Formulas for Structural Dynamics: Tables, Graphs and Solutions

| First and second eigenfunctions | ||||||||
|---|---|---|---|---|---|---|---|---|
| | X 1 | X ? 1 | X ? 1 | X ? ? 1 | X 2 | X ? 2 | X ? 2 | X ? ? 2 |
| 0 | 0 | 0 | 7.0318 | ?9.6790 | 0 | 0 | 44.074 | ?210.71 |
| 0.025 | 0.0022 | 0.1728 | 6.7899 | ?9.6790 | 0.0132 | 1.0364 | 38.804 | ?210.65 |
| 0.05 | 0.0086 | 0.3395 | 6.5479 | ?9.6775 | 0.0507 | 1.9403 | 33.544 | ?210.30 |
| 0.075 | 0.0191 | 0.5001 | 6.3062 | ?9.6738 | 0.1092 | 2.7136 | 28.295 | ?209.34 |
| 0.1 | 0.0335 | 0.6547 | 6.0643 | ?9.6658 | 0.1853 | 3.3553 | 23.084 | ?207.58 |
| 0.125 | 0.0518 | 0.8034 | 5.8227 | ?9.6525 | 0.2759 | 3.8681 | 17.925 | ?204.79 |
| 0.15 | 0.0738 | 0.9460 | 5.5815 | ?9.6335 | 0.3776 | 4.2526 | 12.855 | ?200.83 |
| 0.175 | 0.0991 | 1.0823 | 5.3415 | ?9.6063 | 0.4874 | 4.5117 | 7.896 | ?195.59 |
| 0.2 | 0.1278 | 1.2129 | 5.1016 | ?9.5718 | 0.6021 | 4.6486 | 3.087 | ?188.98 |
| 0.225 | 0.1596 | 1.3376 | 4.8627 | ?9.5270 | 0.7188 | 4.6676 | ?1.542 | ?180.95 |
| 0.25 | 0.1946 | 1.4562 | 4.6251 | ?9.4727 | 0.8346 | 4.5733 | ?5.948 | ?171.53 |
| 0.275 | 0.2324 | 1.5689 | 4.3889 | ?9.4066 | 0.9466 | 4.3720 | ?10.106 | ?160.71 |
| 0.3 | 0.2729 | 1.6756 | 4.1551 | ?9.3288 | 1.0524 | 4.0704 | ?13.976 | ?148.56 |
| 0.325 | 0.3161 | 1.7766 | 3.9228 | ?9.2378 | 1.1494 | 3.6761 | ?17.205 | ?135.20 |
| 0.35 | 0.3617 | 1.8718 | 3.6931 | ?9.1328 | 1.2355 | 3.1970 | ?20.726 | ?120.71 |
| 0.375 | 0.4097 | 1.9613 | 3.4662 | ?9.0139 | 1.3086 | 2.6431 | ?23.551 | ?105.25 |
| 0.4 | 0.4598 | 2.0452 | 3.2423 | ?8.8796 | 1.3671 | 2.0226 | ?25.981 | ?89.00 |
| 0.425 | 0.5118 | 2.1234 | 3.0225 | ?8.7298 | 1.4093 | 1.3475 | ?27.996 | ?72.13 |
| 0.45 | 0.5659 | 2.1963 | 2.8063 | ?8.5632 | 1.4340 | 0.6266 | ? |