067 5.9736402968 5.9736278633 5.9736283890 0.0597398641 0.0597387760 0.0597385159 0.0597384254 0.0597384060 0.0597384734 
       2 5.8371637621 5.8349105861 5.8350178726 5.8349576568 5.8348628196 5.8348492937 0.0583733615 0.0583665331 0.0583647743 0.0583641130 0.0583638772 0.0583641547 
       3 5.4972228772 5.4896146715 5.4899155462 5.4896744055 5.4893342290 5.4892515883 0.0549733060 0.0549504770 0.0549445434 0.0549422135 0.0549412008 0.0549417324 
       4 5.3992587557 5.3884467219 5.3885704676 5.3880584284 5.3874667757 5.3871982184 0.0539795772 0.0539469086 0.0539383686 0.0539344165 0.0539319590 0.0539311040 
       5 5.3134943669 5.2870471706 5.2849739234 5.2823523258 5.2800089468 5.2781622447 0.0529998772 0.0529171367 0.0528954767 0.0528804799 0.0528663031 0.0528516774 
       6 5.2733653629 5.1153585699 5.0928593803 5.0708212354 5.0525862514 5.0360730319 0.0514808080 0.0509699124 0.0508398821 0.0507254033 0.0506028891 0.0504582508 
       7 5.2838560348 4.7416865081 4.6525500098 4.5683730178 4.4993972037 4.4362773320 0.0482350149 0.0464522666 0.0459813425 0.0455524289 0.0450867245 0.0445304028 
       8 5.2910017252 4.6198109855 4.4889043504 4.3758412969 4.2831124035 4.1984525801 0.0469988759 0.0447818097 0.0441185180 0.0435465652 0.0429238462 0.0421797063 
       9 5.2242228974 4.6104825287 4.0807561402 3.8652700668 3.6875916783 3.5251172536 0.0432642347 0.0414344839 0.0391948078 0.0381233194 0.0369421061 0.0355209307 
      10 5.2129256081 4.6234063102 4.0501997503 3.8247928180 3.6402183347 3.4713987242 0.0429310150 0.0412194253 0.0388027147 0.0376855871 0.0364612121 0.0349873934 
      11 5.3146447149 4.6993149878 4.0798476322 3.8078027373 3.6144615388 3.4369234290 0.0431019838 0.0413824855 0.0386672929 0.0373685293 0.0361215494 0.0346207608 
      12 5.3727057657 4.7485222766 4.1119676325 3.7803827195 3.5952906483 3.4228148389 0.0430395115 0.0413907860 0.0385175490 0.0370120795 0.0358521374 0.0344474919 
      13 5.4531441711 4.8124490697 4.1649668671 3.7048045726 3.5436307779 3.3873334895 0.0426383410 0.0411415445 0.0380734805 0.0361293804 0.0351881458 0.0340263506 
      14 5.5482479180 4.8828241618 4.2326578286 3.6117496098 3.4936992260 3.3697041838 0.0421001725 0.0407980436 0.0375369303 0.0350674557 0.0344928138 0.0337526463 
      15 5.5558958355 4.8886064874 4.2383037018 3.6043985932 3.4901691745 3.3702234151 0.0420415283 0.0407611979 0.0374837900 0.0349755710 0.0344380038 0.0337474921 
      16 5.5692665398 4.8985624781 4.2482077304 3.5925530422 3.4837827177 3.3735547672 0.0419001348 0.0406693047 0.0373620186 0.0347971728 0.0343320463 0.0337578048 
      17 5.5949463409 4.9154976907 4.2684735172 3.5809312100 3.4709078517 3.3956013077 0.0413819041 0.0403162468 0.0369508838 0.0343602642 0.0340698198 0.0339018335 
      18 5.8266440008 5.0432077810 4.4639588058 3.7292821841 3.4205055830 3.8000211824 0.0350145485 0.0359708670 0.0321406308 0.0306388870 0.0319117386 0.0369858310 
      19 6.0782245373 5.1818986533 4.6780440742 3.8736265492 3.4418087420 4.1089089685 0.0316208120 0.0337251504 0.0295828294 0.0287840972 0.0309745380 0.0394334546 
      20 6.0930803609 5.1888821482 4.6673091504 3.8808506449 3.4109131800 4.0651776783 0.0314245287 0.0335064869 0.0292805137 0.0286124967 0.0305777864 0.0389789150 
      21 6.3785613194 5.3469136563 4.8537378715 4.0113248050 3.3362839302 4.1116472150 0.0290057732 0.0315431761 0.0270266244 0.0269508463 0.0286482403 0.0389441797 
      22 6.7465563368 5.5502985511 5.1229870353 4.1837607919 3.3139702781 4.2671401239 0.0263903503 0.0296182791 0.0246693866 0.0251936998 0.0269663949 0.0398679091 
      23 7.2361453212 5.8083463643 5.4852843996 4.4031467852 3.3443263120 4.5398208091 0.0232978741 0.0273900123 0.0217872066 0.0230351746 0.0253528484 0.0417727207 
      24 7.4979001362 5.9366911491 5.6772717416 4.5281482158 3.4143944387 4.6858238703 0.0218703470 0.0263731327 0.0203635373 0.0220039572 0.0248769246 0.0428074129 
      25 8.1179878389 6.2228775065 6.1290279886 4.7731463867 3.5430360360 4.9783982505 0.0192169828 0.0243788809 0.0175350553 0.0196662889 0.0236082412 0.0448163454 
      26 8.1478053645 6.2334458161 6.1464712282 4.7977265386 3.5679402332 4.9386541790 0.0191137330 0.0243866112 0.0174348816 0.0195428864 0.0234821697 0.0443783729 
      27 8.2289016888 6.2632919100 6.2081097939 4.8469282186 3.6208025618 4.8966109199 0.0188380252 0.0244119345 0.0172432922 0.0192049968 0.0232352296 0.0438434220 
      28 8.3056336100 6.2837223022 6.2638129587 4.8929465968 3.6624601643 4.8958394046 0.0186719766 0.0244390543 0.0170611520 0.0189656760 0.0230801238 0.0437328218 
      29 8.3517223999 6.2876420215 6.2965663425 4.9241024587 3.6879829689 4.8976301078 0.0185309760 0.0244958660 0.0169223285 0.0187690413 0.0229237088 0.0436820385 
      30 8.4514722091 6.2570682577 6.3674561468 5.0148280971 3.7602276594 4.8893362967 0.0182298085 0.0249425227 0.0166848330 0.0182358831 0.0223874567 0.0434371544 
      31 8.6410491953 6.0883006879 6.4997196436 5.2606495088 3.9463560747 4.8391515765 0.0176280863 0.0267537458 0.0163426899 0.0168915378 0.0207478243 0.0425815102 
      32 8.7971326494 5.6097180566 6.5965804508 5.7347035912 4.3797400798 4.5736224860 0.0172961150 0.0321093818 0.0165643236 0.0147111154 0.0177416343 0.0395147872 
      33 8.8401762330 5.3638385565 6.6120550744 6.0490011747 4.6609098612 4.2586454635 0.0167140150 0.0355518322 0.0163726293 0.0133070556 0.0154645255 0.0361026771 
      34 8.3969268095 4.9230606606 6.1712073843 6.1660383542 4.7399252476 3.5300378313 0.0165887597 0.0383426783 0.0167369921 0.0136348169 0.0133108226 0.0292098142 
      35 8.0417508313 4.8658167067 5.8537364030 5.7538560278 4.6384013338 3.0688508371 0.0173358933 0.0380867547 0.0174521851 0.0137714466 0.0141083269 0.0251414205 
      36 8.0425404659 4.8670882952 5.8522794607 5.7407547626 4.6389456189 3.0507866360 0.0173113525 0.0380425738 0.0174328542 0.0137159727 0.0141026889 0.0249512504 
      37 8.1306584805 4.9308020498 5.9015661200 5.6499468698 4.6106033190 2.9751086462 0.0168476763 0.0367695760 0.0170061024 0.0135051637 0.0140899860 0.0239158411 
      38 8.6858975387 5.3069002082 6.2804838730 5.4791728126 4.4708906297 3.0527970092 0.0149181681 0.0308543975 0.0150194731 0.0135652949 0.0142173113 0.0232630426 
      39 8.8421635132 5.3942468100 6.3878873695 5.4694640685 4.4556278926 3.0692921182 0.0144213413 0.0294898878 0.0145085716 0.0136048958 0.0141769269 0.0229920000 
      40 8.9206871654 5.4559422261 6.4492356955 5.4556660973 4.4410637330 3.0807155566 0.0142049729 0.0286662008 0.0142944139 0.0137134153 0.0142101928 0.0227895017 
      41 8.9479041848 5.7221423321 6.5468180460 5.3496701813 4.3308958263 3.1360359604 0.0141462525 0.0260772865 0.0141047609 0.0143905477 0.0146222299 0.0219172404 
      42 8.9240574813 6.1929767793 6.7316283898 5.2981992560 4.2624896903 3.2831699835 0.0144318779 0.0229922502 0.0138055125 0.0146786246 0.0149485985 0.0202223207 
      43 8.8756848073 6.7070534168 6.9359264647 5.2508873725 4.2114614774 3.4393975391 0.0148278075 0.0194446786 0.0135096706 0.0146520052 0.0151335294 0.0177619116 
      44 8.8655282777 6.8106864232 6.9820841193 5.2473143423 4.2063906482 3.4825185537 0.0149405580 0.0188142282 0.0135088432 0.0145983198 0.0151436315 0.0173389143 
      45 8.7994452220 7.2835631052 7.2003870873 5.2990030611 4.2293591706 3.7226764265 0.0155805917 0.0163602037 0.0135860699 0.0139815902 0.0148883764 0.0153822618 
      46 8.7795910243 7.3386743159 7.2152237126 5.3328105525 4.2412483331 3.7693017412 0.0157324694 0.0160370717 0.0136179040 0.0139235529 0.0147498448 0.0150634664 
      47 8.7348970768 7.3057749743 7.1476075732 5.4085654078 4.2794273890 3.8084218909 0.0158453665 0.0160375793 0.0136321401 0.0138747267 0.0144463174 0.0148033837 
      48 8.6419339519 7.0955716592 6.9077902340 5.5285248744 4.3702138671 3.8229865531 0.0158641128 0.0167369612 0.0136571152 0.0137743117 0.0139875632 0.0146979193 
      49 8.5648835807 6.9528393436 6.7192157992 5.5702243521 4.4295633373 3.8305458533 0.0159370601 0.0172982709 0.0137284960 0.0137091719 0.0138693335 0.0146269027 
      50 8.5628248106 6.9115923160 6.6557954763 5.5483693290 4.4438806783 3.8343176630 0.0159113643 0.0175031306 0.0137424562 0.0137170341 0.0139382460 0.0146157871 
      51 8.6197784908 6.8659396915 6.5226626231 5.4539614035 4.4696835901 3.8834670367 0.0156776847 0.0177646416 0.0137191618 0.0137528966 0.0140027566 0.0142778376 
      52 8.7528249019 6.8861318318 6.4768729940 5.3267916052 4.4641952474 3.9501328463 0.0152552726 0.0177164577 0.0137350554 0.0138595614 0.0139672928 0.0138718383 
      53 8.7958220690 6.9198067280 6.5129791228 5.3030802243 4.4389428962 3.9614603307 0.0151238833 0.0175741155 0.0137857376 0.0139692268 0.0139009740 0.0138441986 
      54 8.7940950750 6.9279875646 6.5169066761 5.3066319874 4.4310833516 3.9610495849 0.0151331746 0.0175314225 0.0138194032 0.0140149324 0.0138981700 0.0138443666 
      55 8.9565004850 6.9354529448 6.5333103556 5.2405861442 4.4233182775 3.9648936819 0.0142761595 0.0171117524 0.0133102100 0.0136443837 0.0134048274 0.0133636181 
      56 8.9555083446 6.9118949746 6.4966385370 5.2287900588 4.4095903479 3.9499559512 0.0143095530 0.0172635011 0.0133876350 0.0135449724 0.0133949146 0.0134026506 
      57 8.9614035227 6.9070232068 6.4175920903 5.2659359872 4.3902890577 3.9459491177 0.0142929802 0.0172988150 0.0134006616 0.0134246240 0.0134038068 0.0134139451 
      58 8.9677110998 6.9253530209 6.3914328136 5.2802370385 4.3803329844 3.9498954664 0.0142954626 0.0172300970 0.0134124108 0.0134165392 0.0134427686 0.0134042579 
      59 8.9674491642 6.9535159241 6.3979602682 5.2861855428 4.3761591195 3.9500251941 0.0143269663 0.0171110203 0.0134139286 0.0134171016 0.0134694157 0.0134048646 
      60 8.9679788163 7.0228559972 6.4021777265 5.2873382922 4.3716545917 3.9500389137 0.0144031349 0.0168255645 0.0134130445 0.0134101010 0.0134831453 0.0134023539 
      61 8.9675899539 7.1069040804 6.3922966214 5.2745636108 4.3767381173 3.9484393952 0.0145069967 0.0165027251 0.0134175219 0.0134178854 0.0134543610 0.0134107624 
      62 8.9682167955 7.1521779835 6.3879294868 5.2681309808 4.3816428602 3.9462161350 0.0145617906 0.0163393883 0.0134229721 0.0134248371 0.0134336285 0.0134181280 
      63 8.9681170954 7.1421330602 6.3874879391 5.2687107173 4.3818105196 3.9461745256 0.0145505200 0.0163790408 0.0134241092 0.0134254419 0.0134367278 0.0134192950 
      64 8.9954388160 7.1544059997 6.3708576826 5.2507506278 4.3760792851 3.9450660418 0.0144289680 0.0162753572 0.0133299579 0.0133233794 0.0133282656 0.0133243000 
      65 8.9939460599 7.1426980684 6.3700278548 5.2476234137 4.3760632443 3.9453734581 0.0144229095 0.0163213877 0.0133253422 0.0133250770 0.0133271814 0.0133241682 
      66 8.9939234014 7.1475731144 6.3701685251 5.2475498599 4.3759033827 3.9453774463 0.0144290431 0.0163034378 0.0133251069 0.0133251797 0.0133271659 0.0133240752 
      67 8.9939185605 7.1496126356 6.3701858783 5.2474415734 4.3758398258 3.9453775759 0.0144315842 0.0162959285 0.0133250275 0.0133252052 0.0133271955 0.0133240549 
      68 8.9988485947 7.1535031991 6.3665351118 5.2427971325 4.3744701299 3.9452524855 0.0144119429 0.0162707593 0.0133049653 0.0133050438 0.0133054193 0.0133047885 
      69 8.9987947431 7.1471262820 6.3664746573 5.2431050233 4.3746091462 3.9452679525 0.0144043305 0.0162942809 0.0133050140 0.0133050474 0.0133054478 0.0133048237 
      70 8.9987955712 7.1500612476 6.3664639306 5.2429496519 4.3745443413 3.9452617021 0.0144079531 0.0162834918 0.0133050080 0.0133050441 0.0133054447 0.0133048158 
      71 8.9987951183 7.1489332948 6.3664696753 5.2430104893 4.3745692089 3.9452643127 0.0144065696 0.0162876532 0.0133050094 0.0133050455 0.0133054464 0.0133048185 
      72 8.9987949653 7.1484312408 6.3664722291 5.2430375142 4.3745802892 3.9452654845 0.0144059489 0.0162895051 0.0133050101 0.0133050461 0.0133054473 0.0133048197 
      73 8.9987951001 7.1488006878 6.3664703192 5.2430175574 4.3745721115 3.9452646265 0.0144064057 0.0162881443 0.0133050096 0.0133050457 0.0133054467 0.0133048188 
      74 8.9987950649 7.1487090299 6.3664707857 5.2430224697 4.3745741222 3.9452648382 0.0144062924 0.0162884823 0.0133050097 0.0133050458 0.0133054468 0.0133048191 
      75 8.9987949839 7.1485028476 6.3664718296 5.2430335884 4.3745786716 3.9452653189 0.0144060376 0.0162892424 0.0133050101 0.0133050461 0.0133054472 0.0133048196 
      76 8.9987949836 7.1484697309 6.3664720753 5.2430354186 4.3745793983 3.9452653942 0.0144059966 0.0162893645 0.0133050101 0.0133050461 0.0133054472 0.0133048196 
      77 8.9997615711 7.1477641738 6.3657228228 5.2421692155 4.3743366279 3.9452440065 0.0144003349 0.0162898203 0.0133010045 0.0133010107 0.0133010915 0.0133009672 
      78 8.9997596736 7.1501096332 6.3657068517 5.2420393618 4.3742846275 3.9452387115 0.0144032346 0.0162811739 0.0133010016 0.0133010089 0.0133010890 0.0133009633 
      79 8.9997595296 7.1492845872 6.3657129841 5.2420853885 4.3743029927 3.9452407218 0.0144022265 0.0162842163 0.0133010019 0.0133010092 0.0133010894 0.0133009637 
      80 8.9997594993 7.1486841333 6.3657172154 5.2421182905 4.3743161784 3.9452420956 0.0144014835 0.0162864298 0.0133010020 0.0133010093 0.0133010896 0.0133009640 
      81 8.9997594589 7.1482125578 6.3657205012 5.2421441924 4.3743265508 3.9452431716 0.0144009002 0.0162881682 0.0133010022 0.0133010094 0.0133010898 0.0133009642 
      82 8.9997594543 7.1481593971 6.3657208695 5.2421471143 4.3743277188 3.9452432929 0.0144008344 0.0162883642 0.0133010022 0.0133010094 0.0133010898 0.0133009643 
      83 8.9997594543 7.1481423694 6.3657209923 5.2421480654 4.3743280916 3.9452433315 0.0144008134 0.0162884273 0.0133010022 0.0133010094 0.0133010898 0.0133009643 
      84 8.9997594507 7.1481583316 6.3657208609 5.2421471862 4.3743277414 3.9452432947 0.0144008331 0.0162883684 0.0133010022 0.0133010094 0.0133010898 0.0133009643 
      85 8.9997594506 7.1481573920 6.3657208674 5.2421472377 4.3743277620 3.9452432968 0.0144008320 0.0162883719 0.0133010022 0.0133010094 0.0133010898 0.0133009643 
