rollup_mass_props_unc() rolls up mass properties uncertainties in a data frame such that the uncertainties of each
non-leaf vertex element is the aggregation of the mass properties and uncertainties of its child elements.
The difference between rollup_mass_props_unc() and rollup_mass_props_and_unc() is that rollup_mass_props_unc()
expects the mass properties in its input to have been rolled up, whereas rollup_mass_props_and_unc() performs
the mass properties rollup itself.
Arguments
- tree
An 'igraph' tree whose vertices are named as the values of the
idcolumn ofdfand whose directed edges point from child id to parent id.- df
A data frame with (at least) these columns:
id,mass,Cx,Cy,Cz,Ixx,Iyy,Izz,Ixy,Ixz,Iyz,POIconv,Ipoint.- validate_df
A validator for the tree and table, default
validate_mass_props_and_unc_table()- ...
Other parameters passed to
rollupTree::rollup()
Examples
mp_ru <- rollup_mass_props(mp_tree, mp_table)
rollup_mass_props_unc(mp_tree, mp_ru)[1:100, ]
#> id name POIconv mass Cx Cy
#> 1 C.1 System 1 - 635.660192 0.3318148 1.36614630
#> 2 C.1.1 Segment 1 - 372.387816 2.7823660 2.27331548
#> 3 C.1.2 Segment 2 - 263.272375 -3.1343878 0.08299326
#> 4 C.1.1.1 Element 1 - 45.236245 0.6449576 3.40672797
#> 5 C.1.1.2 Element 2 - 83.911615 1.7979454 -0.58033620
#> 6 C.1.1.3 Element 3 - 123.272571 6.4136420 1.63215491
#> 7 C.1.1.4 Element 4 - 119.967384 0.5455573 4.50076013
#> 8 C.1.2.1 Element 5 - 97.128572 2.2245377 -4.18310553
#> 9 C.1.2.2 Element 6 - 46.012547 -23.9286608 -6.13818202
#> 10 C.1.2.3 Element 7 - 120.131257 0.4974119 5.91504913
#> 11 C.1.1.1.1 Subsystem 1 - 24.182758 12.7664845 -7.33521244
#> 12 C.1.1.1.2 Subsystem 2 - 21.053487 -13.2782447 15.74528976
#> 13 C.1.1.2.1 Subsystem 3 - 32.614045 -5.4164053 4.35058525
#> 14 C.1.1.2.2 Subsystem 4 - 18.443508 5.9446314 -2.86799230
#> 15 C.1.1.2.3 Subsystem 5 - 32.854062 6.6317379 -4.19099753
#> 16 C.1.1.3.1 Subsystem 6 - 18.809672 -11.5693537 4.60172214
#> 17 C.1.1.3.2 Subsystem 7 - 21.309572 3.7950516 -3.76444320
#> 18 C.1.1.3.3 Subsystem 8 - 28.107067 3.8710126 2.64280855
#> 19 C.1.1.3.4 Subsystem 9 - 31.461107 16.1782715 8.40798505
#> 20 C.1.1.3.5 Subsystem 10 - 23.585154 13.1261314 -6.10317776
#> 21 C.1.1.4.1 Subsystem 11 - 14.945121 10.1956219 2.09268188
#> 22 C.1.1.4.2 Subsystem 12 - 20.623094 -14.8515213 16.29220017
#> 23 C.1.1.4.3 Subsystem 13 - 27.123877 -2.3767554 2.44839217
#> 24 C.1.1.4.4 Subsystem 14 - 27.512486 12.0096670 3.91406747
#> 25 C.1.1.4.5 Subsystem 15 - 29.762807 -1.5653890 -0.04778306
#> 26 C.1.2.1.1 Subsystem 16 - 22.161742 17.0733845 -8.78939395
#> 27 C.1.2.1.2 Subsystem 17 - 29.542394 -4.0320250 -10.63513308
#> 28 C.1.2.1.3 Subsystem 18 - 19.515486 -12.2676108 -10.14297124
#> 29 C.1.2.1.4 Subsystem 19 - 25.908950 7.5732239 11.60299863
#> 30 C.1.2.2.1 Subsystem 20 - 12.256125 -25.7562192 -0.82404359
#> 31 C.1.2.2.2 Subsystem 21 - 24.446707 -17.8654251 -8.50267866
#> 32 C.1.2.2.3 Subsystem 22 - 9.309714 -37.4443673 -6.92516492
#> 33 C.1.2.3.1 Subsystem 23 - 26.125954 2.3614452 7.99620979
#> 34 C.1.2.3.2 Subsystem 24 - 23.382905 18.2483930 -4.68014506
#> 35 C.1.2.3.3 Subsystem 25 - 35.450403 -3.5173534 6.67001106
#> 36 C.1.2.3.4 Subsystem 26 - 17.672250 -15.1876417 6.45654603
#> 37 C.1.2.3.5 Subsystem 27 - 17.499745 -2.0314207 14.88894819
#> 38 C.1.1.1.1.1 Assembly 1 - 10.071268 15.0192256 8.60615091
#> 39 C.1.1.1.1.2 Assembly 2 - 8.777087 13.1715220 -19.12305251
#> 40 C.1.1.1.1.3 Assembly 3 - 5.334404 7.8469082 -18.03684651
#> 41 C.1.1.1.2.1 Assembly 4 - 8.530216 -27.0839975 -3.93222778
#> 42 C.1.1.1.2.2 Assembly 5 - 3.688640 2.4216967 34.86365323
#> 43 C.1.1.1.2.3 Assembly 6 - 8.834630 -6.5032449 26.76246960
#> 44 C.1.1.2.1.1 Assembly 7 - 3.187103 -20.7902569 -4.91562419
#> 45 C.1.1.2.1.2 Assembly 8 - 7.704628 1.5556086 -1.75343697
#> 46 C.1.1.2.1.3 Assembly 9 - 7.711519 -2.3777753 23.38481702
#> 47 C.1.1.2.1.4 Assembly 10 - 3.549741 2.6316091 31.09013760
#> 48 C.1.1.2.1.5 Assembly 11 - 10.461054 -10.8383769 -11.43556170
#> 49 C.1.1.2.2.1 Assembly 12 - 10.286039 10.1654142 12.63895967
#> 50 C.1.1.2.2.2 Assembly 13 - 2.244389 8.1157966 -57.40848164
#> 51 C.1.1.2.2.3 Assembly 14 - 5.913080 -2.2216845 -9.14137684
#> 52 C.1.1.2.3.1 Assembly 15 - 10.677102 14.8893352 -11.06192763
#> 53 C.1.1.2.3.2 Assembly 16 - 6.552370 -10.5711516 -13.20642056
#> 54 C.1.1.2.3.3 Assembly 17 - 6.344582 1.6405611 16.22198529
#> 55 C.1.1.2.3.4 Assembly 18 - 3.402740 60.7702477 -1.44767560
#> 56 C.1.1.2.3.5 Assembly 19 - 5.877267 -15.1470616 -5.28209204
#> 57 C.1.1.3.1.1 Assembly 20 - 4.293059 -39.5750239 -13.48623549
#> 58 C.1.1.3.1.2 Assembly 21 - 5.084983 -43.6312526 -15.82460462
#> 59 C.1.1.3.1.3 Assembly 22 - 5.945426 -5.0634332 18.67393164
#> 60 C.1.1.3.1.4 Assembly 23 - 3.486204 58.5882609 32.67091018
#> 61 C.1.1.3.2.1 Assembly 24 - 6.550015 9.1370077 -28.74205708
#> 62 C.1.1.3.2.2 Assembly 25 - 5.517889 4.5710202 19.45615975
#> 63 C.1.1.3.2.3 Assembly 26 - 3.595544 2.6384819 29.67219507
#> 64 C.1.1.3.2.4 Assembly 27 - 5.646124 -2.4239229 -18.77436158
#> 65 C.1.1.3.3.1 Assembly 28 - 5.516820 11.9159764 7.58302926
#> 66 C.1.1.3.3.2 Assembly 29 - 5.098215 -11.9097042 -24.95358705
#> 67 C.1.1.3.3.3 Assembly 30 - 9.449215 20.7511141 6.11645689
#> 68 C.1.1.3.3.4 Assembly 31 - 8.042816 -11.4759551 12.66601430
#> 69 C.1.1.3.4.1 Assembly 32 - 6.584066 39.3645423 3.15413640
#> 70 C.1.1.3.4.2 Assembly 33 - 5.508303 20.4291943 24.53406983
#> 71 C.1.1.3.4.3 Assembly 34 - 9.267718 11.8847755 -4.54399695
#> 72 C.1.1.3.4.4 Assembly 35 - 2.768917 -8.3967033 23.54252209
#> 73 C.1.1.3.4.5 Assembly 36 - 7.332103 6.8714831 11.66671923
#> 74 C.1.1.3.5.1 Assembly 37 - 11.593170 17.6646845 -16.62616230
#> 75 C.1.1.3.5.2 Assembly 38 - 7.660895 14.2436968 16.34470506
#> 76 C.1.1.3.5.3 Assembly 39 - 4.331090 -0.9991273 -17.64210148
#> 77 C.1.1.4.1.1 Assembly 40 - 8.329673 4.3469841 19.99215163
#> 78 C.1.1.4.1.2 Assembly 41 - 6.615447 17.5597862 -20.44498292
#> 79 C.1.1.4.2.1 Assembly 42 - 9.221147 -12.9516146 20.11827066
#> 80 C.1.1.4.2.2 Assembly 43 - 4.299463 2.8420127 9.95060449
#> 81 C.1.1.4.2.3 Assembly 44 - 7.102484 -28.0288847 15.16367932
#> 82 C.1.1.4.3.1 Assembly 45 - 4.385272 18.5433795 21.95942075
#> 83 C.1.1.4.3.2 Assembly 46 - 8.071459 -29.7075256 -5.36804768
#> 84 C.1.1.4.3.3 Assembly 47 - 7.148714 9.8136441 11.05020999
#> 85 C.1.1.4.3.4 Assembly 48 - 4.661363 -0.2492873 -18.49730016
#> 86 C.1.1.4.3.5 Assembly 49 - 2.857069 8.7521744 7.23387426
#> 87 C.1.1.4.4.1 Assembly 50 - 6.546347 3.1826705 8.23007957
#> 88 C.1.1.4.4.2 Assembly 51 - 3.715625 34.3777783 11.62050300
#> 89 C.1.1.4.4.3 Assembly 52 - 8.571466 30.4272946 -9.05073687
#> 90 C.1.1.4.4.4 Assembly 53 - 8.679047 -9.0978350 10.16349146
#> 91 C.1.1.4.5.1 Assembly 54 - 4.531672 -27.1616577 -14.73715705
#> 92 C.1.1.4.5.2 Assembly 55 - 8.946426 15.5077442 13.44912404
#> 93 C.1.1.4.5.3 Assembly 56 - 8.407049 -9.8383532 -5.91352500
#> 94 C.1.1.4.5.4 Assembly 57 - 7.877659 2.5984849 -0.66574356
#> 95 C.1.2.1.1.1 Assembly 58 - 3.595711 25.4843378 16.03742296
#> 96 C.1.2.1.1.2 Assembly 59 - 4.942294 26.2242739 -11.55394742
#> 97 C.1.2.1.1.3 Assembly 60 - 4.914863 28.1045404 -28.36321162
#> 98 C.1.2.1.1.4 Assembly 61 - 3.039161 -15.6364131 -24.06411319
#> 99 C.1.2.1.1.5 Assembly 62 - 5.669714 11.7334329 3.03098042
#> 100 C.1.2.1.2.1 Assembly 63 - 4.323378 -40.3180149 20.93528200
#> Cz Ixx Iyy Izz Ixy Ixz
#> 1 -0.6631918 4250838.375 4135081.317 4387869.582 -36939.709460 -5703.634810
#> 2 -2.0480047 2585081.273 2468902.684 2586058.073 -85117.550036 -37973.213859
#> 3 1.2955683 1663292.931 1659055.029 1795672.212 50176.630947 29218.383462
#> 4 2.5048850 320437.392 303359.222 307896.116 11813.853322 12051.383899
#> 5 -7.3675365 604189.223 568712.379 580609.901 2170.787077 -48654.518927
#> 6 -2.6674182 872296.759 815356.633 860561.985 -60933.818719 5139.944339
#> 7 0.5924761 782574.671 774764.842 833089.037 -38926.964140 -7496.647811
#> 8 -2.6720265 575753.163 594699.798 658365.102 -8094.274698 16633.878856
#> 9 -4.3577724 302641.248 282354.062 273741.595 3625.317732 6155.095729
#> 10 6.6687862 770796.067 751263.469 831661.198 60921.950943 12117.654302
#> 11 4.2506333 151242.291 151681.439 140003.007 -9285.981270 11631.081600
#> 12 0.4996586 163041.130 143884.885 154262.950 14334.201792 1519.832868
#> 13 -8.7423181 255264.690 233424.833 236512.404 -11454.292573 -37583.693877
#> 14 1.0825770 134251.664 108878.512 127953.741 -4491.039961 -8773.562504
#> 15 -10.7464962 211601.360 221873.089 212043.694 16207.560493 -1864.143042
#> 16 -0.2197146 126503.158 130821.452 139832.798 -27330.473253 10213.740909
#> 17 -1.9188334 145089.535 116755.199 132187.503 -11581.111520 -1088.805810
#> 18 -8.7607161 201630.697 204023.208 213195.563 -18665.528651 12743.392992
#> 19 -3.9374914 224389.998 198755.692 188721.426 -13754.623083 -3597.508026
#> 20 3.6598721 168849.350 152364.811 172480.750 10479.313700 -12953.599506
#> 21 -19.4235427 112296.219 99628.241 119189.416 -8967.033710 -17431.198538
#> 22 11.4779120 117592.469 131659.484 128036.987 -9033.019787 16001.475802
#> 23 -6.1146799 148774.141 138236.828 178429.755 -10292.287770 -4473.094373
#> 24 10.3500735 171140.859 189129.265 181772.947 2690.691116 -4928.296237
#> 25 0.1932782 216801.699 193574.314 211705.406 -17153.402260 625.542397
#> 26 -3.1579625 135100.032 143906.096 144737.897 11700.687810 14145.752255
#> 27 -1.6034710 178572.190 175405.603 195466.281 -22254.105018 6406.179276
#> 28 -5.7969012 96462.742 96314.603 119650.334 8648.899165 3211.032970
#> 29 -1.1210201 156476.577 167898.906 178778.096 -2639.826917 -6387.783054
#> 30 -10.6351375 87544.807 61464.871 67216.864 10928.233973 -9715.006440
#> 31 -8.5817965 153686.230 155943.843 138841.509 -9668.028348 10857.760966
#> 32 14.9983160 56514.549 57897.933 64554.353 1994.625620 2091.310085
#> 33 7.6261517 155060.550 172731.489 188449.966 -1180.988326 17992.792399
#> 34 -4.6150983 127797.972 130060.541 141189.756 6231.140992 13234.782556
#> 35 0.3587986 236295.355 218763.167 244473.953 29748.102177 -4158.053892
#> 36 25.1766073 133656.236 110567.391 129817.974 14334.394723 -12586.763500
#> 37 14.4091662 102298.616 95136.554 111067.089 6838.233228 -11576.735706
#> 38 -0.3965443 61834.025 78096.997 59572.314 -6527.375078 5395.749384
#> 39 5.6741907 49631.511 48157.705 52108.300 2032.938393 5822.375498
#> 40 10.6821450 34930.904 24789.140 23750.830 -4190.930886 143.800354
#> 41 -4.5443538 76113.709 70474.499 66815.560 8525.678965 9172.832441
#> 42 -3.7039578 16234.087 11931.258 13228.985 -901.438499 -407.744745
#> 43 7.1249663 64299.822 57868.559 65554.321 10793.905985 -6498.123577
#> 44 -0.5215488 25802.120 21426.183 20321.800 7007.142526 -8871.985596
#> 45 -54.2308989 40699.790 28969.192 53216.236 -389.798051 -1967.363656
#> 46 37.2370833 49016.692 53801.316 62102.617 -23667.847151 -8481.410757
#> 47 -30.4156955 26666.256 25282.456 32825.749 9625.752669 -4211.658416
#> 48 -4.2842623 70244.016 67873.034 57809.930 -1798.097754 -16692.198404
#> 49 -0.8658027 67978.979 68562.962 71543.024 5597.424174 -1450.476777
#> 50 14.7472978 11710.319 9451.792 5392.489 -1154.000314 1549.644821
#> 51 -0.7147679 44702.677 29798.364 41047.611 -8224.070232 -8803.942028
#> 52 -1.2035096 68716.185 77494.203 69998.249 682.943523 5380.366191
#> 53 6.1837950 45539.575 37747.562 31778.429 -894.227254 -2205.055746
#> 54 -27.1208730 32001.064 36022.283 33397.266 1286.265320 6640.073682
#> 55 -39.8514468 13767.543 8518.348 19751.283 4102.708394 -805.436120
#> 56 -12.4309214 40413.313 39053.718 37819.265 11438.911688 -16568.649985
#> 57 23.7129294 17914.728 18011.833 14498.468 -2522.745587 1951.342447
#> 58 4.8240934 47107.418 34826.432 42046.974 -7820.613126 -1357.170670
#> 59 -12.0566515 27245.653 31664.948 31844.969 -1038.517625 2406.528967
#> 60 -16.8613960 22398.262 15926.045 17986.742 -3034.105592 -1014.837352
#> 61 -19.4565775 29306.978 36823.491 31638.809 -2419.138856 2246.198531
#> 62 -40.1297937 28681.447 21415.051 31652.751 -54.270761 445.738104
#> 63 61.5224118 15104.515 15808.218 22972.538 -10930.207774 -5434.176365
#> 64 15.3692288 33413.069 16065.064 33156.425 1435.964390 5.324233
#> 65 -11.2910109 33212.756 30248.221 38324.342 -3278.078554 4005.081612
#> 66 -6.5829677 41566.285 42422.412 35744.647 -15428.427820 14420.904167
#> 67 -25.6112022 58658.860 58143.425 73887.573 902.270630 -3914.190103
#> 68 11.3914814 57244.740 60986.944 54086.293 895.060402 -7231.069433
#> 69 12.9315467 47300.076 31742.958 30558.384 -1786.847202 -2448.104881
#> 70 -12.8107747 46172.406 38476.417 26448.545 2420.608542 -3046.753699
#> 71 -14.6217761 47118.477 53262.518 54675.749 -2701.579069 8297.293608
#> 72 -13.8553414 15442.545 17479.214 16522.048 -6762.218355 3692.859012
#> 73 4.8308673 60274.209 47475.963 50518.431 -6085.886006 -7223.677186
#> 74 -2.0005279 77651.725 77646.268 80275.007 8934.508771 -4972.858909
#> 75 37.1182973 42881.466 37620.311 60396.135 5854.943852 25.532832
#> 76 -40.3704964 25251.230 18641.583 24976.286 -3965.704286 -5323.966652
#> 77 -14.9787214 62055.788 64431.582 66092.586 -4340.703949 -14732.151880
#> 78 -25.0201270 43839.614 34181.196 46424.094 -6596.315421 -3188.236242
#> 79 6.0089634 56366.616 73013.899 73292.893 4326.703575 6202.775527
#> 80 -6.6518134 21565.271 17640.749 16774.955 -5840.353150 -1552.799161
#> 81 29.5530054 35334.222 34382.839 35039.624 -7829.141811 8184.825631
#> 82 5.1629471 23808.615 28243.470 25468.843 -3420.554833 255.728694
#> 83 -15.0253938 52783.679 36955.981 50019.347 -10080.945732 -2256.741058
#> 84 -2.6368738 29670.714 24878.994 43039.411 7089.265059 1044.390584
#> 85 -28.3844982 21048.263 25036.480 34783.807 3886.212091 652.602147
#> 86 29.3807428 9464.371 6539.682 10930.743 -3557.958442 42.081181
#> 87 6.2163752 45781.230 52451.069 39868.536 4925.106466 7244.622250
#> 88 34.2572689 10816.878 15469.580 9007.646 -1830.707816 -5213.195232
#> 89 29.3326880 43159.704 47347.169 56508.271 -10980.918893 7969.294805
#> 90 -15.5143314 58130.546 53587.890 65122.796 7776.752360 -4968.301893
#> 91 -3.5262336 22338.766 23560.611 25873.052 -1021.125862 -1676.779659
#> 92 15.3859078 66431.623 66080.346 70565.742 10716.377438 10761.397161
#> 93 -8.3642779 54194.688 38445.743 55862.916 -7242.065427 -11406.215778
#> 94 -5.7882373 67911.593 56173.629 50215.057 -15453.446121 6098.142511
#> 95 -20.3015564 14710.870 20161.217 26662.473 6130.319712 -5113.091626
#> 96 -26.1093416 23748.472 21334.617 21342.264 -3171.608511 1197.094654
#> 97 -9.5517007 24221.324 29050.641 24663.905 -2.231148 7765.307764
#> 98 17.0838864 14448.750 21804.422 19776.953 4805.199488 125.128676
#> 99 22.4133365 43518.472 38061.765 41974.243 4664.189190 5481.732378
#> 100 13.1399591 16230.774 23189.151 24322.460 -2317.667232 -8094.085645
#> Iyz Ipoint sigma_mass sigma_Cx sigma_Cy sigma_Cz sigma_Ixx
#> 1 -41942.778890 FALSE 10.2947890 1.381855 1.407531 1.394688 138446.949
#> 2 -24491.138285 FALSE 7.8143089 1.782194 1.841904 1.829756 108001.615
#> 3 -18581.162253 FALSE 6.7021831 2.182675 2.181724 2.153366 86550.515
#> 4 -7007.889017 FALSE 2.6976697 4.984638 5.143223 5.288776 38638.991
#> 5 -26282.536240 FALSE 3.7151052 3.745609 3.845263 3.834822 49136.565
#> 6 7778.840431 FALSE 4.5362470 3.089637 3.254088 3.201888 64307.679
#> 7 3282.213215 FALSE 4.4052761 3.177938 3.239979 3.196096 59947.771
#> 8 -30339.749388 FALSE 3.9231784 3.541110 3.479111 3.491385 49715.156
#> 9 -5803.382726 FALSE 2.9352680 5.176938 5.277841 5.330365 36925.377
#> 10 24588.805516 FALSE 4.5729784 3.231771 3.281807 3.171157 59878.937
#> 11 -3665.048708 FALSE 2.0037787 6.712238 6.835242 7.050809 26174.582
#> 12 -4317.230079 FALSE 1.8061817 7.246186 7.636462 7.967726 27902.839
#> 13 -15618.080046 FALSE 2.3317706 5.999269 6.168735 6.328822 32199.533
#> 14 -12660.695787 FALSE 1.7828752 7.445890 8.410330 7.744262 22518.589
#> 15 1819.449055 FALSE 2.2773249 6.176942 6.038411 6.106111 29257.482
#> 16 -8358.576150 FALSE 1.7828752 8.304336 8.633568 8.088626 25091.882
#> 17 -2664.522232 FALSE 2.0037787 7.313716 7.945855 7.973809 27411.527
#> 18 6524.161885 FALSE 2.2026381 6.679201 6.930867 6.864306 31706.267
#> 19 8522.567433 FALSE 2.2588847 5.775885 6.145021 6.342012 31692.227
#> 20 2207.661280 FALSE 1.8519151 6.886384 7.338415 6.887791 26751.675
#> 21 -9165.972965 FALSE 1.5841262 9.228064 10.152855 9.212524 24044.580
#> 22 16261.755436 FALSE 1.8061817 7.440766 7.351605 7.379150 21990.181
#> 23 -3840.001909 FALSE 2.1835672 6.583193 6.699780 6.371265 25494.629
#> 24 21945.766469 FALSE 2.1253283 6.893469 6.553788 6.744347 27563.923
#> 25 -18281.983865 FALSE 2.0855990 6.128316 6.631502 6.598516 32320.029
#> 26 5.303518 FALSE 1.9827962 7.521495 7.349680 7.674871 24440.473
#> 27 -9853.100892 FALSE 2.1643284 6.316961 6.320899 6.223356 27305.603
#> 28 3122.748235 FALSE 1.7110518 7.850957 7.438876 7.864638 21251.304
#> 29 -22770.952906 FALSE 1.9615892 6.733433 6.726673 6.534697 25180.932
#> 30 15205.337279 FALSE 1.4168855 8.822129 10.293580 9.685666 18663.601
#> 31 -16077.685964 FALSE 2.2215452 7.213945 7.095451 7.561693 27423.226
#> 32 -5237.531391 FALSE 1.2934336 12.459427 12.192670 11.314738 15462.253
#> 33 6516.436175 FALSE 2.1835672 7.340154 6.971327 6.741022 28157.262
#> 34 -8520.729962 FALSE 2.0037787 7.139603 7.170140 6.766174 23640.489
#> 35 9962.012056 FALSE 2.4879692 5.832823 6.355414 5.928080 34261.511
#> 36 11234.043728 FALSE 1.7353233 8.485650 8.543518 8.823966 24680.800
#> 37 9468.427630 FALSE 1.7110518 7.813557 8.057258 7.799337 19305.842
#> 38 -3519.950456 FALSE 1.2270589 10.530046 9.544904 10.717333 14733.483
#> 39 4559.129833 FALSE 1.2606831 11.412357 11.882169 12.389001 17534.265
#> 40 -5964.771263 FALSE 0.9592360 13.305175 15.109247 13.933528 11831.458
#> 41 2156.088143 FALSE 1.1201464 11.424240 11.751281 13.320689 19063.084
#> 42 -5010.271328 FALSE 0.7652056 13.648413 15.119935 15.806349 7052.866
#> 43 -267.974948 FALSE 1.1924869 11.759749 12.304587 12.256069 18320.074
#> 44 5154.870321 FALSE 0.8180392 19.224984 21.158401 22.782221 11750.729
#> 45 -3477.048727 FALSE 1.1568822 12.039248 12.156564 9.709652 11511.653
#> 46 -13859.423581 FALSE 1.0018894 12.649486 12.594879 11.486216 13904.871
#> 47 5127.483013 FALSE 0.8180392 18.872501 20.591145 18.447395 10727.297
#> 48 -2711.865923 FALSE 1.3253750 10.292927 10.022772 11.437673 16689.783
#> 49 -2070.208823 FALSE 1.1924869 10.400848 10.441629 10.233606 15712.797
#> 50 -991.987274 FALSE 0.6467168 17.529379 20.857302 24.275711 6886.867
#> 51 -11515.303437 FALSE 1.1568822 12.822992 15.770028 13.384913 12941.936
#> 52 -11916.268826 FALSE 1.2270589 10.822313 10.369127 10.434195 16266.180
#> 53 4523.028756 FALSE 1.0427995 11.831774 12.601053 14.741998 13239.236
#> 54 -4774.940657 FALSE 1.0018894 12.301856 12.385367 12.886127 10080.195
#> 55 295.936924 FALSE 0.7652056 21.689802 19.528472 14.808837 7058.913
#> 56 9609.927691 FALSE 1.0018894 14.872630 16.238908 15.277496 14749.200
#> 57 -3248.312482 FALSE 0.8180392 16.117895 14.872489 15.207556 7749.041
#> 58 -342.568165 FALSE 0.8180392 14.283946 16.789006 15.120375 13416.572
#> 59 -3073.149111 FALSE 1.0821642 13.443952 14.868565 13.814772 12223.041
#> 60 -6695.678659 FALSE 0.8180392 16.702337 22.098576 21.230613 13265.437
#> 61 -131.506377 FALSE 1.1924869 14.458308 12.291893 15.421516 15031.839
#> 62 3742.217686 FALSE 1.1201464 14.697871 16.756221 14.395299 13048.222
#> 63 -5155.417997 FALSE 0.7084428 17.445192 17.333954 14.294451 7146.378
#> 64 3015.467649 FALSE 0.9145957 12.187637 15.278618 12.745551 11293.534
#> 65 -2656.345652 FALSE 1.0018894 13.972706 15.354498 14.076725 11506.476
#> 66 12337.712023 FALSE 0.8180392 14.435127 14.115629 15.501806 12499.689
#> 67 11840.405547 FALSE 1.2270589 11.693938 12.275090 10.878183 17562.834
#> 68 -14301.486339 FALSE 1.2934336 12.813649 13.287596 14.320008 18753.692
#> 69 12811.505498 FALSE 0.9592360 12.121174 13.099778 13.499410 13861.647
#> 70 -847.222299 FALSE 0.9592360 12.670042 15.013882 16.781315 14816.430
#> 71 -1158.885711 FALSE 1.1924869 10.545662 11.209283 10.317940 16090.063
#> 72 1007.568218 FALSE 0.8180392 21.987821 21.265088 24.161397 8732.200
#> 73 -3585.739955 FALSE 1.0821642 11.794928 12.327523 13.006474 14767.459
#> 74 10782.268288 FALSE 1.2270589 9.950426 9.594029 9.702972 16671.771
#> 75 6936.382566 FALSE 1.1568822 12.410635 14.154518 11.261377 15748.968
#> 76 -6866.109439 FALSE 0.7652056 14.387171 16.174235 13.875835 9426.115
#> 77 -1595.625647 FALSE 1.2270589 13.133393 14.019218 13.230723 19121.508
#> 78 -6073.206514 FALSE 1.0018894 12.598918 13.849975 12.418721 13255.393
#> 79 1578.772095 FALSE 1.1924869 12.008486 11.752165 11.215338 16359.498
#> 80 5635.594394 FALSE 0.8180392 15.318773 15.776656 16.288142 8778.872
#> 81 9203.878220 FALSE 1.0821642 11.377459 11.431763 11.707543 10973.681
#> 82 -3168.856714 FALSE 1.0018894 17.455688 15.378314 16.551863 9201.722
#> 83 -940.782920 FALSE 1.2270589 11.085593 12.733988 12.109048 15519.180
#> 84 2868.150821 FALSE 1.0018894 12.088755 12.619549 10.970111 10348.333
#> 85 2829.401355 FALSE 0.8676616 15.864164 15.040975 12.959421 7788.770
#> 86 -1027.319079 FALSE 0.7084428 20.116213 22.045985 22.078366 10035.809
#> 87 1654.211542 FALSE 1.0018894 13.314084 12.409482 13.593848 12623.643
#> 88 -55.162112 FALSE 0.8180392 15.886376 13.619123 17.241282 6582.330
#> 89 2941.045792 FALSE 1.2270589 13.479632 12.436378 10.944834 13679.904
#> 90 14461.092328 FALSE 1.1568822 11.532989 12.422940 12.499412 17433.626
#> 91 2797.328702 FALSE 0.9145957 16.681963 15.021215 16.645335 8884.561
#> 92 -20852.971541 FALSE 1.1201464 11.325076 12.327011 11.726102 17764.297
#> 93 -4273.136308 FALSE 1.0018894 10.494529 12.021867 10.844709 14192.316
#> 94 6580.012003 FALSE 1.1201464 11.702973 13.613453 14.552346 20477.032
#> 95 1467.005707 FALSE 0.8676616 21.633251 17.846518 18.501033 8160.481
#> 96 3473.574464 FALSE 0.8180392 13.188064 14.612661 13.988076 9024.922
#> 97 -3901.398540 FALSE 0.8676616 14.655820 12.698119 14.695340 8849.428
#> 98 -1665.416137 FALSE 0.9145957 20.393303 20.235563 22.981818 8419.821
#> 99 803.880061 FALSE 0.9592360 15.104858 16.202023 15.855532 15113.793
#> 100 -2867.232937 FALSE 0.8180392 15.246041 14.286192 14.264976 6983.953
#> sigma_Iyy sigma_Izz sigma_Ixy sigma_Ixz sigma_Iyz
#> 1 137009.710 139073.035 64821.460 63906.768 64024.216
#> 2 103675.008 106413.036 49791.550 48317.535 50123.785
#> 3 89376.703 89372.214 41411.674 41722.019 39794.807
#> 4 37230.764 35394.577 16898.628 17683.948 18016.633
#> 5 48814.540 49341.144 23321.341 22902.162 23398.201
#> 6 59394.616 61878.028 28826.884 27561.503 29301.631
#> 7 58473.048 61552.479 28528.641 27011.938 27835.874
#> 8 52835.919 53243.397 25090.214 24823.791 22600.420
#> 9 38145.433 35982.335 16268.575 18063.736 17049.638
#> 10 59901.491 60807.412 27933.383 27546.666 27651.306
#> 11 25990.709 24135.261 11648.880 12377.863 12340.521
#> 12 26001.065 24651.864 11579.898 12231.336 12825.028
#> 13 31432.432 31009.171 14813.681 14988.362 15574.425
#> 14 20353.587 21693.129 10239.135 9843.484 10856.087
#> 15 30974.873 31348.666 14648.712 14055.614 13533.108
#> 16 23585.298 26889.796 12628.435 11017.978 11569.801
#> 17 25573.804 23897.372 10772.949 11482.496 11591.548
#> 18 29929.200 30508.346 14386.601 14177.424 14768.103
#> 19 27843.234 28779.542 12981.406 12470.376 13886.484
#> 20 24184.439 26575.963 12727.372 11592.323 13118.251
#> 21 21460.326 24968.450 11597.270 10381.893 11087.421
#> 22 22585.310 22689.935 10305.491 10307.734 10099.121
#> 23 24393.328 27190.489 12977.100 11434.763 11592.999
#> 24 30129.407 29502.912 13082.245 13298.357 13067.558
#> 25 28887.666 31192.780 14730.324 13427.046 14963.041
#> 26 25660.622 24771.129 11581.874 11775.493 11005.418
#> 27 30154.804 31098.867 14395.250 14118.471 12714.047
#> 28 22575.790 21748.938 10248.031 10693.686 8620.818
#> 29 25676.919 26189.111 12652.706 12249.382 11973.502
#> 30 15193.276 16940.245 7747.883 7035.366 8892.595
#> 31 30079.660 25397.142 10968.544 14186.802 12136.028
#> 32 16824.529 18590.616 8961.091 8126.012 7598.579
#> 33 31224.031 30289.936 13203.630 13501.351 12962.616
#> 34 23908.806 24132.276 11362.995 11351.608 11012.881
#> 35 30727.889 33968.969 15492.821 14389.849 15528.989
#> 36 24496.828 23317.081 10934.029 11144.141 11452.882
#> 37 19410.711 20455.556 9835.921 9331.513 9153.404
#> 38 16828.491 14549.121 6976.982 8217.137 7027.437
#> 39 17112.925 15348.131 7254.852 8118.617 8215.079
#> 40 9834.772 10769.491 5417.159 4371.587 5447.594
#> 41 18492.087 15575.028 7344.754 8497.043 8569.518
#> 42 5729.766 6091.599 2928.888 2601.885 3328.708
#> 43 16906.310 17022.878 7891.701 8125.724 8452.600
#> 44 11347.356 9914.999 4932.979 5124.516 5480.345
#> 45 9861.240 13679.923 6286.843 4415.265 5260.948
#> 46 14498.227 15924.199 7464.783 6763.513 6932.155
#> 47 9383.048 11308.251 5703.399 4500.438 4911.631
#> 48 17932.585 15589.266 7404.420 8361.155 7764.955
#> 49 16305.340 16046.848 7561.804 8076.351 7464.567
#> 50 6173.450 4380.487 2041.620 2506.591 2950.973
#> 51 10267.694 12213.207 5924.253 4939.920 6400.818
#> 52 17567.170 17473.516 8333.429 8003.344 7316.138
#> 53 12113.392 9860.479 4767.953 5583.670 6330.964
#> 54 10471.463 10516.392 5088.909 5283.599 5212.552
#> 55 8131.024 10956.507 4466.789 2493.950 3112.725
#> 56 14087.346 15465.192 7247.356 6510.085 6315.069
#> 57 8817.625 8983.271 3462.570 3162.141 3450.989
#> 58 11151.899 13155.350 6133.905 5639.423 6724.008
#> 59 10785.911 12912.640 5622.486 4978.598 5269.410
#> 60 9640.960 11467.796 5220.079 3491.404 5821.417
#> 61 17832.983 11458.550 4761.200 7557.411 5287.258
#> 62 11238.274 12808.108 5596.668 4699.515 4728.679
#> 63 7121.898 9380.010 4698.545 3308.008 3225.541
#> 64 6928.354 11207.632 4986.397 3401.131 4883.420
#> 65 10191.389 12025.916 5916.096 4748.979 5236.058
#> 66 12575.845 11271.841 5553.567 6025.702 6019.892
#> 67 15898.439 18365.270 8826.166 7410.660 7769.640
#> 68 17750.470 16377.253 7021.108 8426.863 8894.121
#> 69 11651.090 11089.613 4916.974 4969.269 6811.463
#> 70 12489.522 10660.552 4952.691 5275.112 6539.900
#> 71 13520.695 16954.364 7040.899 5980.518 5801.608
#> 72 9178.339 8835.853 4224.520 4313.824 3457.338
#> 73 12989.507 13424.739 6416.989 6011.235 6930.706
#> 74 17228.103 17801.701 8416.339 8074.690 8180.107
#> 75 12496.771 16514.729 7953.316 5986.195 7501.474
#> 76 7768.525 8954.246 4481.285 3748.809 4391.471
#> 77 18286.980 20058.643 9279.260 8776.125 8816.869
#> 78 11007.740 13523.704 6329.548 5433.700 6108.691
#> 79 17448.654 18053.113 7929.810 7835.069 7400.597
#> 80 8078.036 8169.740 3913.469 3677.293 3979.679
#> 81 10625.803 10509.414 5000.745 4950.013 5195.732
#> 82 10581.643 10601.086 5258.173 4907.174 4311.171
#> 83 12569.073 14670.903 6607.330 5441.640 6329.251
#> 84 9254.814 12319.257 5882.463 4477.756 4843.006
#> 85 9055.263 10873.608 5057.245 4354.974 3682.023
#> 86 9013.900 8864.631 4395.370 4313.845 4981.607
#> 87 13890.933 11906.060 5418.723 6469.266 6155.065
#> 88 8432.532 5415.193 2404.904 4105.017 2841.780
#> 89 17192.092 19244.706 8065.847 6691.520 6390.106
#> 90 15670.390 16498.445 7549.695 6932.435 8248.637
#> 91 10929.401 9702.210 4442.907 5124.300 4362.045
#> 92 16237.902 17843.151 8395.142 7777.593 8415.474
#> 93 11378.642 14249.578 6798.776 5520.122 6801.925
#> 94 16634.418 17679.065 8336.675 7204.955 8953.574
#> 95 10415.698 10970.891 5351.231 4053.779 3153.034
#> 96 8463.589 8192.303 3787.577 4055.605 4009.551
#> 97 9853.810 9185.831 4286.439 4498.042 4084.347
#> 98 10031.734 8697.144 3951.314 4293.925 3643.810
#> 99 14484.127 14719.063 6612.934 7020.121 6827.318
#> 100 9004.845 8939.443 4225.297 4363.876 3453.647