Formulas for Structural Dynamics: Tables, Graphs and Solutions

| First and second eigenfunctions | |||||||||
|---|---|---|---|---|---|---|---|---|---|
| First Span | |||||||||
| ? | X 1 | X ? 1 | X ? 1 | X ? ? 1 | X 2 | X ? 2 | X ? 2 | X ? ? 2 | |
| 0 | 0.000 | 0.000 | 11.35 | ?41.57 | 0.000 | 0.000 | 25.07 | ?106.3 | 1 |
| 0.05 | 0.0133 | 0.5153 | 9.269 | ?41.54 | 0.0291 | 1.121 | 19.76 | ?106.1 | 0.95 |
| 0.1 | 0.0498 | 0.9269 | 7.197 | ?41.30 | 0.1076 | 1.976 | 14.47 | ?105.1 | 0.90 |
| 0.15 | 0.1042 | 1.235 | 5.145 | ?40.69 | 0.2223 | 2.569 | 9.280 | ?102.3 | 0.85 |
| 0.2 | 0.1716 | 1.442 | 3.136 | ?39.59 | 0.3603 | 2.907 | 4.280 | ?97.33 | 0.80 |
| 0.25 | 0.2468 | 1.550 | 1.196 | ?37.92 | 0.509 | 3.003 | ?0.4117 | ?89.92 | 0.75 |
| 0.3 | 0.3250 | 1.563 | ?0.6461 | ?39.79 | 0.6568 | 2.874 | ?4.670 | ?79.97 | 0.70 |
| 0.35 | 0.4017 | 1.488 | ?2.358 | ?39.73 | 0.793 | 2.545 | ?8.368 | ?67.58 | 0.65 |
| 0.4 | 0.4725 | 1.330 | ?3.909 | ?29.23 | 0.9085 | 2.048 | ?11.39 | ?53.03 | 0.60 |
| 0.45 | 0.5335 | 1.100 | ?5.272 | ?25.20 | 0.9956 | 1.419 | ?13.64 | ?36.74 | 0.55 |
| 0.5 | 0.5814 | 0.8066 | ?6.422 | ?20.73 | 1.049 | 0.6978 | ?15.05 | ?19.26 | 0.50 |
| 0.55 | 0.6133 | 0.4616 | ?7.340 | ?15.94 | 1.065 | ?0.0710 | ?15.56 | ?1.174 | 0.45 |
| 0.6 | 0.6269 | 0.0767 | ?8.013 | ?10.97 | 1.042 | ?0.8428 | ?15.16 | 16.85 | 0.40 |
| 0.65 | 0.6205 | ?0.3355 | ?8.436 | ?5.968 | 0.981 | ?1.573 | ?13.88 | 34.15 | 0.35 |
| 0.7 | 0.5931 | ?0.7627 | ?8.612 | ?1.101 | 0.8858 | ?2.217 | ?11.77 | 50.12 | 0.30 |
| 0.75 | 0.5442 | ?1.193 | ?8.551 | 3.461 | 0.7614 | ?2.737 |