正交试验极差方差及单因素分析结果

周边固支
周边简支 1.5
1
0.5
0
极差分析图
最优方案：A1B2E3C3D4
最接近试验：试验6
简要结论：对自振频率主要因素是跨度、矢跨比，杆件截面类型，其中跨度起最最主要作用
F比 极差 F比 极差
球面面网壳 跨度 矢跨比 网格尺寸 网壳厚度 杆件类型
2.243 2.239 0.136 0.032 0.35 2.488 2.733 0.675 0.289 1.023 2.198 2.395 0.074 0.131 0.201 2.386 2.595 0.464 0.558 0.731
极差 极差
3
周边固支
2.5
2.5
周边简支
2
2
1.5
1.5
1
1
0.5
0.5
0
0
极差分析图
最优方案：B1A1E4C2D3
最接近试验：试验5
简要结论：对自振频率主要因素是矢跨比、跨度、杆件截面类型，其中矢跨比起最主要作用
F比 极差 F比 极差
双曲网壳 跨度 矢跨比 网格尺寸 网壳厚度 杆件类型
4.014 0.317 0.231 0.086 0.351 5 1.349 1.072 0.745 1.376
8 6.787 7.3338 7.7647 8.1891
9 7.3945 7.9948 8.4599 8.9098
10 7.3949 7.9949 8.46 8.911
11 8.091 8.7568 9.2853 9.8121
12 8.1014 8.7799 9.3257 9.8733
13 8.2719 8.9643 9.5226 10.077
1/3 1.9104 1.9105 2.3345 5.3839 5.5045 5.5048 6.9097 6.9103 8.2261 8.2264 8.5371 8.8194
1/4 2.4817 2.4818 2.8474 6.4486 6.6364 6.6365 8.2514 8.252 9.6749 9.6749 10.204 10.563
10 4.506 4.6497 4.8224 4.9766
11 5.5488 5.7146 5.8587 5.9777
12 5.9204 6.1498 6.3444 6.5041
13 5.9245 6.1776 6.3996 6.5532
14 6.0826 6.2614 6.4165 6.5904
15 6.138 6.3851 6.5998 6.7852
16 6.486 6.7385 6.9551 7.136
17 6.9234 7.1189 7.2899 7.4348
18 7.2637 7.5281 7.7571 7.9513
19 7.5718 7.8926 8.1431 8.318
500 2.2654 2.2656 2.9507 6.3829 6.3832 6.6867 8.0808 8.081 9.6806 9.6807 10.588 10.67 10.67 11.229 11.229 11.317 11.318 12.637 12.638 12.699
刚度比
0.5 3.4286 4.3659 4.366 5.3104 6.1777 6.2736 6.7939 6.7942 7.526 7.526
8.8195 9.49
9.4903 9.6115 9.6121 10.729 10.729 10.825
18 2.4817 2.4818 2.8474 6.4486 6.6364 6.6365 8.2514 8.252 9.6749 9.6749 10.204 10.563 10.563 10.996 10.997 11.104 11.105 12.255 12.256 12.282
11.592 11.633 11.633 11.658 11.659 12.662 12.663 12.806
22 2.6151 2.6151 3.0828 7.0071 7.1451 7.1452 8.8255 8.8257 10.305 10.305 11.08 11.489 11.489 11.658 11.658 11.699 11.699 12.839 12.84 12.933
11.575 11.576 11.597 12.281 12.622 12.623 12.668 12.669
24 2.6648 2.6649 3.1814 7.2435 7.3452 7.3457 9.0522 9.0527 10.551 10.552 11.45 11.868 11.868 11.911 11.911 11.912 11.912 13.041 13.041 13.19
4 2.9693 3.0996 3.2157 3.3192
5 3.138 3.2285 3.3012 3.3627
6 3.876 3.9946 4.0944 4.1694
7 3.9681 4.0979 4.2077 4.2919
8 4.4557 4.6399 4.7537 4.8529
9 4.505 4.6469 4.7684 4.8644
13 3.786 5.001 5.9245 6.943
14 3.9408 5.2452 6.0826 7.1367
15 4.1347 5.5061 6.138 7.3314
16 4.4927 5.7664 6.486 7.5527
17 4.5367 6.3621 6.9234 7.7131
18 4.7917 6.411 7.2637 8.1497
单因素分
析
双曲网壳
矢跨比
阶数
1/4
1/5
1/6
1/8
1 3.6083 3.9952 4.2635 4.5818
2 4.6255 5.2058 5.5698 5.9443
3 4.6256 5.2058 5.5699 5.9445
4 5.7013 6.3387 6.7386 7.1346
5 6.5794 7.3365 7.8315 8.3905
4.041 0.285 0.208 0.128 0.338 4.898 1.224 1.016 0.908 1.352
极差
5
周边固支
4
周边简支
3
2
1
0
极差分析图
最优方案：A1E3B2C4D4
最接近试验：试验6
简要结论：对自振频率主要因素是矢跨比、跨度、杆件截面类型，其中跨度是最显著因素
单因素分 析
球面网壳 矢跨比 阶数 1 2 3 4 5 6 7 8 9 10 11 12
刚度比
0.5 2.375 2.3751 2.8618 6.2062 6.2063 6.4829 7.6182 7.6188 8.9255 8.9255 9.8891 9.8895
13 14 15 16 17 18 19 20 网格尺寸 阶数 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
2 4.2943 4.6255 4.8818 5.1377
3 4.2947 4.6256 4.8821 5.1383
4 5.2939 5.7013 6.0167 6.3301
5 6.0542 6.5794 7.0053 7.4332
6 6.1884 6.7271 7.1694 7.612
7 6.7867 7.3335 7.7642 8.1886
19 4.9462 6.4825 7.5718 8.4194
20 5.0166 6.4954 7.6424 8.8237
网格尺寸
阶数
18
20
22
24
1 1.4487 1.5152 1.5745 1.6275
2 2.1783 2.2238 2.2539 2.2745
3 2.2705 2.3283 2.3699 2.4013
Байду номын сангаас刚度比
0.5 1.4551 2.0185 2.1241 2.9693 2.9849 3.5641 3.6655 4.187 4.2583
10 3.3391 4.2056 4.506 5.2819
11 3.3816 4.9433 5.5488 6.2301
12 3.7268 4.9962 5.9204 6.5012
F比 极差 F比 极差
柱面网壳
跨度 矢跨比 网格尺寸 网壳厚度 杆件类型
2.095 1.818 0.206 0.126 0.756
1.361 1.28 0.421 0.356 0.913
2.04 2.259 0.068 0.246 0.387
1.399
1.6 0.248 0.509 0.622
极差
2
6 6.7271 7.4043 7.8617 8.3913
7 7.3335 8.1514 8.6779 9.2318
8 7.3338 8.1518 8.6779 9.232
9 7.9948 8.8519 9.333 9.4963
10 7.9949 8.8525 9.3331 9.4963
网壳厚度
10.185 10.185 10.26 10.367 10.368 11.419 11.419 11.478
11 8.7568 9.6611 10.205 10.527
12 8.7799 9.7162 10.336 10.6
13 8.9643 9.8293 10.344 11.043
14 9.9089 10.923 11.409 11.326
15 9.9091 10.923 11.409 11.327
16 10.155 11.236 11.924 12.158
17 10.278 11.299 11.925 12.158
18 10.689 11.597 11.948 12.415
19 10.689 11.598 11.983 12.545
20 10.868 11.902 12.607 12.751
网格尺寸
阶数
16
18
20
22
1 3.3486 3.6083 3.8165 4.0256
20 10.21 10.868 11.522 12.222
单因素分
析
柱面网壳
矢跨比
阶数
1/2
1/3
1/4
1/7
1 0.88982 1.2484 1.4487 1.6845
2 0.97008 1.6762 2.1783 2.8843
3 1.1539 1.7933 2.2705 2.9672
4 1.9096 2.5832 2.9693 3.4269
14 9.2072 9.9089 10.425 10.904
15 9.2076 9.9091 10.425 10.905
16 9.3025 10.155 10.858 11.564
17 9.4071 10.278 11.001 11.722
18 9.894 10.689 11.198 11.723
19 9.8941 10.689 11.198 11.731
5 2.0831 2.797 3.138 3.6598
6 2.1356 3.1931 3.876 4.6833
7 2.3397 3.2652 3.9681 4.8101
8 2.8132 3.8599 4.4557 4.9311
9 2.8859 3.8679 4.505 5.1587
8.0887 8.1206 8.3281 9.1858 9.1859 9.5359 9.6372 9.998 9.9993 10.318 网壳厚度 400 3.1599 4.0911 4.0913 4.9568 6.132 6.2825 6.7163 6.7176 7.7799 7.7809 8.216 8.3556 8.4758 9.5678 9.5686 10.186 10.309 10.63 10.63 10.927
1/5 2.8727 2.8727 3.1617 7.0947 7.3419 7.3423 9.0346 9.0348 10.429 10.429 11.213 11.591
1/7 3.3385 3.3386 3.4956 7.7783 8.1125 8.1127 9.6072 9.6075 10.61 10.61 11.268 11.269
10.563 10.996 10.997 11.104 11.105 12.255 12.256 12.282
20 2.5556 2.5556 2.9725 6.7442 6.9119 6.9122 8.5603 8.5607 10.014 10.014 10.668 11.059 11.06 11.353 11.354 11.438 11.438 12.595 12.595 12.623