shimering 发表于 2007-5-31 14:19

在文献里看到的特征值与系统固有频率的关系..不懂,请教!!

系统为0.6*0.8*1的立方体(盒子),计算它的固有频率,以下是用fortran计算出来的,用边界元法。得到的是特征值和特征向量,我不明白的是怎么把特征值和系统的固有频率联系起来的?
THE NUMBER OF ELEMENT: 24
THE NUMBER OF BOUNDARY NODE: 26
THE NUMBER OF INTENAL NODE: 24
1   0.2240583252E+040.0000000000E+00
   2   0.8404309082E+030.0000000000E+00
   3   0.6493916626E+030.0000000000E+00
   4   0.6109667969E+030.0000000000E+00
   5   0.5830488892E+030.0000000000E+00
   6   0.5539835205E+030.0000000000E+00
   7   0.5242087402E+030.0000000000E+00
   8   0.4787617798E+030.0000000000E+00
   9   0.4634256592E+030.4488579941E+02
10   0.4634257507E+03 -0.4488580704E+02
11   0.4337142334E+030.2527867889E+02
12   0.4337142639E+03 -0.2527868462E+02
13   0.4145792847E+030.0000000000E+00
14   0.4120252686E+030.0000000000E+00
15   0.3362085876E+030.0000000000E+00
16   0.3359414368E+030.0000000000E+00
17   0.3325782166E+030.0000000000E+00
18   0.3062510376E+030.0000000000E+00
19   0.2853010864E+030.0000000000E+00
20   0.2782466125E+030.0000000000E+00
21   0.2446512604E+030.0000000000E+00
22   0.2430144958E+030.0000000000E+00
23   0.2324984741E+030.1720062637E+02
24   0.2324984741E+03 -0.1720063019E+02
25   0.2067519531E+030.2506055069E+02
26   0.2067519531E+03 -0.2506055069E+02
27   0.2007818451E+030.0000000000E+00
28   0.1887295532E+030.1797252846E+02
29   0.1887295837E+03 -0.1797253036E+02
30   0.1467097015E+030.0000000000E+00
31   0.1385757904E+030.0000000000E+00
32   0.1254487610E+030.0000000000E+00
33   0.1129418106E+030.0000000000E+00
34-0.9857665253E+020.0000000000E+00
35   0.9438014221E+020.0000000000E+00
36   0.8159667969E+020.0000000000E+00
37   0.7372013092E+020.3109792328E+02
38   0.7372012329E+02 -0.3109791946E+02
39   0.6762364197E+020.0000000000E+00
40   0.5543163300E+020.2190728569E+02
41   0.5543162537E+02 -0.2190728569E+02
42   0.5404901886E+020.0000000000E+00
43   0.4721386719E+020.0000000000E+00
44   0.3918638992E+020.0000000000E+00
45   0.3726289749E+020.0000000000E+00
46   0.3015896988E+020.0000000000E+00
47   0.2736175537E+020.0000000000E+00
48   0.1688852692E+020.0000000000E+00
49   0.1119513035E+020.0000000000E+00
50   0.1422666287E-060.0000000000E+00
EIGENVECOTR:
   1   0.1187972650E+000.0000000000E+00
   2-0.1501397695E-010.0000000000E+00
   3   0.1187981442E+000.0000000000E+00
   4-0.7422050089E-010.0000000000E+00
   5   0.1187971234E+000.0000000000E+00
   6-0.1501230244E-010.0000000000E+00
   7   0.1187967211E+000.0000000000E+00
   8-0.7421976328E-010.0000000000E+00
   9   0.8925176226E-020.0000000000E+00
10   0.3278426453E-010.0000000000E+00
11   0.8924868889E-020.0000000000E+00
12-0.5435488373E-010.0000000000E+00
13   0.8924612775E-020.0000000000E+00
14   0.3278468177E-010.0000000000E+00
15   0.8925253525E-020.0000000000E+00
16-0.5435537547E-010.0000000000E+00
17   0.1187971532E+000.0000000000E+00
18-0.1501377206E-010.0000000000E+00
19   0.1187976003E+000.0000000000E+00
20-0.7422064990E-010.0000000000E+00
21   0.1187983453E+000.0000000000E+00
22-0.1501495671E-010.0000000000E+00
23   0.1187987924E+000.0000000000E+00
24-0.7422098517E-010.0000000000E+00
25-0.1497225463E+000.0000000000E+00
26-0.1497257948E+000.0000000000E+00
27   0.2711607218E+000.0000000000E+00
28-0.1636084467E+000.0000000000E+00
29   0.2711596489E+000.0000000000E+00
30   0.2711593211E+000.0000000000E+00
31-0.1636077762E+000.0000000000E+00
32   0.2711598873E+000.0000000000E+00
33-0.9525279701E-010.0000000000E+00
34-0.1037727147E+000.0000000000E+00
35-0.9525147825E-010.0000000000E+00
36-0.9525223821E-010.0000000000E+00
37-0.1037731618E+000.0000000000E+00
38-0.9525310248E-010.0000000000E+00
39-0.9525129944E-010.0000000000E+00
40-0.1037721187E+000.0000000000E+00
41-0.9525182098E-010.0000000000E+00
42-0.9525004029E-010.0000000000E+00
43-0.1037747264E+000.0000000000E+00
44-0.9524963051E-010.0000000000E+00
45   0.2711601853E+000.0000000000E+00
46-0.1636091173E+000.0000000000E+00
47   0.2711593211E+000.0000000000E+00
48   0.2711583972E+000.0000000000E+00
49-0.1636082530E+000.0000000000E+00
50   0.2711580396E+000.0000000000E+00

以下是作者得到的系统的固有频率:
24 个单元,24 个内点

阶数 解析解计算解
1   86.00   183.19
2    231.56   225.00
3    258.00   286.39
4    299.29   300.67
5    335.84   334.21
6    368.51   342.73
7    385.67   376.20
8    430.00   402.51
9    438.52   407.62
10   441.55   407.62

我想知道,作者的计算解是怎么计算出来的,各位请帮忙,如果我说的不够明白,请指出!多谢!!!

pengweicai 发表于 2007-5-31 15:37

通常我们所接触的边界元是不能算的,
    建议你看看 边界元用于 模态分析方面的资料。
页: [1]
查看完整版本: 在文献里看到的特征值与系统固有频率的关系..不懂,请教!!