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 fun_evals  fun_val constr_max 1storder_opt     stepsize first eigenfrequency 
     0     1 1.472962e+00 1.210379e+01 1.106684e-01 0.000000e+00 0.217049 
     1     2 1.485174e+00 8.617150e+00 6.876246e-02 2.689590e-01 0.226196 
     2     3 1.488214e+00 7.918596e+00 6.412280e-02 2.365455e-01 0.226209 
     3     4 1.496496e+00 6.163862e+00 5.221508e-02 7.521578e-01 0.227074 
     4     5 1.521147e+00 5.116131e+00 1.429618e-01 2.820528e+00 0.219616 
     5     6 1.567597e+00 2.149049e+00 4.467273e-02 1.336585e+00 0.230173 
     6     7 1.597006e+00 3.079946e-01 3.505962e-02 1.838520e+00 0.239936 
     7     8 1.612747e+00 0.000000e+00 3.215545e-02 9.615801e-01 0.243550 
     8     9 1.640694e+00 0.000000e+00 2.592609e-02 9.930177e-01 0.254230 
     9    10 1.700864e+00 0.000000e+00 2.995822e-02 2.202687e+00 0.282916 
    10    11 1.689963e+00 0.000000e+00 2.980158e-02 1.226570e-01 0.282871 
    11    12 1.634238e+00 0.000000e+00 2.729150e-02 6.237562e-01 0.281914 
    12    14 1.417511e+00 0.000000e+00 2.492718e-02 2.553745e+00 0.277468 
    13    16 1.284061e+00 0.000000e+00 5.191445e-02 1.754653e+00 0.276183 
    14    18 1.169049e+00 0.000000e+00 4.309116e-02 2.090348e+00 0.282140 
    15    20 1.086246e+00 0.000000e+00 3.362866e-02 1.894289e+00 0.285343 
    16    22 1.108854e+00 0.000000e+00 2.658757e-02 3.935946e-01 0.287978 
    17    24 1.109133e+00 0.000000e+00 2.628547e-02 3.403626e-01 0.289365 
    18    33 1.095418e+00 0.000000e+00 2.370207e-02 4.288678e-01 0.288805 
    19    34 9.380044e-01 0.000000e+00 2.785118e-02 2.376491e+00 0.272192 
    20    35 8.802664e-01 2.582549e-01 3.005775e-02 9.677372e-01 0.261483 
    21    36 8.781500e-01 0.000000e+00 2.329920e-02 4.143534e-01 0.261852 
    22    37 8.783985e-01 0.000000e+00 2.301445e-02 1.896385e-01 0.262832 
    23    38 8.520050e-01 0.000000e+00 1.995278e-02 5.079241e-01 0.260875 
    24    39 8.460650e-01 0.000000e+00 2.100886e-02 4.710579e-01 0.261569 
    25    40 8.253731e-01 5.710640e-03 2.011479e-02 5.760674e-01 0.261606 
    26    41 8.264950e-01 0.000000e+00 2.048756e-02 1.905910e-01 0.263522 
    27    42 8.129468e-01 8.009801e-04 1.931124e-02 8.817143e-01 0.267609 
    28    43 8.167236e-01 0.000000e+00 2.147006e-02 3.817662e-01 0.271034 
    29    44 8.054304e-01 0.000000e+00 2.183943e-02 9.757805e-01 0.276155 
    30    45 7.673814e-01 7.116018e-03 1.819419e-02 1.622772e+00 0.279686 
    31    46 7.750235e-01 0.000000e+00 2.180691e-02 6.431814e-01 0.277800 
    32    47 7.656644e-01 0.000000e+00 1.759945e-02 4.430087e-01 0.275046 
    33    48 7.546204e-01 0.000000e+00 1.634396e-02 2.404473e-01 0.273944 
    34    49 7.404917e-01 0.000000e+00 1.342780e-02 5.591023e-01 0.275664 
    35    50 7.350328e-01 0.000000e+00 1.318262e-02 6.417961e-01 0.279161 
    36    51 7.370875e-01 0.000000e+00 1.216588e-02 2.855451e-01 0.281543 
    37    52 7.367308e-01 0.000000e+00 1.200932e-02 1.212971e-01 0.282578 
    38    53 7.281521e-01 0.000000e+00 1.404143e-02 2.865522e-01 0.283628 
    39    54 7.206990e-01 0.000000e+00 1.369150e-02 2.282720e-01 0.284093 
    40    55 7.135540e-01 0.000000e+00 1.277225e-02 3.416940e-01 0.286118 
    41    56 7.122991e-01 0.000000e+00 1.193469e-02 4.102123e-01 0.289667 
    42    57 7.143452e-01 0.000000e+00 1.059437e-02 4.793456e-01 0.294221 
    43    58 7.152311e-01 0.000000e+00 1.059701e-02 3.144781e-01 0.296967 
    44    59 7.146931e-01 0.000000e+00 8.921651e-03 3.809710e-01 0.299632 
    45    60 7.103441e-01 0.000000e+00 6.251772e-03 4.084407e-01 0.301390 
    46    61 7.069464e-01 0.000000e+00 6.186727e-03 1.761800e-01 0.300677 
    47    62 7.046162e-01 0.000000e+00 6.794248e-03 1.760550e-01 0.300232 
    48    63 7.028855e-01 0.000000e+00 6.523131e-03 8.842597e-02 0.300582 
    49    64 7.010622e-01 0.000000e+00 5.500205e-03 8.147302e-02 0.300769 
    50    65 6.979271e-01 0.000000e+00 4.198451e-03 1.460605e-01 0.300302 
    51    66 6.967393e-01 0.000000e+00 4.548877e-03 1.459676e-01 0.299791 
    52    67 6.973082e-01 0.000000e+00 4.819542e-03 1.418566e-01 0.300064 
    53    68 6.978686e-01 0.000000e+00 5.002793e-03 9.603247e-02 0.300231 
    54    69 6.977703e-01 0.000000e+00 5.148528e-03 2.300362e-01 0.300652 
    55    70 6.956943e-01 0.000000e+00 5.146035e-03 2.580936e-01 0.300808 
    56    71 6.940071e-01 0.000000e+00 5.055481e-03 1.153360e-01 0.300645 
    57    72 6.929418e-01 0.000000e+00 5.834770e-03 8.639225e-02 0.300334 
    58    73 6.915237e-01 0.000000e+00 5.568729e-03 1.111549e-01 0.300105 
    59    74 6.898460e-01 0.000000e+00 5.224745e-03 1.602008e-01 0.300312 
    60    75 6.892301e-01 0.000000e+00 3.999873e-03 2.112799e-01 0.301161 
    61    76 6.290379e-01 0.000000e+00 1.205173e-02 1.292331e+00 0.296398 
    62    77 6.147465e-01 0.000000e+00 7.834541e-03 5.125868e-01 0.294434 
    63    78 6.179146e-01 0.000000e+00 7.475909e-03 1.000333e-01 0.294920 
    64    79 6.173111e-01 0.000000e+00 5.304270e-03 7.810957e-02 0.295507 
    65    80 6.160568e-01 0.000000e+00 4.646152e-03 1.998482e-01 0.296905 
    66    81 6.155237e-01 0.000000e+00 5.105824e-03 1.674608e-01 0.298007 
    67    82 6.149798e-01 0.000000e+00 4.940356e-03 1.350041e-01 0.298660 
    68    84 6.134167e-01 0.000000e+00 4.173353e-03 1.854899e-01 0.299044 
    69    86 6.122556e-01 0.000000e+00 4.375547e-03 1.879800e-01 0.299050 
    70    88 6.118085e-01 0.000000e+00 4.797415e-03 7.546019e-02 0.298670 
    71    90 6.112876e-01 0.000000e+00 1.923272e-03 5.877686e-02 0.298368 
    72    92 6.114297e-01 0.000000e+00 1.970017e-03 2.971269e-02 0.298364 
    73    94 6.114671e-01 0.000000e+00 1.932673e-03 4.375449e-02 0.298566 
    74    96 6.111182e-01 0.000000e+00 2.129968e-03 6.070903e-02 0.298620 
    75    97 6.108165e-01 0.000000e+00 2.068928e-03 5.035480e-02 0.298592 
    76    98 6.106185e-01 0.000000e+00 1.854282e-03 5.299136e-02 0.298514 
    77    99 6.105703e-01 0.000000e+00 8.389027e-04 5.040838e-02 0.298651 
    78   100 6.106559e-01 0.000000e+00 8.000340e-04 1.193883e-02 0.298727 
    79   101 5.941506e-01 0.000000e+00 3.687112e-03 2.645585e-01 0.296318 
    80   102 5.937894e-01 0.000000e+00 2.788689e-03 4.915373e-02 0.296557 
    81   103 5.938364e-01 0.000000e+00 2.422425e-03 1.455155e-02 0.296544 
    82   104 5.936112e-01 0.000000e+00 2.345906e-03 3.158199e-02 0.296480 
    83   105 5.934718e-01 0.000000e+00 2.304507e-03 3.210601e-02 0.296398 
    84   106 5.935130e-01 0.000000e+00 2.294570e-03 8.779077e-03 0.296378 
    85   107 5.934965e-01 0.000000e+00 2.295670e-03 5.739267e-03 0.296384 
    86   108 5.934462e-01 0.000000e+00 2.128904e-03 1.565659e-02 0.296447 
    87   110 5.933676e-01 0.000000e+00 1.584717e-03 3.118439e-02 0.296588 
    88   111 5.933358e-01 0.000000e+00 1.132530e-03 1.768740e-02 0.296650 
    89   112 5.933247e-01 0.000000e+00 1.134248e-03 4.950025e-03 0.296667 
    90   113 5.932938e-01 0.000000e+00 8.588544e-04 1.002427e-02 0.296694 
    91   114 5.932662e-01 0.000000e+00 3.230670e-04 1.173321e-02 0.296721 
    92   115 5.932687e-01 0.000000e+00 1.600000e-04 3.816929e-03 0.296730 
    93   116 5.897941e-01 0.000000e+00 6.584579e-04 6.709197e-02 0.296332 
    94   117 5.898218e-01 0.000000e+00 6.863030e-04 6.885219e-03 0.296314 
    95   118 5.897900e-01 0.000000e+00 6.814999e-04 8.118372e-03 0.296310 
    96   119 5.897835e-01 0.000000e+00 3.305826e-04 4.137059e-03 0.296312 
    97   120 5.897867e-01 0.000000e+00 1.853381e-04 7.323409e-04 0.296315 
    98   121 5.897862e-01 0.000000e+00 8.399410e-05 8.889306e-04 0.296317 
    99   122 5.897862e-01 0.000000e+00 3.200000e-05 5.891099e-04 0.296319 
   100   123 5.890941e-01 0.000000e+00 1.815238e-04 1.366715e-02 0.296239 
   101   124 5.890930e-01 0.000000e+00 1.065775e-04 1.150705e-03 0.296233 
   102   125 5.890931e-01 0.000000e+00 2.079237e-05 1.585837e-04 0.296232 
   103   126 5.890931e-01 0.000000e+00 1.601793e-05 8.641266e-05 0.296232 
   104   127 5.890931e-01 0.000000e+00 1.537472e-05 2.829089e-04 0.296230 
   105   128 5.890930e-01 0.000000e+00 1.611173e-05 1.370770e-03 0.296220 
   106   129 5.890927e-01 0.000000e+00 2.829113e-05 6.891840e-03 0.296172 
   107   130 5.890915e-01 0.000000e+00 3.085182e-05 1.923302e-02 0.296039 
   108   131 5.890924e-01 0.000000e+00 2.341476e-05 4.790010e-03 0.296072 
   109   132 5.890924e-01 0.000000e+00 1.389721e-05 3.023282e-03 0.296051 
   110   133 5.890919e-01 0.000000e+00 2.933048e-05 1.086721e-02 0.295976 
   111   136 5.890920e-01 0.000000e+00 1.125535e-05 1.918512e-03 0.295989 
   112   137 5.890924e-01 0.000000e+00 8.769308e-06 7.325496e-04 0.295994 
   113   141 5.890924e-01 0.000000e+00 9.269123e-06 4.360255e-04 0.295997 
   114   149 5.890924e-01 0.000000e+00 6.439786e-06 3.645054e-04 0.296000 
   115   150 5.889440e-01 3.465806e-04 2.208478e-04 6.626141e-02 0.295520 
   116   151 5.889356e-01 3.464753e-04 5.985510e-05 6.520163e-02 0.295971 
   117   153 5.889448e-01 1.557782e-04 3.757003e-05 1.675768e-03 0.295984 
   118   154 5.889541e-01 0.000000e+00 3.415567e-05 5.208975e-04 0.295984 
   119   156 5.889541e-01 0.000000e+00 7.398220e-06 5.115766e-04 0.295980 
   120   159 5.889541e-01 0.000000e+00 6.579311e-06 3.861250e-04 0.295977 
   121   177 5.889541e-01 0.000000e+00 1.966281e-06 1.394180e-05 0.295977 
   122   192 5.889541e-01 0.000000e+00 1.760117e-05 6.100560e-06 0.295977 
